Daniel K. Molzahn

Publications

Note that the pdf files archived here are the papers submitted by the authors as allowed by the journals' copyright policies. Please see the links for the copy of record, which may have different formatting and slightly different content. Also note that code implementing many of the semidefinite optimization techniques proposed in the following papers is available in the package SDP_PF in the latest release of MATPOWER.

Google Scholar Profile

[ Preprints ] [ 2024 ] [ 2023 ] [ 2022 ] [ 2021 ] [ 2020 ] [ 2019 ] [ 2018 ] [ 2017 ] [ 2016 ] [ 2015 ] [ 2014 ] [ 2013 ] [ 2012 ] [ 2011 ] [ 2010 ]


    Journal Papers

  • M. Pollack, R. Piansky, S. Gupta, A. Kody, and D.K. Molzahn, "Equitably Allocating Wildfire Resilience Investments for Power Grids – The Curse of Aggregation and Vulnerability Indices," submitted.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • B. Taheri, R. Gupta and D.K. Molzahn, "Optimized LinDistFlow for High-Fidelity Power Flow Modeling of Distribution Networks," submitted.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • R. Gupta and D.K. Molzahn, "Improving Fairness in Photovoltaic Curtailments via Daily Topology Reconfiguration for Voltage Control in Power Distribution Networks," submitted.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M. Alkhraijah and D.K. Molzahn, "A Fault-Tolerant Distributed Termination Method for Distributed Optimization Algorithms," submitted.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M.R. Narimani, D.K. Molzahn, K.R. Davis, and M.L. Crow, "Tightening QC Relaxations of AC Optimal Power Flow through Improved Linear Convex Envelopes," submitted.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M. Alkhraijah, R. Harris, S. Litchfield, D. Huggins, and D.K. Molzahn, "Detecting Shared Data Manipulation in Distributed Optimization Algorithms," submitted.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • R. Harris, M. Alkhraijah, and D.K. Molzahn, "Optimally Managing the Impacts of Convergence Tolerance for Distributed Optimal Power Flow," submitted.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • P. Buason, S. Misra, J.P. Watson, and D.K. Molzahn, "Adaptive Power Flow Approximations with Second-Order Sensitivity Insights," submitted.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • C. Hettle, S. Gupta, and D.K. Molzahn, "Fair and Reliable Reconnections for Temporary Disruptions in Electric Distribution Networks using Submodularity," submitted.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • R. Gupta and D.K. Molzahn, "Analysis of Fairness-promoting Optimization Schemes of Photovoltaic Curtailments for Voltage Regulation in Power Distribution Networks," submitted.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • S. Talkington, R. Gupta, R. Asiamah, P. Buason, and D.K. Molzahn, "Strategic Electric Distribution Network Sensing via Spectral Bandits," submitted.
     [ abstract ] [ pdf ] [ Ref: bib txt ]

    Journal Papers

  • A. Jalilian, B. Taheri, and D.K. Molzahn, "Co-Optimization of Damage Assessment and Restoration: A Resilience-Driven Dynamic Crew Allocation for Power Distribution Systems," to appear in IEEE Transactions on Power Systems.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • P. Buason, S. Misra, and D.K. Molzahn, "A Data-Driven Sensor Placement Approach for Detecting Voltage Violations in Distribution Systems," Electric Power Systems Research, vol. 232, no. 110387, July 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • R. Piansky, G. Stinchfield, A. Kody, D.K. Molzahn, and J.P. Watson, "Long Duration Battery Sizing, Siting, and Operation Under Wildfire Risk Using Progressive Hedging," to appear in Electric Power Systems Research, to be presented at 23rd Power Systems Computation Conference (PSCC), June 4-7, 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • B. Taheri and D.K. Molzahn, "Optimizing Parameters of the DC Power Flow," to appear in Electric Power Systems Research, to be presented at 23rd Power Systems Computation Conference (PSCC), June 4-7, 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • B. Taheri and D.K. Molzahn, "AC Power Flow Feasibility Restoration via a State Estimation-Based Post-Processing Algorithm," to appear in Electric Power Systems Research, to be presented at 23rd Power Systems Computation Conference (PSCC), June 4-7, 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • G. Nilsson, A.D. Owen Aquino, S. Coogan, and D.K. Molzahn, "GreenEVT: Greensboro Electric Vehicle Testbed," IEEE Systems Journal, vol. 18, no. 1, pp. 600-611, March 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ] [ GitHub Repository ]

  • M. Alkhraijah, R. Harris, C. Coffrin, and D.K. Molzahn, "PowerModelsADA: A Framework for Solving Optimal Power Flow using Distributed Algorithms," IEEE Transactions on Power Systems (Letters), vol. 39, no. 1, pp. 2357-2360, January 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ] [ GitHub Repository ]

