Acta Polytechnica https://doi.org/10.14311/AP.2025.65.0371 Acta Polytechnica 65(4):371–394, 2025 © 2025 The Author(s). Licensed under a CC-BY 4.0 licence Published by the Czech Technical University in Prague ENERGY MANAGEMENT FOR ELECTRIC VEHICLES WITH BATTERY AND SUPERCAPACITOR Abhishek Shankar Bhagata, Vaiju Kalkhambkara,∗, Pranda Prasanta Guptab, Vivek Prakashc a Shivaji University, Rajarambapu Institute of Technology, Department of Electrical Engineering, 415409 Maharashtra, India b GLA University, Department of Electrical Engineering, Mathura, 281406 Uttar Pradesh, India c Bansthali Vidyapith, School of Automation, Tonk, 304022 Rajasthan, India ∗ corresponding author: kvaijnath@gmail.com Abstract. This paper proposes an energy management strategy for battery and supercapacitor hybrid energy storage systems for electric vehicles. The main objective of the hybrid energy storage systems is to extend the durability of the battery pack by minimising peak currents of the battery during the charging and discharging of the battery in high power demand operations. During regenerative braking, energy is captured in the supercapacitor and is later used in high-power demand operations. In the proposed approach, energy consumption is reduced, the size of the battery pack is reduced, and the vehicle range is extended. The approach is based on a simple rule of power splitting in average, peak, and regenerative modes. The proposed hybrid energy management system is implemented and tested in MATLAB Simulink environment for different standard drive cycles. Keywords: Hybrid energy storage system, energy management system, supercapacitor, regenerative braking, electric vehicle. 1. Introduction Internal combustion engine vehicles are a significant source of environmental pollution and present a chal- lenge for the automotive industry. Electric tech- nologies like HEVs have been developed with var- ious energy storage options to address this issue, though some still depend on internal combustion en- gines [1]. Initial studies show that EVs can over- come these obstacles and meet the fuel economy de- mands if battery designers collaborate with the devel- opment team to improve power and energy density and battery cycle life [2]. Electric vehicles are con- sidered a promising solution for sustainable urban transportation due to their high efficiency and local emissions. The primary challenges regarding elec- tric vehicles (EVs) are their short range compared to internal combustion engine vehicles (ICEV) that meet the practical needs of consumers and the long battery recharge time. One effective approach is to use regenerative braking energy to extend the range of electric vehicles and prevent the need for extra energy storage [3]. When an electric vehicle acceler- ates at high speeds, the transient current resulting from regenerative braking feedback in the motor cur- rent can surge up to 200 A or more [4]. The high current generated during regenerative braking can cause damage to lithium-ion batteries, whereas super- capacitors with higher power density enable efficient and quick charging from significant braking energy through the conversion of kinetic energy into electrical energy [5, 6]. However, according to previous research, the drastic change in battery charging/discharging power require- ments, especially in urban areas, can reduce battery life [7]. One possible solution could be high-specific energy storage devices that can support high-peak power applications without a significant loss of durabil- ity [8]. Regenerative braking systems depend mostly on batteries alone as their energy storage component. However, this system has several drawbacks, including poor temperature characteristics, low specific power, and short life cycle. Additionally, the high power de- mands of vehicles, particularly in cities where there are loads is a lot of starting, accelerating, and decel- erating, might damage the battery [9]. To address this problem, high-power density energy sources such as supercapacitors (SC) can help reduce the surge of high current charging and discharging on the bat- tery [5]. The proposed Energy Management System (EMS) higher-level strategy includes using a superca- pacitor to supply high power during peak demand and recover the braking energy. This is achieved through the implementation of the adaptive low-pass filter technique [10]. For optimal utilisation of regenerative braking (RB), an energy management system (EMS) is necessary. The EMS enables efficient distribution of power consumption among different sources within the vehicle’s energy storage system. This ensures effective utilisation of kinetic energy, optimal vehicle perfor- mance, and improvement of battery life cycle [11]. Supercapacitors are an attractive option for electric vehicles, because of their many benefits, including high 371 https://doi.org/10.14311/AP.2025.65.0371 https://creativecommons.org/licenses/by/4.0/ https://www.cvut.cz/en A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica power density, extended life cycle, and strong transient charge and discharge performance [6, 12, 13]. The switched structure of battery/supercapacitor (SC) hy- brid energy storage systems (HESS) allows for switch- ing between the battery and the SC energy storage during different vehicle operations [12]. A control strategy for a fully-active hybrid energy storage sys- tem that uses two bidirectional DC/DC converters to regulate battery and supercapacitor currents as well as DC bus voltage can be seen here [11]. A con- trol algorithm for the fully active HESS, is shown in reference [13]. Various aspects of lithium-ion bat- teries, including EV systems, energy management systems, challenges, and recommendations for future work, including battery components, energy storage, management systems, monitoring, and protection, can be found in reference [5]. Integrating the battery and SC units in to the DC-bus of the inverter is a ma- jor challenge when designing a hybrid energy storage system (HESS). There are many challenges faced in HESS development, such as the size of energy storage devices, controlling the supercapacitor charge, and maintaining the DC bus voltage constant [9, 14]. The size and type of the Energy Storage System (ESS) used mainly depend on driving patterns, which can vary based on factors, such as driver behavior, lo- cation, and traffic conditions [15]. Therefore, it’s important to understand the impact of these driving patterns on the ESS size to prevent under or over- sizing [16]. There are several commonly used methods for designing an Energy Management System (EMS) with a hybrid Energy Storage System (HESS), Fuzzy logic [17, 18], rule base [12, 19], nonlinear program- ming [7], sliding mode [13], classical controller and hysteresis controller [20]. This paper presents an innovative control strategy for regenerative braking systems, an allocation con- trol mechanism that effectively splits the required optimal brake torque into two different components. These components are then precisely assigned to the friction brakes and regenerative brakes, respectively, optimising their functions [21]. The rule-based en- ergy management strategy incorporates primary and secondary hierarchical energy management strate- gies. These strategies are integrated into the charge- depleting/charge-sustaining (CD/CS) control strat- egy [19]. The approach involves a setup of the drive system and an execution of the frequency separation technique [22]. The DC bus voltage regulation ensures energy balance in the hybrid system. A supercapacitor pack, known for its high power density and dynamic characteristics, supplies energy and maintains a stable DC bus voltage [23]. The sequential logic controller plays an important role in activating various regula- tion controllers and facilitating the switching between the storage devices based on the system’s different driving modes [24]. The main objective of the con- troller is to ensure correct tracking of the reference values for the battery current, supercapacitor (SC) current, and DC bus voltage. The control inputs used are the duty cycles of two DC/DC converters. The SC current is also controlled as it helps maintaining the DC bus voltage at a constant level. Specifically, the reference values for battery and SC currents are calculated by the Energy Management System (EMS), which uses a rule-based controller to regulate the DC bus voltage within the desired value range. Addition- ally, the proposed rule-based controller regulates both the battery and the SC currents. This paper proposes a simplified rule-based control strategy for a hybrid energy storage system (HESS) us- ing supercapacitors and a battery, connected by a bidi- rectional DC/DC converter. The control strategy regu- lates the supercapacitors output and charging current, which are calculated based on the energy manage- ment strategy, which controls the DC/DC converter’s switching between the battery and supercapacitors in different driving modes. Additionally, the study examines the contribution of battery-supercapacitor energy for city and highway driving cycles in order to determine the appropriate sizing for both components with regenerative braking systems. Energy recovery is analysed for various driving cycles to evaluate the effectiveness of the proposed strategy and analysing the energy recovery for different driving cycles. The contributions of the paper are as follows: (1.) Implementing a rule-based power management for the battery and supercapacitors. (2.) Proposing a model for utilisation of regenerative braking energy using supercapacitors and battery as the energy storage system. (3.) Analysing the battery-supercapacitor energy man- agement at different driving conditions. The paper is organised as follows, Section 2 con- sists of mathematical modelling of system components: battery, supercapacitor, vehicle body, and DC/DC converter. Section 3 discuses the power-train com- ponents, necessities and challenges faced in HESS vehicles. Section 4 discusses a detailed introduction of EMS and the implementation of rule-based Energy Management strategy in a HESS. Section 5 discusses the Simulation and Analysis of the proposed Hybrid Energy Storage System. Section 6 discusses the results obtained from the proposed rule-based energy man- agement strategy. At the end all simulation results data are presented in a comparative form in a table to evaluate the performance of each case and for different driving cycles. 