Optimized Reduced Jacobian Formulation for Simultaneous Solution of Control Systems in Electromagnetic Transient Simulations

This article proposes a new optimized and reduced order Jacobian formulation for the simultaneous solution of control system block-diagrams with feedback loops in the simulation of electromagnetic transients. A reduced order Jacobian matrix formulation has been previously introduced for block-diagrams by solving a minimum Feedback Arc Set (FAS) problem. This article enhances the latter method by proposing a faster formulation and exploring efficient heuristics for the FAS problem. This optimized reduced Jacobian formulation is implemented in a generic tool for the simulation of electromagnetic transients and demonstrated for large-scale and practical power systems.