Academic Journal of Science and Technology 
ISSN: 2771-3032 | Vol. 2, No. 2, 2022 

 

65 

Realization	and	Application	of	Stability	Condition	of	
Electromechanical	Transmission	System	
Yuanchang Ma1, * 

1 Department of Mechatronics Technology, Chengdu Textile College, Chengdu, CO 611700, China 
* Corresponding author: Yuanchang Ma (Email: 1348353179@qq.com) 

 

Abstract: In the electromechanical transmission system, the most critical thing is the coordination between the load 
performance of the motor and the mechanical performance of the motor, so as to achieve the stability of the electromechanical 
transmission system, so that the electromechanical equipment can achieve a stable working state. This paper analyzes the 
realization and application of the stability of electromechanical transmission system, in order to provide theoretical basis for the 
development of this field, so that electromechanical transmission system can be applied to a wider range of production fields. 

Keywords: Electromechanical transmission system, Stability condition, Application. 
 

1. Introduction 
In the current production, electromechanical transmission 

system has a wide range of applications, and its stability is 
directly related to the quality and efficiency of mechanical 
engineering. To start from the needs of today's society, to seek 
more stable and reasonable stability of electromechanical 
transmission system. In view of the stability of 
electromechanical transmission system, MCU is selected as 
the automatic control system to control the direction of motor 
speed to effectively realize its stability, in order to improve 
the production efficiency and create higher economic benefits. 

2. Stability Conditions for Linear 
Systems 

Under the influence of the initial disturbance factors of the 
system, the transition process of the linear control system will 
decay and tend to return to zero with the slow progress of the 
operation cycle, and such system state is called 
asymptotically stable. If the system is disturbed by the initial 
disturbance factors, the transition process in the system will 
diverge gradually with the change of real time, then it can be 
judged that the system is unstable. 

2.1. Necessary and Sufficient Conditions for 
System Stability 

The transfer function of the system 

 

𝐺 𝑠             (1) 

 

Characteristic equation of the system: 1+G(s)H(s)=0 

The root of this equation is called the characteristic root of 
the system. 

If all the characteristic roots of a system fall on the left end 
of the [S] plane, it shows that the system plane is complete 
and stable. Otherwise the system is unstable. 

2.2. System Stability Judgment Basis 
The most common way to determine the stability of a 

system is in the form of Rous criterion, Hurwitz criterion and 
Lyaphov criterion, all of which are determined by the 
mathematical model of the system. Among them, the ROTH 
criterion and Hurwitz criterion can judge the stability of the 
system according to the characteristics of the system, 
different from the other two forms, the Lyard spectrum Ruff 
is judged according to the energy change of the system. 

3. Motion Formula and Stability 
Condition of Electromechanical 
Transmission System 

3.1. Motion Formula of Electromechanical 
Transmission System 

The motion formula of electromechanical transmission 
system is as follows: 

  

𝑇 𝑇 𝐽 𝐽              (2) 

 

Where TM represents the output torque of the motor (N.m); 
Where TL stands for load torque (N.m); J denotes the rated 
moment of inertia of rotational load (kg.m2); N indicates the 
running speed (r/min). 

Under these conditions, when TM= TL, the phenomenon 
of the state is called "steady state". 

System dynamic time: TM>Tl, 

 

𝑇 𝐽 0                (3) 

 

That is, 

0                   (4) 

 

Then the transmission system is accelerating the movement; 
When the TM < TL, 

 

𝑇 𝐽 0               (5) 



 

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That is, 

 

0                  (6) 

 

It can be seen that the electromechanical transmission 
system is in the process of deceleration. Therefore, according 
to the dynamic equation of the electromechanical 
transmission system, the output torque of the motor and the 
load torque are compared, which can be used as the speed 
index of the transmission system. 

3.2. The conditions Necessary for the Stability 
of the System 

(1) there must be a cross between the mechanical property 
curves of the motor and the machine tool (that is, the balance 
of the traction system); 

(2) After being disturbed, it should be able to return to the 
original equilibrium state, that is, when the rotational speed 
caused by the interference increases, TM<TL. 

4. The Principle of Motor Control is 
Realized by Single Chip 
Microcomputer 

Single-chip control motor is a way to realize digitalization. 
At present, the full digital control is gradually deputized by 
simulation. Pulse width modulation technology and 
frequency conversion technology are the two main 
technologies used in the current motor. Sensing technology is 
used to realize the stable control of electromechanical 
transmission system. Single chip microcomputer has a great 
influence on the motor, can simplify the control line, achieve 
complex control, with good flexibility and adaptability, and 
no zero drift, network operation, easy to communicate, is 
conducive to fundamentally improve the work efficiency, so 
as to create higher economic benefits.[1] 

4.1. Motor Speed Control Principle Based on 
Single Chip Microcomputer 

The MCU control of the motor gradually from the analog 
control to the MCU microprocessor development, which 
leads to a kind of digital analog control situation; MOSFET 
and IGBT are used as the main power devices to realize the 
application of PWM pulse width modulation and frequency 
conversion technology in DC and AC speed regulation. 

