ELEN435_Exam1_Anderson

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Dec 6, 2023

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Course Exam 1 Submitted by: William Anderson Course: ELEN435 Instructor: James Carmichael Date Submitted: 11/10/2023 Exercises Completed: Power Electronics by Daniel W. Hart Chapter 8 Exercise 8.23, 8.24, and 8.26.

Introduction: Using PSPICE this exam demonstrates how the design of a PWM inverter both single phase and three-phase can be used to calculate multiple different values. Methods: Due to having frequent issues with building these circuits in Multisim. I have decided to use PSPICE for this experiment. Problem 8.23: For part a of the problem I used the Bipolar PWM Inverter project provided and then changed the values to match those given in the problem. Knowing that you have to divide the amplitude by the DC voltage to get the amplitude modulation ratio. For part b of the problem I used the same script, but changed the modulation frequency to 41. For part c of the problem I used the Unipolar PWM Inverter project and then changed the values to match those given in the problem. Knowing that you have to divide the amplitude by the DC voltage to get the amplitude modulation ratio. Problem 8.24: For this problem I used the Inverter Six Step Equivalent project and then changed the values to match those given in the problem. Problem 8.26: I do not know how to solve this problem using PSPICE, so have worked out the answer using hand calculations. Results: Problem 8.23: The circuit was built for part a as seen below in Figure 1

Figure 1: Experiment 8.23 Part a PSPICE Circuit Screenshot The output of the circuit can be seen below in Figure 2 Figure 2: Experiment 8.23 Part a PSPICE Output Screenshot The circuit was built for part a as seen below in Figure 3 Figure 3: Experiment 8.23 Part b PSPICE Circuit Screenshot

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The output of the circuit can be seen below in Figure 4 Figure 4: Experiment 8.23 Part b PSPICE Output Screenshot The circuit was built for part a as seen below in Figure 5 Figure 5: Experiment 8.23 Part c PSPICE Circuit Screenshot

The output of the circuit can be seen below in Figure 6 Figure 6: Experiment 8.23 Part b PSPICE Output Screenshot This completes Problem 8.23. Problem 8.24: The circuit was built for part a as seen below in Figure 7 Figure 7: Experiment 8.24 PSPICE Circuit Screenshot

The output of the circuit can be seen below in Figure 8 Figure 8: Experiment 8.24 PSPICE Output Screenshot This completes Problem 8.24.

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Problem 8.26: For problem 8.26 you can first see that w = 2pi60 = 377 rad/s We can use this to calculate the impedance as 5 + j (377*0.05) = 5+j18.85 Knowing it is wye connected we then need to divide to get an impedance of 1.667 + j6.283 Vout = 10 *(1.667+6.2832) = 31.8 V RMS Vdc = Vout/0.612 = 96 to 191 V At 30 Hz and 96 Volts the peak current is 15.74 Amps and the THD is 58.9%. At 60 Hz and 191 Volts the peak current is 14.69 Amps and the THD IS 85.6%. References: Dr, D. W. H. P. (2010). Power Electronics . McGraw-Hill Education.

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