effective power

Assume the terminal variables on a passive dipole (terminal voltage u(t) and terminal current i(t) ) are nonsinusoidal periodic time-fuctions:

 
(38)
Again these spectral displays can be represented as the sum of cosine- and sine- elements (applieance of the addition theorem ):  
(39)
For the active power exchange inside the dipole we obtain from:  
(40)
together with the property of orthogonality of the trigonometric function inside the interval of [t0, t0+T]  
(41)

The constant components and the overtones themselves supply the known parts of the total active power exchange in the dipole.

beispiel 6