Authors: A.V. Grigoriev, N.D. Miller

Title of the article: Mathematical model of a synchronous reluctance motor in a variable-frequency drive system

Year: 2026, Issue: 3, Pages: 40-51

Branch of knowledge: 2.4.2. Electrotechnical complexes and systems (engineering)

Index UDK: 621.313.323

DOI: 10.26730/1816-4528-2026-3-40-51

Abstract: A review of publications devoted to the modeling of synchronous reluctance motors in variable-speed electric drives was carried out, and their mathematical models are presented. The parameters of the electric drive of the VME-6 local ventilation fan were calculated, and transient processes in it were simulated using a computer model. The review of scientific works on the modeling of synchronous reluctance motors showed that there are two generally accepted models for the synthesis of control systems for synchronous reluctance motors and for the simulation of dynamic processes: the model in the d-q coordinate system rigidly linked to the rotor, without and with account of magnetic system losses. In these models, machine saturation is taken into account mainly through current-dependent stator inductance characteristics. The most accurate representation of saturation is provided by a model with cross-coupling dependencies. It was concluded that the following control systems are used for synchronous reluctance motors: vector control and direct torque control. The reference quantities at the inputs of these control systems are generated in different ways (MTPA, MTPV, MPFC). A 25 kW synchronous reluctance motor with a rated voltage of 660 V was designed for mine local ventilation fans. The simulation showed that the efficiency of the synchronous reluctance motor reaches 95% at the same dimensions as an induction motor. The disadvantages of synchronous reluctance motors were identified: high reactive currents leading to increased inverter losses, and insufficient overload capability in the field-weakening region. A model of the local ventilation fan electric drive was developed in Matlab Simulink using the Simscape library, taking into account magnetic saturation in the synchronous reluctance motor.

Key words: synchronous motor reluctance vector control phase transformations coordinate transformations

Receiving date: 08.04.2026

Approval date: 15.05.2026

Publication date: 04.06.2026

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