A Robust Frequency Controller based on Linear Matrix Inequality for a Parallel Islanded Microgrid
Abstract
This paper presents a robust H∞ control technique for an islanded microgrid in the presence of sudden changes in load conditions. The proposed microgrid scheme consists of a parallel connected inverter with distributed generations. When the load is suddenly changed the frequency deviates from its nominal value. The objective is to design a robust frequency droop controller in order to achieve the frequency at nominal values without using any secondary controller and communication systems while improving power sharing accuracy. Small signal modeling of the power system is designed for the formulation of the problem and the H∞ optimal linear matrix inequality technique is applied in order to achieve the objectives. The proposed controller has been tested with the MATLAB/ SimPowerSytem toolbox.
Keywords:
distributed energy resource, linear matrix inequality (LMI) units, robust controlDownloads
References
R. H. Lasseter, "MicroGrids," in 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309), Jan. 2002, vol. 1, pp. 305-308 vol.1.
N. Bayati, S. H. H. Sadeghi, and A. Hosseini, "Optimal Placement and Sizing of Fault Current Limiters in Distributed Generation Systems Using a Hybrid Genetic Algorithm," Engineering, Technology & Applied Science Research, vol. 7, no. 1, pp. 1329-1333, Feb. 2017. DOI: https://doi.org/10.48084/etasr.976
M. Illindala and U. Venkataramanan, "Control of distributed generation systems to mitigate load and line imbalances," in 2002 IEEE 33rd Annual IEEE Power Electronics Specialists Conference. Proceedings (Cat. No.02CH37289), Jun. 2002, vol. 4, pp. 2013-2018 vol.4.
E. Pathan, S. A. Zulkifli, U. B. Tayab, and R. Jackson, "Small Signal Modeling of Inverter-based Grid-Connected Microgrid to Determine the Zero-Pole Drift Control with Dynamic Power Sharing Controller," Engineering, Technology & Applied Science Research, vol. 9, no. 1, pp. 3790-3795, Feb. 2019. DOI: https://doi.org/10.48084/etasr.2465
Q. L. Lam, A. I. Bratcu, D. Riu, C. Boudinet, A. Labonne, and M. Thomas, "Primary frequency H∞ control in stand-alone microgrids with storage units: A robustness analysis confirmed by real-time experiments," International Journal of Electrical Power & Energy Systems, vol. 115, p. 105507, Feb. 2020. DOI: https://doi.org/10.1016/j.ijepes.2019.105507
J. M. Guerrero, J. Matas, L. Garcia de Vicuna, M. Castilla, and J. Miret, "Decentralized Control for Parallel Operation of Distributed Generation Inverters Using Resistive Output Impedance," IEEE Transactions on Industrial Electronics, vol. 54, no. 2, pp. 994-1004, Apr. 2007. DOI: https://doi.org/10.1109/TIE.2007.892621
I. Şerban and C. Marinescu, "Aggregate load-frequency control of a wind-hydro autonomous microgrid," Renewable Energy, vol. 36, no. 12, pp. 3345-3354, Dec. 2011. DOI: https://doi.org/10.1016/j.renene.2011.05.012
W. Gu, W. Liu, Z. Wu, B. Zhao, and W. Chen, "Cooperative Control to Enhance the Frequency Stability of Islanded Microgrids with DFIG-SMES," Energies, vol. 6, no. 8, pp. 1-21, 2013. DOI: https://doi.org/10.3390/en6083951
H. Bevrani, F. Habibi, P. Babahajyani, M. Watanabe, and Y. Mitani, "Intelligent Frequency Control in an AC Microgrid: Online PSO-Based Fuzzy Tuning Approach," IEEE Transactions on Smart Grid, vol. 3, no. 4, pp. 1935-1944, Dec. 2012. DOI: https://doi.org/10.1109/TSG.2012.2196806
X. Li, Y.-J. Song, and S.-B. Han, "Frequency control in micro-grid power system combined with electrolyzer system and fuzzy PI controller," Journal of Power Sources, vol. 180, no. 1, pp. 468-475, May 2008. DOI: https://doi.org/10.1016/j.jpowsour.2008.01.092
Q. L. Lam, A. I. Bratcu, and D. Riu, "Frequency robust control in stand-alone microgrids with PV sources : design and sensitivity analysis," in Symposium de Génie Electrique, Grenoble, France, Jun. 2016.
A. H. Etemadi, E. J. Davison, and R. Iravani, "A Decentralized Robust Control Strategy for Multi-DER Microgrids-Part I: Fundamental Concepts," IEEE Transactions on Power Delivery, vol. 27, no. 4, pp. 1843-1853, Oct. 2012. DOI: https://doi.org/10.1109/TPWRD.2012.2202920
Y. Han, P. M. Young, A. Jain, and D. Zimmerle, "Robust Control for Microgrid Frequency Deviation Reduction With Attached Storage System," IEEE Transactions on Smart Grid, vol. 6, no. 2, pp. 557-565, Mar. 2015. DOI: https://doi.org/10.1109/TSG.2014.2320984
A. Kahrobaeian and Y. A.-R. I. Mohamed, "Direct Single-Loop /spl mu/-Synthesis Voltage Control for Suppression of Multiple Resonances in Microgrids with Power-Factor Correction Capacitors," IEEE Transactions on Smart Grid, vol. 4, no. 2, pp. 1151-1161, Jun. 2013. DOI: https://doi.org/10.1109/TSG.2012.2228014
M. Babazadeh and H. Karimi, "A Robust Two-Degree-of-Freedom Control Strategy for an Islanded Microgrid," IEEE Transactions on Power Delivery, vol. 28, no. 3, pp. 1339-1347, Jul. 2013. DOI: https://doi.org/10.1109/TPWRD.2013.2254138
S. Skogestad and I. Postlethwaite, Multivariable Feedback Control: Analysis and Design, 2nd Edition. Chichester: Wiley-Interscience, 2005.
2030.7-2017 - IEEE Standard for the Specification of Microgrid Controllers. IEEE, 2018.
Downloads
How to Cite
License
Copyright (c) 2020 Authors
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.
