Electrical Engineering and Power Control Engineering Assignment Help

Assignment Task

School of Physics, Engineering and Computer Science
center175895Three-Phase Systems and Power Factor Correction
Aim
The objective of this lab is to:
Analyse of three-phase balanced and unbalanced circuits.
Verify the relationships between phase current/voltage and line current/voltage in both delta and star connected systems.
Identify the difference between apparent power, active power, and reactive power, and understand the power factor correction of a 3-phase system.
PART 1 - BALANCED AND UNBALANCED THREE-PHASE SYSTEMS
Task 1.1
A 230 V rms, 50 Hz balanced three-phase voltage supply is connected to a balanced star-connected three-phase load. The load is Ra = Rb = Rc = 40 and La = Lb = Lc = 0.1 H, Rneutral = 2 ,
Construct the Simulink model of the star-connected balanced 3-phase circuit shown in Figure 1.1.
Plot the waveforms of the phase and line voltages across the load and measure their values. What is the relation between the two voltages?
What is the current in the neutral line? Comment
Figure 1.1 Balanced three-phase circuit with star-connected load.
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Task 1.2
1) Construct a delta-connected balanced 3-phase load circuit shown in Figure 1.2. The load is Ra = Rb = Rc = 40 and La = Lb = Lc = 0.01 H.
Measure the waveforms of the phase and line voltages across the load.
What is the relation between the two voltages?

Figure 1.2 Balanced three-phase circuit with delta-connected load.
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Task 1.3
Using the Simulink model of Figure 1.1. Change the values of the load is Ra = Rb = 40 Rc = 20 and La = Lb = 0.1 H, Lc = 0.15 H, Rneutral = 2 ,
What is the current in the neutral line? Comment.
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PART 2 – POWER FACTOR CORRECTION
A three-phase load is supplied from a 11 kV (L-L), 50 Hz source voltage, The load impedance per phase is
Z = 120 + j 160 . To improve the power factor of the circuit a capacitor bank is added in parallel with load. The capacitor values are C1 = C2 = C3 = 4.8 F.
Construct the circuit of Figure 2.1 in Simulink.
Measure the line currents before and after adding the capacitors.
Calculate the power factor before and after adding the capacitors.
Calculate the capacitance to be inserted to obtain the same power factor as in (i) and verify your answer via measurement.
Calculate the capacitances which need to be added to the phase circuit and to the load lines if the power factor is corrected to 0.9. Compare the results and make comments.
 

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