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Electrical Engineering

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Apr 3, 2024

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University of Michigan EECS 534: Analysis of Electric Power Distribution Systems & Loads Fall 2022 Homework 3 Assigned: Tuesday, October 4, 2022 Due: Wednesday, October 19, 2022, 11:59pm (upload to Canvas) Readings: Kersting Chapters 6-7 Problems: 1. (i) Kersting Problem 6.1. The MATLAB file kers61matrices.m contains the matri- ces [ z abc ] and [ y abc ] (so you do not have to type them out yourself). Note that the [ y abc ] given in the problem statement is different than the solution to Problem 5.1. The MATLAB file contains the [ y abc ] that corresponds to Problem 5.1. (ii) Repeat Kersting Problem 6.1, but use the modified line model. (iii) Kersting Problem 6.4 (i.e., repeat Kersting Problem 6.1, but use the approximate line model). Note: If you do part (i) using MATLAB (or a similar software tool), it is easy to modify your code and obtain the solutions to parts (ii) and (iii). 2. Implement Kersting Example 6.5 in MATLAB (or a similar software tool), but use the 2 mile long three-phase line from Kersting 6.1 (so you can use the generalized line matrices you computed in Problem 1(i)). Include a print-out of your code with your solutions. (a) Generate two figures showing the convergence of the load voltage magnitudes and load current magnitudes to the correct values. Specifically, in the first figure, plot the load voltage magnitudes as a function of iteration number. In the second figure, plot the load current magnitudes as a function of the iteration number. Include a legend distinguishing the voltage/current in each phase. (b) Report the numerical values for the three-phase load voltage, three-phase load current, and the three-phase source current (including both the magnitudes and angles). 3. Kersting Problem 6.8. 4. (i) Kersting Problem 7.1. (ii) Kersting Problem 7.2 (b)-(e). 1

5. Read “How to Build a More Resilient Power Grid” by David Wagman: https:// spectrum.ieee.org/learning-from-grid-failures-a-conversation-with-nicholas- abisamra and answer the following questions. Use your own words and type your responses . (a) What is “grid resiliency”? (b) List 5 things we could do to make the grid more resilient, and discuss the relative effectiveness and cost of each option. You may need to look for sources beyond this article. If so, include full citations. (c) In light of the immense damage to the grid caused by recent hurricanes such as Fiona and Ian, what actions do you think we should prioritize to improve grid resiliency? 2

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