Efficient and passive modeling of transmission lines by using differential quadrature method

This paper introduces a new transmission line modeling approach that employs an efficient numerical approximation technique called the differential quadrature method (DQM). The transmission line has been discretized and the approximation framework is constructed by using the fifth order differential quadrature method; consequently an improved discrete equivalent-circuit model is developed in the paper. The DQM-based modeling requires far fewer intervening grid points for building an accurate discrete model of the transmission line than numerical methods like FD requires. It introduces far less state variables than FD-based models; therefore, it has higher efficiency. The DQM technique can be integrated in a circuit simulator since it preserves the passivity