Simulation of Power Electronics Circuits with MATLAB®/Simulink®: Design, Analyze, and Prototype Power Electronics

Exercises

Exercises for Chapters 1 and 2

1. A DC motor is a rotary machine that converts DC currents into mechanical energy. The electric equivalent circuit of the armature and free body diagram of the rotor is shown in Figure 1.

Figure 1

Schematic representation of a DC motor system

Using Newton’s second law and Kirchhoff’s Voltage Law (KVL)

(1)

where J_m, θ, τ, B_m, L_a, R_a, i_a, v_a, K_t,and K_b indicate moment of inertia, angle of motor’s shaft, developed torque (τ = K_t i_a(t)), friction coefficient, armature inductance, armature resistance, armature current, ...