2. Modelling of system components 2.1. Electric vehicle model It is crucial to comprehend the dynamics of electric vehicles (EVs), in order to optimize their performance and improve their efficiency. This study introduces a fundamental model that captures the primary forces 372 vol. 65 no. 4/2025 Energy management for electric vehicles with battery and supercapacitor affecting an electric vehicle and establishes their con- nection with the power demand required for propul- sion. The model incorporates various factors, includ- ing rolling resistance, aerodynamic drag, vehicle mass, incline angle, and powertrain efficiencies. The dynam- ics of the vehicle are shown in Figure 1. The fundamental model that describes the dynamics of an electric vehicle is presented as: rV cos β + 0.5CdAρV 3 + mVx dv dt + mgV sin β = Pdemand ηtηm. (1) The variables used in the model include the mass of the vehicle (m), gravitational acceleration (g), the rolling resistance coefficient (r), the velocity of the vehicle (V ), the incline angle of the road (β), the aerodynamic drag coefficient Cd, the front area of the vehicle (A), the density of the medium (ρ), the transmission efficiency (ηt), and the efficiency of the electric motor (ηm). mV = Fx − Fd − mg · sin β, (2) Fx = n (Fxf + Fxr) , (3) Fd = 1 2CdρA (V + Vw)2 · sgn (V + Vw) , (4) Fzf = −h (Fd + mg sin β + mV ) + b · mg cos β n(a + b) . (5) The normal force acting on the front and the rear tyre are calculated by zero normal acceleration and zero normal pitch torque: Fzr = +h (Fd + mg sin β + mV ) + a · mg cos β n(a + b) , (6) Fzf + Fzr = mg cos β n , (7) where a and b are the distance between the front and rear axles, h is the height of the vehicle, n is the number of wheels on the n axle, Vw is the wind speed, Fd is the aerodynamic drag force, Fxf and Fxr are longitudinal forces on the front and rear tire, Fzf and Fzr are normal load forces on the front and rear tire. 2.2. Battery model In an energy storage system, battery modelling is very important to study the behaviour of the system by considering all parameters, which affect the overall battery performance. For an electric vehicle, a lithium- ion battery is modelled in a MATLAB Simulink en- vironment. For modelling the lithium-ion battery in MATLAB battery specific ratings are required and they are given in the simulation section. The battery model is designed using various control system blocks to simulate an actual battery performance, and it is based on fundamental mathematical equations which are discussed below. Figure 2 shows the circuit of the battery block model in MATLAB [25]. Figure 1. Vehicle body dynamics. The output voltage of the battery is given by the equation: Vbat = Ebat − Riibat, (8) where Vbat denotes the battery’s output voltage, Ebat denotes its open-circuit voltage, Ri denotes its internal resistance of the battery, and ibat denotes the battery current. The charging and discharging voltage of the battery is represented by dynamic mathematical Equations (9) and (10): Ebatdis = E0 − K Q Q − q id − K Q Q − q q + M exp(−N ∗ q), (9) Ebatch = E0 − K Q q + 0.1Q id − K Q Q − q q + M exp(−N ∗ q), (10) where Q represents the maximum battery capacity, E0 represents the constant voltage, id represents the altered current from the low pass filter to the battery current, K serves as the polarisation constant, M exp represents the exponential voltage, q represents the extracted capacity, and N represents the exponen- tial capacity. The SOC of the battery is given by Equation (11): SOC = 100 ( 1 − ∫ t 0 ibat dt Q ) . (11) 2.3. Supercapacitor model Supercapacitors are widely used in various applica- tions where a fast and dynamic response is required in a short time period. When modelling a super- capacitor, all characteristics must be accounted for. In hybrid energy storage, a supercapacitors are used mainly for providing peak power for a short duration and storing regenerative braking energy effectively without degrading the life of the supercapacitor and helping the battery to maintain its SOC. Compared to batteries, the relations between the terminal volt- age and the remaining capacity of supercapacitors is more linear. Therefore, the SOC of a supercapacitor is used to indicate its remaining capacity, which can be calculated using the expression provided in [18]. The supercapacitor model circuit is shown in Figure 3. 373 A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica Figure 2. The equivalent circuit of the battery block model in MATLAB [25]. Figure 3. Supercapacitor model circuit in MATLAB platform. The supercapacitor output voltage is expressed in mathematical form by a Stern equation: Vsc = NsQT d NpNeεε0Ai + 2NeNsRT F · sinh−1 ( QT NpN2 e Ai √ 8RTεε0c ) − Rsc · isc, (12) where Vsc is the output voltage of the SC, Np repre- sents the number of parallel capacitors, Ns represents the number of series capacitors, Ne represents the number of layers of electrodes in the SC, QT repre- sents the electric charge (C), d is the molecular radius, R is the ideal gas constant, T is the operating tem- perature, q represents the extracted capacity, Ai is the interface area between the electrodes and elec- trolyte in (m2), F is faraday constant, and ε, ε0 are the permittivity of material and free space. With: QT = ∫ iscdt, (13) the self-discharge of a supercapacitor is represented by the electric charge of a supercapacitor is modified as follows (isc = 0): QT = ∫ iselfdisdt, (14) iselfdis =  CT α1 1 + sRSCCT , if t − tOC ≤ t3 CT α2 1 + sRSCCT , if t3 < t − tOC ≤ t4 CT α3 1 + sRSCCT , if t − tOC > t4 (15) where isc is the current of the supercapacitor, CT is the total capacitance, RSC is the internal resistance of the supercapacitor, and α1, α2 and α3 show the constraints and the rate of change of supercapacitor voltage during the time intervals (tOC ; t3), (t3; t4) and (t4; t5), respectively. The SOC of a supercapacitor is used to indicate its remaining capacity, which can be calculated using the expression provided in [16]: SOCSC = Vter − Vmin Vmax − Vmin , (16) where the variable Vter refers to the terminal voltage of the SC, while Vmin and Vmax denote the minimum and maximum cutoff voltages of the supercapacitor, respectively. 2.4. Converter model Figure 4 shows the circuit diagram for the fully active HESS that is being used. It is composed of a battery, supercapacitor, and a motor load, along with two standard bi-directional DC/DC converters. The load, which includes the motor has a predictable power de- mand, represented as a varying current im. The model only takes into account the inner series resistance of the battery and supercapacitor models, Rbat and Rsc, respectively, to simplify it. During the charge and 374 vol. 65 no. 4/2025 Energy management for electric vehicles with battery and supercapacitor Figure 4. Circuit diagram of fully active HESS. discharge operations, there are two DC/DC convert- ers used as current controllers for both the battery and the supercapacitor. The bi-directional DC/DC converter comprises two IGBTs, a capacitor, and an inductor with its series resistance considered. The two IGBTs operate synchronously, with S1 and S2 op- erating in opposite phases, and the same applies to S3 and S4. The duty cycle of the IGBT is represented as D1, with the on-resistance of switch S1 represented as Ron1. Additionally, Vbat and Vsc represent the open- circuit voltages of the battery and the supercapacitor, respectively. The HESS circuit diagram, shown in Figure 4, in- cludes a battery pack, an SC pack, and two bidi- rectional DC/DC converters consisting of resistors, inductors, and capacitors. To connect the battery pack to the DC bus, an IGBT is used. Another bidi- rectional DC/DC converter, consisting of two IGBTs (S1 and S4), a capacitor (C0), and an inductor (L2) is used to link the SC pack to the DC bus. The model of the DC/DC converter incorporates the inductor series resistance, the equivalent IGBT resistance, and the IGBT freewheel diode. The motor load current is represented as Im. The HESS’s average model over a single switching period can be defined as follows: V1 = − V1 RbatC1 − i1 C1 + Vbat RbatC1 , (17) V2 = − V2 RSCC2 − i2 C2 + ESC RSCC2 , (18) i1 = V1 L1 − i1 RL1 + Ron2 L1 − V0 L1 + D1i1 Ron2 − Ron1 L1 + V0 D1 L1 , (19) i2 = V2 L2 − i2 RL2 + Ron4 L2 − V0 L2 + D3i2 Ron4 − Ron3 L2 + V0 D3 L2 , (20) V0 = i1 + i2 C0 − im C0 − D1 i1 C0 − D3 i2 C0 . (21) Capacitor voltages V0, V1, and V2, along with in- ductor currents i1, and i2, are used to represent the typical HESS model through a single switching cy- cle. Since the SC has a large capacitance, its voltage change within a switching period is disregarded. Us- ing the aforementioned average model, a 5th order state-space model for the HESS can be derived, which has been previously confirmed in [5]. 