Research On Economic Dispatch Of Smart Grid Based On Distributed Privacy-Preserving Algorithm

Smart grid is a fully automated power transmission network that can monitor and control every user and grid node,ensuring bidirectional flow of information and electrical energy from power plants to end users.Economic dispatch problem is one of the fundamental issues in smart grid,which aims to minimize the economic cost by adjusting the power output of each generator under certain constraints.Currently,consensus-based distributed algorithms are widely used to solve the economic dispatch problem in smart grid.These algorithms require information exchange among the units in the power system,which may result in privacy information leakage.In this thesis,we study privacypreserving smart grid dispatch algorithms,and the main research contents are as follows.(1)On the premise of protecting sensitive information privacy,this study investigates the incentive-based demand response(IDR)economic dispatch problem(EDP).Firstly,an objective optimization model for the economic dispatch problem is established based on IDR.Then,a privacy-preserving economic dispatch algorithm is proposed based on functional Laplace noise,and its convergence is theoretically proven.The results show that the algorithm can converge to the optimal solution of the economic dispatch problem.In addition,the convergence and security of the algorithm are analyzed.Finally,the correctness and effectiveness of the obtained results are verified through simulation examples.(2)A new privacy-preserving economic dispatch algorithm for smart grids is proposed based on a node decomposition mechanism.In this algorithm,each node is decomposed into |Ni| sub-nodes based on its number of neighbors |Ni|,and they are connected in the form of a chain graph.Each sub-node is only connected to a non-source sub-node generated by a different node.Therefore,the proposed algorithm enhances the privacy of the initial values without increasing the complexity of encryption computation.Furthermore,the convergence and security of the algorithm are theoretically proven.The results show that the algorithm can converge to the optimal solution of the economic dispatch problem while ensuring privacy.Finally,the correctness and effectiveness of the proposed algorithm are verified through a simulation example.