A single-phase AC generator feeds a load. The generator may be modeled as an ideal sinusoidal voltage source (Ef volts) in series with an ideal inductance (X, = 2 ohms) and a small winding resistance (Ra = 0.5 ohms). The load draws a current of (IL = 10 amps) with a power factor of 80% lagging at a fixed load voltage (VL 240 volts). The voltages and current just mentioned are all in their rms values. Draw and label the circuit, write down the governing equation(s) and draw an appropriate phasor diagram for this operation. Calculate the angle between phasors Ef and V₁. Neglect the resistance R₁ and calculate the power flow from the source to the load by using the formula K|V₂| P = sin (8). Compare this value with the load power calculated from V I cos (0). X₁2 1

A single-phase AC generator feeds a load. The generator may be modeled as an ideal sinusoidal voltage source (Ef volts) in series with an ideal inductance (X, = 2 ohms) and a small winding resistance (Ra = 0.5 ohms). The load draws a current of (IL = 10 amps) with a power factor of 80% lagging at a fixed load voltage (VL 240 volts). The voltages and current just mentioned are all in their rms values. Draw and label the circuit, write down the governing equation(s) and draw an appropriate phasor diagram for this operation. Calculate the angle between phasors Ef and V₁. Neglect the resistance R₁ and calculate the power flow from the source to the load by using the formula K|V₂| P = sin (8). Compare this value with the load power calculated from V I cos (0). X₁2 1

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Synchronous Generator

In comparison to an asynchronous generator, it is a machine where the rotor speed is equal to the rotating magnetic field produced by the stator, i.e., mechanical speed is equal to the electrical speed, thus called synchronous, and not asynchronous.

Salient Pole Rotor

Salient pole rotor includes a large number of exposed poles mounted on a magnetic wheel. The construction of a bright pole is as shown in the image on the left. The proposed poles are made of metal laminations. The rotor winding is provided on these poles and is supported by pole shoes.

Question

1.3
A single-phase AC generator feeds a load. The generator may be modeled as an ideal
sinusoidal voltage source (Ef volts) in series with an ideal inductance (X 2 ohms) and a
small winding resistance (Ra=0.5 ohms). The load draws a current of (IL = 10 amps) with a
power factor of 80% lagging at a fixed load voltage (VL 240 volts). The voltages and
current just mentioned are all in their rms values. Draw and label the circuit, write down the
governing equation(s) and draw an appropriate phasor diagram for this operation. Calculate
the angle between phasors Ef and V₁. Neglect the resistance Ra and calculate the power flow
from the source to the load by using the formula
V₁| |V₂|
X12
P
=
=
=
sin (8). Compare this value with the load power calculated from V I cos (0).

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