3. Hybrid energy storage system 3.1. HESS powertrain The HESS powertrain consists of various components that involve different energy sources with different characteristics, such as electronic converters and me- chanical coupling from the motor to the vehicle drive shaft. The energy storage systems have different but complementary characteristics to each other. Two power electronic converters, which convert DC/DC operation and link the motor and the energy storage system, control part of an electric vehicle, which con- trol and transfer energy based on the requirement of the vehicle. The battery and supercapacitor are con- nected to a motor via a DC/DC converter as shown in Figure 5, which uses a fully active hybrid topology that uses two independent converters. This type of topology was chosen because it actively controls the output current of the battery and the supercapacitor, which helps to maintain a stable DC link voltage at the input motor terminals. The motor is connected to tyres through a mechanical coupling to transfer the rotational mechanical power. The whole fully active topology is controlled by a main controller, which collects data from powertrain components and instructs them to perform specific control actions based on an energy management algo- rithm. This design was chosen for the HESS because 375 A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica Figure 5. Architecture of electric vehicle powertrain. it allows for more flexible and efficient regulation of the battery and supercapacitor independently [26]. This configuration of power electronic converters en- sures a high system performance and efficiency due to the stable voltage across the DC link, with low cell balancing issues with the battery and SC packs. The topology is widely adopted in smart grid sys- tems, where two or more energy storage devices are integrated for more efficient operation due to its inde- pendent control of each source. 3.2. Necessity of HESS The Li-Ion battery cannot handle rapid changes in power demands during acceleration or regenerative braking due to its dependency on reduction and oxi- dation reactions for charge transfer [5]. These sudden power demands put excessive stress on the battery and as a result, reduce the lifespan of the battery. These actions result in degradation at the cell level, as a result of increased internal resistance and capacity loss over time [9]. However, flywheel (FW) or super- capacitor (SC) technologies have the power density needed to sustain high power outputs for short time period [27]. The Li-Ion battery is the primary en- ergy storage component in electric vehicles due to its high energy density. When it comes to automotive applications, particularly during extreme braking and traction driving situations, the battery shows several weaknesses related to its chemical reactions during charging and discharging operations [28]. These re- actions result in capacity degradation and reduced lifespan, and in extreme cases, fire can also happens and damage the whole vehicle and endanger human life [22]. Due to the fast degradation of the battery, the whole battery pack needs to be replaced, which is very costly. Additionally, the battery is struggling to meet the power requirements specified by the traction and braking control systems during these various intense driving operations [29]. To tackle these challenges and minimise the stress on the battery, it is necessary to Figure 6. Energy vs power density. add another energy storage device, which supports the battery [30]. This secondary storage system should have the ability to deliver the required power for in- tense driving scenarios, replacing the battery during periods of high power demand. The secondary energy system has a high dynamic response without affecting its life cycle [16]. The supercapacitor is a promising solution for secondary energy storage elements, be- cause it shows high power density as compared to battery and fuel cell energy storage devices, Figure 6 shows the energy and power characteristics of different energy storage devices [31]. High-power energy storage devices have a high re- sponse rate and high-energy devices have a slow re- sponse rate. This integration proves highly suitable for electric vehicle applications, mostly due to its exponential power density with energy density capa- bilities. Combining a battery with a supercapacitor offers many advantages, which include high dynamic response, providing peak power during high accel- eration and starting operation, storing regenerative braking energy effectively without shortening the life of the supercapacitor, fast charging, and improving the storage system life of the vehicle [32]. 376 vol. 65 no. 4/2025 Energy management for electric vehicles with battery and supercapacitor There are different topologies by which the bat- tery and supercapacitor are connected to the DC bus, which include the parallel, semi-active, and fully ac- tive combinations. The topology is selected based on operational modes and the size of primary and secondary energy storage devices. The supercapacitor allows for smooth energy transfer within the system, which also helps to preserve the vehicle’s dynamic load profile and extend the possible driving range. Therefore, in electric vehicles, the use of a battery and supercapacitor together provides an effective method of long-term energy management and dynamic power regulation. 3.3. Challenges in HESS 3.3.1. System design and sizing When a battery and a supercapacitor are combined, it makes the system complex and challenging to con- trol due to the differences in unpredictable driving patterns. Combining high power and high energy density devices together requires maintaining the DC bus voltage without putting stress on the power con- verter while shifting between different modes. Another challenge while designing the system is the proper siz- ing and optimisation of both energy sources with the power and energy density requirement of an EV, for which no standard practices are available. If the size of the battery and supercapacitor pack is not optimal. Without taking specific requirements into account, choosing a large capacitor increases costs and small SC packs fail to provide peak power, putting a strain on the battery and adding weight and space to the EV. On the other hand, choosing a small battery causes faster degradation and reduction of battery life, and the vehicle dynamic response will be significantly af- fected. 3.3.2. Topology and converter design challenges Designing a power electronic converter for these HESS applications is very challenging due to the rapidly changing driving patterns, peak-power and regenera- tive braking demands, and high current flows through converter switches. In addition, they need to be very robust with fast response for safe operation [33]. While designing these hybrid complex systems, the main challenge is to design the system as complex as pos- sible without compromising the vehicle performance. There are different converter topologies available to connect the battery, SC, converter, and the motor together. If we select a single converter topology, it comes with more complex control. On the other hand, if we choose a converter topology for easy control, then it increases system cost, space, and weight. So choosing the right topology is very critical. The power converter faces issues such as switching losses, PWM control, device durability, and its overall reliability to ensure safe operation [34]. The batteries need converters designed for stable, high-energy transfer, supercapacitors demand fast- response, high-power converters capable of handling rapid charge and discharge cycles. Integrating sepa- rate converters for the battery and the supercapacitor increases cost and operational complexity, but differ- ent vehicle modes of operation need to run the system for the rated power, while maintaining efficiency, sta- ble operation, and proper cooling of these components. While adding regenerative braking, the bidirectional DC/DC converter rating is very important, because during this mode, the converter handles high peak currents to charge the supercapacitor while maintain- ing a safe DC voltage to ensure stable operation [33]. The converter switch must be selected appropriately for sustaining high peak current and fast switching without affecting the converter’s performance and sys- tem stability. These challenges can be overcome by optimal design and rating selection synchronised with the energy management system. 3.3.3. Control strategy and energy management challenge The main challenge of EMS is real-time, precise deci- sion making to calculate how much power should be drawn from the battery and how much from the super- capacitor, the key challenge is to control the EMS for various based objectives effectively and without fail- ure. This requires developing and tuning a controller algorithm based on logic that handles real time driv- ing situations and SOC limitations of storage devices. Real-time, accurate estimation is challenging due to temperature, current transients, and aging effects of energy storage and another power components [35]. To make optimal energy allocation decisions, future power demand must be accurately predicted, so it’s challenging to develop and integrate into actual hard- ware for implementing predictive algorithms that learn or adapt to driving behavior and unexpected changes. In some cases, a primary power source fails to supply power for all components of the system, mainly for the control unit of the vehicle. In this case, a backup power source must be present to supply power in differ- ent load demand conditions. Continuous monitoring of all parameters and processing of data is very impor- tant to make decisions on power shifting in different driving scenarios while maintaining a safe operating state. The control and coordination of all compo- nents in real time is essential for a hybrid system control [36]. 