How do you calculate pilot cable 50 Hz induced longitudinal voltage from a power cable?

[electrical429]

If pilot multicore cable is installed next to a power cable there will be induced voltage within the pilot cable. The magnitude of
50 Hz induced voltage depends on:
(a) the distance between the power cable, or line, and the auxiliary cable;
(b) the magnitude of the current in the power circuit. If the phase
conductors of the power circuit are physically symmetrically positioned
with respect to the auxiliary cable, only power-circuit zero-phasesequence current contributes to the induced voltage;
(c) the length of parallelism;
(d) the resistivity of the earth. The higher the resistivity, the less the screening
effect of the earth, the greater the induced voltage; and
(e) the screening effect of the auxiliary cable armouring.

Does anyone know a formula to calculate this induced voltage?

 

[7anoter4]

In my opinion, these articles do not answer all your questions, but provide an approach to the calculation of the induced tension.

https://www.ijera.com/papers/Vol4_issue9/Version 6/W4906159166.pdf

https://www.itu.int/rec/dologin_pub.asp?lang=f&id=T-REC-K.16-198811-W!!PDF-E&type=items

 

[7anoter4]

A simplified theory in IEEE 575