Titlebook: Mathematical Models of Electrical Network Systems; Theory and Applicati Andrzej Kłos Book 2017 Springer International Publishing AG 2017 El

感情

Bravura

Algebraic Model of Current–Voltage VectorsThe algebraic models of currents and voltages have been derived in the previous chapters. In this chapter, the important physical notion—the combined current–voltage vector—is defined and described.

evaculate

Kirchhoff’s Laws Using Matrix ,One of the main results of the algebraic models of current and voltage states, derived in previous chapters, is the introduction of two .-dimensional linear spaces (.—number of network branches).

乱砍

Current–Voltage Functional RelationsUp to this point, the branch currents and branch voltages of a network system have been assumed to be unrelated, except that the current space . and the voltage space . are orthogonal and that individual current and voltage vectors obey the power law . (see Chap. .).

Paraplegia

General Comments to Part IThe book presents a modern and non-conventional approach to the theoretical analysis and solution of electrical networks systems. The generally unknown interrelations of network quantities and the formulations of the fundamental network laws are derived. Some possibilities of its application in network analysis and solution are given.

ELATE

Sinus-Node

Network Solution Method Using Algebraic Network ModelUsing the algebraic model of network derived in Part I, the general method of linear network solution is derived in this section. Suppose that the graph of .-branch network is known, and the topology is unrestricted, except that a tree includes voltage sources and a cotree includes current sources.

COLON

GNAT

Method of Arbitrary Input DataThe existing solution methods of linear networks, which have great number of branches, are based on certain assumptions concerning the kind, number, and distribution of given input data, which are strictly defined.

大约冬季

Logical Optimization Method of Network SystemIn this chapter, the logical method of finding the quasi-optimal state of network system is derived, using the system admittance and system impedance matrices . and . of a network [see Chap. 8, Eqs. (.) and (.)]. The logical method is illustrated on a simple example of nine-branch power system network.