Short Transmission Line Efficiency & Regulation Calculator

    Short Transmission Line Efficiency & Regulation Calculator

    For a short transmission line, the receiving-end voltage is approximated by:
    \[ V_R = V_S – \frac{I\Bigl(R\cos\phi + X\sin\phi\Bigr)}{1000} \] where \(\phi=\arccos(PF)\). Then, the efficiency is \[ \eta = \frac{V_R}{V_S}\times100\% \] and the voltage regulation is \[ \text{Regulation} = \frac{V_S-V_R}{V_R}\times100\%. \]

    * Enter sending voltage (kV), line current (A), power factor, and line impedance values (R and X in ohms).

    Step 1: Enter Transmission Line Parameters

    Example: 220 kV

    Example: 500 A

    Example: 0.95

    Example: 0.2 Ω

    Example: 0.3 Ω

    Derived Formulas:
    \( V_R = V_S – \frac{I(R\cos\phi+X\sin\phi)}{1000} \),
    \( \eta = \frac{V_R}{V_S}\times100\% \), and \( \text{Regulation} = \frac{V_S-V_R}{V_R}\times100\% \), with \( \phi = \arccos(PF) \).


    Example:
    For \(V_S = 220\,\text{kV}\), \(I = 500\,\text{A}\), \(PF = 0.95\), \(R = 0.2\,\Omega\), and \(X = 0.3\,\Omega\), the calculator computes the receiving voltage, efficiency, and regulation.

     
    Ferranti Effect Voltage Calculator( receiving-end voltage)
    Previous
    Projectile Motion Trajectory Calculato(time of flight, maximum height, range)
    Next