Abstract
In this paper a model for Nonuniform Transmission Lines for electromagnetic transient analysis that incorporates frequency dependency of electrical parameters, variation of line electrical parameters with respect to distance, and distributed excitations due to incident electromagnetic fields is presented. The model is developed using the Method of Characteristics in the actual physical domain instead of the Modal Domain; this simplifies the mathematical development and the final equations. Moreover, the equations of the resultant model are valid either for two-conductor lines or for multiconductor lines without any change; this can be an advantage when the computer programming language considers a scalar as a 1x1 matrix. The proposed numerical model is developed under the hypothesis that the dielectric surrounding the conductors is homogenous. It is shown that in this case the characteristic curves of a Nonuniform Transmission Line become straight lines. Finally, the model is validated by comparison with results obtained using the Numerical Laplace Transform method.
Highlights
In most studies of electromagnetic transients, the knowledge of voltages and currents at interior points of transmission lines in general has no practical importance and is not required to determine the operation state of the electrical network
The Method of Characteristics is applied to the partial differential equations (PDEs) of nonuniform Transmission Lines excited by external electromagnetic fields, where the equation of the longitudinal voltage drop is expressed in terms of the time image of the Penetration Impedance, instead of the transient resistance [17], as it has been done in most of the works published up to now
In this work a model for aerial Nonuniform Transmission Lines (NUTLs) illuminated by incident electromagnetic fields for time domain electromagnetic transient studies has been presented
Summary
In most studies of electromagnetic transients, the knowledge of voltages and currents at interior points of transmission lines in general has no practical importance and is not required to determine the operation state of the electrical network. In [5] the Finite Difference Time Domain (FDTD) Method is used to directly solve the MTL partial difference equations for the special case of frequency independent electrical parameters It is more scarce, there are some works of Nonuniform transmission lines modeling for frequency domain electromagnetic transients computation. The Method of Characteristics allows transforming the time domain transmission line partial differential equations (PDEs) to ordinary differential equations (ODEs) It has been used in the analysis of single-phase transmission lines with nonlinear capacitance due to corona effect [14], uniform MTLs with external electromagnetic field excitation [15], and nonuniform MTLs [16]. This leads to a further reduction of the complexity of the numerical model but can impose a restriction for its application to other types of transmission lines
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