A robust voltage H∞ controller in dg-connected inverter based on auto-calibration of adjustable fractional weights

• Autorzy: Amieur Oualid , Zidani Fatiha

Identyfikatory

DOI

10.15199/48.2022.02.05

Warianty tytułu

PL

Stabilny regulator napięcia H∞ w energetyce rozproszonej - podłączony falownik oparty na autokalibracji regulowany mas ułamkowych

• Języki publikacji: EN

Abstrakty

EN

In this paper a H∞ control technique addresses the voltage regulation in distributed generation (DG) system connected to power converter under harmonic disturbances. The DG control technique combines a discrete sliding mode control (DSMC) in the current control and a Robust Servomechanism Problem (RSP) in the voltage control. Besides, a fractional Order Proportional-Integral-Derivative (FOPID) controller synthesized with an automatic calibration of adjustable fractional weights is formulated in this work. For performance and high robustness requirements, the parameters of FOPID are optimized through solving a multiobjective optimization problematic based on the automatic calibration of the weighted-mixed sensitivity problem. Furthermore, for ensuring an adequate calibration of parameters, the Integral of Time Weighted Absolute Error (ITAE) criterion with Genetic Algorithm (GA) are used to achieve better voltage regulation. The simulation results show that it can achieve trade-off between nominal performance (NP) and robust stability (RS) margins for the constrained uncertain plants in the large range frequencies. Also, the results validate the effectiveness of the proposed control at which both low total harmonic distortion (THD) and low tracking error.

PL

W niniejszym artykule technika sterowania H∞ dotyczy regulacji napięcia w systemie generacji rozproszonej (DG) podłączonym do przekształtnika mocy w warunkach zakłóceń harmonicznych. Technika sterowania łączy dyskretne sterowanie w trybie ślizgowym (DSMC) w sterowaniu prądem i solidny problem z serwomechanizmem (RSP) w sterowaniu napięciem. Poza tym, w niniejszej pracy sformułowano regulator ułamkowo całkująco-różniczkujący (FOPID) zsyntetyzowany z automatyczną kalibracją regulowanych mas ułamkowych. Parametry FOPID są optymalizowane poprzez rozwiązanie problemu optymalizacji wielokryterialnej opartej na autokalibracji problemu wraźliwości mieszanej ważonej dla wymagań dotyczących odporności między nominalną wydajnością (NP), solidną stabilnością (RS) marżami i kompromisem między nimi w dużych zakres częstotliwości. Wyniki symulacji potwierdzają skuteczność proponowanego sterowania, przy którym zarówno wysoka odporność, jak i niskie całkowite zniekształcenia harmoniczne (THD).

Słowa kluczowe

EN

fractional order; weighted-mixed sensitivity; power converter; DG system; THD; stability analysis

PL

porządek ułamkowy; czułość ważona mieszana; konwerter napięcia; DG system; THD; analiza stabilności

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2022
• Tom: R. 98, nr 2
• Strony: 21--27
• Opis fizyczny: Bibliogr. 29 poz., rys.

Twórcy

autor

Amieur Oualid

• Department of Electrical Engineering, Laboratory LSPIE, University of Batna-2, Algeria

autor

Zidani Fatiha

• Department of Electrical Engineering, Laboratory LSPIE, University of Batna-2, Algeria

