Distributed-parameter circuits theory

In Chapter 2, wave propagation characteristics and transients in an overhead transmission line are described. The distributed parameter circuit theory is applied to solve the transients anal5 cally. The EMTP is then applied to calculate the transients in a power system composed of the overhead line and a substation. Various simulation examples are demonstrated, together with the comparison of field test results. 

As in Chapter 2, a basic characteristic of wave propagation on a cable is explained anal5 cally based on the distributed parameter circuit theory, along with EMTP simulation examples. 

Ametani, A. 1990. Distributed—Parameter Circuit Theory. Tokyo, Japan Corona Pub. Co. 

As a transient phenomenon can shut down a building or an entire city, transient analysis is crucial to managing and designing electrical systems. Power System Transients Theory and Applications discusses the basic theory of transient phenomena —including lumped- and distributed-parameter circuit theories — and provides a physical interpretation of the phenomena. It covers novel and topical questions of power system transients and associated overvoltages. 

Theory of Distributed-Parameter Circuits and Impedance/Admittance Formulas... 

In this chapter, a theory of distributed-parameter circuits is explained starting from the approximate impedance and admittance formulas of an overhead conductor. The derivation of the approximate formulas is described from the viewpoint of the physical behavior of current and voltage on a conductor. 

There exist powerful simulation tools such as the EMTP [35]. These tools, however, involve a number of complex assumptions and application limits that are not easily understood by the user, and often lead to incorrect results. Quite often, a simulation result is not correct due to the user s misunderstanding of the application limits related to the assumptions of the tools. The best way to avoid this type of incorrect simulation is to develop a custom simulation tool. For this purpose, the FD method of transient simulations is recommended, because the method is entirely based on the theory explained in Section 2.5, and requires only numerical transformation of a frequency response into a time response using the inverse Fourier/Laplace transform [2,6,36, 37, 38, 39, 40, 41-42]. The theory of a distributed parameter circuit, transient analysis in a lumped parameter circuit, and the Fourier/Laplace transform are included in undergraduate course curricula in the electrical engineering department of most universities throughout the world. This section explains how to develop a computer code of the FD transient simulations. 

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