Formula library

Ferranti Effect Voltage Rise

\[\Delta V=\frac{V_r-V_s}{V_s}\times100\]

Variables

dV[ΔV]Ferranti voltage rise (%)
Vrreceiving-end voltage (V)
Vssending-end voltage (V)

Description

What is this formula?


This formula calculates the percentage voltage rise caused by the Ferranti Effect, a phenomenon that occurs in long AC transmission lines under light-load or no-load conditions.


When to use it


Use this formula when studying long transmission lines, reactive power effects, voltage regulation, and high-voltage power system behavior.


Example


A transmission line operates with:


Sending-end voltage = 220 kV


Receiving-end voltage = 228 kV


Formula:


ΔV = ((Vr − Vs)/Vs) × 100


Substitution:


ΔV = ((228 − 220)/220) × 100


Result:


ΔV = 3.64%


Applications


Long transmission line studies


Reactive power analysis


Voltage regulation evaluation


Power system planning


High-voltage network design


Note


The Ferranti Effect is most significant in long high-voltage AC transmission lines operating under light load. The effect is caused by line capacitance generating reactive power, which can cause the receiving-end voltage to exceed the sending-end voltage. More detailed transmission-line models are required for accurate engineering studies.

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