Moment/Sum-of-Squares Hierarchy for Complex Polynomial Optimization

Cédric Josz , Daniel K. Molzahn
arXiv: Optimization and Control

35
2015
Toward Topologically Based Upper Bounds on the Number of Power Flow Solutions

Daniel K Molzahn , Matthew Niemerg , Dhagash Mehta
arXiv: Optimization and Control

2
2015
Recent Advances in Computational Methods for the Power Flow Equations

Konstantin Turitsyn , Daniel K Molzahn , Dhagash Mehta
arXiv: Optimization and Control

3
2015
Investigating the Maximum Number of Real Solutions to the Power Flow Equations: Analysis of Lossless Four-Bus Systems.

Jonathan D. Hauenstein , Daniel K. Molzahn , Matthew E. Niemerg , Dhagash Mehta
arXiv: Optimization and Control

5
2016
Computing the Feasible Spaces of Optimal Power Flow Problems

Daniel K. Molzahn
arXiv: Optimization and Control

2016
Locating and counting equilibria of the Kuramoto model with rank one coupling

Jonathan D. Hauenstein , Daniel K. Molzahn , Hoon Hong , Owen Coss
arXiv: Optimization and Control

1
2017
4
2017
2017
Improving QC Relaxations of OPF Problems via Voltage Magnitude Difference Constraints and Envelopes for Trilinear Monomials

Daniel K. Molzahn , Mohammad Rasoul Narimani , Mariesa L. Crow
arXiv: Optimization and Control

2018
Transient Stability Analysis of Power Systems via Occupation Measures

Cedric Josz , Somayeh Sojoudi , Daniel K. Molzahn , Matteo Tacchi
arXiv: Optimization and Control

1
2018
Inexact Convex Relaxations for AC Optimal Power Flow: Towards AC Feasibility

Daniel K. Molzahn , Daniel K. Molzahn , Andreas Venzke , Spyros Chatzivasileiadis
arXiv: Optimization and Control

2019
Inexact Convex Relaxations for AC Optimal Power Flow: Towards AC Feasibility

Daniel K. Molzahn , Daniel K. Molzahn , Andreas Venzke , Spyros Chatzivasileiadis
arXiv: Optimization and Control

2019
Optimal Power Flow for DC Networks with Robust Feasibility and Stability Guarantees

Daniel K. Molzahn , Xiaonan Lu , Chen Chen , Bai Cui
arXiv: Optimization and Control

2
2019
Implied Constraint Satisfaction in Power System Optimization: The Impacts of Load Variations

Line Roald , Daniel K. Molzahn
arXiv: Optimization and Control

3
2019
Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull

Ian A. Hiskens , Cedric Josz , Daniel K. Molzahn
arXiv: Optimization and Control

2016
A Laplacian-Based Approach for Finding Near Globally Optimal Solutions to OPF Problems

Ian A. Hiskens , Cédric Josz , Patrick Panciatici , Daniel K. Molzahn
arXiv: Optimization and Control

2015