Voltage Stability Assessment by Holomorphically Estimating the Bifurcation Point of Electric Grids

摘要

Modernization of the grid, inclusive of high renewable energy penetration and the consequent power variability, requires fast power-flow computations for useful management of power in new network configurations. Voltage stability of an electrical grid is a big challenge to solve in power system operation, so as to avoid voltage collapse and subsequent black outs. This paper presents a novel means of voltage stability assessment by estimating the bifurcation point within the context of a non-iterative power-flow method known as Holomorphic Embedded Power Flow (HEPF). HEPF is computationally fast and guarantees solution to the power flow problem through constructing the mathematical solution for the power-flow problem, provided the solution exists. A 3-bus system is first used to explain the holomorphic matrix formulations and then demonstrated on a 4-bus system and a 9-bus test-case to evaluate proximity to a critical point with respect to load change.