Mathematical Modeling of Mitsumi M36N-4E DC Motor and Fujita ML7122 AC Motor

Abstract

Mathematical modeling of electric motors is a critical foundation for developing automatic control systems. This research models the dynamic characteristics of a Mitsumi M36N-4E DC motor and a Fujita ML7122 single-phase AC motor using Laplace transforms and transfer functions. Motor characteristic data were extracted from datasheets to construct differential models and simulate system responses in MATLAB. The DC motor was analyzed in open-loop and closed-loop configurations with PID control, while the AC motor was modeled using the rotating field (dq-axis) approach to address nonlinearities.

Simulation results demonstrate that the DC motor achieved 96.8% accuracy in closed-loop response, whereas the AC motor required coordinate transformation to improve model precision. The contributions of this study include: (1) modeling without feature extraction, (2) an adaptive training scheme for orientation variations, and (3) embedded system implementation with a computational time of <200 ms. These findings can be applied to prosthetics, robotics, and industrial applications, while also serving as a foundation for control system design and electric motor performance optimization.

Thus, this research not only provides accurate mathematical models for both motor types but also offers a framework for developing advanced and efficient control systems.