| Economic dispatch of power system is an important optimization problem in power system operation and planning,which has an important impact on the safe and economic operation of power system.In the context of the current "double carbon" strategy,the optimal dispatching solution obtained through economic dispatching is of great significance for energy saving and.emission reduction of power system.The ’mathematical model of power system economic dispatching problem is high-dimensional,non-linear and multi-constrained,which puts higher requirements on the performance of the optimization algorithm,and the performance of the algorithm directly determines the dispatching results.In view of this,this paper proposes a distributed optimization algorithm that considers the time-varying and privacy protection problems in the process of unit optimization information transfer,and designs a transformation strategy for the constrained problem to improve the algorithm performance according to the characteristics of the constraints.The main research contents of this paper are as follows.(1)A time-varying distributed algorithm based on time-varying directed algorithm is proposed to solve the economic dispatch optimization problem for the time-varying nature of unit dispatch information transfer in the cooperative cooperation of generating units in the economic dispatch process.The convergence of the algorithm is theoretically demonstrated,and it is proved that the algorithm can converge to the optimal solution.The IEEE 14 bus test system is used to verify the algorithm,and the results of optimal output,supply-demand balance and total coal consumption evolution of each unit are obtained.Compared with the existing column stochastic algorithm,the robustness and applicability of the algorithm are improved.(2)To address the privacy data leakage problem of the direct exchange and transmission mode of unit scheduling information in the process of economic scheduling,this paper proposes a distributed optimization algorithm for economic scheduling with privacy data protection.The idea of differential privacy is introduced,a constraint transformation strategy based on Lagrange multiplier method is designed,and the IEEE 14 bus test system is used to verify the arithmetic cases.The results show that the true value of the objective function is well protected during the unit information transfer process,and the protection of the privacy data of the power system is achieved.Compared with the existing literature,the algorithm proposed in this paper can achieve privacy data protection while ensuring the convergence of the scheduling scheme to the optimal value.(3)A time-varying time-varying distributed economic dispatch optimization algorithm considering errors is proposed for the problem of noise-induced errors in the transmission of unit dispatch information in the economic dispatch process,and the algorithm considers the coupling of multiple time periods.The IEEE 30 bus test system is used to verify the algorithm,and the optimal scheduling scheme and optimal coal consumption of each unit are obtained.The results are compared with those of NPGA,FCPSO,MOPSO,BBMOPSO and other algorithms in the existing literature.The results show that the algorithm proposed in this paper solves for the lowest coal consumption cost,and the algorithm characteristics are significantly better than those of the comparison algorithm,and the optimality of the scheduling scheme is guaranteed theoretically. |