Monday, May 30, 2016

DAY 23:: APPARENT POWER AND POWER FACTOR/ APPARENT POWER AND POWER FACTOR LAB

PART 1: APPARENT POWER AND POWER FACTOR
Today, we expand the idea about power in the RLC circuit with sinusoidal sources including complex power, apparent power, and power factor. 
we derive the effective current and effective voltage

We did a problem pertaining to the effective current and voltage.


The relation between the apparent power and the average power, as well as the power factor

The angle of the impedance equal to the phase shift between the voltage and the current across this impedance.



We did a problem about the apparent power. Complex power S = Vrms.Irms* = Vrms/Z* = Irms. Z.

The summary of the complex power S (VA), the apparent power S (VA), the real power P(W), the reactive power Q (VAR), the power factor pf. 


We did a problem about the complex power.

cont. We define that the impedance is capacitive impedance. 

Another practice problem of complex power. Correcting the power factor by add the capacitor in parallel with the inductive load. We practice the a question about the power factor correction



PART 2: APPARENT POWER AND POWER FACTOR LAB

Purpose: This lab aims to practice calculation the complex power's component, and then verify the calculation with the measurement.

Pre-lab:

We calculate the theoretical values of the circuit with different resistors.

Calculation of RL circuit. 

Calculation of RLC circuit



Rl= 10ohm

Rl= 47ohm

Rl =100ohm

c

capacitor parallel

Based on the oscilloscope's data, we deduce the measured values in the table above. There is a acceptable errors between the theoretical and the experimental values about 1%-10%. The errors is acceptable since in our calculation, we assume the inductor and the capacitor is ideal rather than they has some resistor in reality. 

Conclusion:
We have built a number of equations relating to the complex power and analyzed the method to correct the power factor and gain the unity power. Moreover, we also did the experiment to practice calculations of the complex power problems. 

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