A linearized approach to the Symmetric Fuzzy Power Flow for the application to real systems

Abstract Many applications of Fuzzy Power Flow have been proposed not only for operational purposes considering uncertainties, but also for planning exercises with high level of intermittent sources, interconnection presence and, more recently, electric vehicles load. However, their use in real systems is not usual, mainly where the uncertainty level can be significant. This is due to the low accuracy of the results related to the classical methods, and the computational burden needed to achieve a high level of accuracy in the symmetric approaches. This paper aims to present a linearization of the Symmetric Fuzzy Power Flow in order to reduce the computational effort and make it possible for it to achieve high levels of accuracy when applied to real systems. With the purposes of demonstrating the applicability of the proposed approach, several IEEE test systems and a planning configuration of the Portuguese Transmission System will be studied.

[1]  N. Fonseca,et al.  Fuzzy power flow-an AC model addressing correlated data , 2004, 2004 International Conference on Probabilistic Methods Applied to Power Systems.

[2]  João Tomé Saraiva,et al.  Generation and load uncertainties incorporated in load flow studies , 1991, [1991 Proceedings] 6th Mediterranean Electrotechnical Conference.

[3]  Eduardo M. Gouveia,et al.  Symmetric AC fuzzy power flow model , 2009, Eur. J. Oper. Res..

[4]  Nouredine Hadjsaid,et al.  Probabilistic load flow for voltage assessment in radial systems with wind power , 2012 .

[5]  Vladimiro Miranda,et al.  Fuzzy modelling of power system optimal load flow , 1991 .

[6]  V. M. da Costa,et al.  Interval arithmetic in current injection power flow analysis , 2012 .

[7]  Kevin Tomsovic,et al.  Boundary load flow solutions , 2004 .

[8]  Fernando L. Alvarado,et al.  Interval arithmetic in power flow analysis , 1991 .

[9]  M. Matos,et al.  Constrained Fuzzy Power Flow , 2007, 2007 IEEE Lausanne Power Tech.

[10]  Ronald N. Allan,et al.  Probabilistic load flow using multilinearisations , 1981 .

[11]  João Tomé Saraiva,et al.  Fuzzy Load Flow-New Algorithms Incorporating Uncertain Generation and Load Representation , 1990 .

[12]  Madan M. Gupta,et al.  Fuzzy mathematical models in engineering and management science , 1988 .

[13]  Vladimiro Miranda,et al.  Distribution system planning with fuzzy models and techniques , 1989 .

[14]  Reza Taghavi,et al.  A nonlinear-hybrid fuzzy/probabilistic load flow for radial distribution systems , 2013 .

[15]  M.A. Matos,et al.  The fuzzy power flow revisited , 2005, 2005 IEEE Russia Power Tech.

[16]  Ronald N. Allan,et al.  Probabilistic a.c. load flow , 1976 .

[17]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[18]  V. L. Paucar,et al.  Fuzzy power flow: considerations and application to the planning and operation of a real power system , 2002, Proceedings. International Conference on Power System Technology.

[19]  J. T. Saraiva,et al.  Enhanced fuzzy power flow models integrating correlation between nodal injections , 1996, Proceedings of 8th Mediterranean Electrotechnical Conference on Industrial Applications in Power Systems, Computer Science and Telecommunications (MELECON 96).

[20]  Mohammed E. El-Hawary,et al.  Electric Power Applications of Fuzzy Systems , 1998 .

[21]  A. M. Leite da Silva,et al.  Probabilistic load flow by a multilinear simulation algorithm , 1990 .

[22]  Barbara Borkowska,et al.  Probabilistic Load Flow , 1974 .

[23]  Y. Zhu,et al.  An interval full-infinite programming approach for energy systems planning under multiple uncertainties , 2012 .

[24]  K. Tomsovic,et al.  Slack bus treatment in load flow solutions with uncertain nodal powers , 2004, 2004 International Conference on Probabilistic Methods Applied to Power Systems.