Title :
Accurate Computation of Transient Profiles Along Multiconductor Transmission Systems by Means of the Numerical Laplace Transform
Author :
Nuricumbo-GuilleÌn, Rodrigo ; GoÌmez, Pablo ; Espino-Cortes, F.P. ; Uribe, F.A.
Author_Institution :
Electr. Eng. Dept., Inst. Politec. Nac. (IPN), Mexico City, Mexico
Abstract :
In this paper, transient internal profiles along multiconductor transmission lines are obtained from a model described in the q- s domain (spatial frequency-temporal frequency). In such domain, the telegrapher equations of the line are defined in a direct algebraic form. Applying boundary conditions, these equations can be easily solved for V (q,s) and I (q,s). Then, the inverse numerical Laplace transform is applied successively (twice) to obtain v (z,t) and i (z,t), that is, the voltage and current profiles along the line. Besides, since the line´s electrical parameters are defined in the frequency domain, the frequency dependence of such parameters is included in a straightforward manner. Test cases corresponding to an overhead line, a transformer winding, an underground power cable, and a transmission network are evaluated in order to demonstrate the accuracy and versatility of the proposed method. The results are compared with those obtained with Alternative Transients Program/Electromagnetic Transients Program and PSCAD/EMTDC at specific points along the transmission systems under analysis, given that the space discretization is cumbersome and prone to error accumulation in these time-domain simulation programs.
Keywords :
Laplace transforms; inverse transforms; power overhead lines; power system transients; transient analysis; current profile; inverse numerical Laplace transform; multiconductor transmission systems; numerical Laplace transform; overhead line; q-s domain; spatial frequency-temporal frequency; transformer winding; transient profiles; transmission network; underground power cable; voltage profile; EMTP; Frequency-domain analysis; Laplace equations; Mathematical model; Transient analysis; Windings; Numerical Laplace transform (NLT); transient internal overvoltages; transmission-line modeling;
Journal_Title :
Power Delivery, IEEE Transactions on
DOI :
10.1109/TPWRD.2014.2313526