Numerical techniques in solution of power-system load-flow problems

The literature describing methods of analysis suitable for use with electronic digital computers in the power-system load-flow problem has grown until the papers can now be numbered in hundreds. This paper presents a classification that can be applied to all methods, with theory and discussion of the important problems of acceleration of the solution, criteria for convergence and of the inherent difficulties that enable only general comparisons to be made between methods. An extensive bibliography lists the more significant papers on the subject.

[1]  James E. Van Ness,et al.  Iteration Methods for Digital Load Flow Studies , 1959 .

[2]  C. A. Macarthur,et al.  Transmission Limitations Computed by Superposition , 1961, Transactions of the American Institute of Electrical Engineers Part III Power Apparatus and Systems.

[3]  J. E. Kelley.  Modern Computing Methods , 1959 .

[4]  Gabriel Kron,et al.  Diakoptics : the piecewise solution of large-scale systems , 1963 .

[5]  L. A. Dunstan,et al.  Digital Load Flow Studies [includes discussion] , 1954, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[6]  J. B. Ward,et al.  Digital Computation of Driving Point and Transfer Impedances , 1957, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[7]  C. J. Baldwin,et al.  Digital Calculation of Power System Networks under Faulted Conditions , 1958, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[8]  J. E. V. Ness.  Convergence of Iterative Load-Flow Studies , 1959 .

[9]  G. W. Stagg,et al.  Automatic Calculation of Load Flows , 1957, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[10]  B. A. Carré,et al.  The Determination of the Optimum Accelerating Factor for Successive Over-relaxation , 1961, Comput. J..

[11]  G. K. Carter,et al.  Some practical mathematical techniques , 1958, Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics.

[12]  L. W. Coombe,et al.  Digital Calculation of Short-Circuit Currents in Large Complex-Impedance Networks [includes discussion] , 1956, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[13]  C. W. King,et al.  Logic for applying topological methods to electric networks , 1958, Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics.

[14]  J. M. Bennett,et al.  Digital computers and the load-flow problem , 1956 .

[15]  W. F. Tinney,et al.  A Digital Method for Obtaining a Loop Connection Matrix , 1960, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[16]  R. B. Shipley,et al.  A new direct matrix inversion method , 1959, Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics.

[17]  M. J. Lantz,et al.  Digital Short-Circuit Solution of Power System Networks Including Mutual Impedance , 1957, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[18]  N. Sato,et al.  Digital Calculation of Network Inverse and Mesh Transrormation Matrices , 1960, Transactions of the American Institute of Electrical Engineers Part III Power Apparatus and Systems.

[19]  A. Brameller,et al.  Some improved methods for digital network analysis , 1962 .

[20]  F. J. Maginniss,et al.  A New Automatic Program for Load-Flow Studies on the IBM 704 , 1959, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[21]  R. H. Jordan,et al.  Rapidly Converging Digital Load Flow , 1957, Transactions of the American Institute of Electrical Engineers Part III Power Apparatus and Systems.

[22]  P. Morse,et al.  Principles of Numerical Analysis , 1954 .

[23]  H. H. Happ,et al.  Power Flow Solution by Impedance Matrix Iterative Method , 1963 .

[24]  W. Tinney,et al.  Digital Solutions for Large Power Networks , 1957, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[25]  M. W. Humphrey Davies,et al.  Digital computers in power system analysis , 1961 .

[26]  L. A. Dunstan.  Machine Computation of Power Network Performance , 1947, Transactions of the American Institute of Electrical Engineers.

[27]  J. Todd,et al.  A Survey of Numerical Analysis , 1963 .

[28]  James E. Van Ness,et al.  Elimination Methods for Load-Flow Studies , 1961, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[29]  J. Gillis,et al.  Matrix Iterative Analysis , 1961 .

[30]  M. N. John.  A general method of digital network analysis particularly suitable for use with low-speed computers , 1961 .

[31]  J. B. Ward,et al.  Digital Computer Solution of Power-Flow Problems [includes discussion] , 1956, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[32]  G. W. Stagg,et al.  Automatic Evaluation of Power System Performance-Effects of Line and Transformer Outages , 1962, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[33]  H. W. Hale.  A Logic for Identifying the Trees of a Graph , 1961, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[34]  D. H. Tompsett,et al.  Power-system engineering problems with reference to the use of digital computers , 1956 .