A three-phase Y-A transformer is rated 225-kv: 24-kv, 400 MVA and has a single-phase equivalent series reactance of 6.08 Ω as referred to its high-voltage terminals. The transformer is supplying a load of 375 MVA at 0.89 power factor leading at a voltage of 24 kV (line to line) on its low-voltage side. It is supplied from a feeder whose impedance is 0.17 +/2.2 Ω connected to its high-voltage terminals. For these conditions; 3. i. draw the per-phase equivalent circuit diagram
ii. draw the per-phase phasor diagram
iii. calculate:
a. The line-to-line voltage at the high-voltage terminals of the transformer
b. The line-to-line voltage at the sending end of the feeder.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?