3.3.4. Thermal management The continuous discharging and charging of the HESS based on vehicle acceleration and deceleration and regenerative braking modes, causes high bidirectional peak currents to flow through the system, which causes losses in the form of heat from the battery, SC, con- verters and motor. As the HESS is complex due to the integration of various components, which results 377 A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica in more heat generated from different units, it is es- sential to dissipate heat at the fastest rate possible to maintain system temperature in a safe range. For heat dissipation, energy management systems requires auxiliary electrical power, which is drawn from HESS, and therefore impacts the vehicle range. To address this, energy storage devices and converters need to be designed and located in EVs in such a way that they naturally dissipate heat at a faster rate without affecting the performance. Therefore, the thermal management is challenging to implement, so is to maintain a safe range with the available space, low cost, and higher efficiency. The challenge is to design and integrate a thermal management system for all equipment to maintain safe thermal regulation within a limited space, without affecting the performance. 3.3.5. Protection and fault tolerance The battery and SC both have their safe operational range that depends on their rated design and cell integration. In order for a protection system to be capable of protecting in uncertain conditions, safe operating parameters are needed. When a fault hap- pens in one of the batteries, supercapacitor, or its independent converter, it should not compromise the vehicle’s operation. So it is a challenge for designers to design a fault-tolerant system that is very robust for fault detection and isolation mechanisms to bypass the faulty system and not hinder vehicle operation. 3.3.6. Cost and space requirement A hybrid energy storage system combines two en- ergy storage devices, DC/DC converters, controllers, sensors, and an auxiliary power supply unit, which increases the cost of the system. For a hybrid system, which has multiple components, it is very important to consider the limited space available when designing the placement of the components. Manufacturing this hybrid storage system for an EV at a low price is very challenging. Regardless of the placement of the components, such as additional SC packs, DC/DC converters, superca- pacitors and their energy management system (EMS), control units increase the initial cost and space require- ments, however, these are countered by a number of significant benefits. The supercapacitor supplies high current transients and absorbs regenerative braking energy efficiently, by reducing peak power spikes on the battery. The rule-based power splitting energy management results in an extended battery life cycle and extend battery replacement time, which leads to reduced maintenance and operational costs. In future work, we plan to conduct a full economic cost- benefit analysis to determine the cost-benefit of the system with the battery alone and the HESS electric vehicle [37]. As the system is more complex due to the multiple components, the complementary characteristics of the battery and supercapacitator, they share workload, which in turn reduces the stress on individual com- ponents and increases their lifespan. The modular design of supercapacitor and battery modules with converters and other components makes repairs and replacements easier. Although the initial cost is high due to the extra energy storage elements and its sys- tems and control hardware, the long-term benefits are the longer battery replacement period, which carries a huge percentage of the vehicle maintenance costs, and also due to the energy recovery from regenerative braking, its operational cost are also reduced. There- fore, the initial high cost is compensated by long-term user benefits. 3.3.7. Packaging We plan a modular system architecture for the battery and SC modules, in which energy storage units and power converters are fit into a single compact unit. This modification provides easier integration into the current EV architecture makes it easier to integrate the system into an EV and it also reduces the need for long wiring harness, significantly reducing space requirements and costs [38]. The prototype unit, with all components combined, was placed directly on the chassis without modifying the vehicle. For minimis- ing space and cost, we suggest a DC/DC semi-active hybrid converter configuration that uses only one con- verter with advanced control. Implementing a hybrid topology to integrate a battery and supercapacitor in to the motor reduces overall space requirement, con- stant weight, and additional connections and wiring. We can optimise space and cost at the same time by using a less complex system. However, the exact sys- tem and configuration depend on the specific vehicle and its applications. Based on the vehicle space availability, components such as SC modules can be placed areas that are less sensitive to space, such as near the wheels or on top of the vehicle in electric buses. This balances weight distribution and makes efficient use of available space. However, there are some trade-offs when modifying a standard EV in this way. The integration of SC and its supporting electronic systems adds some weight to the vehicle. However, the added weight is offset by increased regenerative braking, reduced strain on the battery bank, and increased range. This allows the size of the battery pack to be reduced. Introducing these components may lead to a smaller vehicle interior space and reducing the vehicle’s usable boot space. However, these effects are minimised in most cases and can be mitigated through proper optimal design planning with the help of an EV design expert. 4. Energy management in HESS The EMS in a hybrid energy storage system is re- sponsible for controlling and optimising the energy flow between two or more energy storage devices and the electric motor, maximising the efficiency and per- formance of the EV. Energy management systems 378 vol. 65 no. 4/2025 Energy management for electric vehicles with battery and supercapacitor Figure 7. Block diagram of standard EMS. extend the range of electric vehicles by using different control strategies, which ensure an optimal operation of vehicles. The need for EMS stems from the integration of different types of energy storages used in electric ve- hicles for different operating modes, such as average power mode, peak power mode, regenerative braking mode, and charging of one source from another. To ef- fectively transfer and manage the flow of energy from two sources, EMSs require real-time data from the elements in the hybrid energy storage system. The EMS consists of different elements, a fundamental block diagram is shown in Figure 7, which consists of the electronic control unit (ECU), Driver commands that act as input signals, and its output controls the DC/DC converters. System parameters consist of bat- tery and supercapacitor voltage, SOC, current that is supplied to the main electronic control unit where all the data are processed and the appropriate control strategies are calculated. Effective energy capture during regenerative braking of different intensities is ensured by EMS, which controls the converter power using buck and boost modes. The effectiveness of an energy management strat- egy depends on the various strategies and algorithms designed using control techniques and vehicle driving scenarios. EMS actively analyses the data from sen- sor inputs and works to extend the driving range by developing effective control algorithms, in addition to collecting and recording the data during vehicle operation. The choice of EMS depends on several factors, including the driver’s inputs, the distance of the travel, the speed of the electric motor/generator, and the battery state of charge (SOC) [39]. It is dif- ficult to control the power distribution without the access to these data and information. The EMS in HESS tries to satisfy power demands, maintain battery voltage and charge, improve overall system efficiency, and extend the battery life [40]. The strategies used for EMS are classified as rule-based strategies and optimization-based strategies, which depend on var- ious battery, supercapacitor, fuel cell, and flywheel combinations. Rule-based strategies are structured methods designed to operate vehicles in different driv- ing modes, based on various input data generated by the system. The control strategies used for EMS are divided into two types, which are rule-based strategies, and optimisation-based strategies. Rule-based strate- gies are control techniques designed to control electric vehicles using mathematical and logical approaches. These rule-based strategies use various approaches as per the need of control requirements, which in- clude deterministic rule-based, frequency-based, fuzzy logic-based, and neural network based strategies [41]. The optimisation strategy predicts the optimal val- ues based on comparing different modules and pro- cesses. Optimization strategies are used to determine set points and correct and minimise feedback errors. Prediction accuracy and control optimisation are es- sential to effective energy management [42]. To per- form a complex task and calculations, a large data storage and a processing system is required for an effective optimisation-based approach in EMS. These optimisation strategies are further divided into vari- ous types based on different standard equations and principles, which include dynamic programming, in- stantaneous optimisation, and Pontryagin’s princi- ple [43]. These different strategies are based on differ- ent problem-solving approaches and behaviour of con- trol algorithms, including numerical analytical models. Machine learning techniques are implemented for EMS to effectively utilise the energy split in different sce- narios and extend the range of EVs, by capturing maximum energy by controlling all necessary opera- tions mainly controlling of DC/DC power converters efficiently and without any control malfunctions in real time [41]. An effective EMS should be stable against noise, uncertainty, inaccuracies, and disruptions. Low computing complexity, real-time controllability, accu- racy, and global optimization. When an EMS satisfies these requirements, it can manage energy resources efficiently, guarantee system stability, and maximise energy use, resulting in more effective and sustainable energy management strategies [44]. 