  • S. Talkington, D. Turizo, S. Grijalva, J. Fernandez, and D.K. Molzahn, "Conditions for Estimation of Sensitivities of Voltage Magnitudes to Complex Power Injections," IEEE Transactions on Power Systems, vol. 39, no. 1, pp. 478-491, January 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • P. Buason, S. Misra, and D.K. Molzahn, "Sample-Based Conservative Bias Linear Power Flow Approximations," to appear in IEEE IAS Industrial and Commercial Power System Asia (IEEE I&CPS Asia), July 9-12, 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • R. Gupta, P. Buason, and D.K. Molzahn, "Fairness-aware Photovoltaic Generation Limits for Voltage Regulation in Power Distribution Networks using Conservative Linear Approximations," 8th Texas Power and Energy Conference (TPEC), February 12-13, 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • A.D. Owen Aquino, S. Talkington, and D.K. Molzahn, "Managing Vehicle Charging during Emergencies via Conservative Distribution System Modeling," 8th Texas Power and Energy Conference (TPEC), February 12-13, 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • B. Taheri and D.K. Molzahn, "AC Power Flow Informed Parameter Learning for DC Power Flow Network Equivalents," 8th Texas Power and Energy Conference (TPEC), February 12-13, 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • R. Harris and D.K. Molzahn, "Detecting and Mitigating Data Integrity Attacks on Distributed Algorithms for Optimal Power Flow using Machine Learning," 57th Hawaii International Conference on System Sciences (HICSS), January 3-6, 2024.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Journal Papers

  • O. Kuryatnikova, B. Ghaddar, and D.K. Molzahn, "Two-Stage Robust Quadratic Optimization with Equalities and Its Application to Optimal Power Flow," SIAM Journal on Optimization, vol. 33, no. 4, pp. 2830-2857, December 2023.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • I. Aravena, D.K. Molzahn, S. Zhang, F.E. Curtis, S. Tu, A. Waechter, E. Wei, E. Wong, A. Gholami, K. Sun, X.A. Sun, S.T. Elbert, J.T. Holzer, and A. Veeramany, "Recent Developments in Security-Constrained AC Optimal Power Flow: Overview of Challenge 1 in the ARPA-E Grid Optimization Competition," Operations Research, special issue on Computational Advances in Short-Term Power System Operations, vol. 71, no. 6, pp. 1997-2014, November-December 2023.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • F.E. Curtis, D.K. Molzahn, S. Tu, A. Wächter, E. Wei, and E. Wong, "A Decomposition Algorithm for Large-Scale Security-Constrained AC Optimal Power Flow," Operations Research, special issue on Computational Advances in Short-Term Power System Operations, vol. 71, no. 6, pp. 2031-2044, November-December 2023.
    Description of Team GO-SNIP's algorithm which finished second overall in the Department of Energy's Grid Optimization Competition Challenge 1.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D. Turizo and D.K. Molzahn, "Invertibility Conditions for the Admittance Matrices of Balanced Power Systems," IEEE Transactions on Power Systems, vol. 38, no. 4, pp. 3841-3853, July 2023.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • F. Milano and D.K. Molzahn, "Forward to the EPSR Special Issue for PSCC 2022," Electric Power Systems Research, vol. 217, no. 109148, April 2023.
      [ pdf ] [ link ] [ Ref: bib txt ]

  • L.A. Roald, D. Pozo, A. Papavasiliou, D.K. Molzahn, J. Kazempour, and A. Conejo, "Power Systems Optimization under Uncertainty: A Review of Methods and Applications," Electric Power Systems Research, vol. 214, Part A, no. 108725, January 2023. Presented at 22nd Power Systems Computation Conference (PSCC), June 27 - July 1, 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • B. Taheri, D.K. Molzahn, and S. Grijalva, "Improving Distribution System Resilience by Undergrounding Lines and Deploying Mobile Generators," Electric Power Systems Research, vol. 214, Part A, no. 108804, January 2023.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • R. Harris, A. Banerjee, and D.K. Molzahn, "Synthetic Test Case for Ukraine's Power Grid," 55th North American Power Symposium (NAPS), October 15-17, 2023.
     [ abstract ] [ pdf ] [ Ref: bib txt ] [ GitHub Repository ]

  • B. Taheri and D.K. Molzahn, "Restoring AC Power Flow Feasibility for Solutions to Relaxed and Approximated Optimal Power Flow Problems," American Control Conference (ACC), May 31 - June 2, 2023.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • A.D. Owen Aquino, R. Harris, A. Kody, and D.K. Molzahn, "Comparing Machine Learning and Optimization Approaches for the N-k Interdiction Problem Considering Load Variability," 56th Hawaii International Conference on System Sciences (HICSS), January 3-6, 2023.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Journal Papers

