Mathematical Model of a Multi-Winding Synchronous Machine With Hybrid Excitation

2024;
: pp. 62 - 71
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University, Department of Electromechatronics and Computerized Electromechanical Systems
3
Lviv Polytechnic National University, Department of Electromechatronics and Computerized Electromechanical Systems

The use of multi-winding or multi-phase synchronous machines makes it possible to improve electromagnetic compatibility with the power supply, ensure better operation in the case of faults in separate power channels, and improve the quality of electromagnetic torque in systems with semiconductor converters. The magnetic flux in hybrid-excited synchronous machines is formed by means of permanent magnets and an excitation winding. Such machines combine the advantages of permanent magnet synchronous machines with the ability to regulate the magnetic flux. Such regulation is needed in electric drives to expand the speed regulation range, as well as in generators to provide better voltage stabilization and compensation for armature reaction under conditions of speed and load changes.

Simplified models in rectangular frame are often used to perform research and synthesis of control systems for multi-winding synchronous machines, including permanent magnet machines, in power generation and consumption systems. Such models provide high calculation speed, however, they do not allow modeling all operating modes, including asymmetric ones with different winding connection schemes.

The paper proposes a new mathematical model of a multi-winding synchronous machine with hybrid excitation developed using the method of average voltages at the numerical integration step, which provides high numerical stability of the computation performance. The model of the synchronous machine is developed in phase coordinates, which increases the possibilities of modeling, in particular, asymmetric operating modes and multichannel modes with different ways of connecting loads to windings. Representation of the mathematical model in the form of a multipole facilitates its use for modeling complex electromechanical systems.

The adequacy of the model is confirmed by comparing the simulation results with the results of a physical experiment using a two-winding synchronous machine with hybrid excitation.

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