Electric Motors and Control Systems
Electric Motors and Control Systems
2nd Edition
ISBN: 9780073373812
Author: Frank D. Petruzella
Publisher: McGraw-Hill Education
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Chapter 3.3, Problem 8RQ
To determine

The reason for applying the constant 1.73(3) in three phase circuit calculations.

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In the circuit shown, find the following: 1) The current Ix. 2) The average power dissipated in the capacitor. 3) The total average power dissipated in the two resistors. 4) The average power of the independent voltage source and specify whether it is supplied or absorbed. 5) The total impedance seen from the terminals of the independent voltage source (Z=V/I). 20 -201 12/00V(+ 21 www 202
2- If you have a unipolar winding stepper motor, draw the driver and the control circuit.   Note: The drawing is on paper.
Given the following reaction system, where Xo is the input, i.e u(t) = k₁ × Xo: $Xo -> x1; k1*Xo x2; k2*x1 x1 2 x2 ->%; k3*x2^2 x2 ->; k4*x2 Xo 1; k1 = 0.4 k2 4.5; k3 = 0.75 k4= 0.2 a) Build the model in Tellurium and run a simulation. Compute the Jacobian at steady state using the method getFull Jacobian(). Make sure you are at steady state! b) Write out the values for n and p c) Write out the differential equations. d) Write out the state space representation in terms of the rate constants etc. e) Compute the values in the Jacobian matrix from d) by substituting the values of the rate constants etc and any data you need from the simulation. f) Confirm that the Jacobian you get in e) is the same as the one computed from the simulation in a). g) Is the system stable or not? If you find an eigenvalue of zero, that means the system is marginally stable. You can get the eigenvalues using the tellurium method r.getFullEigenvalues()

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