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Numerical Computation of Critical Parameter Values for Fault Recovery in Power Systems

Power systems are becoming increasingly vulnerable to disturbances. Therefore, it is valuable for system operators to be able to identify, for a particular disturbance, critical parameter values for which the system is marginally able to recover to its original operating point. This work presents an efficient algorithm for numerically computing critical parameter values by exploiting the presence of a special equilibrium point, called the controlling equilibrium point, on the boundary of the operating point's region of attraction. Recent theoretical results provide local guarantees for the method. The algorithm is demonstrated on a test case involving a network of synchronous machines, and used to find the critical fault clearing time and generator moments of inertia for which the system is marginally able to recover from a particular fault.

Author(s):

Michael Fisher    
University of Michigan
United States

Ian Hiskens    
University of Michigan
United States

 

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