In response to government's global warming targets, electric vehicles (EV) penetration is increasing rapidly. To support the uptake of EVs and facilitate their charging demands, the charging technology and infrastructure also need to be developed. In this paper, the modelling of a wireless power transfer (WPT) system is developed considering a static scenario and then adapting the model for a dynamic charging scenario. This research work is aiming to replace previously used transformer approximation of WPT, before adapting the model for dynamic charging. Using the proposed implementation, it is possible to easily vary system parameters, design and control, providing a solid foundation for future research. The resulting model uses a pair of inductive coils and allows full control over coil misalignment (in three dimensions), further facilitating the use of variable misalignment for dynamic application.