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Electrical Engineering Solutions Manual | Key Formulas, MATLAB Code & Problem Answers

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Comprehensive solutions manual for electrical engineering students. Includes step-by-step answers, MATLAB code examples, and detailed explanations for power systems, transformers, AC circuit analysis, synchronous generators, and more. Perfect for exam prep, homework help, and mastering complex calculations in electrical engineering.

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Electrical Engineering Solutions Manual Overview

How are the line losses (PL and QL) calculated in the program? -
. . ANSWER ✓✓ PL is the real power loss calculated as PL =
real(SL), and QL is the reactive power loss calculated as QL =
imag(SL).


How are the real and reactive powers for source 1 calculated? - .
. ANSWER ✓✓ Real power P1 is obtained using P1 = real(S1) and
reactive power Q1 using Q1 = imag(S1).


How are the three identical transformers connected in Problem
3.8? - . . ANSWER ✓✓ Connected in Y on the high-voltage side
and Δ on the low-voltage side.


How can MATLAB be used to visualize voltage, power, and
current over time? - . . ANSWER ✓✓ By plotting v(t), p(t), and i(t)
over a specified time range using appropriate commands.


How can one improve note-taking based on the observations
from these notes? - . . ANSWER ✓✓ By ensuring clarity,
summarizing key points, and avoiding excessive placeholders.

,2|Page


How can real and reactive power be estimated from the plots? - .
. ANSWER ✓✓ By analyzing the pr(t) and px(t) plots.


How can you identify the frequency of a waveform from a graph?
- . . ANSWER ✓✓ The frequency can be identified by measuring
the number of cycles per unit time.


How can you plot the instantaneous powers pa, pb, and pc in
MATLAB? - . . ANSWER ✓✓ Use the commands:
pa=25000*cos(wt).*cos(wt-36.87*pi/180); pb=25000*cos(wt-
120*pi/180).*cos(wt-120*pi/180-36.87*pi/180); pc=25000*cos(wt-
240*pi/180).*cos(wt-240*pi/180-36.87*pi/180); p = pa + pb + pc;
plot(wt, pa, wt, pb, wt, pc, wt, p), grid.


How do you calculate the line-to-line voltage at the high-voltage
terminals of the transformer in Problem 3.8? - . . ANSWER ✓✓
The line-to-line voltage is calculated as V1LL = √3 * V1, where V1
is the phase voltage.


How do you calculate the no-load generated voltage Eφ for the
alternator? - . . ANSWER ✓✓ Eφ = Vφ + (0.35 + j1.2)(Ia).


How do you calculate the phase voltage V1 in Problem 3.9? - . .
ANSWER ✓✓ V1 = 138.564̸ 0◦ + (1.2 + j6)(962.25̸ −36.87◦)(10−3).

,3|Page


How do you calculate the phasor current for a delta-connected
load? - . . ANSWER ✓✓ Iab = Vab / Z, where Z is the impedance.


How do you calculate the phasor current for a Y-connected load?
- . . ANSWER ✓✓ Ia = Van / Z, where Z is the impedance.


How do you calculate the reactance X in the circuit? - . .
ANSWER ✓✓ X = |V|² / Q = (1200)² / 18000 = 80 Ω.


How do you calculate the resistance R in the circuit? - . .
ANSWER ✓✓ R = |V|² / P = (1200)² / 24000 = 60 Ω.


How do you calculate the total energy (W) in the MATLAB code
provided? - . . ANSWER ✓✓ W = P' * Dt, where P is the load and
Dt is the demand interval.


How do you calculate the total kvar of the system after adding
the capacitor bank? - . . ANSWER ✓✓ Total kvar is calculated by
subtracting the required kvar for the desired power factor from
the existing reactive power.


How do you calculate the total voltage across a delta-connected
load? - . . ANSWER ✓✓ Use the line-to-line voltage of the
source, which is 207.85 V rms.

, 4|Page


How do you convert from line-to-line voltage to phase voltage in
a Y-connected system? - . . ANSWER ✓✓ Phase voltage = Line-
to-line voltage / √3.


How do you find the instantaneous current i(t) from the complex
power S? - . . ANSWER ✓✓ Using S = 1/2 Vm Im*, where Vm is
the voltage and Im is the current.


How does the power factor affect transformer efficiency? - . .
ANSWER ✓✓ The power factor influences the real power
delivered and the reactive power, affecting overall efficiency.


How does the program handle the voltage magnitude of source
2? - . . ANSWER ✓✓ The voltage magnitude of source 2 is kept
constant and represented as a column array of the same length
as E1.


How is complex power (S) expressed in terms of real (P) and
reactive power (Q)? - . . ANSWER ✓✓ S = P + jQ, where j is the
imaginary unit.


How is the angle θ calculated for a lagging power factor of 0.8? -
. . ANSWER ✓✓ θ = cos⁻¹(0.8) = 36.87°.

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