Applications of an interior point method based optimal power flow

This paper tackles the complex problem of an optimal power flow (OPF) by the interior point method (IPM). Two interior point algorithms are presented and compared, namely the pure primal-dual and the predictorcorrector respectively. Among various OPF objectives, emphasis is put on two classical ones: the maximization of loadability limit and the minimization of the amount of load curtailment. Illustrative examples on three test systems ranging from 60 to 300 buses are provided.

[1]  G. Irisarri,et al.  Maximum loadability of power systems using interior point nonlinear optimization method , 1997 .

[2]  T. Van Cutsem,et al.  Determination of secure operating limits with respect to voltage collapse , 1999 .

[3]  W. Rosehart,et al.  Complementarity model for generator buses in OPF-based maximum loading problems , 2005, IEEE Transactions on Power Systems.

[4]  Ian Dobson,et al.  Voltage collapse precipitated by the immediate change in stability when generator reactive power limits are encountered , 1992 .

[5]  Claudio A. Canizares,et al.  Multiobjective optimal power flows to evaluate voltage security costs in power networks , 2003 .

[6]  S. Granville,et al.  Application of interior point methods to power flow unsolvability , 1996 .

[7]  Sanjay Mehrotra,et al.  On the Implementation of a Primal-Dual Interior Point Method , 1992, SIAM J. Optim..

[8]  G. L. Torres,et al.  An interior-point method for nonlinear optimal power flow using voltage rectangular coordinates , 1998 .

[9]  B. Wollenberg,et al.  Transmission management in the deregulated environment : The technology of power system competition , 2000 .

[10]  Thierry Van Cutsem,et al.  Determination of optimal load shedding against voltage instability , 1999 .

[11]  Venkataramana Ajjarapu,et al.  The continuation power flow: a tool for steady state voltage stability analysis , 1991 .

[12]  Louis Wehenkel,et al.  An interior point method based optimal power flow , 2005 .

[13]  Anthony V. Fiacco,et al.  Nonlinear programming;: Sequential unconstrained minimization techniques , 1968 .

[14]  I. Dobson.  Observations on the geometry of saddle node bifurcation and voltage collapse in electrical power systems , 1992 .

[15]  Jacek Gondzio,et al.  Multiple centrality corrections in a primal-dual method for linear programming , 1996, Comput. Optim. Appl..