Optimization of electric field intensities produced by power lines using particle swarm algorithms

Król, Krzysztof; Machczyński, Wojciech; Budnik, Krzysztof; Szymenderski, Jan

doi:10.1051/itmconf/20192801052

Cited by 8 publications

(18 citation statements)

References 3 publications

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“…Using the expression of the catenaries and manipulating the integrands we get [20, 31–35 ]:

q false(i false) = \frac{2 \cdot π \cdot ε_{0} \cdot V_{0} false(i false)}{(][, I 1_{false(i, j false)} - I 2_{false(i, j false)})}

With:

I 1_{false(i, j false)} = \int_{- L / 2}^{L / 2} \frac{\cosh ({x^{'}}_{j} / α) \cdot normald {x^{'}}_{j}}{\sqrt{{()(, x_{\ddot{ı}} - {x^{normal′}}_{j})}^{2} + {()(, y_{i} - {y^{normal′}}_{j})}^{2} + {()(, z_{i} - z ()(, {x^{normal′}}_{j}))}^{2}}}

I 2_{false(i, j false)} = \int_{- L / 2}^{L / 2} \frac{\cosh ({x^{'}}_{j} / α) \cdot normald {x^{'}}_{j}}{\sqrt{{()(, x_{\ddot{ı}} - {x^{normal′}}_{j})}^{2} + {()(, y_{i} - {y^{normal′}}_{j})}^{2...}}}

…”

Section: 3d Integration Techniquementioning

confidence: 99%

“…The electric field created by a catenary single conductor line on the air above ground is calculated by the superposition of the electric field created by the real catenary's line C 1 r′ plus the electric field created by the image of the line C 1 r′ , as it is depicted in Fig. 4 [20,[32][33][34][35][36]…”

Section: D Integration Techniquementioning

confidence: 99%

“…Using the expression of the catenaries and manipulating the integrands we get [20,[31][32][33][34][35]:…”

Section: D Integration Techniquementioning

confidence: 99%

“…Having calculated the line charges, the electric field at any point (x, y, z) above the ground surface is given by [20,[31][32][33][34][35]: (26) With: (see (27)) . Using the superposition technique, the electric field at any field point above or near the ground's surface from many catenaries C r′ can be calculated by using the following equation:…”

Section: D Integration Techniquementioning

confidence: 99%

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3D Modelling and simulation analysis of electric field under HV overhead line using improved optimisation method

Djekidel

Bessedik

Akef

2020

IET sci. meas. technol.

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This study proposes a three‐dimensional (3D) quasi‐static modelling of the electric field produced by high voltage (HV) overhead power lines using charge simulation method combined with intelligent optimisation algorithms, such as particle swarm optimisation, genetic algorithm and grey Wolf optimiser (GWO), to find the optimal values of parameters for an accurate calculation. Results show that the GWO works better than other algorithms. Several parameters affecting the electric field have been studied; it is observed that taking into account the effect of the exact catenary curve of the power line conductors is much more interesting particularly at the mid‐span level where the electric field becomes very significant. According to these values, the limits set by the International Commission on Non‐Ionising Radiation Protection guidelines for electric field strength are met for occupational and public exposure. The simulation results are compared with those obtained by the 3D Integration method, a fairly good agreement is found. To confirm the performance and effectiveness of the proposed method, the results obtained are also verified with measurement values available in the literature, a good similarity is achieved.

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“…Using the expression of the catenaries and manipulating the integrands we get [20, 31–35 ]:

q false(i false) = \frac{2 \cdot π \cdot ε_{0} \cdot V_{0} false(i false)}{(][, I 1_{false(i, j false)} - I 2_{false(i, j false)})}

With:

I 1_{false(i, j false)} = \int_{- L / 2}^{L / 2} \frac{\cosh ({x^{'}}_{j} / α) \cdot normald {x^{'}}_{j}}{\sqrt{{()(, x_{\ddot{ı}} - {x^{normal′}}_{j})}^{2} + {()(, y_{i} - {y^{normal′}}_{j})}^{2} + {()(, z_{i} - z ()(, {x^{normal′}}_{j}))}^{2}}}

