Piecewise linear approximation of generators cost functions using max-affine functions

IEEE Power and Energy Society General Meeting

Volumn , Issue , 2013, Pages

  Ahmadi, Hamed ^a   Marti, Jose R ^a   Moshref, Ali ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b Power Systems and Testing   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDED DOMAIN; COMPUTATION BURDEN; LINEAR FUNCTIONS; MULTIVARIATE FUNCTION; NONLINEAR FUNCTIONS; PIECEWISE LINEAR APPROXIMATIONS; POWER SYSTEM OPTIMIZATION;

PIECEWISE LINEAR TECHNIQUES;

COST FUNCTIONS;

EID: 84893187712     PISSN: 19449925     EISSN: 19449933     Source Type: Conference Proceeding    
DOI: 10.1109/PESMG.2013.6672353     Document Type: Conference Paper

References (12)

1. Y.-C. Wu, A. S. Debs, and R. E. Marsten, "A direct nonlinear predictorcorrector primal-dual interior point algorithm for optimal power flows", IEEE Trans. Power Syst., vol. 9, no. 2, pp. 876-883, May 1994.
2. A. A. Sousa, G. L. Torres, and C. A. Cañizares, "Robust optimal power flow solution using trust region and interior-point methods", IEEE Trans. Power Syst., vol. 26, no. 2, pp. 487-499, May 2011.
3. M. Carrion and J. M. Arroyo, "A computationally efficient mixed-integer linear formulation for the thermal unit commitment problem", IEEE Trans. Power Syst., vol. 21, no. 3, pp. 1371-1378, Aug. 2006.
4. A. Frangioni, C. Gentile, and F. Lacalandra, "Tighter approximated MILP formulations for unit commitment problems", IEEE Trans. Power Syst., vol. 24, no. 1, pp. 105-113, Feb. 2009.
5. A. Viana and J. P. Pedroso, "A new MILP-based approach for unit commitment in power production planning", Int. Jour. Elect. Power & Energy Syst., vol. 44, no. 1, pp. 997-1005, Jan. 2013.
6. L. Wu, "A tighter piecewise linear approximation of quadratic cost curves for unit commitment problems", IEEE Trans. Power Syst., vol. 26, no. 4, pp. 2581-2583, Nov. 2011.
7. A. Magnani and S. Boyd, "Convex piecewise-linear fitting", Optimization and Engineering, vol. 10, no. 1, pp. 1-17, 2009.
8. "The General Algebraic Modeling System (GAMS)." [Online]. Available: http://www.gams.com
9. *", IEEE Trans. Power Syst., vol. 20, no. 3, pp. 1538-1550, Aug. 2005.
10. "IBM ILOG CPLEX optimization studio." [Online]. Available: http://www-01.ibm.com/software/integration/optimization/cplexoptimization-studio
11. H. Ahmadi and H. Ghasemi, "Probabilistic optimal power flow incorporating wind power using point estimate methods", in 10th Int. Conf. Envir. Elec. Eng. (EEEIC), Rome, Italy, May 2011, pp. 1-5.
12. M. Khanabadi, H. Ghasemi, and M. Doostizadeh, "Optimal transmission switching considering voltage security and N-1 contingency analysis", IEEE Trans. Power Syst., vol. Early Access, no. 99, pp. 1-9, 2012.