activity
20172020
collaborators

8 papers

math.OC2020

Robust AC Optimal Power Flow with Robust Convex Restriction

Dongchan Lee, Konstantin Turitsyn, Daniel K. Molzahn +1

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the syst…

math.OC2020

Robust Model Predictive Control for Nonlinear Systems Using Convex Restriction

Dongchan Lee, Konstantin Turitsyn, Jean-Jacques Slotine

We present an algorithm for robust model predictive control with consideration of uncertainty and safety constraints. Our framework considers a nonlinear dynamical system subject t…

math.OC2019

Sequential Convex Restriction and its Applications in Robust Optimization

Dongchan Lee, Konstantin Turitsyn, Jean-Jacques Slotine

This paper presents a convex sufficient condition for solving a system of nonlinear equations under parametric changes and proposes a sequential convex optimization method for solv…

math.OC2019

Feasible Path Identification in Optimal Power Flow with Sequential Convex Restriction

Dongchan Lee, Konstantin Turitsyn, Daniel K. Molzahn +1

Nonconvexity induced by the nonlinear AC power flow equations challenges solution algorithms for AC optimal power flow (OPF) problems. While significant research efforts have focus…

math.OC2018

A Robustness Measure of Transient Stability under Operational Constraints in Power Systems

Liviu Aolaritei, Dongchan Lee, Thanh Long Vu +1

The aggressive integration of distributed renewable sources is changing the dynamics of the electric power grid in an unexpected manner. As a result, maintaining conventional perfo…

math.OC2018

Convex Restriction of Power Flow Feasibility Sets

Dongchan Lee, Hung D. Nguyen, Krishnamurthy Dvijotham +1

The convex restriction of the power flow feasible sets identifies the convex subset of power injections where the solution for power flow is guaranteed to exist and satisfy the ope…