Diakoptics—The solution of system problems by tearing

A piecewise procedure called diakoptics is described. An overview of the theory is presented, and a summary of the applications that have been carried out to date in the power industry has been included. This paper is not a mere recapitualtion, but contains a number of new ideas which have not been presented previously. Only relevant mathematics have been included, and derivations or detailed mathematical presentations that appear elsewhere have been referenced. The paper starts with a historical review in which the classic problem through which diakoptics was conceived is presented. The tearing cases considered include torn subdivisions radially attached as well as torn subdivisions not attached. Only the most basic cases are considered for brevity and clarity of presentation.

[1]  K. Wang.  Piecewise method for large-scale electrical networks , 1973 .

[2]  H. Happ,et al.  The operation and control of large interconnected power systems , 1973 .

[3]  H. H. Happ,et al.  Diakoptics and system operations: automatic generation control in multiareas , 1973 .

[4]  H. H. Happ,et al.  Multi-Level Tearing and Applications , 1973 .

[5]  H. H. Happ,et al.  Power pools and superpools , 1973, IEEE spectrum.

[6]  H. H. Happ,et al.  Tearing Algorithms for Large-Scale Network Programs , 1971 .

[7]  H. H. Happ,et al.  Multi-Area Dispatch , 1971 .

[8]  H. H. Happ,et al.  Pieccewise Load Fllow Solutions of Very Large Size Networks , 1971 .

[9]  H. H. Happ,et al.  The Interarea Matrix: A Tie Line Flow Model for Power Pools , 1971 .

[10]  M. Riaz.  Piecewise solutions of electrical networks with coupling elements , 1970 .

[11]  H. H. Happ,et al.  Multicomputer Configurations and Diakoptics: Dispatch of Real Power in Power Pools , 1969 .

[12]  H. H. Happ,et al.  The Piecewise Solution of the Impedance Matrix Load Flow , 1968 .

[13]  H. H. Happ,et al.  Z Diakoptics - Torn Subdivisions Radially Attached , 1967 .

[14]  F. H. Branin,et al.  Computer methods of network analysis , 1967, DAC.

[15]  D. V. Steward.  Partitioning and Tearing Systems of Equations , 1965 .

[16]  B. Kent Harrison,et al.  A Discussion of Some Mathematical Techniques Used in Kron’s Method of Tearing , 1963 .

[17]  R. Onodera.  A new approach to Kron's method of analysing large systems , 1961 .

[18]  J. Roth.  An application of algebraic topology: Kron’s method of tearing , 1959 .

[19]  J P Roth,et al.  THE VALIDITY OF KRON'S METHOD OF TEARING. , 1955, Proceedings of the National Academy of Sciences of the United States of America.