DC Motor Modeling: Deriving Transfer Function for Armature-Controlled & Field-Controlled Systems

Mastering DC Motor Control starts with understanding its mathematical model. This essential tutorial breaks down the process of finding the Transfer Function—the heart of the motor's dynamic behavior—for two classic operating modes:Armature-Controlled DC Motor: Discover how the motor responds when the input voltage ($V_a$) is varied while the field current is held constant. We model the relationship between $V_a(s)$ and the resulting angular velocity $\omega(s)$.Field-Controlled DC Motor: Explore the dynamics when the field voltage ($V_f$) is the input and the armature current is constant.