Abstract
The installation of HVAC underground cables became more common in recent years, a trend expected to continue in the future. Underground cables are more complex than overhead lines and the calculation of their resistance and reactance can be challenging and time consuming for frequencies that are not power frequency.
Different methods exist for estimating the impedance of single-core cables. The IEC60287-1-1 standard presents equations that may be use for power frequencies, whereas the loop-method, based on Bessel equations, is typically used for higher frequencies.
Simplifications of the reference formula using Bessel equations exist, but they still have some complexity, e.g., hyperbolic cotangents and hyperbolic cosecants are used. Moreover, the series impedance matrix that is designed with these equations and used to estimate the resistance and reactance, requires the summation of at least eight different terms, all calculated in a different way.
This paper simplifies the equations used in the loop method, by means of expansions in Taylor series, with other further simplifications that can be made for typical cable thicknesses and materials.
Different methods exist for estimating the impedance of single-core cables. The IEC60287-1-1 standard presents equations that may be use for power frequencies, whereas the loop-method, based on Bessel equations, is typically used for higher frequencies.
Simplifications of the reference formula using Bessel equations exist, but they still have some complexity, e.g., hyperbolic cotangents and hyperbolic cosecants are used. Moreover, the series impedance matrix that is designed with these equations and used to estimate the resistance and reactance, requires the summation of at least eight different terms, all calculated in a different way.
This paper simplifies the equations used in the loop method, by means of expansions in Taylor series, with other further simplifications that can be made for typical cable thicknesses and materials.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 2015 50th International Universities Power Engineering Conference (UPEC) |
| Number of pages | 5 |
| Publisher | IEEE Press |
| Publication date | Sept 2015 |
| Pages | 1-5 |
| ISBN (Print) | 978-1-4673-9682-0 |
| DOIs | |
| Publication status | Published - Sept 2015 |
| Event | 2015 50th International Universities Power Engineering Conference (UPEC) - Stoke On Trent, United Kingdom Duration: 1 Sept 2015 → 4 Sept 2015 |
Conference
| Conference | 2015 50th International Universities Power Engineering Conference (UPEC) |
|---|---|
| Country/Territory | United Kingdom |
| City | Stoke On Trent |
| Period | 01/09/2015 → 04/09/2015 |
Keywords
- Underground Cables
- Series Impedance Matrix
- Taylor Series