So the formulae seem to be okay but one thing surprises me that why they are not mentioned anywhere. I tried to search them everywhere but couldn't find. They were just made up...?

I proved it for Z=R+jX although my head started spinning after seeing all that math and formulas again! Please see here.

I believe that the purpose of the formulae, at least the case α=β=2, is to be able to find the power for any other voltage_rms value other than nominal or rated voltage_rms value in a rather straightforward manner.

Does α=β=0 signify the case of constant power?

I'll try to prove α=β=1 case later today. Thank you.

Helpful links:

Types of loads: constant current, constant power, constant impedance, constant voltage

1: https://electronics.stackexchange.c...t-constant-power-and-constant-impedance-loads

2: http://forums.mikeholt.com/showthread.php?t=185166

3: https://books.google.com/books?id=lQPeDAAAQBAJ&pg=PA3&dq="constant+voltage+load"&hl=en&sa=X&ved=0ahUKEwiLq4GRwpnWAhVO22MKHarkCiQQ6AEIKDAA#v=onepage&q&f=false

I proved it for Z=R+jX although my head started spinning after seeing all that math and formulas again! Please see here.

I believe that the purpose of the formulae, at least the case α=β=2, is to be able to find the power for any other voltage_rms value other than nominal or rated voltage_rms value in a rather straightforward manner.

Does α=β=0 signify the case of constant power?

I'll try to prove α=β=1 case later today. Thank you.

Helpful links:

Types of loads: constant current, constant power, constant impedance, constant voltage

1: https://electronics.stackexchange.c...t-constant-power-and-constant-impedance-loads

2: http://forums.mikeholt.com/showthread.php?t=185166

3: https://books.google.com/books?id=lQPeDAAAQBAJ&pg=PA3&dq="constant+voltage+load"&hl=en&sa=X&ved=0ahUKEwiLq4GRwpnWAhVO22MKHarkCiQQ6AEIKDAA#v=onepage&q&f=false

Ratch