Multifrequency controlled synchronization of four inductor motors by the fixed frequency ratio method in a vibration system

Jia, Lei; Wang, Chun; Liu, Zi-Liang

doi:10.1038/s41598-023-29603-y

Cited by 6 publications

(5 citation statements)

References 20 publications

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“…Introducing a small parameter ε 3 for the phase error, then taking Eqs ( 12)~( 13) into Eq (11), expanding Eq (11) with Taylor's method at α = α 0 +ε 3 . We can get the Eq (14) as follows:…”

Section: Synchronization Conditions and Stability Conditionsmentioning

confidence: 99%

“…The theory of controlled synchronization has been applied by many scholars in different fields, proportional-integral-derivative (PID) and sliding mode control are two of the more mature control methods. Jia et al [10,11] investigated the multi-frequency synchronization problem of a multi-motor vibration system with fuzzy PID control and experimentally proved the feasibility and effectiveness of this method. In their research, fuzzy PID control has good controlling effect, but the response time is long and the robustness of fuzzy PID is not considered.…”

Section: Introductionmentioning

confidence: 99%

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Controlled synchronization of a vibrating screen driven by two motors based on improved sliding mode controlling method

Jia,

Wang,

Pan

et al. 2023

PLoS ONE

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With a requirement of miniaturization in modern vibrating screens, the vibration synchronization method can no longer meet the process demand, so the controlled synchronization method is introduced in the vibrating screen to achieve zero phase error state and realize the purpose of increasing the amplitude. In this article, the controlled synchronization of a vibrating screen driven by two motors based on improved sliding mode controlling method is investigated. Firstly, according to the theory of mechanical dynamics, the motion state of the vibrating screen is simplified as the electromechanical coupling dynamical model of a vibrating system driven by two inductor motors. And then the synchronization conditions and stability criterion of the vibrating system are derived and numerically analyzed. Based on a master-slave controlling strategy, the controllers of two motors are respectively designed with Super-Twisting sliding mode control (ST-SMC) and backstepping second-order complementary sliding mode control (BSOCSMC), while the uncertainty is estimated by an adaptive radial basis function neural network (ARBFNN). In addition, Lyapunov stability analysis is performed on the two controllers to prove their stability theoretically. Finally, simulation analysis is conducted based on the dynamics model in this paper.

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Section: Synchronization Conditions and Stability Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Controlled synchronization of a vibrating screen driven by two motors based on improved sliding mode controlling method

Jia,

Wang,

Pan

et al. 2023

PLoS ONE

Self Cite

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“…Jin et al [23] studied the vibration system with two induction motors and proposed a commanded filtered backstepping scheme with full-state constraints, using a control algorithm of neural networks to realize the convergence of the tracking error and synchronization error in the system. Jia et al [24,25] adopted the control method of fuzzy PID to achieve vibration synchronization of induction motors in the control synchronization and compound synchronous control processes of multiple motors, achieving the zero-phase difference, compound, controlled, and synchronous motion of three and four induction motors with different distributions using the master-slave control strategy.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of Dual Induction Motor Multi-Frequency Control Based on Fixed Speed Ratio

Zhang,

Jia

2024

Machines

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For the same frequency, a vibrating screen usually can only achieve a circular or linear motion trajectory, which will lead to the phenomenon of screen clogging. The compound frequency vibrating screen can achieve various motion trajectories according to different frequency ratios, thus perfectly solving this problem. Thus, the multi-frequency control synchronization problem of the dual induction motor-driven vibration system based on the fixed speed ratio was studied. Firstly, by establishing an electromechanical coupled dynamics model of the vibration system driven by dual induction motors, the response equation of the fixed speed ratio vibration system was derived. Then, the master–slave control strategy was used to control the two induction motors through PID control optimized by a genetic algorithm. The slave motor tracked the main motor through the speed ratio method and achieved fixed speed ratio control synchronization. The simulation analysis showed that the two induction motors vibration system could not achieve self-synchronous motion with a fixed speed ratio, but by using the back propagation proportion-integral-derivative control (BP PID, PID based on BP neural network), we were able to achieve control synchronization with a fixed speed ratio. Herein, the arbitrariness of the fixed speed ratio parameter is also discussed, and controlled synchronous motion of the vibration system with a non-integer fixed speed ratio was realized. Finally, the simulation results were verified through experiments with the fixed speed ratio parameter n = 1.5, which verified the validity of the synchronization theory of fixed speed ratio control in vibrating systems and made it possible to apply it in compound frequency vibrating screens.

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“…Moreover, the system is built upon an advanced closed-loop single-axis or multi-axis vibration controller, featuring a low-noise, foundation-free design for the entire platform structure. It is comprised of three main components: a fully digital modular design and the latest IGBT advanced technology power amplifier [8] . This system is capable of accurately simulating the effects of realistic vibrations and impact excitations on the reliability of test specimens.…”

Section: Introduction To Vibration Testing Platformsmentioning

confidence: 99%

Research on vibration test method of electric actuator

Hu,

Li,

Gao

et al. 2024

J. Phys.: Conf. Ser.

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The stable, safe, and reliable operation of electric actuator valve systems is of great significance in industrial production. This paper proposes a vibration test method for electric actuators, employing the test to meet the test severity level as the first priority, with random frequency vibration within 10 Hz to 1000 Hz. The vibration acceleration is loaded with a Gaussian distribution, which can be used to simulate the irregular vibration of electric actuators in the actual working conditions of the working environment. The test is divided into up and down vibration (z-axis), left and right vibration (x-axis), and front and rear vibration (y-axis) in three directions independently to verify the electric actuator from the mechanical structure and the circuit structure in order to meet the reliability requirements of the actual production.

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Multifrequency controlled synchronization of four inductor motors by the fixed frequency ratio method in a vibration system

Cited by 6 publications

References 20 publications

Controlled synchronization of a vibrating screen driven by two motors based on improved sliding mode controlling method

Controlled synchronization of a vibrating screen driven by two motors based on improved sliding mode controlling method

Synchronization of Dual Induction Motor Multi-Frequency Control Based on Fixed Speed Ratio

Research on vibration test method of electric actuator

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