4.2. The Speed of the Motor is Controlled by 
Detecting the Sensor with Single Chip 
Microcomputer 

The closed-loop control of the machine is very demanding 
and precise. For example, the Angle and speed required by the 
motor itself, the angular displacement and linear displacement 
of the execution system in the control system. In order to 
make accurate measurements under strict control, it is 
necessary to have a high-precision detection sensor that can 
feedback the information of the system. Therefore, the 
detection of sensor is very important in the control of motor 
speed on single chip microcomputer. 

5. The key technology of motor speed 
control by single chip 
microcomputer 

With the continuous advancement of science and 
technology and the advent of the digital era, digitization is the 
main direction of the technical reform in our country, and all 
walks of life are innovating technology.[2] The technology 
represented by single chip microcomputer is the main means 
and important form of digital technology. The three parts of 
the motor are respectively control, transmission and feedback, 
which takes the SCM as the core part. At present, motor speed 
regulation technology based on single chip microcomputer is 
the most widely used motor technology. 

5.1. The Speed of the DC Motor is Controlled 
by a Switch Drive 

Most DC motor is to use the switch drive method to make 
the semiconductor power in the switching state, the use of 
PWm pulse width of the semiconductor power to speed. 

5.2. By Controlling the Power Supply 
Frequency to Adjust the Motor Speed 

n=60 f/p (1- S); N is the speed of motor; P is the number of 
magnetic poles of the motor; F is the supply frequency, and S 
is the conversion rate; Therefore, when P and S are fixed, the 
speed control of the AC asynchronous motor can be realized 
by changing the power supply frequency. 

5.3. The Brushless DC Motor is Controlled by 
MCU 

Cygnalc8051 single chip microcomputer is used to control 
the current of armature in PWM format, so as to realize the 
control of Cygnalc8051 single chip microcomputer. 

5.4. Control the Single Chip Microcomputer to 
Adjust the Motor Speed 

The speed of the stepper motor is transformed into angular 
displacement by the sensor, so as to produce angular velocity. 
When a pulse is transmitted to the stepping motor by the 
microcontroller, the motor rotates once, and then sends out a 
pulse signal, it can run again, so the cycle will produce some 
rotation; The shorter the distance between the two pulses, the 
faster the stepper motor. It can be seen that pulse frequency 
has a great influence on the speed of stepper motor. In the 
microcontroller control, a common control method is to adjust 
the timer constant in the interrupt service subroutine, so as to 
achieve the control of the speed. 

6. Stability of Traditional Motor 
Systems in Future Applications 

In the manufacture of mechatronics, electric drive system 
is a very important equipment system. The PRODUCTS 
USING THE ELECTRIC TRANSMISSION system are: 
numerical control machine tools, robots, electronic computers, 
automatic flaw detection machines, CT scanning and color 
scanners, and wire cutting forming machines. These devices 
involve and apply other related technologies in the 
transmission system, such as mechanical technology, sensing 
technology, new technology of information analysis and 
processing, drive control electronic technology, software 
technology and so on. The application range of these 



 

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electromechanical transmission devices is very wide, but also 
can reflect the major enterprises in ensuring production 
efficiency, quality, to meet the needs of the whole society 
under the premise, in the design of production equipment, 
must effectively ensure the stability of the electromechanical 
transmission system of the product. Mechanical and electrical 
transmission system stability to long-term and sustainable 
development, must be innovative in technology, only in this 
way can promote the long-term and sustainable development 
of enterprises. 

7. Conclusion 
Mechatronic integration technology has been widely used 

in our country, among which mechatronic transmission is its 
key equipment system. As the main power and power source, 
motor plays a pivotal role in people's production and life. In 

the electromechanical system, there are many factors are the 
basis of the drive system, from the electromechanical 
transmission system stability application prospect, the most 
important is to study and analyze and solve the practical 
stability problem. In order to bring long-term benefits to the 
society and economy. 

References 
[1] H.R.Tan, C.X.Zhang, “Discussion on the basic elements and 

functions of electromechanical transmission control system 
(Periodical style),” Modern industrial economy and 
information technology, vol. ED-7, pp. 36–37, Sep. 2019. 

[2] X.F.Wu, “The basic elements and functions of 
electromechanical transmission control system (Periodical 
style),” New technology and new products from China, vol. 
ED-11, pp. 7–8, Jun. 2018.