Bibliografia

• [1] VivekKumar and Ikbal Ali. Fractional order sliding mode approachfor chattering free direct power control of dc/ac converter. IETPower Electronics, 12(13):3600–3610, 2019.
• [2] ZoubirChelli, Abdelaziz Lakehal, Tarek Khoualdia, and YacineDjeghader. Study on shunt active power filter control strategiesof three-phase grid-connected photovoltaic systems. PeriodicaPolytechnica Electrical Engineering and Computer Science, 63(3), 2019.
• [3] AliBidram and Ali Davoudi. Hierarchical structure of microgrids control system. IEEE Transactions on Smart Grid, 3(4):1963–1976, 2012.
• [4] ManizaArmin, Mizanur Rahman, Md Mukidur Rahman, Subrata K Sarker, Sajal K Das, Md Rabiul Islam, Abbas Z Kouzani, and MA Parvez Mahmud. Robust extended h∞ control strategy using linear matrix inequality approach for islanded microgrid. IEEE Access, 8:135883–135896, 2020.
• [5] HamidReza Baghaee, Mojtaba Mirsalim, Gevork B Gharehpetian, and Heidar Ali Talebi. A generalized descriptor-system robust h∞ control of autonomous microgrids to improve small and large signal stability considering communication delays and load nonlinearities. International Journal of Electrical Power & Energy Systems, 92:63–82, 2017.
• [6] MohammadN Marwali, Min Dai, and Ali Keyhani. Robust stability analysis of voltage and current control for distributed generation systems. IEEE Transactions on Energy Conversion, 21(2):516– 526, 2006.
• [7] Tomas Hornik and Qing-Chang Zhong. A current-control strategy for voltage-source inverters in microgrids based on h∞ and repetitive control. IEEE Transactions on Power Electron ics, 26(3):943–952, 2010.
• [8] LSedghi and Ahmad Fakharian. Robust voltage regulation in islanded microgrids: A lmi based mixed h2/h∞ control approach. In 2016 24th Mediterranean Conference on Control and Automation (MED), pages 431–436. IEEE, 2016.
• [9] HiltonAbilio Grundling, Emerson Giovani Carati, and Jose Renes Pinheiro. Analysis and implementation of a modified robust model reference adaptive control with repetitive controller for ups applications. In IECON’98. Proceedings of the 24th Annual Conference of the IEEE Industrial Electronics Society (Cat. No. 98CH36200), volume 1, pages 391–395. IEEE, 1998.
• [10] ASheela, S Vijayachitra, and S Revathi. H-infinity controller for frequency and voltage regulation in grid-connected and is landed microgrid. IEEJ Transactions on Electrical and Electronic Engineering, 10(5):503–511, 2015.
• [11] TS Lee, KS Tzeng, and MS Chong. Robust controller design for a single-phase ups inverter using μ-synthesis. IEE Proceedings-Electric Power Applications, 151(3):334–340, 2004.
• [12] AbdelfatahM Mohamed. Modern robust control of a csi-fed induction motor drive system. In Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No. 98CH36207), volume 6, pages 3803–3808. IEEE, 1998.
• [13] Quang Linh Lam, Antoneta Iuliana Bratcu, and Delphine Riu. Robustness analysis of primary frequency h∞ control in standalone microgrids with storage units. IFAC PapersOnLine, 49(27):123–128, 2016.
• [14] JianZhao and Chao Li Wang. Frequency stability of microgrids based on h∞ methods. In 2016 35th Chinese Control Conference (CCC), pages 10079–10084. IEEE, 2016.
• [15] ZMPe, PK Jain, and PC Sen. Robust controller design for high frequency resonant inverter system with voltage mode control. In 30th Annual Conference of IEEE Industrial Electronics Society, 2004. IECON 2004, volume 1, pages 41–46. IEEE, 2004.
• [16] Hassan Bevrani, Mohammad Ramin Feizi, and Sirwan Ataee. Robust frequency control in an islanded microgrid: H∞ and μ-synthesis approaches. IEEE transactions on smart grid, 7(2):706–717, 2015.
• [17] MohsenHamzeh, Sepehr Emamian, Houshang Karimi, and Jean Mahseredjian. Robust control of an islanded microgrid under unbalanced and nonlinear load conditions. IEEE Journal of Emerging and Selected Topics in Power Electronics, 4(2):512– 520, 2015.
• [18] MohammadRaeispour, Hajar Atrianfar, Hamid Reza Baghaee, and Gevork B Gharehpetian. Robust sliding mode and mixed h2/h∞ output feedback primary control of ac microgrids. IEEE Systems Journal, 2020.
• [19] SasanGholami, Sajeeb Saha, and Mohammad Aldeen. Robust multiobjective control method for power sharing among distributed energy resources in islanded microgrids with unbalanced and nonlinear loads. International Journal of Electrical Power & Energy Systems, 94:321–338, 2018.
• [20] SalvatoreD’Arco, Jon Are Suul, and Olav Bjarte Fosso. Automatic tuning of cascaded controllers for power converters using eigenvalue parametric sensitivities. IEEE Transactions on Industry Applications, 51(2):1743–1753, 2014.
• [21] MSedraoui, T Amieur, R Bachir Bouiadjra, and M Sahnoune. Robustified fractional-order controller based on adjustable fractional weights for a doubly fed induction generator. Transactions of the Institute of Measurement and Control, 39(5):660–674, 2017.
• [22] Toufik Amieur, Abdelaziz Younsi, Mohammed Aidoud, Moussa Sedraoui, and Oualid Amieur. Design of robust fractional order pid controller using fractional weights in the mixed sensitivity problem. In 2017 14th International Multi-Conference on Systems, Signals & Devices (SSD), pages 549–553. IEEE, 2017.
• [23] MohammadN Marwali and Ali Keyhani. Control of distributed generation systems-part i: Voltages and currents control. IEEE Transactions on power electronics, 19(6):1541–1550, 2004.
• [24] MinDai, Mohammad Nanda Marwali, Jin-Woo Jung, and Ali Keyhani. A three-phase four-wire inverter control technique for a single distributed generation unit in island mode. IEEE Transactions on power electronics, 23(1):322–331, 2008.
• [25] JiankunHu, Christian Bohn, and HR Wu. Systematic h∞ weighting function selection and its application to the real-time control of a vertical take-off aircraft. Control Engineering Practice, 8(3):241–252, 2000.
• [26] GaryBalas, Richard Chiang, Andy Packard, and Michael Safonov. Robust control toolbox™ getting started guide. The MathWorks, Incorporations. 3 Apple Hill Drive, Natick, MA 01760, 2098, 2011.
• [27] HOloomi and B Shafai. Weight selection in mixed sensitivity robust control for improving the sinusoidal tracking performance. In 42nd IEEE International Conference on Decision and Control (IEEE Cat. No. 03CH37475), volume 1, pages 300–305. IEEE, 2003.
• [28] MGOrtega and FR Rubio. Systematic design of weighting matrices for the ∞ mixed sensitivity problem. Journal of Process Control, 14(1):89–98, 2004.
• [29] NingZhang, Wei Gu, Haojun Yu, and Wei Liu. Application of coordinated sofc and smes robust control for stabilizing tie-line power. Energies, 6(4):1902–1917, 2013.