A Linear-Programming Approximation of AC Power Flows

References

• Ajjarapu V, Lau PL, Battula S (1994) An optimal reactive power planning strategy against voltage collapse. IEEE Trans. Power Systems 9:906–917.Crossref, Google Scholar
• Aniruddha B, Chattopadhyay PK (2010) Solution of optimal reactive power flow using biogeography-based optimization. Internat. J. Electronics and Electrical Engrg. 4:568–576.Google Scholar
• Bienstock D, Mattia S (2007) Using mixed-integer programming to solve power grid blackout problems. Discrete Optim. 4:115–141.Crossref, Google Scholar
• Bienstock D, Verma A (2010) The n–k problem in power grids: New models, formulations, and numerical experiments. SIAM J. Optim. 20:2352–2380.Crossref, Google Scholar
• Bixby RE, Fenelon M, Gu Z, Rothberg E, Wunderling R (2000) MIP: Theory and practice—Closing the gap. Powell MJD, Scholtes S, eds. System Modelling and Optimization: Methods, Theory, and Applications (Kluwer Academic Publishers, Dordrecht, The Netherlands), 19–49.Crossref, Google Scholar
• Borghetti A, Nucci CA, Paolone M (2011) A mixed integer linear programming approach to the optimal configuration of electrical distribution networks with embedded generators. Proc. 17th Power Systems Computation Conf. (PSCC'11), Stockholm, Sweden.Google Scholar
• Coffrin C, Van Hentenryck P, Bent R (2011) Strategic stockpiling of power system supplies for disaster recovery. Proc. 2011 IEEE Power Energy Soc. General Meetings (PES), Detroit.Crossref, Google Scholar
• Coffrin C, Van Hentenryck P, Bent R (2012a) Approximating line losses and apparent power in AC power flow linearizations. Proc. 2012 IEEE Power Energy Soc. General Meetings (PES), San Diego.Crossref, Google Scholar
• Coffrin C, Van Hentenryck P, Bent R (2012b) Smart load and generation scheduling for power system restoration. Proc. 2012 IEEE Power Energy Soc. General Meetings (PES), San Diego.Google Scholar
• Deeb N, Shahidehpour SM (1990) Linear reactive power optimization in a large power network using the decomposition approach. IEEE Trans. Power Systems 5:428–438.Crossref, Google Scholar
• Delfanti M, Granelli GP, Marannino P, Montagna M (2000) Optimal capacitor placement using deterministic and genetic algorithms. IEEE Trans. Power Systems 15:1041–1046.Crossref, Google Scholar
• dos Santos A Jr, Franca PM, Said A (1989) An optimization model for long-range transmission expansion planning. IEEE Trans. Power Systems 4:94–101.Crossref, Google Scholar
• Fisher EB, O'Neill RP, Ferris MC (2008) Optimal transmission switching. IEEE Trans. Power Systems 23:1346–1355.Crossref, Google Scholar
• Gomez-Exposito A, Conejo AJ, Canizares C (2008) Electric Energy Systems: Analysis and Operation (Electric Power Engineering Series) (CRC Press, Boca Raton, FL).Crossref, Google Scholar
• Grainger J, Stevenson W Jr (1994) Power System Analysis (McGraw-Hill, New York).Google Scholar
• Granville S (1994) Optimal reactive dispatch through interior point methods. IEEE Trans. Power Systems 9:136–146.Crossref, Google Scholar
• Hedman KW, O'Neill RP, Fisher EB, Oren SS (2009) Optimal transmission switching with contingency analysis. IEEE Trans. Power Systems 24:1577–1586.Crossref, Google Scholar
• Huang Y-C, Yang H-T, Huang C-L (1996) Solving the capacitor placement problem in a radial distribution system using tabu search approach. IEEE Trans. Power Systems 11:1868–1873.Crossref, Google Scholar
• Hughes A, Jee G, Hsiang P, Shoults RR, Chen M-S (1981) Optimal reactive power planning. IEEE Trans. Power Apparatus Systems PAS-100:2189–2196.Crossref, Google Scholar
• Jabr RA (2008) Optimal placement of capacitors in a radial network using conic and mixed integer linear programming. Electric Power Systems Res. 78:941–948.Crossref, Google Scholar
• Khodaei A, Shahidehpour M (2010) Transmission switching in security-constrained unit commitment. IEEE Trans. Power Systems 25:1937–1945.Crossref, Google Scholar
