# Power Factor (PF) Correction Calculations for Power System

**Power Factor correction using static capacitor**

**Calculation formulas as follows:**

**Q1 = I losses + Cu losses****Q2 = PkW · (Tanφ1 – Tanφ2)****I losses = 2% · Str****Cu losses = USC% · Str****Q = Q1 + Q2**

**Where:**

**Q1 = Reactive power to be compensated at the terminals of a transformer due to no load and load losses.****Q2 = Reactive power to be compensated due to total reactive components of lighting, power and mechanical loads.****Q = Overall reactive power to be compensated to achieve target power factor.****I losses = Transformer no load losses = Iron core losses.****Cu losses = Transformer load losses = Copper losses.****Str = Transformer rating (KVA).****P = Maximum demand load on the Main distribution board (kW).****φ1 = Inverse cosine of power factor before compensation.****φ2 = Inverse cosine of target power factor.****Usc% = Short circuit percentage impedance voltage of the transformer.**

**Power Factor Values assumptions before compensation:**

**For lighting outlets = 0.96****For power outlets and receptacles = 0.8****For motors = 0.8**

**Inputs =***Transformer size + Transformer type + kVA Max. demand load for the whole system + PF before compensation + Target value of PF.*

**Outputs =***Reactive power to be compensated at the terminals of a transformer due to no load and load losses.*

**Reactive power to be compensated** due to total reactive components of lighting, power and mechanical loads

**Overall reactive power to be compensated** to achieve target power factor + circuit breaker size required to protect the capacitor bank.

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