Journal article
Solving the Overhead Transmission Conductor Heat Balance Equation Using the Newton Raphson Algorithm
IEEE transactions on power delivery, v 36(6), pp 3743-3751
Dec 2021
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
This paper utilizes the Newton Raphson (NR) iterative algorithm to solve a detailed heat balance equation for overhead transmission conductors, for the purpose of calculating a Dynamic Line Rating or temperature-dependent impedance using real-time or forecasted weather data. Provided ambient weather conditions, conductor parameters and electrical current passing through the conductor, a starting guess is formed and the iterative solution method arrives upon a solution within a preset solution tolerance. A simple method to approximate the Rayleigh Number / Nusselt Number and Reynolds Number / Nusselt Number relationships is proposed to ensure successful convergence. The paper performs a thorough, numeric electrothermal conductor simulation to demonstrate proper solution convergence. This exercise identifies a minimum conductor temperature rise necessary for the solution method to converge successfully. Error related to the minimum starting conductor temperature rise, and error introduced by the approximated air property functions is illustrated. The temperature solution method is compared with several well-known thermal models.
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Details
- Title
- Solving the Overhead Transmission Conductor Heat Balance Equation Using the Newton Raphson Algorithm
- Creators
- Shaun Murphy - PJM InterconnectionDagmar Niebur - Drexel University
- Publication Details
- IEEE transactions on power delivery, v 36(6), pp 3743-3751
- Publisher
- IEEE
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Electrical and Computer Engineering
- Web of Science ID
- WOS:000722005300049
- Scopus ID
- 2-s2.0-85099088996
- Other Identifier
- 991019168568104721
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- Web of Science research areas
- Engineering, Electrical & Electronic