As the amount of volatile, renewable energy sources in power distribution grids is increasing, the stability of the latter is a vital aspect for grid operators. Within the STABEEL project, the authors seek to develop better rules on how to parametrise the reactive power control of various sources within a distribution grid to increase the performance while guaranteeing stability. As a first step in this direction, this contribution presents a time-domain based modelling approach for a fixed grid frequency that provides the state-space models needed for the following stability analysis. In detail, models for generic grid components are created which are later combined into a dynamic system by using a provided grid topology. Depending on the specific design goal, this process yields different model variants which are evaluated by using a benchmark model.