Please answer help for "c" and "d". The total power delivered to a balanced three-phase load when operating at a line voltage of 2400√3V is 720 kW at a lagging power factor of 0.8. The impedance of the distribution line supplying the load is 0.8 + j6.4Ω/ϕ. Under these operating conditions, the drop in the magnitude of the line voltage between the sending end and the load end of the line is excessive. To compensate, a bank of Y-connected capacitors is placed in parallel with the load. The capacitor bank is designed to furnish 576 kVAR of magnetizing reactive power when operated at a line voltage of 2400√3V. a. What is the magnitude of the voltage at the sending end of the line when the load is operating at a line voltage of 2400√3V and the capacitor bank is disconnected? b. Repeat (a) with the capacitor bank connected. c. What is the average power efficiency of the line in (a)? d. What is the average power efficiency in (b)?
Short Transmission Line
A short transmission line is a transmission line that has a length less than 80 kilometers, an operating voltage level of less than 20 kV, and zero capacitance effect.
Power Flow Analysis
Power flow analysis is a topic in power engineering. It is the flow of electric power in a system. The power flow analysis is preliminary used for the various components of Alternating Current (AC) power, such as the voltage, current, real power, reactive power, and voltage angles under given load conditions and is often known as a load flow study or load flow analysis.
Complex Form
A power system is defined as the connection or network of the various components that convert the non-electrical energy into the electric form and supply the electric form of energy from the source to the load. The power system is an important parameter in power engineering and the electrical engineering profession. The powers in the power system are primarily categorized into two types- active power and reactive power.
Please answer help for "c" and "d".
The total power delivered to a balanced three-phase load when operating at a line voltage of 2400√3V is 720 kW at a lagging power factor of 0.8. The impedance of the distribution line supplying the load is 0.8 + j6.4Ω/ϕ. Under these operating conditions, the drop in the magnitude of the line voltage between the sending end and the load end of the line is excessive. To compensate, a bank of Y-connected capacitors is placed in parallel with the load. The capacitor bank is designed to furnish 576 kVAR of magnetizing reactive power when operated at a line voltage of 2400√3V.
a. What is the magnitude of the voltage at the sending end of the line when the load is operating at a line
voltage of 2400√3V and the capacitor bank is disconnected?
b. Repeat (a) with the capacitor bank connected.
c. What is the average power efficiency of the line in (a)?
d. What is the average power efficiency in (b)?
e. If the system is operating at a frequency of 60 Hz, what is the size of each capacitor in microfarads?
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