205
Views
26
Downloads
1
Crossref
N/A
WoS
0
Scopus
N/A
CSCD
With the integration of a voltage source converter (VSC), having variable internal voltages and source impedance, in a microgrid with high resistance to reactance ratio of short lines, angle-based transient stability techniques may find limitations. Under such a situation, the Lyapunov function can be a viable option for transient stability assessment (TSA) of such a VSC-interfaced microgrid. However, the determination of the Lyapunov function with the classical method is very challenging for a microgrid with converter controller dynamics. To overcome such challenges, this paper develops a physics-informed, Lyapunov function-based TSA framework for VSC-interfaced microgrids. The method uses the physics involved and the initial and boundary conditions of the system in learning the Lyapunov functions. This method is tested and validated under faults, droop-coefficient changes, generator outages, and load shedding on a small grid-connected microgrid and the CIGRE microgrid.
With the integration of a voltage source converter (VSC), having variable internal voltages and source impedance, in a microgrid with high resistance to reactance ratio of short lines, angle-based transient stability techniques may find limitations. Under such a situation, the Lyapunov function can be a viable option for transient stability assessment (TSA) of such a VSC-interfaced microgrid. However, the determination of the Lyapunov function with the classical method is very challenging for a microgrid with converter controller dynamics. To overcome such challenges, this paper develops a physics-informed, Lyapunov function-based TSA framework for VSC-interfaced microgrids. The method uses the physics involved and the initial and boundary conditions of the system in learning the Lyapunov functions. This method is tested and validated under faults, droop-coefficient changes, generator outages, and load shedding on a small grid-connected microgrid and the CIGRE microgrid.
Farrokhabadi, M., Canizares, C. A., Simpson-Porco, J. W., Nasr, E., Fan, L., Mendoza-Araya, P. A., Tonkoski, R., Tamrakar, U., Hatziargyriou, N., Lagos, D., et al. (2020). Microgrid stability definitions, analysis, and examples. IEEE Transactions on Power Systems, 35: 13–29.
Zhang, Y., Xie, L. (2016). A transient stability assessment framework in power electronic-interfaced distribution systems. IEEE Transactions on Power Systems, 31: 5106–5114.
Zhong, Q. C., Weiss, G. (2011). Synchronverters: Inverters that mimic synchronous generators. IEEE Transactions on Industrial Electronics, 58: 1259–1267.
Shintai, T., Miura, Y., Ise, T. (2014). Oscillation damping of a distributed generator using a virtual synchronous generator. IEEE Transactions on Power Delivery, 29: 668–676.
Majumder, R., Chaudhuri, B., Ghosh, A., Majumder, R., Ledwich, G., Zare, F. (2010). Improvement of stability and load sharing in an autonomous microgrid using supplementary droop control loop. IEEE Transactions on Power Systems, 25: 796–808.
Sun, H., Lin, X., Huang, G., Zhang, J., Liu, D., Jiang, K., Kang, Y. (2023). The transient instability mechanism and stability-enhanced LVRT control for VSC riding-through severe grid voltage sag. IET Renewable Power Generation, 17: 2038–2049.
Mishra, P., Pradhan, A. K., Bajpai, P. (2021). Adaptive distance relaying for distribution lines connecting inverter-interfaced solar PV plant. IEEE Transactions on Industrial Electronics, 68: 2300–2309.
Pogaku, N., Prodanovic, M., Green, T. C. (2007). Modeling, analysis and testing of autonomous operation of an inverter-based microgrid. IEEE Transactions on Power Electronics, 22: 613–625.
Nagrath, I. J., Kothari, D. P., Desai, R. C. (1982). Modern power system analysis. IEEE Transactions on Systems, Man, and Cybernetics, 12: 96–96.
Chiang, H. D. (1989). Study of the existence of energy functions for power systems with losses. IEEE Transactions on Circuits and Systems, 36: 1423–1429.
Vu, T. L., Turitsyn, K. (2016). Lyapunov functions family approach to transient stability assessment. IEEE Transactions on Power Systems, 31: 1269–1277.
Kabalan, M., Singh, P., Niebur, D. (2017). Large signal Lyapunov-based stability studies in microgrids: A review. IEEE Transactions on Smart Grid, 8: 2287–2295.
Kabalan, M., Singh, P., Niebur, D. (2019). Nonlinear Lyapunov stability analysis of seven models of a DC/AC droop controlled inverter connected to an infinite bus. IEEE Transactions on Smart Grid, 10: 772–781.
He, M., Zhang, J., Vittal, V. (2013). Robust online dynamic security assessment using adaptive ensemble decision-tree learning. IEEE Transactions on Power Systems, 28: 4089–4098.
Xu, Y., Dong, Z. Y., Zhao, J. H., Zhang, P., Wong, K. P. (2012). A reliable intelligent system for real-time dynamic security assessment of power systems. IEEE Transactions on Power Systems, 27: 1253–1263.
Huang, T., Gao, S., Xie, L. (2022) A neural Lyapunov approach to transient stability assessment of power electronics-interfaced networked microgrids. IEEE Transactions on Smart Grid, 13: 106–118.
Mishra, P., Pradhan, A. K., Bajpai, P. (2019). Voltage control of PV inverter connected to unbalanced distribution system. IET Renewable Power Generation, 13: 1587–1594.
Lin, H., Jia, C., Guerrero, J. M., Vasquez, J. C. (2017). Angle stability analysis for voltage-controlled converters. IEEE Transactions on Industrial Electronics, 64: 6265–6275.
Xue, Y., Van Custem, T., Ribbens-Pavella, M. (1989). Extended equal area criterion justifications, generalizations, applications. IEEE Transactions on Power Systems, 4: 44–52.
Xue, Y., Pavella, M. (1989). Extended equal-area criterion: An analytical ultra-fast method for transient stability assessment and preventive control of power systems. International Journal of Electrical Power & Energy Systems, 11: 131–149.
This work was partly supported by the National Science Foundation under Grant No. ITE-2134840. This work relates to the Department of Navy award N00014-23-1-2124 issued by the Office of Naval Research. The United States Government has a royalty-free license worldwide for all copyrightable material contained herein.
This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).