Commutation process; Electromagnetic transient program; Fast periodic steady state; Limit cycle; Newton method; Numerical differentiation; Unified power-flow controllers (UPFCs) Electric control equipment; Electric power systems; Electric power transmission networks; Electromagnetism; Extrapolation; Newton-Raphson method; Power transmission; Commutation process; Control strategies; Electric systems; Electromagnetic Transient Program (EMTP); Limit cycling; Newton methods; Power system blockset (PSB); Power systems; PSCAD/EMTDC; SIMULINK (Software); Steady state solutions; Time domain (OCT); Unified-power-flow-controller (UPFC); Control systems