How to Calculate the MVA Rating of a Shunt Reactor for a Transmission Line?

What is the MVA rating of a shunt reactor required to maintain 275 kV at the receiving-end of a no-load transmission line with given parameters? The MVA rating of the shunt reactor required to maintain 275 kV at the receiving-end of the no-load transmission line is 190.625 MVA.

Understanding MVA Rating Calculation for a Shunt Reactor

Reactive Power Compensation Calculation:

To determine the MVA rating of a shunt reactor needed to maintain 275 kV at the receiving-end of a no-load transmission line, we need to calculate the reactive power compensation required.

Line Parameters Conversion:

Given the line parameters of resistance, inductance, and capacitance per phase, we convert them to per-unit values using the line length of 400 km.

Voltage Drop Calculation:

We calculate the voltage drop due to the line's reactance using the per-unit values and the line voltage of 275 kV.

Reactive Power Compensation Formula:

By using the formula Q = V^2 / X, where Q is the reactive power, V is the line voltage, and X is the reactance, we can determine the reactive power compensation required.

Final Calculation:

Substituting the values into the formula, we get Q = (275 kV)^2 / (1 mH/km x 400 km) = 190625 kVAR, which corresponds to an MVA rating of 190.625 MVA for the shunt reactor.

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