H2 Performance Bounds for Voltage Regulation on a Spatially-Invariant DC Power Grid
نویسندگان
چکیده
Voltage regulation is critical to the operation of power grids, and complex, hierarchical control policies are used to guarantee that the line voltages are within tolerable limits. Despite the importance of voltage regulation and its impact on policy, such as in the adoption of renewable energy sources, little is understood about how the structure of the grid itself impacts the ability of the system to regulate the voltages. In this paper, we apply spatial-invariance analysis to develop analytic upper and lower bounds for the H2 gain of a DC power grid with respect to voltage regulation. These bounds reveal fundamental limits to performance that cannot be overcome using feedback control.
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