Overcompensation Check ➡ Problem: A facility uses a 100 kVAR capacitor bank. Load: 200 kW with a power factor of 0.95.

Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor, and a 4 capacitor. (a) Draw the circuit diagram. (b) Compute the series impedance. (C) Determine the current I delivered by the source. Is the current lagging or leading the source voltage? What is the power factor of this circuit?

A 400V, 50Hz generator supplies two parallel connected loads A and B. Load A draws an active power of 200 kW at 0.75 lagging pf and Load B draws an apparent power of 100 kVA at 0.85 leading pf. Determine the total apparent, active and reactive power supplied by the generator.

A single phase inductive load draws 10 MW at 0.6 power factor lagging. What is the value of the capacitor to be connected in parallel with the load to raise the power factor to 0.8? System voltage is 1000 V and system frequency is 50 Hz.

A 220 Ω resistor is in series with an 80 mH inductor. The AC source is 48  at 1 kHz. The power factor is ________.                                                                                                      Hint: Draw the circuit and get Vs and Is

A 1 kV, 50 Hz underground cable has a capacitance of 0.38 µF/km per/phase. How much reactive power will be generated in 1.5 km of the cable? 2.750 5.0

When a resistor is connected across the terminals of an ac generator (117 V) that has a fixed frequency, there is a current of 0.332 A in the resistor. When an inductor is connected across the terminals of the same generator, there is a current of 0.365 A in the inductor. When both the resistor and the inductor are connected in series between the terminals of this generator, what is (a) the impedance of the series combination and (b) the phase angle between the current and the voltage of the generator? Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise. (a) Number (b) Number Buda i Vrms R Irms.R Circuit 1 Units Units Vrms. Irms, L Circuit 2 > L Vrms R www Circuit 3

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What is the capacitance to be connected in parallel with the load to increase the power factor to 95%? m ww 0.05Ω j0.2 Ω 20 kW 12 kVA 240/0° V rms 0.7 leading 0.9 lagging Vs