By Moore R.L.
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Additional resources for A Character of Jordan Regions by Properties Having no Reference to Their Boundaries (1918)(en)(7s)
In deriving capacitance formulas the distribution of a charge, q, on the conductor surface is assumed to be uniform. This is true because the spacing between conductors in the usual transmission circuit is large and therefore the charges on surrounding conductors produce negligible distortion in the charge distribution on a particular conductor. Also, in the case of a single isolated charged conductor, the voltage between any two points of distances x and y meters radially from the conductor can be defined as the work done in moving a unit charge of one coulomb from point P2 to point Pr through the electric field produced by the charge on the conductor.
00159f which is a function of frequency. 1ogll-J&R where ohms per phase per mile of a single conductor TO =resistance the two ground wires in parallel. becomes (30) equivalent to (r, therefore ; where rB is the resistance the two ground wires). of one of Characteristics of Aerial Lines 42 GMR= geometric mean radius for the wires. ) Substituting ; or for r. o1397j two of two Chapter 3 The expression for self impedance is then transpositions. converted to zero-sequence self impedance in a manner analogous to the case of single conductors with earth return.
See Eqs. (10) and (21). from the tables of inductive-reactance spacing factors. ” For quick reference the curves of Figs. ” Since most three-phase lines or circuits do not have conductors symmetrically spaced, the above formula for positive- or negative-sequence inductive reactance is generally used. This formula, however, assumes that the circuit is transposed. When a single-circuit line or double-circuit line is not transposed, either the dissymmetry is to be ignored in the calculations, in which case the general symmetrical components methods can be used, or dissymmetry is to be considered, thus preventing the use of general symmetricalIn considering this dissymmetry, components methods.