Modal Analysis of Power System with a Microgrid

Authors: Burak Yildirim, Muhsin Tunay Gençoğlu

Abstract:

A microgrid (MG) is a small power grid composed of localized medium or low level power generation, storage systems, and loads. In this paper, the effects of a MG on power systems voltage stability are shown. The MG model, designed to demonstrate the effects of the MG, was applied to the IEEE 14 bus power system which is widely used in power system stability studies. Eigenvalue and modal analysis methods were used in simulation studies. In the study results, it is seen that MGs affect system voltage stability positively by increasing system voltage instability limit value for buses of a power system in which MG are placed.

Keywords: Eigenvalue analysis, microgrid, modal analysis, voltage stability.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1132605

References:

K. Abacı, “Gerilim Kararlılığı İyileştiricilerinin Çatallaşma ve Kaotik Analizleri,” Sakarya Üniversitesi, Sakarya, 2007.
[2] M. Thomson and D. G. Infield, “Network power-flow analysis for a high penetration of distributed generation,” IEEE Trans. Power Syst., vol. 22, no. 3, pp. 1157–1162, 2007.
[3] R. Lasseter et al., “The CERTS MicroGrid Concept,” California, 2002.
[4] B. Lasseter, “Microgrids (distributed power generation),” Power Eng. Soc. Winter Meet. 2001. IEEE, vol. 1, no. C, pp. 146–149, 2001.
[5] P. Kundur et al., “Definition and Classification of Power System Stability IEEE/CIGRE Joint Task Force on Stability Terms and Definitions,” IEEE Trans. Power Syst., vol. 19, no. 3, pp. 1387–1401, 2004.
[6] J. Zhang, S. Su, J. Chen, and F. Hong, “Stability analysis of the power system with the large penetration ratios of microgrids,” 1st International Conference on Sustainable Power Generation and Supply, SUPERGEN ’09, vol. 411105, pp. 1–5, 2009.
[7] P. Ferraro, E. Crisostomi, M. Raugi, and F. Milano, “Analysis of the Impact of Microgrid Penetration on Power System Dynamics,” IEEE Trans. Power Syst., vol. PP, no. 99, pp. 1–9, 2017.
[8] M. EL-Shimy, M. a L. Badr, and O. M. Rassem, “Impact of large scale wind power on power system stability,” in 2008 12th International MiddleEast Power System Conference, 2008, pp. 630–636.
[9] B. Tamimi, C. Cañizares, and K. Bhattacharya, “System stability impact of large-scale and distributed solar photovoltaic generation: The case of Ontario, Canada,” IEEE Trans. Sustain. Energy, vol. 4, no. 3, pp. 680–688, 2013.
[10] X. Tang, W. Deng, and Z. Qi, “Investigation of the dynamic stability of microgrid,” IEEE Trans. Power Syst., vol. 29, no. 2, pp. 698–706, 2014.
[11] S. Mishra and D. Ramasubramanian, “Improving the Small Signal Stability of a PV-DE-Dynamic Load-Based Microgrid Using an Auxiliary Signal in the PV Control Loop,” IEEE Trans. Power Syst., vol. 30, no. 1, pp. 166–176, Jan. 2015.
[12] Z. Zhao, P. Yang, J. M. Guerrero, Z. Xu, and T. C. Green, “Multiple-time-scales hierarchical frequency stability control strategy of medium-voltage isolated microgrid,” IEEE Trans. Power Electron., vol. 31, no. 8, pp. 5974–5991, 2016.
[13] X. Guo, Z. Lu, B. Wang, X. Sun, L. Wang, and J. M. Guerrero, “Dynamic Phasors-Based Modeling and Stability Analysis of Droop-Controlled Inverters for Microgrid Applications,” IEEE Trans. Smart Grid, vol. 5, no. 6, pp. 2980–2987, 2014.
[14] S. M. Shahrtash and H. Khoshkhoo, “Fast online dynamic voltage instability prediction and voltage stability classification,” IET Gener. Transm. Distrib., vol. 8, no. 5, pp. 957–965, 2014.
[15] F. Dussaud, “An application of modal analysis in electric power systems to study inter-area oscillations,” KTH Royal Institute of Technology, 2015.
[16] B. Gao, G. K. Morison, and P. Kundur, “Voltage stability evaluation using modal analysis,” IEEE Trans. Power Syst., vol. 7, no. 4, pp. 1529–1542, 1992.
[17] G. K. Morison, B. Gao, and P. Kundur, “Voltage stability analysis using static and dynamic approaches,” Power Syst. IEEE Trans., vol. 8, no. 3, pp. 1159–1171, 1993.
[18] W. Xu and Y. Mansour, “Voltage stability analysis using generic dynamic load models,” Power Syst. IEEE Trans., vol. 9, no. 1, pp. 479–493, 1994.
[19] F. Milano, Power System Modelling and Scripting. Springer London Dordrecht Heidelberg New York, 2010.
[20] L. L. Grigsby, Ed., Power System Stability and Control. Florida: CRC Pres Taylor@Francis Group, 2012.
[21] S. Shirisha, P.L.V. Prasanna and N. Siva Mallikarjuna Ro, “Evaluation of Modal Analysis for Voltage Stability using Artificial Immune Systems,” International Journal of Computer Applications, vol. 46, no. 9, pp. 6–10, 2012.
[22] N. Hatziargyriou, MicrogridsArchitectures and Control. United Kingdom: John Wiley & Sons Ltd, 2014.
[23] E. Özdemir, “Dağılmış Enerji Üretim Sistemleri ve Yardımcı Hizmetler,” 12. Elektrik Elektronik Bilgisayar ve Biyomedikal Mühendisliği Ulusal Kongresi. Eskişehir, Türkiye, 2007.
[24] B. Tamimi, C. Cañizares, and K. Bhattacharya, “Modeling and Performance Analysis of Large Solar Photo-Voltaic Generation on Voltage Stability and Inter-area Oscillations,” Power Energy Soc. Gen. Meet. 2011 IEEE, pp. 1–6, 2011.
[25] J. G. Slootweg, “Wind Power: Modelling and Impact on Power System Dynamics,” Delft University of Technology, Delft, Netherlands, 2003.
[26] J. Padullés, G. W. Ault, and J. R. McDonald, “An integrated SOFC plant dynamic model for power systems simulation,” J. Power Sources, vol. 86, no. 1, pp. 495–500, 2000.
[27] Y. Zhu and K. Tomsovic, “Development of models for analyzing the load-following performance of microturbines and fuel cells,” Electr. Power Syst. Res., vol. 62, no. 1, pp. 1–11, 2002.
[28] F. Milano, “An open source power system analysis toolbox,” IEEE Trans. Power Syst., vol. 20, no. 3, pp. 1199–1206, 2005.
[29] A. Ellis, R. Walling, B. Zavadil, D. Jacobson, and R. Piwko, “Special Assessment: Interconnection Requirements for Variable Generation,” Atlanta, USA, 2012.