I'm a person who has significant trouble with all the math and formulas involved with wind power (maybe because i can't figure out which formulas that can even be used in this event) so can someone walk me through how to solve these problems:
1. A transmission line is providing 800 MW at 900 Amps. Calculate the operating voltage, in kilovolts, to 2 significant digits.
2. The transmission line in problem 1 has a total resistance 6.25 Ω. What is the power lost, expressed as a percent of the total 800 MW?
3. You mount a turbine 10 feet about the ground. Your neighbor puts up a 90 foot tower where the wind speed is 25% higher. The power available at the 90 foot tower is how many times larger than the power at the 10 foot tower?
1. Megawatt is a unit of power, amperes are a unit of current. Power = Voltage * Current, so 800,000,000 Watts = (voltage) * 900 amps. Voltage (in volts) equals 800,000,000 divided by 900 = 89,000 volts, which is 89 kilovolts.
#2 involves combining Ohm's law (current = voltage / resistance) and power=voltage*current. Essentially just plug it in, power = voltage^2 / resistance; this gives the "power" (as heat) produced by the resistor (the transmission wire). Strangely, calculating this out gives me 1,267,000,000 watts, which is actually a larger amount than the 800 MW. Dividing the two will get you 158.42%. I'm not entirely certain whether this is a valid answer since I haven't done these problems in a while; someone else can confirm these two.
3. I have no idea how to do this one, I suspect it relates to some formulas specific to the event (the rest of the stuff is general electromagnetism).
(someone please correct me if I'm wrong, it's been well over a year since I've done this stuff)