EE313 - Homework #5

20 points

Due November 11th

1. Design the load, Zl.1 such that the load absorbs maximum average power from the circuit

network. Find this maximum average power.

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2. A balanced, three phase, y-connected source has a line voltage magnitude, VL =300 Vrms. The

source is connected to two balanced, three phase, y-connected loads. The first load absorbs a

total three-phase average power of 12 kW at a power factor of 0.24 lagging. The second load

absorbs a complex power of 21L602 kVA.

a. For each phase, find the line to neutral voltages and the line to line voltages.

b. Find the phase current magnitude associated with each load.

c. Find the line current (phasor) for each phase.

d. What is the total three-phase average power delivered by the source?

e. Design a balanced, three-phase, y-connected corrective load that will change the

effective power factor of all three loads to 0.95 lagging. The line voltage magnitude may

not change and the total three-phase average power delivered by the source may not

change.

f. If the system operates at 60 Hz, what is the component value of the corrective load?

3. A balanced, three phase, y-connected source has a line voltage magnitude, VL =300 Vrms. The

source is connected to a balanced, three phase,ll-connected load. The load absorbs a total

three-phase average power of 9 kW at a power factor of 0.5 lagging.

a. For each phase, find the line to neutral voltages and the line to line voltages.

b. Find the phase current magnitude associated with each load.

c. Find the line current (phasor) for each phase.

d. Find the impedance of the load.