1. General

The laws of propagation for voltages v and currents i are derived from the telegrapher's equations.

The partial differential equations defining the regime (v, i ) of the line as a function of its linear constants are : $\begin{array}{l} \frac{δ v}{δ x} = r i + l \frac{δ i}{δ t} \\ \frac{δ i}{δ x} = g v + c \frac{δ v}{δ t} \end{array}$

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page Overhead lines. Electrical parameters

Reduction of and [] matrices to phase conductors only

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References

General references

(1) - CARSON (J.R.) - Wave propagation in overhead wires with earth return. - Bell System technical journal, n° 5, p. 539-554, oct. 1926.
(2) - POLLACZEK (F.) - Sur le champ produit par un conducteur simple infiniment long parcouru par un courant...

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