Ferranti Effect Voltage Rise Calculator

High-Voltage Power Systems: Calculate no-load receiving-end voltage rise ($V_R$), charging current ($I_c$), and required shunt reactor compensation.

Sending-End Voltage $V_S$ (kV LL):

Line Length $L$ (km):

System Frequency $f$ (Hz):

Line Reactance $x$ ($\Omega$/km):

Line Susceptance $b$ ($\mu\text{S/km}$):

Receiving Voltage ($V_R$)

-- kV

Voltage Rise ($\Delta V$)

-- %

Charging Current ($I_c$)

-- A

Reactive Charging Q

-- MVAR

• Propagation Constant ($\beta = \sqrt{x \cdot b}$): -- rad/km

• Electrical Length ($\theta = \beta L$): -- °

• Exact Hyperbolic Ratio ($1 / \cos(\beta L)$): --

• Required Shunt Reactor Sizing (to keep $\Delta V \le 5\%$): -- MVAR

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