Critical cases in the optimal power flow

IEEE Transactions on Power Systems

Volumn 11, Issue 3, 1996, Pages 1509-1518

  Almeida, Katia C ^a   Galiana, Francisco D ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Loss of local feasibility; Loss of local optimality; Optimal power flow; Parameter variation

Indexed keywords

ALGORITHMS; HEURISTIC METHODS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; OPTIMIZATION; PROBLEM SOLVING;

LOSS OF LOCAL FEASIBILITY; LOSS OF LOCAL OPTIMALITY; OPTIMAL POWER FLOW; PARAMETER VARIATION;

ELECTRIC LOAD FLOW;

EID: 0030216350     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/59.535692     Document Type: Article

References (16)

1. Carpentier, J.L.; "Contribution àl'Étude du Dispatching Économique". Bulletin de la Société Française des Electriciens, Ser. 8, Vol. 3, 1962, pp. 431-447.
2. Stott, B.; Alsaç, O. andMonticelli, A.I; "Security Analysis and Optimization". Proceedings of the IEEE, Vol. 75, No. 12, December 1987, pp. 1623-1644.
3. Alsaç, O.; Bright, J; Frais, M. and Stott, B.; "Further Developments in IP-Based Optimal Power Flow". IEEE Trans, on Power Systems, Vol. 5, No. 3, August 1990, pp. 697-711.
4. Sun D.I, Hu, T.-I; Lin, G.-S; Lin, C.-J and Chen, C.-M.; "Experiences with Implementing Optimal Power Flow for Reactive Scheduling in the Taiwan Power System". IEEE Trans, on Power Systems, Vol. 3, No. 3, August 1988, pp. 1193-1120.
5. Monticelli, A. and Liu, W.-H.E.; "Adaptative Movement Penalty Function for the Newton Optimal Power Flow". IEEE Trans, on Power Systems, Vol. 7, No. 1, February 1992, pp. 334-342.
6. Venkatesh, S.V.; Liu, W.-H.E. andPapalexopoulos, A.D.; "A Least Squares Solution for Optimal Power Flow Sensitivity Calculation". IEEE Trans, on Power Systems, Vol. 7, No. 3, August 1992, pp. 1394-1401.
7. [71 Almeida, K.C.; Galiana, F.D. and Scares, S.; "A General Parametric Optimal Power Flow". IEEE Trans, on Power Systems, Vol. 9, No. 1, February 1994, pp. 540-547.
8. Almeida, K.C.; Galiana, F.D. and Scares, S.; "A Nonlinear Parametric Approach for Optimal Load Tracking". Proc. of the llth Power Systems Computation Conference, Avignon, France, August 1993, pp. 1257-1264.
9. Luenberger, D; Linear and Nonlinear Optimization Second Edition. Addison-Wesley, 1984.
10. Garcia, C.B. and Zangwill, W.I.; Pathways to Solutions, Fixed Points and Equilibria. Prentice Hall, 1981.
11. Guddat, I, Guerra Vazquez, F. and Jongen, H.Th.;Parametric Optimization: Singularities, Pathfollowing and Jumps, John Wiley & Sons, 1990.
12. Kojima, ML; "Strongly Stable Stationary Solutions in Nonlinear Programs". Proc. of the Symposium of Analysis and Computation of Fixed Points, Madison, USA, 1979, pp. 93-138.
13. Almeida, K C. ; A General Parametric Optimal Power Flow. Ph.D. Thesis, Dept, of Electrical Engineering, McGill University, 1995.
14. Stevenson, W.DJr. Elements of Power System Analysis Second Edition. McGraw-Hill, 1962.
15. Jongen, H.Th.; Jonker, P. and Twilt, F.; "Critical Sets in Parametric Optimization". Mathematical Programming, No.34, 1986, pp. 333-353.
16. Galiana, F.D. and Zeng, Z.C.; "Analysis of the Load Flow Behaviour Near a Jacobian Singularity". IEEE Trans, on Power Systems, Vol. 7, No. 3, August 1992, pp. 13621369.