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Steady-state simulation model of tooth ply ratio and magnetic permeability of a five-phase hybrid stepper motor

2026-04-06 03:12:56 · · #1
Abstract: This paper proposes a simulation model of a five-phase hybrid stepper motor with flux linkage as the state variable. This model replaces inductance and back EMF and directly uses the tooth layer parameters of the motor for calculation. This paper conducts simulation analysis on a five-phase hybrid stepper motor (model 90BYG550A). The results are very close to the actual measurements, which shows that the model proposed in this paper is correct and reliable. As the basis of the dynamic analysis theory of tooth layer ratio permeability, this paper is of great significance. Keywords: steady-state analysis, hybrid stepper motor, tooth layer parameters, state variables 1 Introduction The steady-state operation analysis of stepper motors is of great significance. Through steady-state analysis, we can find ways to improve the pull-out torque, reduce torque pulsation, and reduce the motor temperature rise. We can use steady-state performance as the objective function for optimization design. Many documents have conducted simulation analysis on the steady-state performance of stepper motors [1-3]. In summary, the basic method is to transform the equation v=ri+pψ (1) satisfied by the motor windings into v=ri+Lpi+e (2), and then use the current operation as the state variable for analysis. In the formula, p = d/dt. (2) The inductance L and back EMF e in the formula can be measured experimentally. In fact, the magnetic circuit of the motor is nonlinear during operation, so this method is inaccurate. In addition, the precise values ​​of inductance and back EMF are not easy to obtain before the motor is manufactured. Unlike the above method, this paper proposes a simulation model that directly uses the flux linkage ψ passing through the winding in (1) as the state variable, decomposes a steady-state cycle into many discrete points, and only needs to use the structural dimensions of the motor to calculate the flux linkage ψ at these points using the tooth layer ratio permeability method, and then solve equation (1) to calculate the current and further calculate the static characteristics such as the output torque. This paper proposes a complete mathematical model, discusses several important parameters in the model, and finally conducts a simulation analysis on a five-phase hybrid stepper motor with model number 90BYG550A. The results are very close to the actual measurements, proving that the method is correct. To view the full text, please click to download: Steady-state simulation model of tooth layer ratio permeability of five-phase hybrid stepper motor.pdf
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