Park equations for distributed constants line

Abstract

By using the Park‐transformation the three‐phase TEM‐mode is analysed under the two different points of view: circuit and field. The first one leads, in terms of voltage and current line‐space vector, to a distributed constants active line. The second one leads, in a formal way, to the deduction of the “Maxwell‐Park equation”. The obtained result brings again, in terms of distributed constants, to the instantaneous sequence components algebra. This result allows a unified analysis, valid for any regime, of the poly‐phase travelling phenomena. This approach is particularly effective in presence of harmonics and sequence components. Under these circumstances, due to the wide spread of this kind of phenomena, the extension of the Park approach, already consolidated for the lumped constants, to the distributed constants case appears an obliged step particularly useful in a conceptual and practical path.

Citation

Leva, S. and Paolo Morando, A. (2001), "Park equations for distributed constants line", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 20 No. 4, pp. 1015-1031. https://doi.org/10.1108/EUM0000000005767