Continuous power flow analysis in the trigonometric circle

• Autorzy: Bislimi Agron

Identyfikatory

DOI

10.15199/48.2024.09.24

Warianty tytułu

PL

Ciągła analiza przepływu mocy w okręgu trygonometrycznym

• Języki publikacji: EN

Abstrakty

EN

This paper delves into Continuous Power Flow (CPF) Analysis within the framework of the Trigonometric Circle, presenting a novel approach to visualize power system behavior. It introduces the idea of representing CPF program outcomes on the trigonometric circle, also known as the unit circle in trigonometry, offering a unique perspective on the evolving relationships between voltage magnitudes and angles as the continuation parameter changes. By utilizing this circle, the paper provides a clear depiction of system behavior, enabling the identification of critical points such as voltage stability limits and potential instability as the trajectory nears the circle's boundary. The paper concludes by suggesting the display of CPF results, particularly Vi = f(λi) and δi = f(λi), on the trigonometric circle, demonstrating its practical application in a 2-node network. This innovative visualization method enhances the understanding and analysis of power systems under various conditions.

PL

W artykule zagłębiono się w analizę ciągłego przepływu mocy (CPF) w ramach koła trygonometrycznego, prezentując nowatorskie podejście do wizualizacji zachowania systemu elektroenergetycznego. Wprowadza ideę przedstawiania wyników programu CPF na okręgu trygonometrycznym, znanym również jako okrąg jednostkowy w trygonometrii, oferując unikalną perspektywę na ewoluujące relacje między wielkościami napięcia i kątami w miarę zmiany parametru kontynuacji. Wykorzystując ten okrąg, artykuł zapewnia przejrzysty obraz zachowania systemu, umożliwiając identyfikację punktów krytycznych, takich jak granice stabilności napięcia i potencjalna niestabilność, gdy trajektoria zbliża się do granicy okręgu. Artykuł kończy się propozycją przedstawienia wyników CPF, w szczególności Vi = f(λi) i δi = f(λi), na okręgu trygonometrycznym, demonstrując jego praktyczne zastosowanie w sieci 2-węzłowej. Ta innowacyjna metoda wizualizacji ułatwia zrozumienie i analizę systemów elektroenergetycznych w różnych warunkach.

Słowa kluczowe

EN

continuation power flow; trigonometric circle; number ofi iteration; step size factor; voltage stability

PL

kontynuacja przepływu mocy; okrąg trygonometryczny; liczba iteracji; współczynnik wielkości kroku; stabilność napięcia

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2024
• Tom: R. 100, nr 9
• Strony: 131--137
• Opis fizyczny: Bibliogr. 30 poz., rys., tab.

Twórcy

autor

Bislimi Agron

• UBT, University for Business and Technology, St. Calabria n.n. 10000, Prishtina, Kosovo

