Park's equations for distributed constants line

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.