DOI:10.35833/MPCE.2021.000160 Convex Reformulation for Two-sided Distributionally Robust Chance Constraints with Inexact Moment Information Page view: 272        Net amount: 372 Author: Lun Yang1,Yinliang Xu1,Zheng Xu1,Hongbin Sun2 Author Affiliation: 1.the Tsinghua-Berkeley Shenzhen Institute, Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, China;2.the Department of Electrical Engineering, State Key Laboratory of Power Systems, Tsinghua University, Beijing 100084, China Foundation: This work was supported by the Natural Science Foundation of Guangdong Province (No. 2021A1515012450). Abstract: Constraints on each node and line in power systems generally have upper and lower bounds, denoted as two-sided constraints. Most existing power system optimization methods with the distributionally robust (DR) chance-constrained program treat the two-sided DR chance constraint separately, which is an inexact approximation. This letter derives an equivalent reformulation for the generic two-sided DR chance constraint under the interval moment based ambiguity set, which does not require the exact moment information. The derived reformulation is a second-order cone program (SOCP) formulation and is then applied to the optimal power flow (OPF) problem under uncertainty. Numerical results on several IEEE systems demonstrate the effectiveness of the proposed SOCP formulation and show the differences with other DR chance-constrained OPF approaches. Keywords: Two-sided chance constraint ; distributionally robust ; conic reformulation ; interval moment ; optimal power flow Received:March 10, 2021               Online Time:2022/07/15 View Full Text       Download reader