Critical Reviews of Load Flow Methods for Well, Ill and Unsolvable Condition

Amidaddin Shahriari; Hazlie Mokhlis; Ab Bakar

doi:10.2478/v10187-012-0022-x

Abstract

This paper presents a critical review of Load flow methods in well, ill and unsolvable conditioned systems. The comparison studies deals with multiple load flow solution (MLFS), second-order load-flow (SOLF) and continuation load flow (CLF). The ability of theses method to return from unsolvable solution to a solvable solution in load flow analysis is analyzed and discuss thoroughly. Special attention is given to the problems and techniques to provide optimal recommendations of the parameters that are used in these load flow methods. A part of the reviews, this paper also presents the comparison of numerical result using different type of aforesaid load flow methods for well and ill-conditioned systems.

References

STOTT, B.: Review of Load-Flow Calculation Methods, Proc. IEEE 62 No. 1 (July 1974), 916-929.10.1109/PROC.1974.9544
Search in Google Scholar
WU, F. F.: Theoretical Study of the Convergence of the Fast Decoupled Load Flow, IEEE Trans. Power Syst. 96 No. 2 (Jan/Feb 1977), 269-275.10.1109/T-PAS.1977.32334
Search in Google Scholar
LUO, G. X.—SEMLYEN, A.: Efficient Load Flow for Large Weakly Meshed Networks, IEEE Trans. Power Syst., 5 No. 4 (Nov 1990), 1309-1316.10.1109/59.99382
Search in Google Scholar
STOTT, B.: Effective Starting Process for Newton-Raphson Load Flows, IEEE Trans. Power App Proc. Inst. Elect. Eng. 118 No. 8 (Nov 1971), 983-987.10.1049/piee.1971.0197
Search in Google Scholar
IWAMOTO, S.—TAMURA, Y.: A Fast Load Flow Method Retaining Nonlinearity, IEEE Trans. Power App. Syst. 97 No. 1 (Sep/Oct 1978), 1586-1599.10.1109/TPAS.1978.354650
Search in Google Scholar
IWAMOTO, S.—TAMURA, Y.: A Load Flow Calculation Method for Ill Conditioned Power Systems, IEEE Trans. Power App. Syst. 100 No. 3 (Apr 1981), 1736-1743.10.1109/TPAS.1981.316511
Search in Google Scholar
TRIPATHY, S. C.—PRASAD, G. D.—MALIK, O. P.—HOPE, G. S.: Load-Flow Solutions for Ill-Conditioned Power Systems by a Newton-Like Method, IEEE Trans. Power App. Syst. 101 No. 1 (Oct 1982), 3648-3657.10.1109/TPAS.1982.317050
Search in Google Scholar
SCHAFFER, M. D.—TYLAVSKY, D. J.: A Nondiverging Polar Form Newton-Based Power Flow, IEEE Trans. Ind. App. 24 No. 1 (Sep/Oct 1988), 870877.10.1109/28.8993
Search in Google Scholar
BRAZ, L. M. C.—CASTRO, C. A.—MURARI, C. A. F.: A Critical Evaluation of Step Size Optimization Based Load Flow Methods, IEEE Trans. Power Syst. 15 No. 1 (Feb 2000), 202-207.10.1109/59.852122
Search in Google Scholar
TATE, J. E.—OVERBYE, T. J.: A Comparison of the Optimal Multiplier in Polar and Rectangular Coordinates, IEEE Trans. Power Syst. 20 No. 4 (Nov 2005), 1667-1674.10.1109/TPWRS.2005.857388
Search in Google Scholar
IBA, K.—SUZUKI, H.—EGAWA, M.—WATANABE, T.: A Method for Finding a Pair of Multiple Load Flow Solutions in Bulk Power Systems, IEEE Trans. Power Syst. 5 No. 2 (May 1990), 582-591.10.1109/59.54569
Search in Google Scholar
OVERBYE, T. J.—KLUMP, R. P.: Effective Calculation of Power System Low-Voltage Solutions, IEEE Trans. Power Syst. 11 No. 1 (Feb 1996), 75-82.10.1109/59.485988
Search in Google Scholar
