TY - GEN
T1 - Certifying microgrid stability under large-signal intermittency
AU - Zhang, Richard Y.
AU - Elizondo, Jorge
AU - Kirtley, James L.
AU - White, Jacob K.
N1 - Funding Information:
This work was funded in part by the Skolkovo-MIT and the Kuwait-MIT initiatives in Computational Mathematics, the Cooperative Agreement between the Masdar Institute of Science and Technology (Masdar Institute), Abu Dhabi, UAE and the Massachusetts Institute of Technology (MIT), Cambridge, MA, USA (Reference 02/MI/MI/CP/11/07633/GEN/G/00), and in part by the Cooperative Agreement between the Nanjing SAC Power Grid Automation Co., Ltd. and the Massachusetts Institute of Technology (MIT), Cambridge, MA, USA.
Publisher Copyright:
© 2016 IEEE.
PY - 2016/8/30
Y1 - 2016/8/30
N2 - The uptake of high penetrations of renewable energy in microgrids is curtailed by concerns that their intermittency may cause the system to become unstable. The classic approach of small-signal stability analysis may lead to overly optimistic conclusions, because it implicitly assumes that the intermittency is small-signal in nature. Instead, LMI techniques from robust controls can be used to provide large-signal stability guarantees that overcome this limitation. In this paper, we give an illustrative example of a microgrid that is guaranteed to be stable under small-signal intermittency, and show that it can be made unstable when the intermittency becomes large-signal. Instead, we compute more conservative large-signal stability margins using Lyapunov analysis, and show that the small- and large-signal stability margins are related by the maximum allowable slew-rate of the intermittency.
AB - The uptake of high penetrations of renewable energy in microgrids is curtailed by concerns that their intermittency may cause the system to become unstable. The classic approach of small-signal stability analysis may lead to overly optimistic conclusions, because it implicitly assumes that the intermittency is small-signal in nature. Instead, LMI techniques from robust controls can be used to provide large-signal stability guarantees that overcome this limitation. In this paper, we give an illustrative example of a microgrid that is guaranteed to be stable under small-signal intermittency, and show that it can be made unstable when the intermittency becomes large-signal. Instead, we compute more conservative large-signal stability margins using Lyapunov analysis, and show that the small- and large-signal stability margins are related by the maximum allowable slew-rate of the intermittency.
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U2 - 10.1109/COMPEL.2016.7556707
DO - 10.1109/COMPEL.2016.7556707
M3 - Conference contribution
AN - SCOPUS:84988954424
T3 - 2016 IEEE 17th Workshop on Control and Modeling for Power Electronics, COMPEL 2016
BT - 2016 IEEE 17th Workshop on Control and Modeling for Power Electronics, COMPEL 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 17th IEEE Workshop on Control and Modeling for Power Electronics, COMPEL 2016
Y2 - 27 June 2016 through 30 June 2016
ER -