Mathematical modeling of MITSUBISHI ELECTRIC AC motor TYPE SCL-QR 1HP 4P 1PHASE order 1 and order 2

Abstract

Single-phase AC motors are widely used in industrial and household applications due to their simplicity, but their mathematical modeling is often complex due to nonlinearities and unbalanced magnetic field effects. The main challenge is to simplify the dynamic model of this motor to facilitate system response analysis, controller design, and performance optimization without compromising accuracy. This study aims to develop a mathematical model of the Mitsubishi Electric SCL-QR 1HP 4P single-phase AC motor in first and second-order representations. The model is designed to predict the motor's response to voltage and load variations and serves as a foundation for designing more efficient control systems. The key contributions of this research are: 1. Simplification of the single-phase AC motor dynamic model into first and second-order forms, considering electrical parameters (stator resistance, inductance) and mechanical parameters (moment of inertia, torque).

1. Comparative analysis of the performance of first and second-order models in predicting transient and steady-state responses. 3. Model validation through MATLAB/Simulink simulations to ensure consistency with the motor's technical data. The research methodology includes: 1. Mathematical modeling based on differential equations and Laplace transforms for transfer functions.
2. Identification of motor parameters from the datasheet (e.g., stator resistance

, inductance , moment of inertia

1. Simulation of system responses to step and ramp inputs using MATLAB/Simulink. The results show: 1. The first-order model yields a faster settling time ( seconds) but is less accurate in capturing high-frequency dynamics. 2. The second-order model is more precise, with an overshoot of 8.5% and a settling time of , and can predict resonance at a frequency of 3. The second-order transfer function: , with simulation accuracy reaching 96.8%

The second-order model is more effective for analyzing the dynamics of the SCL-QR 1HP 4P single-phase AC motor, especially in applications requiring high-frequency response. The first-order simplification can be used for quick estimations with certain error tolerances. These findings provide a foundation for developing PID or adaptive controllers to enhance motor performance under various operating conditions.