Study of line transients

Whether a cable is supplied with voltage U to deliver a direct current i, or with voltage V _a to deliver an alternating current i _a , the study of its behavior in power transmission is governed by partial differential equations known as telegraphists' equations.

Consider figure 1 (by convention, the source is at abscissa x = 0). We denote by λ the linear inductance in (H · m ^–1 ), γ the linear capacitance in F · m ^–1 and r the linear resistance in Ω · m ^...