• https://orcid.org/0000-0002-7368-7216

Bibliografia

• [1] Bislimi A., Influence of voltage stability problems on the safety of electrical energy networks, (2012). PhD Thesis, Institute for Electrical Systems and Energy Economics, Vienna University of Technology, Vienna.
• [2] Bislimi A., Analysis of Convergence Behavior and Derivation of Divergence Indicator in Continuation Power Flow Iterations, International Journal on Energy Conversion (IRECON)., Vol. 11 No. 3 (2023), https://doi.org/10.15866/irecon.v11i3.23591
• [3] Bislimi A., Illustration of the voltage stability by using the slope of the tangent vector component, IJECES, International Journal of Electrical and Computer Engineering Systems, Vol. 14 No. 6 (2023), https://doi.org/10.32985/ijeces.14.6.12, 2023.
• [4] Karbalaei F, Abbasi Sh, Shabani H R., The Continuation Power Flow (CPF) Methods, part of: Voltage Stability in Electrical Power Systems: Concepts, Assessment, and Methods for Improvement. (2023), DOI: 10.1002/9781119830634.ch5, p97 118 Wiley-IEEE Press,
• [5] Ajjarapy V., Computational Techniques for Voltage Stability Assessment and Control. Springer Science + Business Media, (2006). LLC New York, NY, USA
• [6] Ajjarapu V., and Christy C., The Continuation Power Flow: A Tool for Steady State Voltage Stability Analysis, IEEE Trans. Power Syst., vol. 7, (1992), no. 1, pp. 416-423.
• [7] Mirafzal B., Power Electronics in Energy Conversion Systems, 1st Edition, (2022), McGraw Hill, ISBN: 9781260463804.
• [8] Kendal MK. Stacey K., Trigonometry: Comparing Ratio and Unit Circle Methods., (2010), Corpus ID: 17836607.
• [9] Mehroliya Sh., Arya A., Paliwal P., Arya M., Tomar Sh., (2023) Voltage Stability Enhancement with FACTS devices by using Continuation Power Flow, 2023 IEEE Renewable Energy and Sustainable E-Mobility Conference (RESEM), DOI: 10.1109/RESEM57584.2023.10236058, 2023.
• [10] Zeng L., Chiang H-D., Neves L. S., Fernando L., On the accuracy of power flow and load margin calculation caused by incorrect logical PV/PQ switching: Analytics and improved methods, Volume 147, (2023), 108905, International Journal of Electrical Power & Energy Systems.
• [11] Aydin F., Gümüs B., Comparative analysis of multi-criteria decision-making methods for the assessment of optimal SVC location, Power Systems and Power Electronics, Vol. 70(2) (2022), Article number: 10.24425/bpasts.2022.140555. e140555 DOI:
• [12] Machowski J., Robak S., Computation method for analysis of sliding faults in power systems, Warsaw University of Technology, Power Systems and Power Electronics, Vol. 69(1), (2021). DOI: 10.24425/bpasts.2021.135841
• [13] Kobibi Y I D., Djehaf M A., Khatir M., Ouadafraksou M., (2022) Continuation Power Flow Analysis of Power System Voltage Stability with Unified Power Flow Controller Stability with Unified Power Flow Controller, Journal of Intelligent Systems and Control, Volume 1, Issue 1.
• [14] Pourbagher R, Derakhshandeh S. Y., Golshan M. E. H., An adaptive multi-step Levenberg-Marquardt continuation power flow method for voltage stability assessment in the Ill conditioned power systems, International Journal of Electrical Power & Energy Systems, Volume 134, January (2022), 107425.
• [15] Wang T, Wang Sh., Ma Sh., Guo J., Zhou X., An Extended Continuation Power Flow Method for Static Voltage Stability Assessment of Renewable Power Generation-Penetrated Power Systems, (2022). IEEE Transactions on Circuits and Systems II: Express Briefs, DOI: 10.1109/TCSII.2022.3209335,
• [16] Van Cutsem Th., Vournas C., Voltage stability of electric power systems, Norwell, MA Kluwer, (1998)
• [17] Saadat H., Power system analysis, Milwaukee school of engineering McGraw Hill, Singapore (1999).
• [18] Kundur P., Power System Stability and Control. McGraw-Hill. (1994).
• [19] Chapman S. J., Electric Machinery and power system fundamentals, BAE SYSTEMS Australia McGraw Hill in series electrical and computer engineering (2002).
• [20] Theil G., Evaluation of the influence of repair-joint number increase on the outage frequency of medium voltage cables, CIRED 2009 - 20th International Conference and Exhibition on Electricity Distribution - Part 1, Prague, Czech Republic, IET, DOI: 10.1049/cp.2009.0494
• [21] Theil G., Markov models for reliability-centered maintenance planning, 15th Power Systems Computation Conference, PSCC 2005.
• [22] Bislimi A., Comprehensive Analysis of Power System: Exploring Load Factor, Power Balance, Active Load Variation, and Increment Factors with Iterative Implications, Vol. 15 No. 1, (2024), IJECES, International Journal of Electrical and Computer Engineering https://doi.org/10.32985/ijeces.15.1.11 Systems,
• [23] Bislimi A., Simplified Representation of Kessel/Glawitsch's Method, International Journal on Energy Conversion (IRECON)., Vol. 11 No. 6 (2023).
• [24] Glover D., Sarma M. S., Overbye T. J., Power System Analysis and Design. Cengage Learning. Canada. (2011).
• [25] Canizares C. A, and Alvarado F. L., Point of collapse and continuation methods for large ac/dc systems, IEEE Trans. Power Syst., vol. 8, no. 1, pp. 1-8., (1993).
• [26] Repo S., On-line Voltage Stability Assessment of Power System-An Approach of Black-box Modelling, PhD Thesis, Tampere University of Technology Publications 344, Mouhijärvi (2001). in
• [27] Suresh V., Kaczorowska D., Janik P., Rezmer J., "Load Flow Analysis local microgrid with storage," Przegląd Elektrotechniczny, (2019) doi:10.15199/48.2019.09.19
• [28] Kamaruzzaman Z. A., Mohamed A., Shareef H., "Effect of grid connected photovoltaic systems on static and dynamic voltage stability with analysis techniques – a review," Przegląd Elektrotechniczny, (2015), doi:10.15199/48.2015.06.27
• [29] Fernandes. A. A., Freitas F. D., Ishihara J.Y., "Performance assessment of iterative linear methods for the computation of the power flow problem solution," Przegląd Elektrotechniczny, (2015) doi:10.15199/48.2015.09.63
• [30] Grycan W., "Legislative Assistance for Prosumer Energy within the Framework of Electrical Safety of Power Network," Prze gląd Elektrotechniczny, (2024), doi:10.15199/48.2024.02.12

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki i promocja sportu (2025).