Tensorial Analysis of Integrated Transmission Systems Part I. The Six Basic Reference Frames

A method of analysis is outlined to solve steady-state problems arising in the operation of large interconnected transmission systems exchanging power between their own operating divisions and outside companies. Special attention is paid to the calculation of total and incremental losses for economic loading studies and to the allocation of incremental losses between the various subsidiary and outside companies. This first part restricts itself to lay the necessary foundations for the numerical study made in a companion paper¹ on the system of the American Gas and Electric Company.