OVERBYE, T. J.: A Power Flow Measure for Unsolvable Cases, IEEE Trans Power Syst. 9 No. 3 (Aug 1994), 1359-1365.10.1109/59.336130
Search in Google Scholar
AJJARAPU, V.—CHRISTY, C.: The Continuation Power Flow: A Tool for Steady State Voltage Stability Analysis, IEEE Trans. Power Syst. 7 No. 1 (Feb 1992), 416-423.10.1109/59.141737
Search in Google Scholar
MILANO, F.: Continuous Newton's Method for Power Flow Analysis, IEEE Trans. Power Syst. 24 No. 1 (Feb 2009), 50-57.10.1109/TPWRS.2008.2004820
Search in Google Scholar
AVALOS, R. J.—CAÑIZARES, C. A.—MILANO, F.—CONEJO, A.: Equivalency of Continuation and Optimization Methods to Determine Saddle-Node and Limit Induced Bifurcations in Power Systems, IEEE Trans. Power Cir. Syst. 56 No. 1 (2009), 210-223.
Search in Google Scholar
de SOUZA, A. Z.—CAÑIZARES, C. A.—QUINTANA, V. H.: New Techniques to Speed Up Voltage Collapse Computations Using Tangent Vector, IEEE Trans. Power Syst. 12 No. 3 (Aug 1997), 1380-1387.10.1109/59.630485
Search in Google Scholar
KEYHANI, A.—ABUR, A.—HAO, S.: Evaluation of Power Flow Techniques for Personal Computers, IEEE Trans. Power Syst. 4 No. 2 (May 1989), 817-826.10.1109/59.193857
Search in Google Scholar
VENIKOV, V. A.—STROEV, V. A.—IDELCHICK, V. I.—TARASOV, V. I.: Estimation of Electrical Power-System Steady State Stability, IEEE Trans. Power App. Syst. 94 No. 3 (1975), 1034-1041.10.1109/T-PAS.1975.31937
Search in Google Scholar
SACHDEV, M. S.—MEDICHERLA, T. K. P.: A Second Order Load Flow Technique, IEEE Trans. Power App. Syst. 96 No. 1 (Feb 1977), 189-197.10.1109/T-PAS.1977.32323
Search in Google Scholar
LI, S. H.—CHIANG, H. D.: Continuation Power Flow With Nonlinear Power Injection Variations: A Piecewise Linear Approximation, IEEE Trans. Power Syst. 23 No. 4 (Nov 2008), 1637-1643.10.1109/TPWRS.2008.2002294
Search in Google Scholar
WILSON LONG, R.: Inherent Constraints Control Convergence: A New Method in the Long Look at Load Flow, IEEE Trans. Power App. Syst. 88 No. 4 (Jan 1969), 22-27.10.1109/TPAS.1969.292333
Search in Google Scholar
BIJWE, P. R.—KELAPURE, S. M.: Nondivergent Fast Power Flow Methods, IEEE Trans. Power Syst. 18 No. 1 (May 2003), 633-638.10.1109/TPWRS.2003.810905
Search in Google Scholar
SASSON, A. M.: Nonlinear Programming Solutions for Load-Flow, Minimum Loss, and Economic Dispatching Problems, IEEE Trans. Power App. Syst. 88 No. 4 (Apr 1969), 399-409.10.1109/TPAS.1969.292460
Search in Google Scholar
HUBBI, W.: The Mismatch Theorem and Second-Order Load-Flow Algorithms, IEE Proc. 132 No. 4 (July 1985), 189-194.10.1049/ip-c.1985.0033
Search in Google Scholar
WAMSER, R. J.—SLUTSKER, I. W.: Power Flow Solution By Newton-Raphson Method In Transient Stability Studies, IEEE Trans. Power App. Syst. 103 No. 8 (Aug 1984), 2299-2307.10.1109/TPAS.1984.318546
Search in Google Scholar
RIVAS. R. LAND ULLOD. C. L.: Automatic Blackout Recovery through a Deterministic Load Flow, The International Conference on Power Engineering Society Transmission and Distribution, IEEE 2006 - Venezuela.10.1109/TDCLA.2006.311506
Search in Google Scholar
STOTT, B.—MARINHO, J. L.: Linear Programming for PowerSystem Network Security Applications, IEEE Trans. Power Syst. 98 No. 4 (May/June 1979), 837-848.10.1109/TPAS.1979.319296
