Title: Decentralized Stability and Nonlinearity of Inverter-Dominated Power Systems
Abstract: Inverter-based resources (IBRs) introduce many challenges for power system stability, including increased complexity in dynamic behavior, significant fluctuations in operating conditions, and lack of transparency in control implementations. Left unaddressed, naïve integration of IBRs will lead to reduced reliability—as evidenced by IBR-induced instabilities that operators are currently experiencing worldwide. This talk presents a decentralized stability criteria for power systems comprising inverter-based resources and synchronous generators. The framework ensures stability of the entire interconnection through individual assessments at each bus. As a result, the method is scalable and robust, and can accommodate variations in network conditions and plug-and-play of new components in the network. In addition to angle dynamics and their coupling with active power, a key novelty lies in the handling of voltage dynamics in association with reactive power. Loop transformation is performed to address the challenge due to the network Jacobian matrix being non-Laplacian in this case. In the second part of the talk, we will discuss using differential geometry and normal vectors to efficiently estimate the singular solution space boundary (SSB) and Hopf bifurcation.
Bio: Sijia Geng is an Assistant Professor in the Department of Electrical and Computer Engineering at Johns Hopkins University. She is a Core Faculty with the Ralph O’Connor Sustainable Energy Institute (ROSEI) and co-PI of the NSF EPICS Global Center. Before joining JHU, she was a Postdoctoral Associate at the Laboratory for Information & Decision Systems (LIDS) at MIT. Dr. Geng received her Ph.D. in Electrical and Computer Engineering from the University of Michigan, Ann Arbor, where she also obtained two M.S. degrees in Mathematics and in ECE. Her research interests include dynamics, control and stability of inverter-based smart grids and optimization of electrified transportation systems. She is the recipient of a Best Paper Award at the MIT/Harvard Applied Energy Symposium in 2022 and was named a Barbour Scholar and Rising Star in EECS in 2021.
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