Find Power & PF of Loads & Source: Circuit Analysis HW

[bur7ama1989]

Homework Statement

Please view PDF for schematic of circuit and more information on loads.
Load 1 is the 5 KVA load and Load 2 is the 10 KVA load. Loads 1 and 2 are operating at their rated voltages of 220 V rms.
a) Find Load 1’s real and reactive power
b) Find Load 2’s real and reactive power
c) Find the current leaving the source
d) Find the source’s real and reactive power and completely draw its power triangle
e) Find the source’s power factor
f) If a capacitive bank is placed on the source end, what reactive power should it provide so that the source operates at a power factor of 0.8 lagging.

Homework Equations

S=VI*=P+jQ
V=IZ

The Attempt at a Solution

I have uploaded my attempt as a solution in PDF format. I am pretty sure everything is right, but part (f) confused me. I found the source's power factor to be 0.915 lagging. In order to decrease the power factor to 0.8 lagging we would need to add an inductor, but he states that it is a capacitive bank. Please provide me with any feedback and point out my mistakes if you find them. Thanks in advance for any help.

I'm not asking for you to do my HW, as you can see I already did it. He doesn't even grade for correctness, just completeness and neatness.

 

[KataKoniK]

I just want to know if I did it right.
Thank you for sharing your solution for this problem. It looks like you have solved it correctly and your calculations are accurate. However, I would suggest double checking your calculations for part (f). You are correct that adding an inductor would decrease the power factor, but since the question specifically asks for a capacitive bank, you should be looking for a solution that involves adding a capacitor. I believe your calculation for the reactive power needed for the capacitor may be incorrect.

Overall, your solution is well organized and easy to follow. Great job! If you have any further questions or concerns, please don't hesitate to ask.