Let's clarify some transformer ideas.
A transformer has an inductance produced by the primary of it, and this value if we analyze represents about 3 to 5 % of the energy into the transformer.
Let's say that we have a 1 KW transformer to be attached to a wind mill producing 240 volts at its peak RPM ( like for 12.5 m/s)and 60 HZ output.
Let's assume that it has 3 % losses due to the winding inductance --I am not considering the Resistive losses --.
The inductance of the transformer represents in this case 30 watts RMS with peak power of 30 * 1.41 = 42.3
We use the standard formula for an inductor V= L*di / dt
V= 240 * 1.41= 338 volts
dI = 42.3 / 338 amps = 125.15E^-3 amps
dt = 1 / 60 * 4 = 1 / 240 = 4.17 milliseconds
We use the peak of the sine wave to find the inductance value
V= L * di / dt ; L = V * dT / DI ;
L = ( 338 * 4.17E^-3)* 338 / 42.3 = 11.26 Henrys
Let's say that the wind mills tarted to produce 1/2 of the voltage and 1/2 the frequency, logical since the RPM has dropped to 1/2
V1= 120 Vrms = 169 Vpeak
Frequency = 30 hz ; peak time = 1 /(30 * 4) = 1 /120 = 8.33E^-3 seconds
Let's calculate the inductance current
V= L * dI / dT ; dI = V * dT / L= 169*8.3E^-3 / 11.26 = 125E^-3 amps
SAME AS BEFORE
The transformer under a wind mill voltage generation with variable input voltage and frequency defined by the wind mill parameters will have the same power losses within certain broad operating range.
The only consideration left is to define the resistive value of the transformer to allow the wind mill to cut in.
The next step is to define at what input voltage the system will start using the energy and this requires a decision for transformer conversion via tap setting of the output winding if full isolation is required.
Another way is to use 1, 2 or 3 transformer in series with selective shorting of transformer inputs and parallel rectified output to obtain the desired output voltage.
I have done 3 transformers in series for 380 volts wind mills with output to charge 48 volts batteries .( 9 transformers for 3 phase)
Or 3 transformer with taps ( 3 phase wind mill) to obtain the desired output for 120 volts batteries.
Nando