4.1. Implementation of energy management strategy An energy management strategy for the hybrid storage system comprises several steps. Initially, the algorithm checks whether the vehicle’s power demand is above 379 A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica Figure 8. Energy management system flowchart. zero, and if yes, the system initiate driving. Next, the algorithm verifies whether the power demand exceeds the maximum power level, and in such a case, the system draws power from the supercapacitor pack. On the other hand, if the power demand is below the maximum power level, the algorithm draws the power from the battery pack. During braking, the power demand becomes negative, and the system employs regenerative braking to convert the vehicle’s kinetic energy into electrical energy. This energy is then stored in the supercapacitor pack for future use to power the vehicle or supplement the battery pack. Overall, the energy management algorithm provides constant access to the required power and improves the system’s efficiency. The flowchart is shown in Figure 8 [45]. Where Pd is the vehicle’s power demand and Pmax is the maximum power limit of the battery. The vehicle operates in the following 5 different modes: • Mode 0: In this mode, if the battery SOC is less than 10 % then the vehicle goes to shutdown mode. • Mode 1: When the power demand exceeds the max- imum demand power (Pmax) limit, the superca- pacitor pack is employed in the peak power mode when its SOC is more than 10 %. The supercapaci- tor pack provides bursts of high power required for rapid acceleration or climbing steep inclines. Its high power density and fast charging/discharging capabilities allow it to supplement the battery pack during high-power demands. • Mode 2: When SC SOC is less than 10 %, the battery provides the vehicle with power in the event of sudden-high power demands. • Mode 3: In the average power mode, the EV draws power from the battery pack during normal driv- ing conditions when the power demand is below the maximum power demand (Pmax) limit. This mode ensures continuous operation while keeping the power consumption within the rated limits of the battery pack. • Mode 4: During deceleration or braking, the EV operates in the regenerative braking mode. In this mode, the electric motor acts as a generator, con- verting the kinetic energy of the vehicle into electri- cal energy. In this mode, the first priority is given to the SC. This is achieved by checking whether the SOC of the SC is less than 100 % and if so, the SC is then charged. The regenerative braking mode is ac- tivated when the power demand becomes negative, indicating the potential for energy recovery. • Mode 5: If the SC SOC is 100 %, then the system diverts the power to the battery and checks the SOC of the battery. If it is less than 90 %, then regenerative braking energy is charges the battery. If the battery SOC percentage is more than 90 %, then battery charging is disabled, and the algorithm activates the mechanical brake. Mechanical braking is necessary when the power demand exceeds the capabilities of the regenerative braking system or in cases where immediate maximum braking force is needed for safety reasons. These different operational modes of electric vehi- cles contribute to efficient power management, im- proved energy utilisation, and enhance the overall performance. The utilisation of battery and super- capacitor packs in various modes optimises power 380 vol. 65 no. 4/2025 Energy management for electric vehicles with battery and supercapacitor Figure 9. Block diagram of proposed controller. distribution, ensuring smooth operation, and max- imising the potential of regenerative energy recovery. In the initial phase of the research, the power demand of the vehicle under various driving conditions was extracted from the vehicle’s system. This includes parameters such as power demand (Pd), current de- mand (Id), and voltage demand (Vd), as illustrated in Figure 9. The real time data consists of power demand, bus voltage, motor current, and SOC and they are fed to the EMS where the based on rule rule- based algorithm allocates power to the battery and supercapacitor. The EMS divides the power demand into average power and peak power demand, as shown in the flowchart in Figure 8 [20]. Next, the individ- ual power demands are processed together with the battery voltage to determine the current flow in the battery and supercapacitor during different vehicle operations. This process generates two current signals, namely Ibat and Isc. These Ibat and Isc are compared with the actual battery and supercapacitor currents, which generates current error signals. These signals are then fed into a PI controller, where signals are con- verted into appropriate duty cycles. After that, the PI controller output duty cycle is given to the PWM block to generate appropriate PWM switching signals to control the battery and supercapacitor converter depending upon the various operating modes. Specifi- cally, S1 and S2 represent the IGBT switches of the battery-side DC/DC converter. These switches are controlled by PWM signals to discharge the battery during the average power demand. On the other hand, S3 and S4 correspond to the IGBT switches of the supercapacitor side DC/DC converter, which operates during the discharging mode during peak acceleration conditions. The controller design is described in de- tail in [22]. When regenerative braking is applied, the DC/DC converter switches to the charging mode to charge the supercapacitor depending on the regenera- tive power. The values of PI of the battery and SC controllers are P = 0.13 and I = 65 respectively, the control loop bandwidth is 10 kHz, and the sampling time is 5 × 10−6 sec. 4.2. Control and maintenance To manage the increased system complexity of HESS for real-time maintenance and control, we developed a comprehensive strategy focused on real-time control efficiency and fast maintenance. The rule-based en- ergy management gives a two-layer hierarchical control system approach designed to deliver fast and optimal energy management without depending on computa- tionally intensive optimisation algorithms. The first layer sends hardware-triggered logic signals, which are based on the reference current, SOC of battery, and supercapacitor threshold in less than 10 millisec- onds intervals. As a response, it makes immediate controlled switching decisions, which are very impor- tant to maintain HESS responsiveness during sudden and dynamic load changes, and regenerative braking. Following the primary layer, a second control layer runs at less than 15 Hz control thresholds based on the feedback signal from the BMS of the battery and supercapacitor modules health indicators, as well as driving scenarios [36]. This layered hierarchy structure ensures a fast response to any sudden acceleration, de- celeration, and braking during real-time driving events while keeping the system functional with computation simplicity [46]. Maintenance is very important for such complex systems to ensure all subsystem components work properly without failing and affecting their perfor- mance. If one of the system failures happens, it may cause the whole system to stop working. For that, modular control and hardware architecture handle system complexity and enhance maintainability. In modular architecture energy management, speed con- trol, and current control modules are designed as independent but synchronised and coordinated mod- ules. This approach makes for easy implementation, troubleshooting and future scalability. For hardware ease of maintenance and to ensure minimal downtime modular design of battery, supercapacitor should be adopted, which is easy in case of faulty equipment replacement without opening the complete system. Real-time parameter data monitoring plays a very im- 381 A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica portant role in the maintenance of such complex sys- tems. HESS diagnostic algorithm continuously takes battery and SC current, voltage, SOC and equivalent series resistance (ESR). This real-time data moni- toring and its computation through fault detection algorithms give preventive fault indications and locate faults in complex systems. 