Extension of Mathematical Models Taking Temperature Variation in Permanent Magnet Synchronous Motors into Consideration

Abstract

SUMMARY We have developed novel mathematical models of d‐axis and q‐axis magnetic fluxes ϕd and ϕq for permanent magnet synchronous motors (PMSMs). The models can be used to approximate magnetic characteristics using simple fractional equations with id and iq as variables. They include eight constants, and some of them represent the degree of magnetic saturation and cross‐coupling. However, the magnetic characteristics are varied with the temperature rise in PMSMs, which are dependent on the load torque and motor speed. In this paper, the characteristics of the eight constants that vary with the motor temperature and the residual flux density Br are shown. Further, we propose to extend the mathematical models by considering the temperature and Br variation.

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“…e influence of winding temperature rise on mechanical characteristics, such as copper loss, iron loss, and efficiency, was analyzed by the finite element method in [19]. e characteristics of the eight constants that vary with the motor temperature and the residual flux density are shown in [20]. e abovementioned methods have studied and analyzed the influencing factors of motor temperature rise and the mutual influence between motor temperature rise and motor, and established an equivalent model.…”