2. The de source supplying a single-phase inverter with is 99 V. The load is an R. L series combination with R=30 N and L=20 mH. The converter is controlled by PWM switching scheme. The output voltage has a fundamental frequency of 50 Hz. (a) Specify amplitude modulation ratio ma to provide a 42-V rms output voltage at the fundamental frequency (b) If frequency modulation ratio mƒ is 17, using the harmonics table, determine THD of the load current Vn Vdc Note: The normalized Fourier Coefficients V for bipolar PWM is given in Tab below (see also Table 8-3 in textbook). in text book indicates the first harmonics in the output for bipolar PWM. Hence, for n = mf (nth harmonic ) m₁ = Vf. (Note that ma related to the n = 1, n = mƒ, and n = mƒ ‡ 2 are given in Table 8-3 below) Vdc

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2. The de source supplying a single-phase inverter with is 99 V. The load is an R. L series combination with
R=30 N and L=20 mH. The converter is controlled by PWM switching scheme. The output voltage
has a fundamental frequency of 50 Hz.
(a) Specify amplitude modulation ratio ma to provide a 42-V rms output voltage at the fundamental
frequency
(b) If frequency modulation ratio mƒ is 17, using the harmonics table, determine THD of the load
current
Vn
Note: The normalized Fourier Coefficients V for bipolar PWM is given in Tab below (see also Table
Vdc
8-3 in textbook). in text book indicates the first harmonics in the output for bipolar PWM. Hence, for
n = mf (nth harmonic ) m₁ = Vmf. (Note that må related to the n = 1, n = mƒ, and n = mf = 2 are
given in Table 8-3 below)
Vdc
Table Q1(a): Normalized Fourier Coefficients Vn/VDc for Bipolar PWM
ma
1
0.9 0.8 0.7
1.00
0.90 0.80 0.70
0.6 0.5 0.4 0.3 0.2 0.1
0.60 0.50 0.40 0.30 0.20 0.10
1.15 1.20 1.24 1.27
0.60
0.71
0.82 0.92
1.01
1.08
0.32 0.27 0.22 0.17 0.13 0.09
0.06 0.03 0.02 0.00
n = 1
n = mf
n = mf ± 2
Transcribed Image Text:2. The de source supplying a single-phase inverter with is 99 V. The load is an R. L series combination with R=30 N and L=20 mH. The converter is controlled by PWM switching scheme. The output voltage has a fundamental frequency of 50 Hz. (a) Specify amplitude modulation ratio ma to provide a 42-V rms output voltage at the fundamental frequency (b) If frequency modulation ratio mƒ is 17, using the harmonics table, determine THD of the load current Vn Note: The normalized Fourier Coefficients V for bipolar PWM is given in Tab below (see also Table Vdc 8-3 in textbook). in text book indicates the first harmonics in the output for bipolar PWM. Hence, for n = mf (nth harmonic ) m₁ = Vmf. (Note that må related to the n = 1, n = mƒ, and n = mf = 2 are given in Table 8-3 below) Vdc Table Q1(a): Normalized Fourier Coefficients Vn/VDc for Bipolar PWM ma 1 0.9 0.8 0.7 1.00 0.90 0.80 0.70 0.6 0.5 0.4 0.3 0.2 0.1 0.60 0.50 0.40 0.30 0.20 0.10 1.15 1.20 1.24 1.27 0.60 0.71 0.82 0.92 1.01 1.08 0.32 0.27 0.22 0.17 0.13 0.09 0.06 0.03 0.02 0.00 n = 1 n = mf n = mf ± 2
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