Analysis of Physically Symmetrical Lossy Three-Phase Transmission Lines in Terms of Space Vectors

Abstract

The analysis of the three-phase transverse-electromagnetic (TEM) line based on the Park approach represents, under the theoretical and the applicative point of view, an important analytical tool. For these reasons, this paper presents the analysis of lossy (quasi-TEM) three-phase transmission lines in terms of three-phase vectors, based on the Park transformation. The three-phase transmission-line transient analysis presented in this paper emphasizes the conceptual contents specific to the Park approach. Furthermore, applied to some examples, it gives very important results for the practical analysis of a lossy three-phase transmission line.

Study of propagation phenomena in three-phase form wound machines operating at medium and high frequency

“…with an expression similar to the one representative of a quasi-TEM transmission line [17]. The item that differentiates the two models is the different values of the distributed parameters present in the equations.…”

“…Due to the analogy with the model of a transmission line, the analytical solutions in terms of Clarke and zero-sequence variables are derived by applying the analytical procedure described in [17]. This calculation first requires the definition of the boundary conditions for the model.…”

“…The rise and fall times are indicated as t r . This wave is the input of the cascade of the cable [17] and induction machine network models.…”

“…It is important to underline that the distributed-constant Clarke model of an induction machine presented in this paper constitutes the first step in research that aims to develop a distributed-constant model of asynchronous drives (composed of an induction machine, cable [17] and AC/DC drive [18]). The analytical solution is mandatory to develop numerical methods that allow us to implement on a standard PC-using standard software (i.e., Matlab, EMTP) [18] that can be very useful in the analysis of certain industrial problems, like the analysis of the correct installation of the inductive loads, such as transformers and asynchronous machines, subjected to frequent transient events such as repeated energising or power converter switching [3], or to design a drive that matches the EMC normative [18].…”

A Physical Decomposition of Three-Phase Variables into Common and Differential Mode Quantities

“…Multiplying each member of the system (5) for the transformation matrix 0 [ ] ′ T -as defined in (3) (6) Observing that this matrix does not contain function of time terms, it yields to:…”