Dynamics and Stability of Meshed Multi terminal HVDC Networks


In multiterminal HVdc grids, this work explores if an equilibrium point exists, evaluates its uniqueness, and specifies parameters to guarantee its stability. As a testing instance, an offshore multiterminal HVdc system with two wind farms has been selected. To begin, a multigraph theory-based generalised dynamic network model is developed. Using droop regulation, this nonlinear model captures the frequency dependence of transmission lines and cables and presents a reasonable degree of simplifications for modular multilevel converters under specific conditions, allowing system level investigations over potentially huge networks to be conducted. The Banach fixed point theorem, which is based on this model, can be used to show that the equilibrium point exists and is unique. Krasovskii's theorem is used to derive a Lyapunov function for the stability of the equilibrium. The existence and stability of the equilibrium point is confirmed by the results of computations on the selected four-terminal HVdc grid.

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