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A Comparison of Numerical Integration methods and Discontinuity Treatment for EMT Simulations

A variety of numerical integration methods are cur- rently being used for simulating electromagnetic transients in commercial software and experimental codes. This paper intends to provide a review and comparison of these methods for time- domain integration, including 2S-DIRK, ARTEMiS art5 solver, and a semi-analytical matrix exponential-based method. The pos- sibility of utilizing these methods is explored for reliable and effi- cient treatment of discontinuity, which is known to give rise to numerical oscillations for the widely used trapezoidal method. Case studies are conducted to show the strengths and limitations of these methods and their combinations.

Author(s):

Xiaopeng Fu    
Polytechnique de Montréal
Canada

Serigne Mouhamadou Seye    
Polytechnique de Montréal
Canada

Jean Mahseredjian    
Polytechnique de Montréal
Canada

Ming Cai    
Polytechnique de Montréal
Canada

Christian Dufour    
OPAL-RT Technologies
Canada

 

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