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

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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).
Transcribed Image Text: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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