Hopf Oscillator-based Matching Control and Analysis in Isolated Inverter-Dominated Power Systems

In this paper, a Hopf oscillator-based weakly nonlinear oscillator is proposed to present its electromagnetic model, and then the matching control analysis framework is given from viewpoint of large-scale power system level. As internal core, the Hopf oscillator considers angular frequency and voltage amplitude as inputs, and it is used to emulate sinusoidal waveforms of electromagnetic transients. Correspondingly, approximated analytical solution of the oscillator and precise control are derived. Furthermore, angular frequency as output is generated by inertia motion, and voltage amplitude is emulated by virtual generator exciter. On this basis, the matching control framework is presented including inertia and primary controls and so on. Finally, the proposed control and matching approaches are verified by employing isolated IEEE 9-bus power system with 100<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">%</sup> grid forming inverters.