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Analysis of Transmission System Adequacy Considering the Constrained Fuzzy Power Flow

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Power flow calculations are one of the most important tools for power system planning and operation. The need to account for uncertainties when performing power flow studies led, among others methods, to the development of the fuzzy power flow (FPF). This kind of models is especially interesting when a scarcity of information exists, which is a common situation in liberalized power systems (where generation and commercialization of electricity are market activities). In this framework, the symmetric/constrained fuzzy power flow (SFPF/CFPF) was proposed in order to avoid some of the problems of the original FPF model. The SFPF/CFPF models are suitable to quantify the adequacy of transmission network to satisfy “reasonable demands for the transmission of electricity” as defined, for instance, in the European Directive 2009/72/EC. In this work it is illustrated how the SFPF/CFPF may be used to evaluate the impact on the adequacy of a transmission system originated by specific investments on new network elements.
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Transmission System; Fuzzy Power Flow; Adequacy; Repression; Planning

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T. De la Torre, J. W. Feltes, T. G. S. Roman, and H. M. Merril, Deregulation, privatization, and competition: transmission planning under uncertainty, IEEE Trans. PWRS, Vol. 14, No. 2, pp. 460-465, May 1999.

V. Miranda, and L. M. Proenca, Probabilistic choice vs. risk analysis – conflicts and synthesis in power system planning, IEEE Trans. PWRS, Vol. 13, No. 3, pp. 1038-1043, Aug. 1998.

J. T. Saraiva, V. Miranda, L. M. V. G. Pinto, Impact on some planning decisions from a fuzzy modeling of power systems, Power Systems, IEEE Transactions on, Vol.9, Issue 2, pp 819 – 825, May 1994.

H. Sun, and D. C. Yu, A multiple-objective optimization model of transmission enhancement planning for independent transmission company (ITC), in Proc. 2000 IEEE Power Engineering Society Summer Meeting, Vol. 4, pp. 2033-2038.

J. Cha, K. Oh, B. Lee, K. Song, A decision making method for congested transmission lines of KEPCO system, in Proc. 2000 IEEE International Conf. on Power System Tech., Vol. 3, pp. 1425-1429.

K. Y. Lee, S. Manuspiya, M. Choi, M. Shin, Network congestion assessment for short-term transmission planning under deregulated environment, in Proc. 2001 IEEE PES Winter Meeting, Vol. 3, pp. 1266 –1271.

A. K. David, F. Wen, Transmission planning and investment under competitive electricity market environment, in Proc. 2001 IEEE Power Engineering Society Summer Meeting, Vol. 3, pp 427-432.

P. Maghouli, S. H. Hosseini, M. O. Buygi, M. A.Shahidehpour, Scenario-Based Multi-Objective Model for Multi-Stage Transmission Expansion Planning, Power Systems, IEEE Transactions on , vol 26, Issue 1, pp. 470 – 478, February 2011.

Millar, R.J., Saarijarvi, E., Lehtonen, M., Hyvarinen, M., Niskanen, J., Hamalainen, P., Electricity distribution network planning algorithm based on efficient initial and radial-to-full network conversion, (2013) International Review of Electrical Engineering (IREE), 8 (3), pp. 1076-1090.

Purwoharjono, Abdillah, M., Penangsang, O., Soeprijanto, A., Optimal placement of SVC for losses reduction and voltage profile improvement in electrical power system using improved gravitational search algorithm, (2013) International Review of Electrical Engineering (IREE), 8 (1), pp. 329-339.

B. Borkowska, Probabilistic Load Flow, IEEE Trans. PAS, vol. 93, 1974, pp 752-755.

R.N. Allan, A.M. Leite da Silva, R.C. Burchett, Evaluation methods and accuracy in probabilistic load flow solutions, IEEE Trans. PAS, vol. 100, 1981, pp 195-207

V. Miranda, M.A. Matos, Distribution System Planning with Fuzzy Models and Techniques, in Proc. CIRED 89, Brighton, 1989, pp 472-476.

Z. Wang, F.L. Alvarado,Interval arithmetic in power flow analysis, IEEE Trans. Power Systems, vol.7, 1992, pp 843-849.

A. Dimitrovsky, K. Tomsovic, Boundary Load Flow Solutions, IEEE Trans. Power Systems, vol. 19, no.1, February 2004, pp 348-355.

P.R. Bijwe, M. Hanmandlu and V.N. Pande, Fuzzy power flow solutions with reactive limits and multiple uncertainties, Electric Power Systems Research, vol. 76, Issues 1-3, September 2005, pp 145-152.

P. A. Pajan, V. L. Paucar, Fuzzy power flow: considerations and application to the planning and operation of a real power system”, in Proceedings of PowerCon 2002, vol.1, October 2002, pp 433-437.

E. M. Gouveia, M. A. Matos, Constrained Fuzzy Power Flow, in Proceedings of IEEE PowerTech 2007, Lausanne, Switzerland, June 2007, pp. 1314-1319

M. A. Matos, E. M. Gouveia, Fuzzy Power Flow Revisited, Power Systems, IEEE Transactions on, Volume 23, Issue 1, February 2008, pp 213 – 218.

E. M. Gouveia, M. A. Matos, ”Symmetric AC Fuzzy Power Flow Model”, European Journal of Operational Research, vol. 197, Issue 3, 2009, pp 1012-1018.


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