I 2_{false(i, j false)} = \int_{- L / 2}^{L / 2} \frac{\cosh ({x^{'}}_{j} / α) \cdot normald {x^{'}}_{j}}{\sqrt{{()(, x_{\ddot{ı}} - {x^{normal′}}_{j})}^{2} + {()(, y_{i} - {y^{normal′}}_{j})}^{2...}}}

…”

Section: 3d Integration Techniquementioning

confidence: 99%

Section: D Integration Techniquementioning

confidence: 99%

“…Using the expression of the catenaries and manipulating the integrands we get [20,[31][32][33][34][35]:…”

Section: D Integration Techniquementioning

confidence: 99%

Section: D Integration Techniquementioning

confidence: 99%

See 2 more Smart Citations

3D Modelling and simulation analysis of electric field under HV overhead line using improved optimisation method

Djekidel

Bessedik

Akef

2020

IET sci. meas. technol.

View full text Add to dashboard Cite

show abstract

“…More recently, new studies have used other optimization algorithms that have paid much attention in optimization research today. One example are nature-inspired meta-heuristic algorithms, like PSO, that have shown to be faster than GA [79]. In this sense, [65] presents a new optimization procedure, based on PSO, for obtaining the loop position for minimizing the induced voltages in aerial pipes installed close to 400 kV OHL.…”

Section: Passive Loopsmentioning

confidence: 99%

A Survey on Optimization Techniques Applied to Magnetic Field Mitigation in Power Systems

2019

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With the continuous increase in the number and relevance of electric transmission lines and distribution networks, there is a higher exposure to the magnetic fields generated by them, leading to more cases of human electrosensitivity, which greatly necessitates the design and development of magnetic field mitigation procedures and, at the same time, the need to minimize both performance degradation and deterioration in the efficiency as well. During the last four decades, fruitful results have been reported about extremely low frequency magnetic field mitigation, giving a wide variety of solutions. This survey paper aims to give a comprehensive overview of cost-effective optimization techniques destined to magnetic field mitigation in power systems, with particular attention to the results reported in the last decade.

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Electric and Magnetic Field Estimation Under Overhead Transmission Lines Using Artificial Neural Networks

2021

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In this paper, a novel method for electric field intensity and magnetic induction estimation in the vicinity of the high voltage overhead transmission lines is proposed. The proposed method is based on two fully connected feed-forward neural networks to independently estimate electric field intensity and magnetic induction. The artificial neural networks are trained using the scaled conjugate gradient algorithm. Training datasets corresponds to different overhead transmission line configurations that are generated using an algorithm that is especially developed for this purpose. The target values for the electric field intensity and magnetic induction datasets are calculated using the charge simulation method and Biot-Savart law based method, respectively. This data is generated for fixed applied voltage and current intensity values. In instances when the applied voltage and current intensity values differ from those used in the artificial neural network training, the electric field intensity and magnetic induction results are appropriately scaled. In order to verify the validity of the proposed method, a comparative analysis of the proposed method with the charge simulation method for electric field intensity calculation and Biot-Savart law-based method for magnetic induction calculation is presented. Furthermore, the results of the proposed method are compared to measurement results obtained in the vicinity of two 400 kV transmission lines. The performance analysis results showed that proposed method can produce accurate electric field intensity and magnetic induction estimation results for different overhead transmission line configurations. INDEX TERMSArtificial neural networks (ANN), Biot-Savart (BS) law based method, Charge simulation method (CSM), Electric field intensity, Magnetic induction, Scaled Conjugated Gradient (SCG)

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Optimization of electric field intensities produced by power lines using particle swarm algorithms

Cited by 8 publications

References 3 publications

3D Modelling and simulation analysis of electric field under HV overhead line using improved optimisation method

3D Modelling and simulation analysis of electric field under HV overhead line using improved optimisation method

A Survey on Optimization Techniques Applied to Magnetic Field Mitigation in Power Systems

Electric and Magnetic Field Estimation Under Overhead Transmission Lines Using Artificial Neural Networks

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