An industrial plant has a real power demand of 650 kW at a power factor of 0.65 lagging. The power is supplied by a 3-phase line at voltage of 4.16 kV (line to line voltage). You were just hired and your first task is to find the size of capacitors (in μF) required to improve the power factor to 0.95 lagging. The capacitors will be connected in grounded Y. Find- a) Calculations of the apparent power and the reactive power before the connection of the capacitors, b) Calculations of the reactive power, reactance, and capacitance of a capacitor bank required to improve the power factor to 0.95 lagging c) Calculations of the apparent power and the reactive power after the connection of the capacitors. d) Drawing of the power triangle. In your sketch you must show the real, reactive, and apparent power before and after the power factor correction and highlight the reactive power supplied by the capacitor. e) Sketch of the capacitor connection. Note: frequency is 60 Hz.

Introductory Circuit Analysis (13th Edition)
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An industrial plant has a real power demand of 650 kW at a power factor of 0.65 lagging. The power is supplied by a 3-phase line at voltage of 4.16 kV (line to line voltage). You were just hired and your first task is to find the size of capacitors (in μF) required to improve the power factor to 0.95 lagging. The capacitors will be connected in grounded Y. Find- a) Calculations of the apparent power and the reactive power before the connection of the capacitors, b) Calculations of the reactive power, reactance, and capacitance of a capacitor bank required to improve the power factor to 0.95 lagging c) Calculations of the apparent power and the reactive power after the connection of the capacitors. d) Drawing of the power triangle. In your sketch you must show the real, reactive, and apparent power before and after the power factor correction and highlight the reactive power supplied by the capacitor. e) Sketch of the capacitor connection. Note: frequency is 60 Hz.
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The active power amount of power consumed and absorbed by the load is always equal to or lower than the perceived power.
Real power is the amount of energy that is really consumed by the resistive load, whereas perceived power is the amount of energy that the grid must be able to handle. Real power is measured in watts, but apparent power is measured in VA (Volt Ampere) Comparison of real, reactive, and perceived power.

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