Dynamic Modeling of Single-Phase EMMS-AS-100-L-HS-RR DC Motor for Control System Design

Abstract

The mathematical modeling of DC motors is essential for the development of effective control systems in industrial and robotic applications. This study presents the transfer function modeling and simulation of the DC motor EMMS-AS-100-L-HS-RR using fundamental principles of electrical and mechanical system analysis. The motor’s dynamic behavior was described using first-order differential equations derived from its electrical armature circuit and mechanical rotational dynamics. Key parameters such as armature resistance, inductance, back-EMF constant, torque constant, moment of inertia, and damping coefficient were extracted and converted appropriately to SI units to suit the modeling framework. The system's transfer function was obtained in the Laplace domain and analyzed to observe the relationship between input voltage and angular velocity. MATLAB/Simulink was utilized to simulate the system’s time-domain response, allowing validation against expected dynamic characteristics. The modeling results demonstrated that the DC motor system exhibits a typical first-order lag behavior with a dominant time constant and steady-state gain that can be used as a reference in control system design, especially for speed regulation. Furthermore, this study highlights the importance of accurate parameter estimation from datasheets and provides a systematic approach for converting non-standard units commonly found in manufacturer specifications. The developed model can serve as a foundation for further implementation of closed-loop controllers such as PID or state-feedback control. The results of this research can be applied in real-time embedded system development for automation processes involving precision DC motors.