A primal-dual interior point method for optimal power flow dispatching

IEEE Transactions on Power Systems

Volumn 17, Issue 3, 2002, Pages 654-662

  Jabr, Rabih A ^a   Coonick, Alun H ^b   Cory, Brian J ^b  

^a NOTRE DAME UNIVERSITY   (Lebanon)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Optimization methods; Power generation dispatching; Second order condition; Step length control

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; COMPUTATIONAL COMPLEXITY; ELECTRIC POWER GENERATION; ELECTRIC TRANSFORMERS; LAGRANGE MULTIPLIERS; OPTIMIZATION;

POWER FLOW DISPATCHING; PRIMAL-DUAL INTERIOR POINT METHOD; SECOND-ORDER CONDITION; STEP LENGTH CONTROL;

ELECTRIC LOAD DISPATCHING;

EID: 0036699874     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2002.800870     Document Type: Article

References (24)

1. Y. C. Wu, A. S. Debs, and R. E. Marsten, "A direct nonlinear predictor-corrector primal-dual interior point algorithm for optimal power flows," IEEE Trans. Power Syst., vol. 9, pp. 876-883, May 1994.
2. Y. C. Wu, A. S. Debs, and R. E. Marsten, "A nonlinear programming approach based on an interior point method for optimal power flows," in Proc. IEEE/NTUA Athens Power Tech. Conf., Athens, Greece, Sept. 5-8, 1993, pp. 196-200.
3. S. Granville, "Optimal reactive dispatch through interior-point methods," IEEE Trans. Power Syst., vol. 9, pp. 136-146, Feb. 1994.
4. H. Wei, H. Sasaki, J. Kubakawa, and R. Yokoyama, "An interior point nonlinear programming for optimal power flow problems with a novel data structure," IEEE Trans. Power Syst., vol. 13, pp. 870-877, Aug. 1998.
5. G. L. Torres and V. H. Quintana, "An interior-point method for nonlinear optimal power flow using voltage rectangular coordinates," IEEE Trans. Power Syst., vol. 13, pp. 1211-1218, Nov. 1998.
6. E. D. Castronuovo, J. M. Campagnolo, and R. Salgado, "Optimal power flow solutions via interior point method with high-performance computation techniques," in Proc. 13th PSCC in Trondheim, June 28-July 2, 1999, pp. 1207-1213.
7. R. Fletcher, Practical Methods of Optimization. New York: Wiley, 1987.
8. D. G. Luenberger, Nonlinear Programming, 2nd ed. Reading, MA: Addison-Wesley, 1984.
9. K. C. Almeida, F. D. Galliana, and S. Soares, "A general parametric power flow," IEEE Trans. Power Syst., vol. 9, pp. 540-547, Feb. 1994.
10. N. J. Higham, "Computing a nearest symmetric positive semidefinite matrix," Lin. Alg. Appl., vol. 103, pp. 103-118, 1988.
11. M. S. Bazaraa and C. M. Shetty, Nonlinear Programming-Theory and Algorithms. New York: Wiley, 1979.
12. M. R. Irving and M. J. H. Sterling, "Economic dispatch of active power by quadratic programming using a sparse linear complementary algorithm," Electric. Power Energy Syst., vol. 7, pp. 2-6, Jan. 1985.
13. R. A. Jabr and A. H. Coonick, "Homogeneous interior point method for constrained power scheduling," Proc. Inst. Elect. Eng., Gener. Transm. Distrib., pt. C, vol. 147, no. 4, pp. 239-244, 2000.
14. J. J. Grainger and W. D. Stevenson, Power System Analysis. New York: McGraw-Hill, 1994.
15. A. V. Fiacco and G. P. McCormick, Nonlinear Programming: Sequential Unconstrained Minimization Techniques. New York: Wiley, 1968.
16. A. S. El-Bakry, R. A. Tapia, T. Tsuchiya, and Y. Zhang, "On the formulation and theory of Newton interior point method for nonlinear programming," J. Optim. Theory Appl., vol. 89, pp. 507-541, June 1996.
17. D. M. Gay, M. L. Overton, and M. H. Wright, "A primal-dual interior method for nonconvex nonlinear programming," Computing Sciences Research Center, Bell Laboratories, Murray Hill, NJ, Tech. Rep. 97-4-08, July 1997.
18. R. J. Vanderbei and D. F. Shanno, "An interior-point algorithm for non-convex nonlinear programming," Statistics and Operations Research, Princeton Univ., Princeton, NJ, Tech. Rep. SOR-97-21, 1997.
19. Matlab User's Guide. Natick, MA: The MathWorks, Inc., 1996.
20. R. Fletcher and S. Leyffer, "Nonlinear programming without a penalty function," Univ. of Dundee, Dundee, U.K., Numeric. Anal. Rep. NA/171, Sept. 22, 1997.
21. R. M. Chamberlain, M. J. D. Powell, C. Lemarechal, and H. C. Pedersen, "The watchdog technique for forcing convergence in algorithms for constrained optimization," Math. Prog. Study 16, pp. 1-17, 1982.
22. S. J. Wright, Primal Dual Interior Point Methods. Philadelphia, PA: SIAM, 1997.
23. S. Mehrotra, "On the implementation of a primal-dual interior point method," SIAM J. Optim., vol. 2, pp. 575-601, 1992.
24. I. J. Lustig, R. E. Marsten, and D. F. Shanno, "On implementing Mehrotra's predictor-corrector interior-point method for linear programming," SIAM J. Optim., vol. 2, no. 3, pp. 435-449, 1992.