Effects of Corona on Traveling Waves [includes discussion]

A wave-front-time dependent corona model for transmission-line surge calculations

“…As for the former viewpoint, Wagner et al actually measured the charge-voltage qv curve and accounted for the reduction of the propagation speed by the corona by a calculation considering the nonlinear distributed capacitance obtained as the slope of the curve [1]. As for the latter viewpoint, Umoto and Hara proposed a method to solve the nonlinear wave equation based on Peeks square-law expression and expressions for the increase of the capacitance and the increase of the distributed leakage loss [2].…”

Modified field‐to‐line coupling model for simulating the corona effect on the lightning induced voltages of multi‐conductor transmission lines over a lossy ground

“…To obtain the approximate solutions for the voltage and current, Galerkin method [24] is applied to (3), that is to say, the weight functions ω i 1 and ω i 2 for the ith subsection are also triangle functions, the same as Φ i 1 (x) and Φ i 2 (x).…”

“…The corona effect is often modelled as an increase of equivalent capacitance between the lines to the ground due to the generation of space charges, and the equivalent capacitance is estimated from experimental chargevoltage (q-v) curve from a macroscopic point of view. This kind of model was first proposed by Wagner and Lloyd [1], in which the transmission line was divided into several π equivalent circuit sections and the shunt capacitance of each π section was replaced with a capacitance determined by the piecewise linearisation of the q-v curve. In [2], the q-v curve was treated in the same way as in [1] and the corona effect was modelled by an additional voltagedependent parallel branch composed of a capacitance paralleled with a resistance and in series with a diode.…”

“…This kind of model was first proposed by Wagner and Lloyd [1], in which the transmission line was divided into several π equivalent circuit sections and the shunt capacitance of each π section was replaced with a capacitance determined by the piecewise linearisation of the q-v curve. In [2], the q-v curve was treated in the same way as in [1] and the corona effect was modelled by an additional voltagedependent parallel branch composed of a capacitance paralleled with a resistance and in series with a diode. In [3], Inoue proposed a more accurate piecewise function to describe the q-v curve by a trial-and-error procedure and T equivalent cascade circuit was used to model the transmission line, which is actually identical to the one proposed in [1].…”

“…In [2], the q-v curve was treated in the same way as in [1] and the corona effect was modelled by an additional voltagedependent parallel branch composed of a capacitance paralleled with a resistance and in series with a diode. In [3], Inoue proposed a more accurate piecewise function to describe the q-v curve by a trial-and-error procedure and T equivalent cascade circuit was used to model the transmission line, which is actually identical to the one proposed in [1]. In 1997, Noda carried on an intensive research on this problem and an efficient method was proposed [4].…”