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math.OC2022
Notes on BIM and BFM Optimal Power Flow With Parallel Lines and Total Current Limits
Frederik Geth, Bin Liu
The second-order cone relaxation of the branch flow model (BFM) and bus injection model (BIM) variants of optimal power flow are well-known to be equivalent for radial networks. In…
math.OC2022
Load Balancing in Low-Voltage Distribution Networks via Optimizing Residential Phase Connections
Bin Liu, Frederik Geth, Nariman Mahdavi +1
Unbalance issues in low-voltage distribution networks (LVDN) can be worsened by increasing penetration of residential PV generation if unevenly distributed among three phases. To a…
math.OC2021
Improving Optimal Power Flow Relaxations Using 3-Cycle Second-Order Cone Constraints
Frederik Geth, James Foster
This paper develops a novel second order cone relaxation of the semidefinite programming formulation of optimal power flow, that does not imply the `angle relaxation'. We build on…