4.3. Real time optimization The proposed EMS has been designed with real-time application in mind depending on various external factors. To validate the working performance of this EMS under realistic operating driving scenarios, we conducted tests using a real-time standard driving cycle simulation that mimics actual vehicle dynam- ics under different load conditions. This simulation environment allows for emulating a designed vehicle model in MATLAB with acceleration, deceleration, and other driving conditions. The energy manage- ment strategy periodically collects input data that is generated by various components, such as SOC, power demand from the motors, the DC bus voltage, and regenerative braking energy. Based on these real time data, the EMS rule-based algorithm allocate the high and low frequency power demand between the supercapacitor and the battery from which the PWM switching signal is generated through the PI controller with different loops are responsible for controlling the voltage and individual currents for the battery and supercapacitor modules [47]. During regenerative braking, this command signal is sent to the controller, which gives priority to the SC to recharge through the bidirectional converter. During this continuous operation, the EMS includes safety and fault-handling logic to limit overcharging and over-discharging of the energy storage sources. The decision-making capabil- ity that maintains the energy flow within the a safe operating range of the battery, SC, and converters, while ensuring optimal energy utilisation. The real- time performance of the proposed energy management strategy was tested in real-time simulation for stan- dard drive cycles. This demonstrates the optimisation and effectiveness of the proposed real-time control approach under dynamic driving patterns [48]. 4.4. Risk mitigation in dynamic and unpredictable driving environments When proposed EMS is integrated with a hybrid en- ergy storage system in a real world application, it can face some difficulties during unpredictable driving. The main risk is the delayed response of the EMS to sudden changes from the controller to the hard- ware components. Frequent fast changes of driving modes, such as high peak power demand to sudden emergency braking can limit the system’s ability to respond and control the energy distribution properly without affecting its performance. Wrong predictions from the EMS or sudden dynamic changes can cause poor energy utilisation, which affects and reduces the performance and operational efficiency of the hybrid energy storage system. Without proper system design and advanced control, continuous peak power and dy- namic demand on unpredictable road conditions cause stress to all components, resulting in a reduction in their operational lifespan. To avoid these risks preven- tive steps need to be taken for the safety of the whole integrated system. These include a continuous real- time computation of all parameters with defined safe limits that need to be implemented, which allows the system to respond to any sudden abnormal behaviour and take necessary action based on an adaptive fault mitigating algorithm [49]. To prevent possible incidents, the control algorithm and its hardware communication protocol time re- sponse must be optimised for any risks that can be introduced into the system. Predictive maintenance involves collecting operational data. The system is expected to detect equipment stress and issue main- tenance alerts before a major issue occurs [37]. It is crucial to test these potential risks at a hardware test bench level, with all integrated components un- dergoing various load cycles. Extensive robustness operation tests must also be performed under addi- tional environmental physical conditions to mitigate these risks and validate the functional response of the designed HESS with control strategy in the real world. 5. Simulation and analysis of the proposed hybrid energy storage system When designing a model of an electric vehicle using MATLAB Simulink, it is crucial to consider various pa- rameters that impact the vehicle’s performance. Both electrical and mechanical parameters must be taken into account to accurately simulate the system. Cre- ating a validated working prototype model requires a comprehensive understanding of the necessary ele- ments and block parameters involved in the simulation process. Modeling of an electric vehicle poses addi- tional challenges as it necessitates the consideration of physical parameters specific to the vehicle. Moreover, predefined system specifications must be incorporated into the model to meet the desired requirements and objectives. This ensures that the resulting model ac- curately represents the behaviour and performance of the electric vehicle in the simulation environment. The Electric Vehicle was simulated using MATLAB Simulink, using specifications of the TATA Nexon Electric Vehicle used to represent the vehicle body and tires. The schematic block diagram of the MAT- LAB Simulink model is shown in Figure 10. The bat- tery current demand for different driving scenarios are recorded by running the model. The model also investigates how the use of a Hybrid Electric Vehicle (HEV) or a pure EV affects the battery current de- mand. To supply the necessary power from the energy storage system, a DC/DC buck-boost chopper is used. 382 vol. 65 no. 4/2025 Energy management for electric vehicles with battery and supercapacitor Figure 10. Block diagram of the HESS used for MATLAB simulations. The output voltage of the chopper is controlled using a PWM control technique, and a PI controller is used to regulate the vehicle speed [24]. To validate the efficiency and durability of the sug- gested controller, a simulation is conducted using MATLAB Simulink models, as can be seen in Fig- ure 10. The key parameters of the HESS model, specified in Tables 1–4 are determined through mea- surements of the HESS components. Consequently, the simulation accurately represents the actual sys- tem. The load is simulated using a controlled current source with different current values depending the load demand Pd of electric vehicles in different driving conditions for acceleration and braking modes [12]. The aim of the rule-based controller is to create con- tinuous control strategies that ensure robust tracking of the Ib(battery) and Isc(supercapacitor) currents. On the other hand, the objective of the rule-based controller is to maintain the bus voltage at the desired level under varying load conditions. First, the DC bus voltage reference was initially established at 125 V, taking into account the configuration of the electric vehicle model. The battery and supercapacitor SOC was set to 100 %, while the supercapacitor voltage was set to at 130 V. To test how well the system can han- Parameters Value Units Total mass 1 500 kg Tire radius 0.3 m Front area 2.91 m2 Drag coefficient (Cd) 0.19 – Rolling resistance coefficient (r) 0.022 – Table 1. Vehicle parameters. Parameters Value Units Li-ion battery capacity 20 Ah Battery pack voltage 120 V Battery voltage range 90 to 140 V Internal resistance min 0.06 Ω Battery pack 2.4 kW Table 2. Li-ion battery parameters. Parameters Value Units Pack capacitance 200 F Pack voltage 130 V Internal resistance min 0.20 Ω Table 3. Supercapacitor parameters. 383 A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica Components Value Components Value C0 940 µF Csc 200 F Rbat 0.06 Ω Rsc 0.20 Ω C1 470 µF C2 470 µF L1 1.7 mH L2 1.2 mH RL1 700 mΩ RL2 300 mΩ Table 4. DC/DC converters parameters. Figure 11. SC03 city drive cycle vehicle speed. dle different situations, the load profile used for the validation includes frequent changes and noticeable ups and downs, as shown in Figure 11. When Pdemand is negative, it indicates the regenerative braking con- dition, whereas in traction mode, Pd varies between 500 W and 8 kW for the SC03 driving cycle. A number of simulations are performed based on the proposed rule-based energy management system with a battery-supercapacitor hybrid system, In these simulations, the initial SOC values of battery and the supercapacitor at the start of the driving cycle are set 100 % and 101 %. The proposed hybrid model is tested for city, urban, and highway driving conditions and include chassis dynamometer test cycle (SC03), high acceleration aggressive driving cycle (US06), and Highway Fuel Economy Test (HWFET) cycle. Vehicle body parameters required for modeling are given in Table 1. The simulation parameters used in MATLAB modeling of battery pack are voltage, capacity, and internal resistance and are given in Table 2. The parameters used for modeling supercapacitors in MATLAB are given in Table 3, DC/DC bidirec- tional converter, which are the resistance, inductance, and capacitance values are given in Table 4. The performance of the energy management strat- egy is analysed for different drive cycles, which include city and highway driving cycles. Braking and accelera- tion depend on road conditions, so the power demand and regenerative braking power differ. The proposed energy management strategy is tested for SC03, US06, HWFET, and BCD drive cycles. 6. Simulation results and discussions The proposed energy management strategy is anal- ysed for different driving cycles using the MATLAB simulink platform to evaluate the effectiveness of the proposed strategy and the response of the battery and the supercapacitor in different operating modes of the vehicles. The simulation test is carried out for two different cases: the first one is a pure EV with no regenerative braking implemented, and the second case is an EV with HESS, which consists of a battery and supercapacitor, and implemented regenerative braking. 