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

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.