The main challenges for renewable energy integration in electrical grid system are their variability and prediction. Tidal renewable energy is considered low variability in comparison to wind energy generation and due to tides regular periodicity, it is often quoted as predictable. This paper presents the modeling of Orkney's distribution network with the integration of tidal energy. This multi-physics model is based on the graphical formalism tool, Energetic Macroscopic Representation (EMR). This tool has been used to analyze the Tidal energy conversion (TEC) system based on the behavior of permanent magnet synchronous machine (PMSM). The daily, monthly and yearly variations of marine water speed in Orkney were observed. The EMR has been efficiently used in the representation of Orkney energy system integration of Orbital O2 tidal systems, and showing its effectiveness to adopt the control strategy. More precisely, the data of current water profile for 2009 has been chosen from 10 years big data to test the adopted deduced control technique. The methodology of this tool is described in details and the simulation results obtained in MATLAB environment are presented.