Load Flow Analysis and the Impact of a Solar PV Generator in a Radial Distribution Network

Authors

  • Mohamed Ali Zdiri CEM Laboratory, Engineering School of Sfax, Tunisia
  • Bilel Dhouib CEM Laboratory, Engineering School of Sfax, Tunisia
  • Zuhair Alaas Department of Electrical Engineering, Faculty of Engineering, Jazan University, Saudi Arabia
  • Fatma Ben Salem CEM Laboratory, Engineering School of Sfax, Tunisia
  • Hsan Hadj Abdallah CEM Laboratory, Engineering School of Sfax, Tunisia
Volume: 13 | Issue: 1 | Pages: 10078-10085 | February 2023 | https://doi.org/10.48084/etasr.5496

Abstract

The distribution system acts as a conduit between the consumer and the bulk power grid. Due to characteristics such as a high resistance/reactance ratio, distribution networks cannot be solved using conventional methods, such as the Gauss-Seidel and Newton–Raphson. This research proposes a method for the calculation of the power flow in radial networks that considers their wide range of resistance and reactance values, PV generator characteristics, and radial structure. An iterative methodology is employed, with each iteration beginning with the branch that has the highest accurate power flow solution. The procedure is reliable and effective over various workloads and network configurations. To confirm the effectiveness of the suggested technique on the simple and IEEE 33-bus radial distribution system, simulations were carried out in MATLAB. The implications of including a renewable energy source, such as a PV generator, in the network under consideration are investigated by simulation result comparison. The optimal location of the PV generator was also determined using an Artificial Neural Network (ANN) controller. The results of the identification process improve the already exceptional efficacy and performance of the ANN controller.

Keywords:

radial network, PV generator, power flow, identification, ANN controller, MATLAB

Downloads

Download data is not yet available.

References

M. Achache, "A polynomial-time weighted path-following interior-point algorithm for linear optimization," Asian-European Journal of Mathematics, vol. 13, no. 2, Mar. 2020, Art. no. 2050038. DOI: https://doi.org/10.1142/S1793557120500382

P. Armaos, "A Study of Joint Cost Inclusion in Linear Programming Optimization," Engineering, Technology & Applied Science Research, vol. 3, no. 4, pp. 473–478, Aug. 2013. DOI: https://doi.org/10.48084/etasr.327

B. Badri-Koohi, R. Tavakkoli-Moghaddam, and M. Asghari, "Optimizing Number and Locations of Alternative-Fuel Stations Using a Multi-Criteria Approach," Engineering, Technology & Applied Science Research, vol. 9, no. 1, pp. 3715–3720, Feb. 2019. DOI: https://doi.org/10.48084/etasr.2474

M. Bouafia, D. Benterki, and A. Yassine, "A new efficient short-step projective interior point method for linear programming," Operations Research Letters, vol. 46, no. 3, pp. 291–294, May 2018. DOI: https://doi.org/10.1016/j.orl.2018.02.004

J.-P. Crouzeix and B. Merikhi, "A logarithm barrier method for semi-definite programming," RAIRO - Operations Research, vol. 42, no. 2, pp. 123–139, Apr. 2008. DOI: https://doi.org/10.1051/ro:2008005

J.-P. Chehab and M. Raydan, "Geometrical properties of the Frobenius condition number for positive definite matrices," Linear Algebra and its Applications, vol. 429, no. 8, pp. 2089–2097, Oct. 2008. DOI: https://doi.org/10.1016/j.laa.2008.06.006

R. M. Freund and S. Mizuno, "Interior Point Methods: Current Status and Future Directions," in High Performance Optimization, H. Frenk, K. Roos, T. Terlaky, and S. Zhang, Eds. Boston, MA, USA: Springer US, 2000, pp. 441–466. DOI: https://doi.org/10.1007/978-1-4757-3216-0_18

N. Karmarkar, "A new polynomial-time algorithm for linear programming," in Proceedings of the sixteenth annual ACM symposium on Theory of computing, New York, NY, USA, Sep. 1984, pp. 302–311.

A. Leulmi and S. Leulmi, "Logarithmic Barrier Method Via Minorant Function for Linear Programming | Journal of Siberian Federal University," Journal of Siberian Federal University. Mathematics & Physics, vol. 12, no. 2, pp. 191–201, 2019. DOI: https://doi.org/10.17516/1997-1397-2019-12-2-191-201

A. Leulmi, B. Merikhi, and D. Benterki, "Study of a Logarithmic Barrier Approach for Linear Semidefinite Programming," Journal of Siberian Federal University. Mathematics & Physics, vol. 11, no. 3, pp. 1–13, 2018. DOI: https://doi.org/10.17516/1997-1397-2018-11-3-300-312

N. Karmarkar, "A new polynomial-time algorithm for linear programming," in Proceedings of the sixteenth annual ACM symposium on Theory of computing, New York, NY, USA, Sep. 1984, pp. 302–311. DOI: https://doi.org/10.1145/800057.808695

H. Mansouri and M. Zangiabadi, "An adaptive infeasible interior-point algorithm with full-Newton step for linear optimization," Optimization, vol. 62, no. 2, pp. 285–297, Feb. 2013. DOI: https://doi.org/10.1080/02331934.2011.611881

M. R. Rezoug, M. Benaouadj, D. Taibi, and R. Chenni, "A New Optimization Approach for a Solar Tracker Based on an Inertial Measurement Unit," Engineering, Technology & Applied Science Research, vol. 11, no. 5, pp. 7542–7550, Oct. 2021. DOI: https://doi.org/10.48084/etasr.4330

H. Wolkowicz and G. P. H. Styan, "Bounds for eigenvalues using traces," Linear Algebra and its Applications, vol. 29, pp. 471–506, Feb. 1980. DOI: https://doi.org/10.1016/0024-3795(80)90258-X

J. F. Bonnans, J. C. Gilbert, C. Lemaréchal, and C. A. Sagastizábal, Numerical Optimization: Theoretical and Practical Aspects (Universitext). Berlin, Heidelberg, Germany: Springer-Verlag, 2006.

R. T. Rockafellar, Convex Analysis: (PMS-28), vol. 30. Princeton, NJ, USA: Princeton University Press, 1970.

Downloads

How to Cite

[1]
Zdiri, M.A., Dhouib, B., Alaas, Z., Ben Salem, F. and Hadj Abdallah, H. 2023. Load Flow Analysis and the Impact of a Solar PV Generator in a Radial Distribution Network. Engineering, Technology & Applied Science Research. 13, 1 (Feb. 2023), 10078–10085. DOI:https://doi.org/10.48084/etasr.5496.

Metrics

Abstract Views: 575
PDF Downloads: 610

Metrics Information

Most read articles by the same author(s)