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The Mobile VISMA is a power electronics device for V2G applications which behaves like an electromechanical synchronous machine and offers the same beneficial properties to the power network, increasing inertia in the system, stabilizing the grid voltage, and providing a short-circuit current in case of grid faults. The VISMA performs a real-time simulation of a synchronous machine and calculates the phase currents that an electromagnetic synchronous machine would produce under the same local grid conditions. These currents are fed into the grid using a current-controlled inverter. In this dissertation the requirements for a machine model suitable for the VISMA are set, and a mathematical mo...