Identification of the Heat Equation Parameters for Estimation of a Bare Overhead Conductor’s Temperature by the Differential Evolution Algorithm

This paper deals with the Differential Evolution (DE) based method for identification of the heat equation parameters applied for the estimation of a bare overhead conductor`s temperature. The parameters are determined in the optimization process using a dynamic model of the conductor; the measured environmental temperature, solar radiation and wind velocity; the current and temperature measured on the tested overhead conductor; and the DE, which is applied as the optimization tool. The main task of the DE is to minimise the difference between the measured and model-calculated conductor temperatures. The conductor model is relevant and suitable for the prediction of the conductor temperature, as the agreement between measured and model-calculated conductor temperatures is exceptional, where the deviation between mean and maximum measured and model-calculated conductor temperatures is less than 0.03 °C.

[1]  Gilbert De Mey,et al.  Harmonic analysis of dynamic thermal problems in high voltage overhead transmission lines and buried cables , 2014 .

[2]  Jan Sedláček,et al.  Application of A Line Ampacity Model and Its Use in Transmission Lines Operations , 2014 .

[3]  Boguslaw Wiecek,et al.  Electrothermal analysis and temperature fluctuations’ prediction of overhead power lines , 2017 .

[4]  Pawel Pytlak,et al.  Modelling precipitation cooling of overhead conductors , 2011 .

[5]  Joe-Air Jiang,et al.  On Dispatching Line Ampacities of Power Grids Using Weather-Based Conductor Temperature Forecasts , 2018, IEEE Transactions on Smart Grid.

[6]  J. Pihler,et al.  Identification of thermal parameters for transformer FEM model by differential evolution optimization algorithm , 2016, 2016 International Conference Multidisciplinary Engineering Design Optimization (MEDO).

[7]  Pei Zhang,et al.  Impact of Conductor Temperature Time–Space Variation on the Power System Operational State , 2018 .

[8]  Fan Yang,et al.  Real-Time Transient Thermal Rating and the Calculation of Risk Level of Transmission Lines , 2018 .

[9]  Peter Kitak,et al.  New design of a medium voltage indoor post insulator , 2017, IEEE Transactions on Dielectrics and Electrical Insulation.

[10]  N. P. Schmidt Comparison between IEEE and CIGRE ampacity standards , 1999 .

[11]  P. Virtic,et al.  Determining Parameters of a Line-Start Interior Permanent Magnet Synchronous Motor Model by the Differential Evolution , 2008, IEEE Transactions on Magnetics.

[12]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[13]  Mario Manana,et al.  Comparison between IEEE and CIGRE Thermal Behaviour Standards and Measured Temperature on a 132-kV Overhead Power Line , 2015 .

[14]  J. Pihler,et al.  Determining a Gas-Discharge Arrester Model's Parameters by Measurements and Optimization , 2010, IEEE Transactions on Power Delivery.

[15]  Michael Muhr,et al.  Experiences with the Weather Parameter Method for the use in overhead line monitoring systems , 2008, Elektrotech. Informationstechnik.