Abstract

Finding cost efficient earthing system design with acceptable level of safety might be quite tedious work. Thus, many earthing system engineers try to find the most suitable design either by employing only their best experience or taking advantage of some more complex optimisation programs. Although both approaches might work well under certain circumstances, they might fail either due to counter-intuitiveness of the specific situation or by misunderstanding of the applied optimisation method, its limitations etc. Thus, in this paper, the earthing system design optimisation problem was addressed by analysing optimisation simulation results together with conducted sensitivity analysis. In the paper, a simple double ring earthing system was optimised while using five different optimisation methods. The earthing system was placed in different horizontally stratified soil models and the earthing system was optimised by minimising touch voltages instead of commonly minimised earth potential rise. The earthing system was modelled by Ansys Maxwell software. Apart from using Ansys Maxwell built-in optimisers, the possible solution space has also been mapped by performing sensitivity analysis with changing the earthing system design dimensions and the results of optimisation were compared and validated. It was found out that the Sequential Non-Linear Programming Optimisation technique was quite superior to the other techniques. Additionally, in most cases, the Ansys Maxwell optimiser was able to found optimal solution; however, in some cases, based on the initial conditions, it might get stuck in local minima or the results might be influenced by the solution noise. Additionally, some quite non intuitive dependencies of earthing system electrodes positions had been found when different spatial dimensions constraints are used.

Highlights

  • The earthing system (ES) is one of the necessary parts of distribution and transmission power networks

  • As the Hessian matrix increase rapidly with the number of optimised design variables the computational time might increase rapidly and this optimizer is recommended for optimisation of 1–2 design variables only

  • The appropriateness of using the Ansys Maxwell optimizer to optimize ES design was demonstrated on couple of examples

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Summary

Introduction

The earthing system (ES) is one of the necessary parts of distribution and transmission power networks. Some of the papers were dealing with finding/proposing a method to optimize the design by appropriate ES conductor allocation in the soil with reducing earthing system total EPR only [4]. This approach is based on the fact that, if there are only expected smooth changes in the solution, by choosing appropriate parametric step, the whole solution space can be mapped and this solution space is later searched for the so-called optimal solution according to the objective function The results of this parametric analysis can be used as a recommendation for the designing engineer if properly depicted [12]. The solution space was searched first and the results that were obtained from sensitivity analysis were compared with results from the built-in Maxwell optimisers

Ansys Maxwell Optimisers
Earthing
Results
TV1m solution surfaces with diameters
Ansys Maxwell Earthing
Ansys Maxwell Earthing System Optimisation Results
Part 2.
Conclusions
Full Text
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