Electric Motors and Control Systems
2nd Edition
ISBN: 9780073373812
Author: Frank D. Petruzella
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 3.2, Problem 1RQ
Define the terms primary and secondary as they apply to a transformer winding.
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A linear electrical load draws 11 A at a 0.72 lagging power factor./1 153. When a capacitor is connected, the line current dropped to 122 A and the power factor
improved to 0.98 lagging. Supply frequency is 50 Hz.
a. Let the current drawn from the source before and after introduction of the capacitor be 11 and 12
respectively. Take the source voltage as the reference and express 11 and 12 as vector
quantities in polar form.
b. Obtain the capacitor current, IC = 12 - 11, graphically as well as using complex number
manipulation. Compare the results.
c. Express the waveforms of the source current before (11(t)) and after (12(t)) introduction of the
capacitor in the form Im sin(2лft + 0). Hand sketch them on the same graph. Clearly label your
plots.
d. Analytically solve i2(t) – i1(t) using the theories of trigonometry to obtain the capacitor current
in the form, ¡C(t) = ICm sin(2πft + OC). Compare the result with the result in Part b.
Transmission line data:Data:• Active power of the load (P): 50 kW• Power factor of the load (PF): 0.8 (lagging)• Line-to-line voltage at the load (V_LC): 13.8 kV• Line resistance (R): 2 Ω• Line inductance (L): 0.8 H• Line capacitance (C): 0.0003 F• Required series compensation: 60% of the line impedance.• Line length: 250 kmDetermine:1. Characteristic impedance and propagation constant.2. The generalized long line constants A, B, C, D.3. Total voltage, current and power at the generating end.4. Voltage regulation.5. Parameters A, B, C, D of the compensation circuit.6. New generalized constants of the power system afterseries compensation.7. Conclusion of the results obtained.
3.18
In a single-phase half-wave ac-dc converter, the average value of the load
current is 1.78 A. If the converter is operated from a 240 V, 50 Hz supply
and if the average value of the output voltage is 27% of the maximum
possible value, calculate the following, assume the load to be resistive.
(a) Load resistance
(b) Firing angle
(c) Average output voltage
(d) The rms load voltage
(e) The rms load current
(f) DC power
(g) AC power
(h) Rectifier efficiency
(i) Form factor
(j) Ripple factor
Chapter 3 Solutions
Electric Motors and Control Systems
Ch. 3.1 - Prob. 1RQCh. 3.1 - a. If 1 MW of electric power is to be transmitted...Ch. 3.1 - Compare the type of AC power normally supplied to...Ch. 3.1 - a. Outline the basic function of a unit...Ch. 3.1 - list three factors taken into account in selecting...Ch. 3.1 - When motors and motor controllers are installed,...Ch. 3.1 - a. What types of conduit raceways are commonly...Ch. 3.1 - Compare the function of a switchboard, panelboard,...Ch. 3.2 - Define the terms primary and secondary as they...Ch. 3.2 - On what basis is a transformer classified as being...
Ch. 3.2 - Explain how the transfer of energy takes place in...Ch. 3.2 - In an ideal transformer, what is the relationship...Ch. 3.2 - A step-down transformer with a Wins ratio of 10:1...Ch. 3.2 - A step-up transformer has a primary current of 32...Ch. 3.2 - What is meant by the term transformer magnetizing,...Ch. 3.2 - Prob. 8RQCh. 3.2 - Prob. 9RQCh. 3.2 - Prob. 10RQCh. 3.2 - The primary of a transformer is rated for 480 V...Ch. 3.2 - A single-phase transformer is rated for 0.5 kVA, a...Ch. 3.3 - Explain the way in which the high-voltage and...Ch. 3.3 - Prob. 2RQCh. 3.3 - Prob. 3RQCh. 3.3 - Prob. 4RQCh. 3.3 - Prob. 5RQCh. 3.3 - Prob. 6RQCh. 3.3 - Prob. 7RQCh. 3.3 - Prob. 8RQCh. 3.3 - Explain the basic difference between the primary...Ch. 3.3 - Prob. 10RQCh. 3.3 - Prob. 11RQCh. 3.3 - Prob. 12RQCh. 3.3 - What important safety precaution should be...Ch. 3.3 - Prob. 14RQCh. 3.3 - The control transformer for an across-the-line...Ch. 3.3 - The two primary windings of a dual-primary control...Ch. 3.3 - Prob. 3TCh. 3.3 - A dry-type general-purpose power transformer is...Ch. 3.3 - A current transformer is to be tested in circuit...Ch. 3.3 - Discuss how electric power might be distributed...Ch. 3.3 - A block of several transformers arc fed from...Ch. 3.3 - How would you proceed with a DC resistance check...Ch. 3.3 - Prob. 5DT
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- Need a solufor number 2arrow_forwardDecompose using relationships 3 S(+) = 50 sin ³ (500πiz)arrow_forwardA linear electrical load draws I₁ A at a 0.72 lagging power factor. 11 = 153 When a capacitor is connected, the line current dropped to 122 A and the power factor improved to 0.98 lagging. Supply frequency is 50 Hz. a. Let the current drawn from the source before and after introduction of the capacitor be 1₁ and 12 respectively. Take the source voltage as the reference and express 11 and 12 as vector quantities in polar form. b. Obtain the capacitor current, Ic = I2 − I₁, graphically as well as using complex number manipulation. Compare the results. c. Express the waveforms of the source current before (i₁(t)) and after (i2(t)) introduction of the capacitor in the form Im sin(2лft + 0). Hand sketch them on the same graph. Clearly label your plots. d. Analytically solve i₂ (t) - i₁ (t) using the theories of trigonometry to obtain the capacitor current in the form, ic (t) = 1cm sin(2´ft + 0c). Compare the result with the result in Part b.arrow_forward
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