State-Space Modeling and Small-Signal Stability Analysis of an Independent Microgrid with Multiple Distributed Generation Resources

Mohammad Yousefzadeh, Hamid Reza Najafi, Hussein Eliasi

Abstract


The integration of distributed generation (DG) resources, energy storage systems (ESS), and local electric loads within a specific region has given rise to the concept of microgrid as a significant aspect of smart grids. This research addresses the small signal stability analysis of a an independent microgrid with multiple DG resources while considering the modeling of each DG resource through eigenvalue analysis and frequency response analysis. The microgrid comprises a squirrel cage induction generator-wind turbine (SCIG-WT) as DG1, a diesel synchronous generator (DSG) set equipped with governor and excitation controllers as DG2, an inverter-based battery energy storage system (BESS), and a set of lines and loads. At first, each resource is individually modeled in its respective local state-space reference frame. These individual models are then combined in a global reference frame. The microgrid’s global model is linearized around a specific operating point, resulting in the derivation of the system state matrix, from which the eigenvalues of the microgrid are obtained. The impact of varying system parameters and different operational conditions on the stability margin and microgrid dynamics is assessed by examining changes in eigenvalue locations and conducting sensitivity analysis. Finally, transfer functions of energy storage controllers are determined, allowing for a frequency response analysis concerning the controller coefficients.


Keywords


Microgrid, State-Space Modeling, Small-Signal Stability, Energy Storage System (ESS), Eigenvalue Analysis, Frequency Response Analysis

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References


Sayed MM, Mahdy MY, Abdel Aleem SHE, Youssef HKM, Boghdady TA. Simultaneous Distribution Network Reconfiguration and Optimal Allocation of Renewable-Based Distributed Generators and Shunt Capacitors under Uncertain Conditions. Energies. 2022; 15(6):2299

ADDIN EN.CITE Rocabert20123[3]3317Rocabert, JoanLuna, AlvaroBlaabjerg, FredeRodriguez, PedroControl of power converters in AC microgridsIEEE transactions on power electronicsIEEE transactions on power electronics4734-4749271120120885-8993[2].Choudhury, S. A comprehensive review on issues, investigations, control and protection trends, technical challenges and future directions for Microgrid technology. Int. Trans. Electr. Energy Syst. 2020, 30, e12446.

ADDIN EN.CITE Rocabert20123[3]3317Rocabert, JoanLuna, AlvaroBlaabjerg, FredeRodriguez, PedroControl of power converters in AC microgridsIEEE transactions on power electronicsIEEE transactions on power electronics4734-4749271120120885-8993[3].Mohammed, A.; Refaat, S.S.; Bayhan, S.; Abu-Rub, H. Ac microgrid control and management strategies: Evaluation and review. IEEE Power Electron. Mag. 2019, 6, 18–31

R. Majumder, "Some aspects of stability in microgrids," IEEE Transactions on power systems, vol. 28, pp. 3243-3252, 2013.

Shuai, Zhikang & Sun, Yingyun & Shen, Z. & Tian, Wei & Tu, Chunming & Li, Yan & Yin, Xin.. "Microgrid stability: Classification and a review". Renewable and Sustainable Energy Reviews. 58. 167-179. 2016

Shuya Wang, Jianhui Su, Xiangzhen Yang, Yan Du, Yong Tu and Huadian Xu, "A review on the small signal stability of microgrid," 2016 IEEE 8th International Power Electronics and Motion Control Conference (IPEMC-ECCE Asia), Hefei, China, 2016, pp. 1793-1798,

E. A. Mohamed et al. “Digital coordination strategy of protection and frequency stability for an islanded microgrid”. In: Transmission Distribution IET Generation 12.15 (2018), pp. 3637–3646. issn: 1751-8687. doi: 10.1049/iet- gtd.2018.0264.

Y. Yan, D. Shi, D. Bian, B. Huang, Z. Yi and Z. Wang, "Small-Signal Stability Analysis and Performance Evaluation of Microgrids Under Distributed Control," in IEEE Transactions on Smart Grid, vol. 10, no. 5, pp. 4848-4858, Sept. 2019,

S. Leitner, M. Yazdanian, A. Mehrizi-Sani, etc., “Small-signal Stability Analysis of an Inverter-based Microgrid with Internal Model–based Controllers,” IEEE Trans. Smart Grid, in press, 2017.

Agrawal, R., Changan, D.D. & Bodhe, A. Small signal stability analysis of stand-alone microgrid with composite load. Journal of Electrical Systems and Inf Technol 7, 12 (2020).

MAHDAVIAN, Aram; GHADIMI, Ali Asghar; BAYAT, Mohammad. Microgrid small?signal stability analysis considering dynamic load model. IET Renewable Power Generation, 2021, 15.13: 2799-2813.?

Malik, S. M., Sun, Y., Ai, X., Chen, Z., & Wang, K. Small-signal analysis of a hybrid microgrid with high PV penetration. ieee access, 2019, 7: 119631-119643

Dheer, D. K., Soni, N., & Doolla, S. (2016). Improvement of small signal stability margin and transient response in inverter-dominated microgrids. Sustainable Energy, Grids and Networks, 5, 135-147.?

Levron, Y., & Belikov, J. (2017). Modeling power networks using dynamic phasors in the dq0 reference frame. Electric Power Systems Research, 144, 233-242.?

Dheer, D. K., Doolla, S., Bandyopadhyay, S., & Guerrero, J. M. (2017). Effect of placement of droop based generators in distribution network on small signal stability margin and network loss. International Journal of Electrical Power & Energy Systems, 88, 108-118.?

Schiffer, J., Zonetti, D., Ortega, R., Stankovi?, A. M., Sezi, T., & Raisch, J. (2016). A survey on modeling of microgrids—From fundamental physics to phasors and voltage sources. Automatica, 74, 135-150.?

H. Liang and B.J. Choi and W. Zhuang and X. Shen, “Stability enhancement of decentralized inverter control through wireless communications in microgrids,” IEEE Trans. Smart Grid,vol. 4, no. 1, pp. 321-331, 2013

GREEN, T. V. C. B. I., LAMMERT, U. G. I. C. G., LD, D. J. C. M. P., DE, P. O., DE, Z. S. U. K. V., CN, L., ... & US, X. (2018). Modelling of inverter-based generation for power system dynamic studies.?

F. Katiraei, M. R. Iravani, and P. W. Lehn, “Small-signal dynamic model of a microgrid including conventional and electronically interfaced distributed resources,” IET Gener. Transm. Distrib., vol. 1, no. 3, pp. 369–378, May 2007.

T. Ma, X. Jin, and X. Huang, “Modeling and Stability Analysis of Microgrid with Multiple Converters,” Automation of Electric Power Systems, vol. 37, no. 6,pp. 12–17, Mar. 2013.

J. A. Mueller, J. W. Kimball, and J. W. Kimball, “Reduced-Order Small-Signal Model of Microgrid Systems,” IEEE Trans. Sustain. Energy, vol. 6, no. 4, pp. 1292–1305, 2015.

Krause, P. C., Wasynczuk, O., Sudhoff, S. D., & Pekarek, S. (2002). Analysis of electric machinery and drive systems (Vol. 2). New York: IEEE press.?

A. G. Tsikalakis and N. D. Hatziargyriou, "Centralized control for optimizing microgrids operation," in 2011 IEEE power and energy society general meeting, 2011, pp. 1-8.




DOI (PDF): https://doi.org/10.20508/ijsmartgrid.v8i1.320.g334

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