Electric Motor Control
10th Edition
ISBN: 9781133702818
Author: Herman
Publisher: CENGAGE L
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Chapter 24, Problem 3SQ
Under what condition will the motor restart automatically after a voltage failure?
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- The question was to obtain the Fourier series for the periodic function f(x)= -2 when -πarrow_forwardConsider the homogeneous RLC circuit (no voltage source) shown in the diagram below. Before the switch is closed, the capacitor has an initial charge go and the circuit has an initial current go. R w i(t) q(t) C н After the switches closes, current flows through the circuit and the capacitor begins to discharge. The equation that describes the total voltage in the loop comes from Kirchoff's voltage law: di(t) L + Ri(t) + (t) = 0, dt (1) where i(t) and q(t) are the current and capacitor charge as a function of time, L is the inductance, R is the resistance, and C is the capacitance. Using the fact that the current equals the rate of change of the capacitor charge, and dividing by L, we can write the following homogeneous (no input source) differential equation for the charge on the capacitor: ä(t)+2ag(t)+wg(t) = 0, (2) where R a 2L and w₁ = C LC The solution to this second order linear differential equation can be written as: where 81= q(t) = Ae³¹- Bel 82 = (3) (4) (5)arrow_forward2. 1. A. Simplify the models in the following block diagrams to open loop models (Y/R = G). U(s) o G₁ ROS G₂ 1-GG G4 X₁ Σ az 51- 515 G6 G₂ 5 G₂ M b₁ b₂ Σ o Y(s) X₁ byarrow_forward
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