Analysis of First- and Second-Order Modeling of the ABB M3AE 90 S Single-Phase AC Motor Based on MATLAB/Simulink Simulation

Abstract

This study presents a detailed analysis of the dynamic modeling of the ABB M3AE 90 S single-phase AC motor using first-order and second-order mathematical models implemented in the MATLAB/Simulink environment. The first-order model simplifies the motor’s behavior by focusing on key mechanical parameters, while the second-order model integrates electrical dynamics such as stator resistance, inductance, and back-EMF to capture a more accurate system response. Transfer functions are derived from datasheet-based parameter calculations, yielding G(s) = 0.619 / (0.093s + 1) for the first-order and G(s) = 1.1136 / (0.00007392s² + 0.1656s + 1.240) for the second-order model. Simulation results show that the first-order model offers fast, stable responses ideal for low-complexity control tasks, whereas the second-order model reflects more realistic behaviors with overshoot and longer settling time, making it suitable for high-precision applications. The dq transformation is also employed to simplify the analysis in the dynamic domain and support digital control strategies. This research provides valuable insight for selecting the appropriate modeling approach based on control objectives, system accuracy, and application complexity, recommending second-order modeling for scenarios requiring detailed electromechanical representation.