14 citations · 18 across the 4 of their papers we have counts for
9 papers
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…
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…
Worst-Case Sensitivity of DC Optimal Power Flow Problems
James Anderson, Fengyu Zhou, Steven H. Low
In this paper we consider the problem of analyzing the effect a change in the load vector can have on the optimal power generation in a DC power flow model. The methodology is base…
A Note on Branch Flow Models with Line Shunts
Fengyu Zhou, Steven H. Low
When the shunt elements in the Pi circuit line model are assumed zero, it has been proved that branch flow models are equivalent to bus injection models and that the second-order c…
Sufficient Conditions for Exact Semidefinite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks
Fengyu Zhou, Yue Chen, Steven H. Low
This paper proves that in an unbalanced multi-phase network with a tree topology, the semidefinite programming relaxation of optimal power flow problems is exact when critical buse…
The Optimal Power Flow Operator: Theory and Computation
Fengyu Zhou, James Anderson, Steven H. Low
Optimal power flow problems (OPFs) are mathematical programs used to determine how to distribute power over networks subject to network operation constraints and the physics of pow…