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

Abstract

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.'

Practical multi‐area bi‐objective environmental economic dispatch equipped with a hybrid gradient search method and improved Jaya algorithm

“…As can be seen in (8), the losses are dependent on loading of each individual generating unit through a set of constants. Compared to other loss formula [29], this technique is extensively common in many literature [10], [14], [19], [20], [22], [23] and is derived by Kron [27] using tensorial methods, with a significantly lower computational and measurement requirements [29], [30]. The existence of off-nominal turn ratios and their illustration on an AC power network analyzer with several interconnected transmission systems are considered in tensorial techniques to drive (8).…”