Identifying Parameter Space for Robust Stability in Nonlinear Networks: A Microgrid Application
Autor: | Kevin P. Schneider, Soumya Kundu, Frank Tuffner, Sai Pushpak Nandanoori, Wei Du |
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Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: |
0209 industrial biotechnology
Polynomial business.industry Computer science 020209 energy Stability (learning theory) 02 engineering and technology Dynamical Systems (math.DS) Modular design Parameter space 020901 industrial engineering & automation Control theory Optimization and Control (math.OC) 0202 electrical engineering electronic engineering information engineering Key (cryptography) FOS: Mathematics Inverter Microgrid Mathematics - Dynamical Systems business Mathematics - Optimization and Control Parametric statistics |
Zdroj: | ACC |
Popis: | As modern engineering systems grow in complexity, attitudes toward a modular design approach become increasingly more favorable. A key challenge to a modular design approach is the certification of robust stability under uncertainties in the rest of the network. In this paper, we consider the problem of identifying the parametric region, which guarantees stability of the connected module in the robust sense under uncertainties. We derive the conditions under which the robust stability of the connected module is guaranteed for some values of the design parameters, and present a sum-of-squares (SOS) optimization-based algorithm to identify such a parametric region for polynomial systems. Using the example of an inverter-based microgrid, we show how this parametric region changes with variations in the level of uncertainties in the network. accepted for presentation at the IEEE 2019 American Control Conference |
Databáze: | OpenAIRE |
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