Flexibility Resource Aggregation Model Based on Improved Boundary Shrinkage Algorithm
On the demand side,regulation of energy storage,electric vehicles and other types of flexibility resources is an important regulator for improving the flexibility of the distribution system.In order to more accurately portray the aggregation flexibility of flexibility resource clusters,a flexibility aggregation method based on an improved boundary contraction algorithm is proposed.The flexibility resources are first inscribed into a equivalent energy storage model,followed by a boundary contraction algorithm based on high-dimensional polyhedral to solve the parameters of the aggregate equivalent model.On this basis,by adjusting the self-discharge coefficient of the equivalent energy storage model,the slopes of several hyperplanes of the external polyhedron of the polymerized equivalent model are made adjustable,thus changing the shape of the contracted internally connected polyhedral.Monte Carlo simulation is then used to sample the original aggregated feasible domains and calculate the sample coverage of the feasible trajectories of the aggregated equivalent model,which is used as an assessment of the effectiveness of the approximation.Finally,particle swarm optimization algorithm is used to find the self-discharge coefficients when the model has a maximum internally connected polyhedron,thus obtaining the optimal parameters for the equivalent energy storage.Example results show that the improved boundary contraction algorithm coverages to a larger space of feasible domains and improves the approximation accuracy by 13.54%compared to the original method,and the results have a lower conservatism.
flexibility resourcesflexibility aggregationequivalent energy storageimproved boundary shrinkage algorithm