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A small manufacturing plant is located 2 km down a transmission line, which has a series...

A small manufacturing plant is located 2 km down a transmission line, which has a series reactance of 0.5 ?/km. The line resistance is negligible. The line voltage in the plant is 480?0 V and the plant consumes 120 kW at 0.85 power factor lagging.

• Determine the voltage and power factor at the sending end of the transmission line.

• Find the parallel capacitor bank in kVAr that enhance the power factor to unity. Assume the plant voltage is 480?0 V and the capacitor bank comes in delta connection.

• Find the change of the current in percent of original current after installing the capacitor bank

• Now assume the sending end voltage is 480?0 V. Find the the capacitor bank that make the voltage at receiving end equal the voltage at sending end. In that condition, what is the power factor in the sending end?

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