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Abstract

Physical dynamical systems may be modelled by connecting wave-transmitting elements using junctions that depict the relations of energy transmission. Elements transmit wave energy from one end to the other end and junctions reallocate energy to those attached elements. The scattering coefficients of junctions may be derived by satisfying the continuity constitutive relations and energy conservations. The scattering coefficients expressed in general forms of 13 different junctions demonstrated in this paper permit systems with multiple energy domains to be modelled and are applicable to modelling distributed, lumped and mixed type systems. Careful selection of the correct types of junctions and construction of the system topology are keys to successfully modelling physical systems.

Keywords

junction wave scattering transmission line modelling

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Junction characteristics of energy wave methods

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