Steady-state solution of a VFT park using the limit cycle method and a reduced order model

A VFT park model suitable for stability analyses of asynchronous links is presented in this work. This model allows the simulation of multi-unit VFTs operated in parallel in order to increase the power transfer between two electric power systems. The backbone of the VFT model relies on a reduced order model of a wound-rotor induction machine. The VFT control system includes power and speed regulators in order to provide a smooth dynamic operation. The computation of the steady-state operating point is achieved with the limit cycle method based on a Newton method and the Poincareacute map. This approach is particularly useful for the fast determination of the steady-state operating point of the variable frequency transformer because of the inherently large inertia of its rotary machine, which may cause a prolonged transient response after a system disturbance. The computation of the steady-state operating point with an acceleration procedure based on the limit cycle method paves the way to carry-out efficient stability studies. The steady-state operating point of a VFT park consisting of three 100 MW VFT units is computed for different operating scenarios.