6.1. SC03 drive cycle results Figure 11 shows the SC03 driving cycle, a 5.8- kilometer test route, with a maximum speed of 88.2 km h−1. The first test case data of the SC03 drive cycle is shown in Figure 12, where only a bat- tery is used to power the vehicle and regenerative braking is not implemented. From the waveform of the motor load current, we can see that the maxi- mum current was 80 A and the average continuous current was around 40 A when the speed is lower than 60 km h−1. As the vehicle suddenly accelerated, the peak power demand was very high, around 8 kW, for a short period of time, when the vehicle accelerated from 0 to 90 km h−1 speed. The SOC of the battery was continuously depleting from 100 % to 86.44 % at the end of the drive cycle. The second test case results of the SC03 drive cy- cle with a hybrid system operating in average power 384 vol. 65 no. 4/2025 Energy management for electric vehicles with battery and supercapacitor Figure 12. Battery SOC, current, and voltage of normal system without regenerative braking for SCO3 drive cycle. Figure 13. Bus voltage, and power of hybrid system for SCO3 drive cycle. mode M1. The battery plays a crucial role in deliv- ering the required average power for a vehicle speed below 60 km h−1. Figure 13 demonstrates how the presence of a supercapacitor reduces the power de- mand on the battery and its charging-discharging cur- rent. Figure 12 shows that without a supercapacitor, the battery experiences numerous significant peaks in its charge and discharge current cycles. Figure 14 shows the battery and supercapacitor currents for different modes and speed of the vehicle. The blue curve should is the battery current Ib in average power mode M3 and the current was below 40 A, the positive red curve shows the SC current in peak power mode M1 and the negative red curve shows the SC charging current in regenerative braking mode M4. During the peak power mode, the current can reach as high as 80 A, while during regenerative braking, the charging currents can go up to negative 45 A. The voltage of the supercapacitor pack starts at 125 V and momentarily decreases to around 100 V. From the waveform of the current, it can be seen that when the speed reaches 25 km h−1, the regeneration stops and the regenerative part shows that the energy is generated during a sudden braking situation, during 385 A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica Figure 14. Battery and supercapacitor currents and vehicle speed of hybrid system for SCO3 drive cycle. Figure 15. Battery, and supercapacitor power of hybrid system for SCO3 drive cycle. which the speed drastically decreases for a short period of time. Figure 13 shows the variations of the bus voltage and bus power for both the battery and supercapaci- tor of the proposed hybrid system. Id represents the current demand and Vbus, exhibits a dynamic oscil- lating range between 140 and 80 V. The bus voltage decreases in specified intervals while the bus current incrementally increases in response to a rapid accel- eration of the vehicle. As a result, as the vehicle slows down during the regenerative braking mode, the bus voltage increases, indicating the activation of the supercapacitor’s charging mode. Figure 15 shows the power demand and regeneration of battery and supercapacitor of the hybrid system during different vehicle scenarios for the SC03 drive cycle. In mode M1 and M4, the supercapacitor plays a crucial role by providing peak power to the vehicle and absorbing regenerative power during regenera- tive braking, this behaviour is a consequence of the supercapacitor’s frequent charging and discharging cycles, which aim to maintain its SOC and prevent continuous depletion. The voltage of the battery at the start is 140 V, and then ranges between 125 and to 135 V. From Figure 16, it is seen that the SOC of the hybrid system battery is decreasing slower than that of the normal system battery because the battery in HESS only supplies power in average power demand mode M3 not in peak power demand. The SOC of the supercapacitor is decreasing in peak power demand mode M1 and increasing in regenerative braking mode M4, and it also increases due to regenerative braking energy recovery. At the end of the drive cycle, SOC of the battery in HESS is 90.59 % and the normal system battery SOC is 86.44 % which shows that less energy is used to drive the vehicle. Figure 17 shows the Energy consumption for test cases, red curve shows the energy consumption from the battery in the case where no regeneration is im- plemented and only the battery supplies the power to the vehicle and the consumed energy is 347.8 W h−1 while the second case, the blue curve, shows the total energy consumption for HESS with regenerative brak- ing, which is 285.15 W h−1. Therefore, 62.65 W h−1, 18.01 % of the total energy, is regenerated during re- generative braking and the SOC of both the battery and the supercapacitor is decreasing at a slower rates as compared to the single-battery EV. 386 vol. 65 no. 4/2025 Energy management for electric vehicles with battery and supercapacitor Figure 16. SOC of battery and supercapacitor of normal and hybrid systems for SCO3 (city) drive cycle. Figure 17. Energy consumption for normal and hybrid systems for SCO3 (city) drive cycle. 6.2. US06 drive cycle results The US06 is a high acceleration aggressive driv- ing cycle. The average speed during the cycle was 77.9 km h−1, and the maximum speed was 129.2 km h−1. In this cycle, the average current drawn during a constant speed from the battery pack is 35 A. In transient situations such as sudden acceleration from a stationary position, the supercapacitor pro- vides a peak current of Isc = 100 A, the charge and discharge currents of the supercapacitor have high peaks for short time instants. During regenerative braking, the current can reach up to −50 A. Figure 18a shows the vehicle speed for the US06 drive cycle with the current demand for batteries and supercapacitors. It can be seen that the proposed EMS supplies peak and average currents according to the current demand at various speeds of the vehicle. From the Figure 18b, it can be seen, that the peak power of 9 kW is required for a short time when the vehicle is accelerating from zero speed in M1 mode. At that instant, the supercapacitor effectively provides the starting peak power and then the battery provides the average power of 3 kW during mode M3. During mode M4 operation, regenerative energy is stored in the supercapacitor, as shown by the negative power displayed in the graph during sudden braking. Most of the regenerative braking energy is stored during sudden braking. Figure 18c shows the SOC of a 20-Ah normal system battery. The starting value is 100 %, and it slowly decreases during to cycle to 82.38 %. While for the HESS system, the SOC of the battery at the end is 86.36 %. 387 A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica (a). Battery and supercapacitor currents and vehicle speed. (b). Battery and supercapacitor power. (c). State of charge (SOC) of battery and supercapacitor. (d). Energy consumption for normal and hybrid systems. Figure 18. Simulation results for US06 (urban) drive cycle. 388 vol. 65 no. 4/2025 Energy management for electric vehicles with battery and supercapacitor Figure 18d shows the energy consumption from the battery and supercapacitor in two test cases, red curve shows the energy consumption from the battery for the first case, in which no regeneration is implemented and only the battery supplies and power to the vehicle and the consumed energy is 447.6 W h−1, while the second case, the blue curve, shows the total energy consumption of HESS with regenerative braking which is 335.21 W h−1. Therefore, 112.39 W h−1, 25.1 % en- ergy is regenerated during regenerative braking and the SOC of both the battery and the supercapacitor is decreasing at a slower rate as compared to the single- battery EV. The battery contributes 80.48 % and the supercapacitor 19.51 %. 6.3. HWFET drive cycle results Figure 19a shows the vehicle speed for the HWFET drive cycle with the current demand on batteries and supercapacitors. In this cycle, the vehicle is drawing an average current of Ib = 25 A. The supercapacitor supplies a peak current when sudden acceleration is required to reach a speed of 95 km h−1 from 40 km h−1, which in this case was a total of 300 sec. In this highway cycle, speed decreases for short instances but there is no sudden braking. Regenerative energy is captured effectively at the end of the drive cycle when braking is applied at a speed of 80 km h−1 and the vehicle comes to a stop. Figure 19b shows the power supplied by the bat- tery and supercapacitor during the HWFET drive cycle and shows the expected outcome of the pro- posed energy management strategy, which is designed based on the rule-based controller by splitting the high and low-frequency components of the battery and the supercapacitor. The highest power supplied by the supercapacitor during M1 mode is 4.5 kW at t = 300 sec. During the highway drive cycle, vehi- cles there are only small power fluctuations and the average power in M3 mode is 4 kW. From Figure 19c it can be seen that during the HWFET drive cycle, the regenerative energy does not have a significant impact, as the SOC of the normal system battery at the end of the cycle is 80.64 % and 81.53 % for the hybrid system battery, which means an improvement of only 1 %. As there are no high power demand fluctuations, the single battery system is sufficient to provide power to the vehicle on a highway. Figure 19d shows the energy consumption from the battery and the supercapacitor, only 2 % of the energy required to run a vehicle is recovered during regenera- tive braking. The total energy consumed by the single battery system is 498.2 W h−1, and the total energy consumed by the hybrid system is 488.45 W h−1. The battery contributes 97.43 % of the energy, while the supercapacitor contributes 2.5 %. These results, obtained from different drive cycles, clearly show that different driving patterns signifi- cantly affect the regenerative braking energy recov- ery performance of electric vehicles, as well as the efficiency, cost, and performance of energy storage devices, and most importantly, the