The RMS Value of a Trapezoidal Waveform – Part 2
Friday, July 23rd, 2010Summary:
In a previous article, How to Derive the RMS Value of Pulse and Square Waveforms, I showed how to derive the RMS value of a pulse signal. In some applications, the trapezoidal signal plateau is not flat, but rather a ramp, as shown in Figure 1. A typical example is a DC-DC converter, where the transformer winding current might look like the signal in Figure 1. The waveform is still considered a trapezoidal waveform. Let’s calculate its RMS value.
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How to Derive the RMS Value of Pulse and Square Waveforms
Sunday, June 13th, 2010Summary:
The RMS value of a pulse waveform can be easily calculated starting with the RMS definition. The pulse waveform is shown in Figure 1. The ratio t1/T is the pulse signal duty-cycle. As shown in other articles in this website (How to Derive the RMS Value of a Trapezoidal Waveform and How to Derive the RMS Value of a Triangle Waveform), the RMS definition is an integral over the signal period as in equation (1).
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