• Kirschen DS, Van Meeteren HP (1988) Mw/voltage control in a linear programming based optimal power flow. IEEE Trans. Power Systems 3:481–489.Crossref, Google Scholar
• Knight UG (1972) Power Systems Engineering and Mathematics (Pergamon Press, New York).Google Scholar
• Koster AMCA, Lemkens S (2011) Designing AC power grids using integer linear programming. Pahl J, Reiners T, Voß S, eds. Network Optimization, Lecture Notes in Computer Science, Vol. 6701 (Springer, Berlin), 478–483.Crossref, Google Scholar
• Lavaei J, Low SH (2012) Zero duality gap in optimal power flow problem. IEEE Trans. Power Systems 27:92–107.Crossref, Google Scholar
• Lee FN, Huang J, Adapa R (1994) Multi-area unit commitment via sequential method and a DC power flow network model. IEEE Trans. Power Systems 9:279–287.Crossref, Google Scholar
• Lee KY, Yang FF (1998) Optimal reactive power planning using evolutionary algorithms: A comparative study for evolutionary programming, evolutionary strategy, genetic algorithm, and linear programming. IEEE Trans. Power Systems 13:101–108.Crossref, Google Scholar
• Lesieutre BC, Molzahn DK, Borden AR, DeMarco CL (2011) Examining the limits of the application of semidefinite programming to power flow problems. 49th Annual Allerton Conf. Comm., Control, and Comput. (Allerton), 1492–1499.Crossref, Google Scholar
• Lofberg J (2004) YALMIP: A toolbox for modeling and optimization in MATLAB. Proc. IEEE Internat. Sympos. Comput. Aided Control Systems Design (IEEE, Piscataway, NJ), 284–289.Crossref, Google Scholar
• Mangoli MK, Lee KY, Park YM (1993) Optimal long-term reactive power planning using decomposition techniques. Electric Power Systems Res. 26:41–52.Crossref, Google Scholar
• Miller J (2011) Power system optimization smart grid, demand dispatch, and microgrids, http://www.alrc.doe.gov/smartgrid/referenceshelf/ presentations/SE%20Dist%20Apparatus%20School_Final_082911_rev2.pdf.Google Scholar
• Mittelmann H (2012) Benchmarks for optimization software. Accessed April 22, 2012, http://plato.asu.edu/bench.html.Google Scholar
• Momoh JA (2001) Electric Power System Applications of Optimization (Power Engineering (Willis)) (CRC Press, Boca Raton, FL).Google Scholar
• Momoh JA, Adapa R, El-Hawary ME (1999a) A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches. IEEE Trans. Power Systems 14:96–104.Crossref, Google Scholar
• Momoh JA, El-Hawary ME, Adapa R (1999b) A review of selected optimal power flow literature to 1993. II. Newton, linear programming and interior point methods. IEEE Trans. Power Systems 14:105–111.Crossref, Google Scholar
• Munoz JRA (2008) Analysis and application of optimization techniques to power system security and electricity markets. Unpublished doctoral dissertation, University of Waterloo, Ontario, Canada.Google Scholar
• Ott A (2010) Unit commitment in the PJM day-ahead and real-time markets. Accessed April 22, 2012, http://www.ferc.gov/CalendarFiles/20100601131610-Ott,%20PJM.pdf.Google Scholar
• Overbye TJ, Cheng X, Sun Y (2004) A comparison of the AC and DC power flow models for LMP calculations. Proc. 37th Annual Hawaii Internat. Conf. System Sci., HICSS '04, Vol. 2 (IEEE Computer Society, Washington, DC).Crossref, Google Scholar
• Peterson NM, Tinney WF, Bree DW (1972) Iterative linear AC power flow solution for fast approximate outage studies. IEEE Trans. Power Apparatus Systems PAS-91:2048–2056.Crossref, Google Scholar
• Pinto H, Magnago F, Brignone S, Alsac O, Stott B (2006) Security constrained unit commitment: Network modeling and solution issues. Proc. IEEE PES Power Systems Conf. Exposition, PSCE '06 (IEEE, Piscataway, NJ), 1759–1766.Crossref, Google Scholar
• Powell L (2004) Power System Load Flow Analysis (Professional Engineering) (McGraw-Hill, New York).Google Scholar