driving range of the vehicle on a single charge of the on-board energy storage system. As shown in Table 5, MATLAB simulation data for the comparison of energy consumption of vehicles for different drive cycles are recorded at the end of each cycle. It can be seen that in the case of the US06 drive cycle with a single battery system, the energy consumption rate was 447.9 W h−1, and in the case of an a supercapacitor, it was 335.21 W h−1, which is a 25.1 % lesser energy consumption. During re- generative braking, 112.39 W h−1 of energy is stored in the supercapacitor and then supplied to the drive unit in peak power demand mode. During the SC03 drive cycle, 62.65 W h−1 of energy is stored in the supercapacitor through regeneration, and a total en- ergy consumption reduction of 18 % is reached for the hybrid storage system proposed in this paper. Table 6 shows the observed SOC data for different MATLAB simulations tested for each drive cycle for the normal and hybrid systems. The SOC of the bat- tery and supercapacitor is recorded at the start and end of each drive cycle for the same energy manage- ment strategy. At the start of each drive cycle, the SOC for both the battery and the supercapacitor is 100 %. As can be seen in Table 6, the SOC of the battery changes differently in normal and hybrid sys- tems. The SOC for the hybrid system is higher than that of the normal system for every drive cycle. This means that the battery of the hybrid system depletes at a slower rate, which in turn means a longer range. In the SC03 drive cycle, the battery supplied 85.56 % of the energy and the supercapacitor supplied 14.43 %. For the US06 drive cycle, the battery supplied 80.48 % and the supercapacitor supplied 19.51 %. For the HWFET drive cycle, the battery supplied 97.43 % and the supercapacitor supplied only 2.5 %. During the highway cycle, the supercapacitor supplied just 2.5 %, showing a very small contribution. The energy shared by the battery and the supercapacitor is shown in the second column in Table 6 which only shows the SOC of the battery. The hybrid system SOC is shown in columns 3 and 4. The energy contributed by the battery and the supercapacitor, i.e. HESS, is shown in columns 5 and 6. For example, in the SC03 drive cycle, the battery contributed 85.56 % of the energy and the supercapacitor contributed 14.43 %. From this individual energy contribution percentage, we can determine the optimal battery and supercapacitor ratings for short drive cycles. 6.4. Result summary The effectiveness of the hybrid system varies depend- ing on the driving cycles. The main objectives of the proposed system are to reduce the peak current of the battery pack using a supercapacitor pack, thereby reducing stress on the battery pack and increasing 389 A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica (a). Battery and supercapacitor currents and vehicle speed. (b). Battery and supercapacitor power. (c). State of charge (SOC) of battery and supercapacitor. (d). Energy consumption for normal and hybrid systems. Figure 19. Simulation results for HWFET (highway) drive cycle. 390 vol. 65 no. 4/2025 Energy management for electric vehicles with battery and supercapacitor Normal HESS Bat HESS SC HESS total Energy Energy Drive cycles system energy energy energy energy saving saving [Watt/Hr] [Watt/Hr] [Watt/Hr] [Watt/Hr] [Watt/Hr] [%] SCO3 (city) 347.8 244 41.15 285.15 62.65 18.0118 US06 (urban) 447.6 269.8 65.41 335.21 112.39 25.1 HWFET(highway) 498.2 475.9 12.55 488.45 9.75 1.95 BCD (city) 980.3 642.4 123.1 765.5 214.8 21 Table 5. Energy consumption table for different driving cycle. Drive cycle Normal HESS SOC [%] HESS SOC [%] HESS energy share [%]system SOC [%] Battery Battery Supercapacitor Battery SC SCO3 86.44 90.59 93.81 85.56 14.43 US06 82.38 86.36 89.58 80.48 19.51 HWFET 80.64 81.53 99.13 97.43 2.5 BCD 61.44 74.98 79.47 83.91 16.08 Table 6. State of charge SOC and energy contribution in hybrid system. its life. Another main objective is to effectively store regenerative braking energy using the fast-charging characteristics of the SC, which overcome the limi- tations of the battery. To implement and validate our energy management strategy, we created a vehicle model which we tested in the MATLAB Simulink envi- ronment using standard system parameters to mimic vehicle dynamics and all integrated HESS components. The model is tested using standard city, urban, and highway drive cycles. The benefits of regenerative braking can be seen in the city drive cycle due to the frequent braking. In real-world scenarios, vehicle driving patterns and road conditions are continuously change, combining city, urban, and highway driving, including uphill and downhill driving in hilly areas. While we generate more energy during the city drive cycle, we also utilise the benefits of the hybrid energy storage system during sudden acceleration and uphill driving on the highway, using the stored regenerative braking energy. Due to the integration of HESS and the energy man- agement strategy, we can achieve an increased driving range, reduced operational costs, an improved battery lifespan, and high dynamic performance. These bene- fits justify the implementation of this system, despite them not being consistent across all driving conditions. In a highway driving cycle, there are fewer braking in- stances, so energy recovery is reduced. To improve the energy recovery on the highway, we can implement alternative strategies and system configurations to enhance energy recovery. Firstly, maximum priority should be given to the SC absorbing regenerative en- ergy instead of using a mechanical friction brake. The highway road conditions are more predictable than urban conditions, therefore, predictive control can be used for highway braking, optimising the energy recovery. Using adaptive cruise control with smooth deceleration for HESS improves regenerative brak- ing, especially in combination with specially designed PMSM machines, which give high output regenerative energy, and a motor that uses double stator winding or a separate generator set. Other ways to improve the efficiency include using mild regenerative brak- ing to maintain speed and avoid sudden braking and using economic mode, which is designed to improve regeneration and reduce power consumption. In order to tailor the system to different user profiles or vehicle applications, we suggest a flexible and adaptive system design that is utilised for different user profiles and vehicle applications. To differentiate between users’ driving cycles, a machine learning based approach for classifying city, highway, uphill, and downhill driving cycle patterns can be used, which automatically learns and optimally adapts the energy flow. This classifica- tion provides an optimal sizing ratio for the battery and SC system. Based on the identified driving pro- files, the EMS can be adjusted to recognise driving patterns and achieve high performance by utilising a hybrid energy storage system. 7. Conclusion This paper proposes an energy management system designed for a hybrid storage system combining bat- teries and supercapacitors, implemented in MATLAB Simulink modelling for various driving cycles. The modelling results show that the implemented rule- based energy management strategy effectively splits the peak and average power, and captures regenerative braking energy in the supercapacitors. Energy Man- agement strategy plays a crucial role in hybrid energy storage systems used in different driving conditions. Regenerative braking energy recovery changes depend- 391 A. S. Bhagat, V. Kalkhambkar, P. P. Gupta, V. Prakash Acta Polytechnica ing on the vehicle driver’s behavior. Integration of supercapacitors reduces the charging-discharging cy- cles of the battery, so the life cycle and degradation rate of the lithium-ion battery reduces and the overall energy storage system works efficiently in long-term operation. SC improve the performance of EVs by overcoming problems faced by single-battery vehicles. As per results obtained from the MATLAB Simulink model, the energy used in the hybrid system is reduced by up to 25 % during a US06 city drive cycle com- pared to normal single-battery system. This is due to continuous acceleration and deceleration driving patterns. 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Journal of Energy Storage 77:109835, 2024. https://doi.org/10.1016/j.est.2023.109835 394 https://doi.org/10.1002/2050-7038.12819 https://jamt.utem.edu.my/jamt/article/view/6528 https://doi.org/10.3390/en18092312 https://doi.org/10.1016/j.est.2022.105045 https://doi.org/10.1002/est2.573 https://doi.org/10.1007/s40430-024-04736-x https://doi.org/10.1016/j.csite.2025.105815 https://doi.org/10.1007/s00202-024-02483-9 https://doi.org/10.1016/j.est.2023.109835 Acta Polytechnica 65(4):371–394, 2025 1 Introduction 2 Modelling of system components 2.1 Electric vehicle model 2.2 Battery model 2.3 Supercapacitor model 2.4 Converter model 3 Hybrid energy storage system 3.1 HESS powertrain 3.2 Necessity of HESS 3.3 Challenges in HESS 3.3.1 System design and sizing 3.3.2 Topology and converter design challenges 3.3.3 Control strategy and energy management challenge 3.3.4 Thermal management 3.3.5 Protection and fault tolerance 3.3.6 Cost and space requirement 3.3.7 Packaging 4 Energy management in HESS 4.1 Implementation of energy management strategy 4.2 Control and maintenance 4.3 Real time optimization 4.4 Risk mitigation in dynamic and unpredictable driving environments 5 Simulation and analysis of the proposed hybrid energy storage system 6 Simulation results and discussions 6.1 SC03 drive cycle results 6.2 US06 drive cycle results 6.3 HWFET drive cycle results 6.4 Result summary 7 Conclusion References