Privacy-Preserving Economic Dispatch Algorithm in Smart Grid with General Random Noise

Abstract

This paper considers the economic dispatch problem (EDP) in smart grid while preserving the privacy of the sensitive information, where the sensitive information is the operation cost. A novel privacy-preserving algorithm with general random noise is proposed to address the EDP. The advantage of this algorithm is that both Laplacian noise mechanism and Gaussian noise mechanism can be considered as the special case of the proposed algorithm. The convergence of the proposed algorithm is theoretically proved and the condition of ε-differential privacy and (ε, δ)-differential privacy are also obtained. Finally, two novel noises (staircase-shaped noise and decaying Gaussian noise) are used to design the privacy-preserving algorithm and verify the obtained results.