Title :
Park´s equations for distributed constants line
Author :
Leva, Sonia ; Movando, A.P.
Author_Institution :
Dipt. di Elettronica, Politecnico di Milano, Italy
Abstract :
The paper proposes Park transformation of the partial differential equations relating to the distributed constants transmission line and associates the obtained bi-axial model to the corresponding electric network. A global analysis of obtained results, while confirming the total accordance with the ones usually given for the static three-phase lumped circuits, offer evidence for the wave propagation phenomena and the formulation of the Poynting theorem as seen by a Park observer. The importance of the method is specifically connected with the dynamic analysis of electric drives and EMC problems in presence of electronic converters. These components are usually analysed by Park´s variables: the extension of this approach to the line connected to the power components is therefore indispensable from the analytical point of view
Keywords :
electromagnetic wave propagation; matrix algebra; observers; partial differential equations; transmission line theory; EMC problems; Park equations; Park observer; Park transformation; Poynting theorem; TEM wave propagation; bi-axial model; distributed constants line; dynamic analysis; electric drives; electric network; electronic converters; global analysis; partial differential equations; power components; transmission line; Distributed parameter circuits; Electromagnetic compatibility; Electronic mail; Machinery; Maxwell equations; Network synthesis; Partial differential equations; Power transmission lines; Transmission line matrix methods; Transmission line theory;
Conference_Titel :
Electronics, Circuits and Systems, 1999. Proceedings of ICECS '99. The 6th IEEE International Conference on
Conference_Location :
Pafos
Print_ISBN :
0-7803-5682-9
DOI :
10.1109/ICECS.1999.813191