Affinely adjustable robust AC–DC optimal power flow considering correlation of wind power

Abstract

Wind power outputs will bring larger computational error in actual operation without considering the correlation. This study presents an affinely adjustable robust optimisation method for AC-DC optimal power flow (AC-DC AAROPF) considering the correlation of wind power. Affine policies are utilised in the re-dispatch process to ensure the feasibility of the infinite scenarios of uncertainties. After transforming AC-DC AAROPF to a tractable model, a novel approach based on simplified pair copula to consider multiple dependence of wind power is presented. The AC-DC AAROPF is evaluated on the modified AC-DC IEEE 30-bus and 118-bus system. Results show a modest increase in expected cost for reasonable levels of uncertainty representing forecast error confidence intervals, which obtains a more robust solution with higher successful rates.

An adjustable Predictive&Prescriptive method for the RO-based optimal power flow problem

“…When analyzing uncertainty problems, it is necessary to consider the influence of uncertainty parameters. According to the analysis sequence on uncertainty, optimization methods of uncertainty problems can be divided into post-analysis [ 8 ] and pre-analysis [ 9 ]. Nowadays, stochastic optimization (SO) and robust optimization (RO) are popular.…”

Robust optimisation framework for SCED problem in mixed AC‐HVDC power systems with wind uncertainty

“…In the literature, RO has been extensively used to solve the economic dispatch [14][15][16][17] and unit commitment problems [18][19][20][21][22][23]. In [20,[24][25][26][27], several power system planning problems are studied using two-stage RO models, where the first stage variables are determined before realising the uncertainty, and the second stage variables are 'wait-and-see' decisions that can be adjusted after realising the uncertainty, i.e. actual wind power output.…”