Due to the growing inclusion of fluctuating energy generation into the power system nowadays a growing gap between both the temporal and local supply and the demand of electricity occurs. This leads to an increasing need of flexibility options such as energy storage and sector coupling. Within this thesis the HyFlow model is developed in MATLAB® to depict the electric power flow in energy systems. HyFlow is able to implement producers and consumers into a multi energy system which includes the energy carriers elecricity, heat and gas by referring to the cellular approach and connecting them via energy grids. The implementation of traditional energy storage systems as well as hybrid elements is included in order to analyse the impact of different stages of development on the power flow and storage level of hybrid energy systems. As part of this thesis the basic structure and functional principal of HyFlow are explained. Additionally by comparing it to other models its special features are elaborated. After validating the energy transport via the grids for electricity, heat and gas various simulations are done to demonstrate the model's applicability in a wide range of use cases. In the end a summary and future prospects about the further use and development of HyFlow are given.