First things first I am not an electrical engineer at all so please bear that in mind when you reply/comment.
I am looking at the following problem, I have a power line which connects a windfarm to a consumer.
I make the assumption that the consumer will always be able to consume the power provided by the windfarm.
I assume that the windfarm actual power generation capacity varies between zero and a maximum that is exceeding the capacity of the power line.
My question is: How can I determine the maximum amount of power that can transit through the power line from the windfarm to the consumer before curtailment in required ? or the transmission line upgraded.
So far I have used the following:
where I(Amps) is the maximum current that the line can handle before melting. Vphase is the voltage of the line (lets assume a transmission rated at 400 kv). and pf the power factor of say 0.8.
Using this equation and assuming I is 1000 amps, Vphase 400 kv and pf 0.8, I find that the maximum power that can transit through the line is 692.8 MVA or 554.2 MW.
If that is true (which I suspect it isn't), am I correct in thinking that if the wind blows hard and the windfarm could produce over 554.2 MW then all that excess power capacity would have to be curtailed ?