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Updated: Jun 11, 2025

A Modeling and Simulation Method for Preliminary Design of an Electro-Variable Displacement Pump
Published on: June 1, 2022
Modeling and analysis of non-circumferential symmetric permanent magnet spherical motor using genetic algorithm-based
Sili Zhou1,2, Guoli Li2,3, Qunjing Wang2
1School of Electrical and Information Engineering, Anhui University of Science and Technology, Huainan 232001, China.
This study introduces a novel torque model for permanent magnet spherical motors (PMSpMs) using torque maps and a genetic algorithm. This approach accurately predicts motor performance and enables real-time control for complex applications.
Area of Science:
- Robotics and Control Systems
- Electromagnetism and Magnetic Devices
Background:
- Permanent magnet spherical motors (PMSpMs) are complex multi-degree-of-freedom devices.
- Accurate torque modeling is crucial for controlling PMSpMs, especially those with non-circumferential symmetric magnets.
Purpose of the Study:
- To develop and validate a torque map-based torque model for PMSpMs with non-circumferential symmetric magnets.
- To introduce a genetic algorithm-based approach for calculating reversal torque and improving real-time performance.
Main Methods:
- Analytical modeling of the 3D magnetic field using the spherical harmonic method.
- Formulation of an analytical torque model via the Lorentz force method.
- Development of a torque map-based model and a genetic algorithm for reversal torque calculation.
Main Results:
- The magnetic field model was verified using finite element method (FEM) analysis and experimental radial magnetic flux density measurements.
- FEM and experimental results confirmed the accuracy of the developed torque map-based torque model.
- The genetic algorithm demonstrated effective real-time performance for reversal torque modeling in Qt 5.14/C++.
Conclusions:
- The proposed torque map-based torque model accurately represents PMSpM behavior.
- The genetic algorithm provides an efficient solution for real-time reversal torque calculation.
- The developed models enhance the control and application potential of PMSpMs.
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