On impedance matching and maximum power transfer

This paper investigates the relationship between the impedance matching and the maximum power transfer problems, and presents a predictor–corrector framework for fast estimation of the maximum power transfer limit for the load increase pattern with a common scaling factor. First, a network equivalent technique is presented and a “decoupled” equivalent network is obtained for every load bus. Second, a special form of impedance matching condition is derived for the maximum power transfer problem with an unlimited load variation pattern. Though this is an unrealistic case in power systems, it might have a profound physical mechanism and lead to an interesting explanation and application for the presented equivalent technique. Third, this paper discusses the relationship between the impedance matching and the maximum power transfer problem for the load increase pattern with a common scaling factor. Finally, a predictor–corrector framework is introduced for fast estimation of the maximum power transfer limit for the load increase pattern with a common scaling factor.

[1]  K. Vu,et al.  Use of local measurements to estimate voltage-stability margin , 1997 .

[2]  Weixing Li,et al.  ATC calculation with steady-state security constraints using Benders decomposition , 2003 .

[3]  Louis Wehenkel,et al.  Transient stability-constrained maximum allowable transfer , 1999 .

[4]  F. Gubina,et al.  A new concept of voltage-collapse protection based on local phasors , 2004, IEEE Transactions on Power Delivery.

[5]  N. D. Reppen,et al.  Integrated approach to transfer limit calculations , 1995 .

[6]  C.A. Castro,et al.  Fast computation of voltage stability security margins using nonlinear programming techniques , 2006, IEEE Transactions on Power Systems.

[7]  M. H. Gravener,et al.  Available transfer capability and first order sensitivity , 1999 .

[8]  Seema Singh,et al.  Dynamic available transfer capability computation using a hybrid approach , 2008 .

[9]  N. Schulz,et al.  Synchrophasor-Based Real-Time Voltage Stability Index , 2006, 2006 IEEE PES Power Systems Conference and Exposition.

[10]  T. Overbye A power flow measure for unsolvable cases , 1994 .

[11]  Mohammed H. Haque On-line monitoring of maximum permissible loading of a power system within voltage stability limits , 2003 .

[12]  Christian Rehtanz,et al.  Design Aspects for Wide-Area Monitoring and Control Systems , 2005, Proceedings of the IEEE.

[13]  H. Baudrand,et al.  On the generalizations of the maximum power transfer theorem , 1970 .

[14]  K. K. Nambiar A generalization of the maximum power transfer theorem , 1969 .

[15]  B. S. Gisin,et al.  Practical methods for transfer limit analysis in the power industry deregulated environment , 1999, Proceedings of the 21st International Conference on Power Industry Computer Applications. Connecting Utilities. PICA 99. To the Millennium and Beyond (Cat. No.99CH36351).

[16]  Yang Wang,et al.  A new node voltage stability index based on local voltage phasors , 2009 .

[17]  G. C. Ejebe,et al.  Fast calculation of linear available transfer capability , 1999 .

[18]  Y. Tamura,et al.  A Load Flow Calculation Method for Ill-Conditioned Power Systems , 1981, IEEE Transactions on Power Apparatus and Systems.

[19]  C. Castro,et al.  A critical evaluation of step size optimization based load flow methods , 2000 .

[20]  Hsiao-Dong Chiang,et al.  CPFLOW: a practical tool for tracing power system steady-state stationary behavior due to load and generation variations , 1995 .

[21]  Miroslav Begovic,et al.  Voltage Stability Protection and Control Using a Wide Area Network of Phasor Measurements , 2002, IEEE Power Engineering Review.

[22]  S. Corsi,et al.  A Real-Time Voltage Instability Identification Algorithm Based on Local Phasor Measurements , 2008, IEEE Transactions on Power Systems.

[23]  F. Gubina,et al.  Local voltage-stability index using tellegen's Theorem , 2007, 2007 IEEE Power Engineering Society General Meeting.

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