Compound Model of Inverter Driven Grids Stability Analysis of Island Power Grids Containing Only Voltage Source Inverters

This paper presents a structured development of a compound state space model of an inverter driven power grid. It allows to perform stability investigations on power grids, depending on the inverter parameters influencing their dynamich behavior and on the grid structure. The general approach is to separate the active components, i.e. the inverters, from the passive components, i.e. the grid, and model them separately. A state space model of a single voltage source inverter is developed and then extended into a multi-inverter model. Based on the linearized power equations of one grid branch, a matrix representation of the grid is developed, based on the sorted node incidence matrix. The grid matrix model and the multi-inverter state space model are joined into one compound control model for inverter driven power grids.