Comparative studies on Non-Divergent Load flow methods in well, ill and unsolvable condition

This paper describes a critical evaluation of Non-Divergent Load flow methods in well, ill and unsolvable conditioned systems. The comparison studies deals Multiple Load Flow Solution (MLFS) based Second-Order Load-Flow (SOLF) in polar coordinate and Continuation Load Flow (CLF). The analytical bases, ability consideration of theses methods to return operation of power system from unsolvable to solvable region solution. Attention is given to the problems and techniques of to provide optimal recommendations of the parameters, that using in these Non-Divergent Load flow methods to lead to solvable region, based on inequality constraints of power system. A part of the survey, this paper also presents the comparison of numerical result using different type of aforesaid load flow methods for well and ill- conditioned systems. Accordingly, load flow simulation has been solved using the C++ programming.

[1]  A.C.Z. de Souza,et al.  New techniques to speed up voltage collapse computations using tangent vectors , 1997 .

[2]  Daniel Tylavsky,et al.  A nondiverging polar-form Newton-based power flow , 1988 .

[3]  S. Iwamoto,et al.  A Fast Load Flow Method Retaining Nonlinearity , 1978, IEEE Transactions on Power Apparatus and Systems.

[4]  B. Stott,et al.  Review of load-flow calculation methods , 1974 .

[5]  Carlos A. Castro,et al.  Continuation fast decoupled power flow with secant predictor , 2003 .

[6]  P. R. Bijwe,et al.  Nondivergent fast power flow methods , 2003 .

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

[8]  I. Slutsker,et al.  Power Flow Solution by the Newton-RAphson Method in Transient Stability Studies , 1984, IEEE Transactions on Power Apparatus and Systems.

[9]  V. A. Venikov,et al.  Estimation of electrical power system steady-state stability in load flow calculations , 1975, IEEE Transactions on Power Apparatus and Systems.

[10]  K.Y. Lee,et al.  A maximum loading margin method for static voltage stability in power systems , 2006, IEEE Transactions on Power Systems.

[11]  Y. Tamura,et al.  Relationship Between Voltage Instability and Multiple Load FLow Solutions in Electric Power Systems , 1983, IEEE Transactions on Power Apparatus and Systems.

[12]  A. Semlyen,et al.  Quasi-Newton Power Flow Using Partial Jacobian Updates , 2001, IEEE Power Engineering Review.

[13]  B Stott,et al.  Linear Programming for Power-System Network Security Applications , 1979, IEEE Transactions on Power Apparatus and Systems.

[14]  F. Wu,et al.  Theoretical study of the convergence of the fast decoupled load flow , 1977, IEEE Transactions on Power Apparatus and Systems.

[15]  Federico Milano,et al.  Equivalency of Continuation and Optimization Methods to Determine Saddle-Node and Limit-Induced Bifurcations in Power Systems , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[16]  C. L. Ullod,et al.  Automatic Blackout Recovery Through a Deterministic Load Flow , 2006, 2006 IEEE/PES Transmission & Distribution Conference and Exposition: Latin America.

[17]  Ying Chen,et al.  A Jacobian-free Newton-GMRES(m) method with adaptive preconditioner and its application for power flow calculations , 2006, IEEE Transactions on Power Systems.

[18]  F. Milano.  Continuous Newton's Method for Power Flow Analysis , 2009, IEEE Transactions on Power Systems.

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

[20]  E. Z. Zhou.  Object-oriented programming, C++ and power system simulation , 1996 .

[21]  R. Wilson Long.  Inherent Constraints Control Convergence A New Method in the Long Look at Load Flow , 1969 .

[22]  N.G. Bretas,et al.  Power system low-voltage solutions using an auxiliary gradient system for voltage collapse purposes , 2005, IEEE Transactions on Power Systems.

[23]  K. Tomsovic,et al.  Boundary load flow solutions , 2004, IEEE Transactions on Power Systems.

[24]  B. Stott.  Effective starting process for Newton-Raphson load flows , 1971 .

[25]  J.E. Tate,et al.  A comparison of the optimal multiplier in polar and rectangular coordinates , 2005, IEEE Transactions on Power Systems.

[26]  Albert M. Sasson,et al.  Nonlinear Programming Solutions for Load-Flow, Minimum-Loss, and Economic Dispatching Problems , 1969 .

[27]  H. Sasaki,et al.  A predictor/corrector scheme for obtaining Q-limit points for power flow studies , 2005, IEEE Transactions on Power Systems.

[28]  Albert M. Sasson,et al.  Improved Newton's Load Flow Through a Minimization Technique , 1971 .

[29]  W. Hubbi,et al.  The mismatch theorem and second-order load-flow algorithms , 1985 .

[30]  L.C.P. da Silva,et al.  Investigation of the relationship between ill-conditioned power flow and voltage collapse , 2000 .

[31]  Thomas J. Overbye,et al.  Effective calculation of power system low-voltage solutions , 1996 .

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

[33]  Hsiao-Dong Chiang,et al.  Continuation Power Flow With Nonlinear Power Injection Variations: A Piecewise Linear Approximation , 2008, IEEE Transactions on Power Systems.

[34]  Adam Semlyen,et al.  Efficient load flow for large weakly meshed networks , 1990 .

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

[36]  R. Jabr,et al.  A Conic Quadratic Format for the Load Flow Equations of Meshed Networks , 2007, IEEE Transactions on Power Systems.

[37]  M.S. Sachdev,et al.  A second order load flow technique , 1977, IEEE Transactions on Power Apparatus and Systems.

[38]  A. Abur,et al.  Evaluation of Power Flow Techniques for Personal Computers , 1989, IEEE Power Engineering Review.

[39]  K. Iba,et al.  A method for finding a pair of multiple load flow solutions in bulk power systems , 1989, Conference Papers Power Industry Computer Application Conference.