Power (physics) - Peak Power and Duty Cycle

Peak Power and Duty Cycle

In the case of a periodic signal of period, like a train of identical pulses, the instantaneous power is also a periodic function of period . The peak power is simply defined by:

$P_0 = \max$ .

The peak power is not always readily measurable, however, and the measurement of the average power is more commonly performed by an instrument. If one defines the energy per pulse as:

$\epsilon_\mathrm{pulse} = \int_{0}^{T}p(t) \mathrm{d}t \,$

then the average power is:

$P_\mathrm{avg} = \frac{1}{T} \int_{0}^{T}p(t) \mathrm{d}t = \frac{\epsilon_\mathrm{pulse}}{T} \,$ .

One may define the pulse length such that so that the ratios

$\frac{P_\mathrm{avg}}{P_0} = \frac{\tau}{T} \,$

are equal. These ratios are called the duty cycle of the pulse train.

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