## Inductance & Reactance

Inductance of a cable consist of two parts:

1. the self-inductance of the conductor
2. the mutual inductance between conductors

## BICC Electrical Cables Handbook

The BICC Electric Cables Handbook, give the formuale for inductance as:

$L=\left(K+0.2\mathrm{ln}\frac{2S}{d}\right)×{10}^{-6}$

where:
L - cable inductance, H.m-1
K - conductor formation constant
S - axial spacing between conductors within a cable, mm
- axial spacing between condcutors in trefoil, mm
- 1.26 x phase spacing of flat formation conductors, mm
d - condcutor diamters, mm

For 2, 3 or 4-core circular or sector-shaped cables, multiply the above by 1.02 to obtain the inductance.  Multiply by 0.97 for 3-core oval conductors.

Typical values of K

Number of wire in conductor  K
1 (solid) 0.0500
3  0.0778
7  0.0642
19  0.0554
37  0.0528
61 and over  0.0514

### Reactance

The reactance of a conductor is given by:

$X=2πfL$

where:

X - reactance in Ω.m-1
L i indcutance in H.m-1

## CENELEC CLC/TR 50480

Equations for inductance are given by CENELEC CLC/TR 50480 "Determination of cross-sectional area of conductors and selection of protective devices".

Three-line or line to line:

Line to neutral:

where:
x - reactance per metre of conductors, mΩ.m-1
Xc - reactance of conductor, mΩ
XcN
XcPE -
XcPEN

See Impedance