• Purchala K, Meeus L, Van Dommelen D, Belmans R (2005) Usefulness of DC power flow for active power flow analysis. Power Engrg. Soc. General Meeting, 454–459.Crossref, Google Scholar
• Roberto SA, Cuervo P (2005) Capacitor placement in radial distribution networks through a linear deterministic optimization model. Proc. 15th Power Systems Computation Conf. (PSCC'05), Lige, Belgium.Google Scholar
• Romero-Ramos E, Riquelme-Santos J, Reyes J (2010) A simpler and exact mathematical model for the computation of the minimal power losses tree. Electric Power Systems Res. 80:562–571.Crossref, Google Scholar
• Ruiz PA, Sauer PW (2007) Post-contingency voltage and reactive power estimation and large error detection. Proc. 39th North American Power Sympos. NAPS '07 (IEEE, Piscataway, NJ),266–272.Crossref, Google Scholar
• Salmeron J, Wood K, Baldick R (2004) Analysis of electric grid security under terrorist threat. IEEE Trans. Power Systems 19:905–912.Crossref, Google Scholar
• Salmeron J, Wood K, Baldick R (2009) Worst-case interdiction analysis of large-scale electric power grids. IEEE Trans. Power Systems 24:96–104.Crossref, Google Scholar
• Seifossadat SG, Raeszadeh A, Saniei M (2009) Reactive power pricing in competitive electric markets using a sequential linear programming with considered investment cost of capacitor banks. Proc. 42nd Internat. Universities Power Engineering Conf. UPEC '07 (IEEE, Piscataway, NJ), 83–88.Google Scholar
• Shahidehpour M, Yamin H, Li Z (2002) Market Operations in Electric Power Systems: Forecasting, Scheduling, and Risk Management (John Wiley & Sons, New York).Crossref, Google Scholar
• Sreejaya P, Iyer SR (2010) Optimal reactive power flow control for voltage profile improvement in AC–DC power systems. Proc. Joint Internat. Conf. Power Electronics, Drives and Energy Systems PEDES & 2010 Power India (IEEE, Piscataway, NJ), 1–6.Crossref, Google Scholar
• Stott B, Alsac O (1974) Fast decoupled load flow. IEEE Trans. Power Apparatus Systems 93:859–869.Crossref, Google Scholar
• Stott B, Jardim J, Alsac O (2009) DC power flow revisited. IEEE Trans. Power Systems 24:1290–1300.Crossref, Google Scholar
• Stott B, Marinho JL, Alsac O (1979) Review of linear programming applied to power system rescheduling. Proc. IEEE Conf. Power Industry Comput. Appl., PICA-79 (IEEE, Piscataway, NJ),142–154.Crossref, Google Scholar
• Taylor JA, Hover FS (2011) Linear relaxations for transmission system planning. IEEE Trans. Power Systems 26:2533–2538.Crossref, Google Scholar
• Thukaram D, Parthasarathy K, Prior DL (1984) Improved algorithm for optimum reactive power allocation. Internat. J. Electrical Power Energy Systems 6:72–74.Crossref, Google Scholar
• University of Washington Electrical Engineering (1999) Power systems test case archive. Accessed April 30, 2012, http://www.ee.washington.edu/research/pstca/.Google Scholar
• Van Hentenryck P, Coffrin C, Bent R (2011) Vehicle routing for the last mile of power system restoration. Proc. 17th Power Systems Computation Conf. (PSCC'11), Stockholm, Sweden.Google Scholar
• Wang X, McDonald J (1994) Modern Power System Planning (McGraw-Hill, New York).Google Scholar
• Wang Z, Peng D, Feng Q, Liu H, Yu DC (1996) A non-incremental model for optimal control of reactive power flow. Electric Power Systems Res. 39:153–159.Crossref, Google Scholar
• Wollenberg BF, Stadlin WO (1974) A real time optimizer for security dispatch. IEEE Trans. Power Apparatus Systems PAS-93:1640–1649.Crossref, Google Scholar
• Wood AJ, Wollenberg BF (1996) Power Generation, Operation, and Control (John Wiley & Sons, New York).Google Scholar
• Zimmerman RD, Murillo-Sánchez CE, Thomas RJ (2011) Matpower: Steady-state operations, planning, and analysis tools for power systems research and education. IEEE Trans. Power Systems 26:12–19.Crossref, Google Scholar