Analysis of Networks with Complex Autotransformers

The open-path-closed-path (mixed junction pair and mesh) relations derived in Part I1 are related by invariant transformations and their inverses to the open-path (junction pair) relations with reference ground and reference different from ground. Invariant transformations are also derived for transforming from one set of open-path-closed-path relations to any other set of open-path-closed-path relations. It is also demonstrated that the methods of Part I are applicable to general networks, with impedances and/or simple and complex autotransformers to ground. The immediate major application of the open-path-closed-path reference frame is in the area of total losses and incremental losses.

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

[2]  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.

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

[4]  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.

[5]  R. Bruce Shipley,et al.  ORACLE Computes Line Constants With Tensors [includes discussion] , 1955, Transactions of the American Institute of Electrical Engineers Part III Power Apparatus and Systems.

[6]  Gabriel Kron,et al.  Tensorial Analysis of Integrated Transmission Systems; Part II. Off-Nominal Turn Ratios [includes discussion] , 1952, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[7]  Gabriel Kron.  Tensorial Analysis of Integrated Transmission Systems; Part III. The "Primitive" Division [includes discussion] , 1952, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

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

[9]  L. K. Kirchmayer,et al.  Digital Calculation of Network Impedances [includes discussion] , 1955, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[10]  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.