The load current waveform of the variable-speed motor drive depicted in Figure 15.16-1c

Chapter 15, Problem P15.6-2

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QUESTION:

The load current waveform of the variable-speed motor drive depicted in Figure 15.16-1c is shown in Figure P 15.6-2. The current waveform is a portion of A sin \(\omega_0\)t. Determine the Fourier series of this waveform and draw the line spectra of l\(C_n\)l for the first 10 terms.

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QUESTION:

The load current waveform of the variable-speed motor drive depicted in Figure 15.16-1c is shown in Figure P 15.6-2. The current waveform is a portion of A sin \(\omega_0\)t. Determine the Fourier series of this waveform and draw the line spectra of l\(C_n\)l for the first 10 terms.

ANSWER:

Step 1 of 11

It can be seen that the given current waveform is an odd function and it also exhibits half-wave symmetry. This waveform can be represented over the interval  by

                                

                        

                                

                        and  for all n

       

 

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