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20152022
most citedCombining Model-Based and Model-Free Methods for Nonlinear Control: A Provably Convergent Policy Gradient Approach

11 citations · 35 across the 16 of their papers we have counts for

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math.OC2022

Towards Balanced Three-phase Charging: Phase Optimization in Adaptive Charging Networks

Zixin Ye, Tongxin Li, Steven H. Low

We study the problem of phase optimization for electric-vehicle (EV) charging. We formulate our problem as a non-convex mixed-integer programming problem whose objective is to mini…

math.OC2021

A Spectral Representation of Power Systems with Applications to Adaptive Grid Partitioning and Cascading Failure Localization

Alessandro Zocca, Chen Liang, Linqi Guo +2

Transmission line failures in power systems propagate and cascade non-locally. This well-known yet counter-intuitive feature makes it even more challenging to optimally and reliabl…

math.OC2021

Conditions for Exact Convex Relaxation and No Spurious Local Optima

Fengyu Zhou, Steven H. Low

Non-convex optimization problems can be approximately solved via relaxation or local algorithms. For many practical problems such as optimal power flow (OPF) problems, both approac…

math.OC202011 cited

Combining Model-Based and Model-Free Methods for Nonlinear Control: A Provably Convergent Policy Gradient Approach

Guannan Qu, Chenkai Yu, Steven Low +1

Model-free learning-based control methods have seen great success recently. However, such methods typically suffer from poor sample complexity and limited convergence guarantees. T…

math.OC2020

Approaching Prosumer Social Optimum via Energy Sharing with Proof of Convergence

Yue Chen, Changhong Zhao, Steven H. Low +1

With the advent of prosumers, the traditional centralized operation may become impracticable due to computational burden, privacy concerns, and conflicting interests. In this paper…

math.OC2020

Exactness of OPF Relaxation on Three-phase Radial Networks with Delta Connections

Fengyu Zhou, Ahmed S. Zamzam, Steven H. Low +1

Simulations have shown that while semi-definite relaxations of AC optimal power flow (AC-OPF) on three-phase radial networks with only wye connections tend to be exact, the presenc…