Search in Google Scholar
CHEN, Y.—SHEN, C.: A Jacobian-Free Mewton-GMRES(m) Method with Adaptive Preconditioner and its Application for Power Flow Calculations, IEEE Trans. Power Syst. 21 No. 3 (Aug 2006), 1096-1103.10.1109/TPWRS.2006.876696
Search in Google Scholar
TAMURA, Y.—MORI, H.—IWAMOTO, S.: Relationship between Voltage Instability and Multiple Load Flow Solutions in Electric Power Systems, IEEE Trans. Power App. Syst. 102 No. 5 (May 1983), 1115-1125.10.1109/TPAS.1983.318052
Search in Google Scholar
SASSON, A. M.—TREVINO. C.—ABOYTES. F.: Improved Newton's Load Flow Through a Minimization Technique, IEEE Trans. Power App. Sys. 90 No. 3 (Feb 1971), 1974-1981.10.1109/TPAS.1971.292992
Search in Google Scholar
ALVES, D. A.—da SILVA, L. C. P.—CASTRO, C. A.—da COSTA, V. F.: Continuation Fast Decoupled Power Flow with Secant Predictor, IEEE Trans. Power Syst. 16 No. 3 (Aug 2003), 1078-1085.10.1109/TPWRS.2003.814892
Search in Google Scholar
SEMLYEN, A.—de LE'ON, F.: Quasi-Newton Power Flow Using Partial Jacobian Updates, IEEE Trans. Power Syst. 16 No. 3 (Aug 2001), 332-339.10.1109/59.932265
Search in Google Scholar
JABR, R. A.: A Conic Quadratic Format for the Load Flow Equations of Meshed Networks, IEEE Trans. Power Syst. 22 No. 4 (Nov 2007), 2285-2286.10.1109/TPWRS.2007.907590
Search in Google Scholar
WANG, Y.—da SILVA, L. C. P.—WILSUN XU: Investigation of the Relationship between Ill-Conditioned Power Flow and Voltage Collapse, IEEE Power Engineering Review 20 No. 4 (July 2000), 43-45.10.1109/39.850434
Search in Google Scholar
YORINO, N.—HUA-QIANG LI SASAKI, H.: A Predictor/Corrector Scheme for Obtaining Q-Limit Points for Power Flow Studies, IEEE Trans. Power Syst. 20 No. 2 (Feb 2005), 130-137.10.1109/TPWRS.2004.831696
Search in Google Scholar
DIMITROVSKI, A.—TOMSOVIC, K.: Boundary Load Flow Solutions, IEEE Trans. Power Syst. 19 No. 1 (Feb 2004), 348-355.10.1109/TPWRS.2003.821469
Search in Google Scholar
SODE-YOME, A.—MITHULANANTHAN, N.—LEE, K. Y.: A Maximum Loading Margin Method for Static Voltage Stability in Power Systems, IEEE Trans. Power Syst. 21 No. 3 (May 2004), 799-808.10.1109/TPWRS.2006.873125
Search in Google Scholar
GUEDES, R. B. L.—ALBERTO, L. F. C.—BRETAS, N. G.: Power System Low-Voltage Solutions using an Auxiliary Gradient System for Voltage Collapse Purposes, IEEE Trans. Power Syst. 20 No. 3 (Aug 2005), 1528-1537.10.1109/TPWRS.2005.852069
Search in Google Scholar
NOR, K. M.—MOKHLIS, H.—GANI, T. A.: Reusability Techniques in Load Flow Analysis Computer Program, IEEE Trans. Power Syst. 19 No. 4 (Nov 2004), 1754-1762.10.1109/TPWRS.2004.835630
Search in Google Scholar
HASANPOUR, S.—GHAZI, R.—JAVIDI, M. H.: A New Method for Fast Computation of Maximum Loading Margin Utilizing the Weak Area of the System, International Review of Electrical Engineering (IREE) 4 No. 1 (Feb 2009), 139-145.
Search in Google Scholar
ZHOU, E. Z.: Object-Oriented Programming, C++ and Power System Simulation, IEEE Trans. Power Syst. 11 No.1 (Feb 1996), 206-215.10.1109/59.486097
Search in Google Scholar

Critical Reviews of Load Flow Methods for Well, Ill and Unsolvable Condition

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