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True power , Reactive power , Apparent power with power factor

More details on Power and why it is an important aspect in the field of electrical engineering:
Power Factor (PF)
– Power factor is a measure of how effectively the load converts supplied AC power into useful work.
– A power factor of 1 means all the supplied power is being converted into useful work.
– A power factor less than 1 indicates the presence of reactive power, which does not contribute to the actual work done by the load.
– Low power factors can lead to increased energy losses, voltage drops, and capacity issues in the electrical system.

True Power (P)
– True power, or real power, is the actual power consumed by the load and converted into useful work, such as mechanical work or heat.
– It is measured in watts (W) and represents the power that is doing the actual work.
– True power is the component of apparent power that is in phase with the voltage.

Reactive Power (Q)
– Reactive power is the power that is temporarily stored in the circuit’s inductors and capacitors.
– It is measured in volt-amperes reactive (VAR) and does not contribute to the actual work done by the load.
– Reactive power is caused by the phase difference between voltage and current, which is common in circuits with inductive or capacitive loads (e.g., motors, transformers, capacitors).

Apparent Power (S)
– Apparent power is the total power supplied to the circuit, including both true power and reactive power.
– It is measured in volt-amperes (VA) and represents the vector sum of true power and reactive power.
– Apparent power is the product of the RMS voltage and the RMS current, regardless of the phase difference between them.

The relationship between these quantities can be expressed using the power triangle:

The angle between the true power (P) and the apparent power (S) is the phase angle, which is related to the power factor by the equation:

PF = cos(θ)


where θ is the phase angle.

Improving the power factor is often desirable to reduce energy losses, improve voltage regulation, and increase the overall efficiency of the electrical system.

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