EE369/EE394J-2, Power System Engineering, Fall 04, Dr. Grady

Course Descriptor (pdf)

Sample stability problem

Tests

Test1.pdf, Test2.pdf, Test3.pdf, Test4.pdf, Test5.pdf, Test6.pdf, Test7.pdf, Test8.pdf, Test9.pdf, Test10.pdf, Final Exam.pdf

Homework Assignments

HW1. Due Friday, Sept. 3. Bergen 2.2, 2.3, 2.4, 2.12.
HW2. Due Friday, Sept. 10. Bergen 2.5, 2.6, 2.10, 2.11 2.15.
HW3. Due Friday, Sept. 17. For one circuit of the 345kV double-circuit line shown in Transmission_Line_Constants_PosNegZero.pdf, compute the positive sequence resistance, inductance, and capacitance, per meter of length.
HW4. Due Friday, Sept. 24. EE369_Fall04_HW4.pdf.
HW5. Due Wednesday, Oct. 13. From Bergen Chapter 9. This assignment is to be done by hand instead of on a computer. However, you are encouraged to check your results using program yzbuild (find it on my power system software web page).
  • Prob. 9.4a
  • Prob. 9.5 (check your Y matrix with Dr. Grady)
  • Prob. 9.6, using bifactorization to get L & U (see Grady notes Section 4.5)
  • Prob. 9.7, using L & U to get V (check your V with Dr. Grady)
  • Prob. 9.8 FOR THE ABOVE NETWORK, using L & U to get Z (see Grady notes Section 4.9.3)
  • For practice, take the line 1-3 (series and shunt terms) out of your Y matrix, and then use the definition of individual z elements to get the new Z matrix.
    HW6. Due Friday, Oct. 22, EE369_Fall04_HW6.pdf. Software and data cases PC10000.zip.
    HW7. Due Friday, Oct. 29. Draw (without first looking at the answers!) the zero-sequence networks for problems 11.11 and 11.12 in Grainger_Stevenson_Problems.pdf.
    HW8. Due Friday, Nov. 5.
  • Problems 1 and 2 - repeat SC Problem 1 and SC Problem 2 shown in Grainger_Stevenson_Problems.pdf, but fault bus 5 instead of bus 4.
  • Problem 3. For one circuit of the 345kV transmission line in Transmission_Line_Constants_PosNegZero.pdf, compute the zero sequence resistance, inductance, and capacitance, per meter of length.
    HW9. Due Wednesday, Nov. 17. Bergen 6.2, 6.4. EE369_Fall04_HW9.pdf.

    Graduate Student Project

    Due before the final exam. Write a loadflow program using Stott's algorithm to solve the COA network in PC10000.zip. Remember that the input file impedances, shunt capacitances, shunt reactors, voltage magnitudes, and powers are in percent. Use the language of your choice, but do not use built-in matrix functions. The guidelines are:
  • use full matrix programming (no sparsity),
  • use optimal bus ordering, with Method 1 or 2,
  • employ LU decomposition,
  • assume fixed-tap transformers (allow for off-nominal taps, but do not adjust taps to control voltage),
  • ignore Q limits on generators,
  • have a convergence tolerance of worst-bus absolute P mismatch and worst-bus absolute Q mismatch < 0.0001pu,
  • produce an output file with bus voltage magnitudes and phase angles, and another output file with P,Q flows on each end of transmission lines and transformers.
    It may be necessary to start the solution with Gauss-Seidel.
    Tips.
    Start with the 5-bus example (labeled S5). Files BDAT_S5, LDAT_S5, OPTIONS_S5, YMATRIX_S5, and EXLOG_S5 are in PC10000.zip. Check your ymatrix with Dr. Grady's. Check your pre-iterative worst-bus P and Q mismatches with those in EXLOG_S5. If you converge, your voltage solutions should match those in VSOLN_S5.

    Homework Solutions

    Bergen_2_2.pdf, Bergen_2_3.pdf, Bergen_2_4.pdf, Bergen_2_5.pdf, Bergen_2_6.pdf, Bergen_2_7.pdf, Bergen_2_8.pdf, Bergen_2_10.pdf, Bergen_2_11.pdf, Bergen_2_12.pdf, Bergen_2_15.pdf, EE369_Fall04_HW3.pdf, Bergen_5_4.pdf, Bergen_5_5.pdf, Bergen_5_12.pdf, Bergen_5_15.pdf, Bergen_5_16.pdf, Bergen_5_18.pdf, Bergen_5_19.pdf, Grainger_Stevenson_Problems.pdf, EE369_Fall04_HW4.pdf, EE369_Fall04_HW5.pdf, EE369_Fall04_HW9.pdf.

    Notes

    Phasor Diagrams for Machines in Steady-State and Transient Conditions (pdf)
    Notes on Swing Equation and Equal-Area Criterion (pdf)