Electrical resistance of conductor

Electrical AC resistance of conductor at operating temperature.

Skin effect in solid round circular conductors and proximity effects between solid round circular conductors were deeply investigated, specially by A.H.M. Arnold, and formulae were worked out for $y_s$ and $y_p$, through tedious calculations to approximate the Bessel's functions involved in the solution of Maxwell's equations.

Cigre TB 880 GP 25: In case of single- and three-core magnetic armoured or shielded cables, the AC resistance of the conductor should be calculated with the factor 1.5 like for pipe type cable systems.

Symbol

$R_c$

Unit

$\Omega$/m

Formulae

$R_{cDC} \left(1+y_s+y_p\right)$	AC resistance of cable conductor at operating temperature
$R_{cDC} \left(1+1.5\left(y_s+y_p\right)\right)$	AC resistance of pipe-type cable conductor at operating temperature
$R_{cDC} \left(1+y_c\right)$	AC resistance of PAC/GIL conductor at operating temperature
$R_{cDC}$	Resistance of conductor at operating temperature

Related

$R_{cDC}$

Electrical DC resistance of conductor [$\Omega$/m]

$y_c$

Skin and proximity effect factor for PAC/GIL conductor

$y_p$

Proximity effect factor of conductors

$y_s$

Skin effect factor of conductor

Used in

$B$

Susceptance [S/m]