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Systematic Approach for Finding the Linearizable Regions in Dynamic Power System Models

For stability studies, a TSO is simulating contingencies on a dynamic model that covers a lot more than its own network. This extension is needed for accurately reproducing the behavior of the real network, but intensifies in return the computational and the data management burdens. In this paper, a systematic approach is proposed for finding the regions within the external area that display a seemingly linear behavior, and are candidate for model simplification. The overall strategy consists in partitioning the external area into multiple clusters, and assessing their degree of nonlinearity individually. Upon fault clearance, the free motion of every cluster is compared with the one of their linear counterpart to determine a nonlinearity indicator. The responses are derived analytically to facilitate the integration into existing simulation software. The validity of the approach is assessed on the IEEE 118-Bus test system for different faults and operating conditions.

Author(s):

Johnny Leung    
Université libre de Bruxelles
Belgium

Michel Kinnaert    
Université libre de Bruxelles
Belgium

Jean-Claude Maun    
Université libre de Bruxelles
Belgium

Fortunato Villella    
Elia Grid International
Belgium

 

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