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Electrical Motor Controls For Integrated Systems: Applications Manual
5th Edition
ISBN: 9780826912299
Author: Gary J. Rockis;glen A. Mazur
Publisher: American Technical Publishers
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Chapter 10.1, Problem 1CP
To determine
To explain: The alternative name for an AC generator.
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Introduction
The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2
states will be used, based on the number of the energy - storing elements of the circuit, the
capacitor and the inductor.
u(t)
+
ΙΩ
www
13
F
5 Ω it (t)
www
vc(t) 1 H
Figure 1: LCR circuit
The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage
across the capacitor, vc(t).
Questions
1. Choice of system states:
Choose appropriate signals for the 2 states of the
system.
x₁(t) = i₁(t)
x₂ (t) =
5. State transition matrix:
(t), which is defined as,
Calculate analytically the state transition matrix
(t) = et = L¯¹{(sI – A)¯¹}
Show that the answer is the following,
1
e-4t cos(√2t) -
e-4 sin(√2 t)
1
e
-4t
√2
(t) = et
-3
1
-4t sin (√2 t)
e
COS
-4t cos (√2t) + -
e
sin(√2 t)
2-4t sin(√2 t)|
Calculate the following:
(SI - A)-1=
Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace:
L¯¹{(SI - A)¯¹} =
A single-core cable working on 66 kV has a conductor diameter of 2 cm and the sheath of inside diameter
is 10 cm. If two metallic intersheaths of diameters 5 cm, 8 cm respectively are used for grading the cable.. If
the maximum electric stress is the same for each layers.
1- Find the voltage of each metallic intersheaths.
2- Find the thickness of each layers.
Chapter 10 Solutions
Electrical Motor Controls For Integrated Systems: Applications Manual
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- Add a second start button to the basic circuit so Start Button 1 or Start Button 2 can be used to start a motor. Include a second stop button that is connected so that Stop Button 1 or Start Button 2 can be used to stop the motor.arrow_forwardAdd a second start button to the basic circuit so Start Button 1 or Start Button 2 can be used to start a motor. Include a second stop button that is connected so that Stop Button 1 or Start Button 2 can be used to stop the motor.arrow_forwardCircuit Logic. Match each statement to the proper circuit. All circuits have been drawn with a light (L) to represent the load, whether it is a motor, bell, or any other kind of load. In addition, each switch is illustrated as a pushbutton whether it is a maintained switch, momentary switch, pushbutton, switch-on target, or any other type of switch. from electrical motor controls for integrated systems workbook 2014 chapter 5arrow_forward
- Ideal op-amps. R)1= 16 kΩ and R)2= 56 kΩ. Find the voltage gain v_o/v_i of the circuit.arrow_forwardR is 12 kΩ . Find the Thevenin equivalent resistance.arrow_forwardAssuming an ideal op-amp, design an inverting amplifier with a gain of 25 dB having the largest possible input resistance under the constraint of having to use resistors no larger than 90 kΩ. What's the input resist?arrow_forward
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Working Principle of DC Motor (animation of elementary model); Author: chrvoje engineering;https://www.youtube.com/watch?v=j_F4limaHYI;License: Standard Youtube License