Multi-criteria optimization of consumer reactive power distribution in power systems

When solving the problem of reactive power compensation, it should be noted that the placement of compensating devices in power system nodes is closely related to the reduction of active power losses and improvement of power quality. Many years of research in this area were mainly aimed at reducing the dimensionality of the problem to be solved and overcoming the information separation of individual subsystems.

The purpose of the research is to develop a methodology for calculating the reactive power compensation of consumers in power systems, which establishes the principles of mathematical modeling in the presence of uncertainties of various kinds: on the values of network parameters, "blurriness" of some technical limitations and uncertainty of optimization objectives in the selection and placement of compensating devices (CG).

Optimal placement of CHP is inherently a multicriteria problem. The main optimization objectives are formulated in the paper: increase of economic and technical indicators of network operation, optimal reduction of technological difficulties in the implementation of the PFC project and on their basis the following criteria are developed: maximum reduction of active and reactive power losses, optimal voltage regime in the power system nodes during the hours of its highest loads and minimum technological difficulties. A mathematical description of the problem according to the above criteria is given and a methodology for selecting the Pareto region according to these criteria under conditions of limited resource of compensating devices is developed. The search for an effective solution in the Pareto area uses the theory of fuzzy sets and is inherently subjective. Therefore, this kind of model is built on a combination of mathematical methods of optimization and not quite formal procedures performed by a person at different stages of decision making (expert procedures). The corresponding expert decision-making procedure requires determination of mode damages from non-participation of a group of potentially passive substations in PFC, which can be done according to the methodology recommended in the paper.

1. Mikaelyan, E. Yu. Optimisation of reactive power distribution of substations of power systems / E. Yu. Mikaelyan, M. A. Trubitsin // Inzhenerny Vestnik Dona. – 2021. – No. 3. – URL: http://ivdon.ru›ru/magazine/archive/n3y2021/6869 (date of access: 08/01/2023).

2. Conceptual modelling as a basis for the design of complex systems / V. A. Mohov, D. V. Grinchenkov, L. M. Vlasova [et al.] // Izvestiya vysshestvennykh uchebnykh obrazovanii. Severo-Kavkazskiy region. Techn. nauki. – 2018. – No. 2(198). – P. 40–47. – DOI 10.17213/0321-2653-2018-2-40-47.

3. Mikaelyan, E. Yu. To the question of calculation of steady-state modes of electric power systems / E. Yu. Mikaeliyan, M. A. Trubitsin // Engineering Bulletin of Don. – 2020. – No. 9. – URL: http://ivdon.ru'ru/magazine/archive/n9y2020/6593 (date of access: 08/01/2023).

4. Osipov, V. A. Resistance of AC electric railroad traction network with shielding wire / V. A. Osipov, A. A. Kapkaev // Vestnik Rostovskogo Gosudarstvennogo Universiteta Putey Soobshcheniya. – No. 2(54). – 2014. – P. 96– 102. – ISSN 0201-727X.

5. Petrov, N. V. Principle of centralised control of voltage and reactive power of power systems / N. V. Petrov // Izvestia vysshee obrazovaniya vysshee obrazovaniya. Electromechanics. – 2015. – No. 2. – P. 56–59. – DOI 10.17213/0136-3360-2015-2.

6. Molodtsov, V. S. Adaptation of Frobenius formula to the matrices of nodal conductivities and resistances of the electric network / V. S. Molodtsov // Izvestia vysshee obrazovaniya vysshee obrazovaniya. Electromechanics. – 2015. – No. 3. – P. 20–24. – DOI 10.17213/0136-3360-2015-3-20-2412.

7. Savelov, N. S. Method of topological analysis of electric circuits with changing topology / N. S. Savelov, S. A. Grechanyi // Izvestiya vysokikh uchebnykh obrazovaniya. Electromechanics. – 2016. – No. 1. – P. 5–11. – DOI 10.17213/0136-3360-2016-1-5-11.

8. Solomin, V. A. Adjustable transformers for traction substations / V. A. Solomin, A. V. Kostyukov // Vestnik Rostovskogo Gosudarstvennogo Universiteta Putey Soobshcheniya. – 2010. – No. 1(37). – P. 127–131. – ISSN 0201-727X.

9. Molodtsov, V. S. Methods of finding inverse matrices of distribution electric networks of power systems / V. S. Molodtsov // Izvestia vysshee obrazovaniya vysshee obrazovaniya. Electromechanics. – 2018. – No. 3. – P. 60–67. – DOI 10.17213/0136-3360-2018-3-60-67

10. Sidorova, V. T. Redistribution of power flows in complexly closed 10 kV overhead networks to reduce losses and improve power quality / V. T. Sidorova, V. V. Karchin // Izvestiya vysokikh uchebnykh uchebnykh obrazovaniye. Problems of power engineering. – 2016. – No. 11–12. – P. 51–55. – URL: https://doi.org/10.30724/1998-9903-2016-0-11-12-51-55 (date of access: 15.08.2023).

11. Investigation of the influence of supply voltage on the energy efficiency of street lighting lines / A. I. Troitsky, S. S. Kostinsky, N. N. Vlasenko, T. Z. Khimishev // Izvestiya vysshestvennykh uchebnykh obrazovanii. Severo-Kavkazskiy region. – 2018. – No.1. – P. 56–60. – DOI 10.17213/0321-2653-2018-1-56-60.

12. Mikaelyan, E. Y. Multicriteria approach to solving the balance problem of reactive power compensation in power systems. Collection of scientific papers / E. Y. Mikaelyan // Transport : science, education, production. Rostov State Transport University. – Rostov-on-Don, 2018. – P. 286–289.

13. Complex solution of applied technological problems of traction power supply automation / Yu. I. Zharkov, O. V. Kubkina, V. G. Lysenko, N. A. Popova // Vestnik Rostovskogo Gosudarstvennogo Universiteta Putey Soobshcheniya. – 2021. – Nо. 1. – P. 130–165. – DOI 10.46973/0201–727X_2021_1_130.

14. Power factor correction in power supply systems with multiphase nonlinear loads / D. E. Egorov, V. P. Dovgun, N. P. Boyarskaya, A. V. Yan // Izvestiya vysshih uchebnyh zavedenij. Problemy energetiki. – Vol. 22. – Nо. 6 (2020). – P. 3–15. – DOI 10.30724/1998-9903-2020-22-6-3-15.

15. Probabilistic flow distribution as a response to load stochasticity in a power system / A. M. Gashimov, N. R. Rahmanov, G. B. Guliev, R. N. Rahmanov [et al.] // Izv. of higher educational institutions and energy associations CIS. – Vol. 59. – No. 6 (2016). – P. 519–528. – DOI 10.21122/1029-7448-2016-59-6-519-528.