Dielectric loss under transient excitation

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Abstract
The author gives a simple analysis of the flow of energy into and out of a dielectric under a charging or discharging voltage varying as a linear ramp in time with a variable rate. The limit of an infinitely steep rise gives the step function response, the other extreme corresponds to 'infinitely slow' response. It is shown that step function charging causes the loss of as much energy as is ultimately stored in equilibrium under constant field and analytical expressions are derived for the loss under conditions of a finite rate of rise and fall of the ramp. The results imply potentially very high dissipation of energy under transient conditions and a discussion is given of the practical implications of this.

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