Tensorial Analysis of Integrated Transmission Systems; Part IV. The Interconnection of Transmission Systems [includes discussion]

A radically new method is developed for solving integrated transmission systems (as well as other types of extensive physical systems) without calculating the inverse of large matrices, or without using a large a-c analyzer. The physical system is torn up into several parts, each part is solved separately (either on an a-c analyzer or by a digital computer), and afterward the component solutions are interconnected into the solution of the original system by a series of transformations. The method is illustrated by establishing the individual and total loss equations of a power pool, whose component companies form several closed loops. A numerical example is worked out in a companion paper.1

[1]  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.

[2]  L. K. Kirchmayer,et al.  Analysis of losses in loop-interconnected systems , 1953, Electrical Engineering.

[3]  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.

[4]  Gabriel Kron,et al.  A Set of Principles to Interconnect the Solutions of Physical Systems , 1953 .

[5]  L. B. Cowgill.  Northwest Power Pool Interchange , 1951, Transactions of the American Institute of Electrical Engineers.

[6]  L. K. Kirchmayer,et al.  Analysis of Losses in Loop-Interconnected Systems [includes discussion] , 1953, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[7]  Gabriel Kron,et al.  Tensorial Analysis of Integrated Transmission Systems Part I. The Six Basic Reference Frames , 1951, Transactions of the American Institute of Electrical Engineers.