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Since dc motors of various types are used extensively in control systems, it is essential for analytical purposes that we establish a mathematical model for the dc motor. Let us consider the case of a separately excited dc motor with constant field excitation. The schematic representation of the model of a dc motor is shown in Figure. We will investigate how the speed of the motor responds to changes in the voltage applied to the armature terminals. The linear analysis involves electrical transients in the armature circuit and the dynamics of the mechanical load driven by the motor. At a constant motor field current If, the electromagnetic torque and the generated emf are given by
Te = Kmia
ea = Kmωm
where Km = kIf is a constant, which is also the ratio ea/ωm. In terms of the magnetization curve, ea is the generated emf corresponding to the field current If at the speed ωm. Let us now try to find the transfer function that relates m(s) to Vt(s).
Chopper Configuration Chopper are classified in five different classes according to their operating capability in particular quadrant. The current directions and voltage
Let ω = 2π × 60 rad/s corresponding to a frequency of 60 Hz. (a) Consider v(t) = 100 √2 cos(ωt + 30°) V and i(t) = 10 √2 sin(ωt + 30°) A. Find the corresponding phasors ¯V and ¯
1. Modeling of Armature and Field Controlled DC motors: Steady state and dynamic models; development of block diagrams; assumptions used; complexity involved in realistic models;
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For the amplifier circuit shown in Figure with R i ≅ ∞,R o ≅ 0,A = 10,R L = 100 , and v in = 1 V, calculate the power dissipated in the amplifier if the voltage at the power-s
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