Ferranti Effect Voltage Calculator

Estimate the open-circuit (no-load) receiving end voltage due to the Ferranti effect.

Formula:
\[ V_R = V_S \left[ 1 + \frac{1}{2}\left(\omega\, C_{total}\, Z_c\right)^2 \right] \]
where \( \omega = 2\pi f \), \( C_{total} = \text{Capacitance per km} \times \text{Line Length (km)} \times 10^{-6} \) (in F), and \( Z_c \) is the characteristic impedance.

* Enter sending voltage (kV), frequency (Hz), capacitance per km (µF/km), line length (km), and impedance (Ω).

Step 1: Enter Transmission Line Parameters

Example: 120 kV

Example: 60 Hz

Example: 0.3 µF/km

Example: 100 km

Example: 300 Ω

Formula: \( V_R = V_S \left[ 1 + \frac{1}{2}\left(2\pi f \times (C_{\text{per km}} \times L_{\text{line}} \times 10^{-6}) \times Z_c\right)^2 \right] \)
(Voltage rise \( \Delta V = V_R – V_S \))