  • A. Kody, S. Chevalier, S. Chatzivasileiadis, and D.K. Molzahn, "Modeling the AC Power Flow Equations with Optimally Compact Neural Networks: Application to Unit Commitment," Electric Power Systems Research, vol. 212, no. 108282, November 2022. Presented at 22nd Power Systems Computation Conference (PSCC), June 27 - July 1, 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • S. Zeng, A. Kody, Y. Kim, K. Kim, and D.K. Molzahn, "A Reinforcement Learning Approach to Parameter Selection for Distributed Optimization in Power Systems," Electric Power Systems Research, vol. 212, no. 108546, November 2022. Presented at 22nd Power Systems Computation Conference (PSCC), June 27 - July 1, 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • P. Buason, S. Misra, and D.K. Molzahn, "A Sample-Based Approach for Computing Conservative Linear Power Flow Approximations," Electric Power Systems Research, vol. 212, no. 108579, November 2022. Presented at 22nd Power Systems Computation Conference (PSCC), June 27 - July 1, 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M. Alkhraijah, C. Menendez, and D.K. Molzahn, "Assessing the Impacts of Nonideal Communications on Distributed Optimal Power Flow Algorithms," Electric Power Systems Research, vol. 212, no. 108297, November 2022. Presented at 22nd Power Systems Computation Conference (PSCC), June 27 - July 1, 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • N. Patari, V. Venkataramanan, A.K. Srivastava, D.K. Molzahn, N. Li, and A. Annaswamy, "Distributed Optimization in Distribution Systems: Use Cases, Limitations, and Research Needs," IEEE Transactions on Power Systems, vol. 37, no. 5, pp. 3469-3481, September 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • J. Liu, B. Cui, D.K. Molzahn, C. Chen, and X. Lu, "Optimal Power Flow for DC Networks with Robust Feasibility and Stability Guarantees," IEEE Transactions on Control of Network Systems, vol. 9, no. 2, pp. 904-916, June 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • A. Kody, A. West, and D.K. Molzahn, "Sharing the Load: Considering Fairness in De-energization Scheduling to Mitigate Wildfire Ignition Risk using Rolling Optimization," 61st IEEE Control and Decision Conference (CDC), December 6-9, 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M. Alkhraijah, R. Harris, S. Litchfield, D. Huggins, and D.K. Molzahn, "Analyzing Malicious Data Injection Attacks on Distributed Optimal Power Flow Algorithms," 54th North American Power Symposium (NAPS), October 9-11, 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • A. Kody, R. Piansky, and D.K. Molzahn, "Optimizing Transmission Infrastructure Investments to Support Line De-energization for Mitigating Wildfire Ignition Risk," IREP Symposium on Bulk Power System Dynamics and Control-XI. A 100% Renewable Energy Source Bulk Power Grid: Opportunities and Challenges, July 25-30, 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • R. Harris, M. Alkhraijah, D. Huggins, and D.K. Molzahn, "On the Impacts of Different Consistency Constraint Formulations for Distributed Optimal Power Flow," Texas Power and Energy Conference (TPEC), February 28 - March 1, 2022.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Journal Papers

  • D. Lee, K. Turitsyn, D.K. Molzahn, and L.A. Roald, "Robust AC Optimal Power Flow with Robust Convex Restriction," IEEE Transactions on Power Systems, vol. 36, no. 6, pp. 4953-4966, November 2021.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M. Alkhraijah, M. Alowaifeer, M. Alsaleh, A. Alfaris, and D.K. Molzahn, "The Effects of Social Distancing on the Temperature-Demand Relationship," Energies, vol. 14, no. 2, 2021.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M.R. Narimani, D.K. Molzahn, and M.L. Crow, "Tightening QC Relaxations of AC Optimal Power Flow Problems via Complex Per Unit Normalization," IEEE Transactions on Power Systems, vol. 36, no. 1, pp. 281-291, January 2021.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • A. Peña Ordieres, D.K. Molzahn, L.A. Roald, and A. Wächter "DC Optimal Power Flow with Joint Chance Constraints," IEEE Transactions on Power Systems, vol. 36, no. 1, pp. 147-158, January 2021.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn and C. Rehtanz, "Forward to the EPSR Special Issue for PSCC 2020," Electric Power Systems Research, vol. 190, no. 106827, January 2021.
      [ pdf ] [ link ] [ Ref: bib txt ]

  • A. Venzke, D.K. Molzahn, and S. Chatzivasileiadis, "Efficient Creation of Datasets for Data-Driven Power System Applications," Electric Power Systems Research, vol. 190, January 2021. Presented at 21st Power Systems Computation Conference (PSCC), June 29 - July 3, 2020.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ] [ presentation ]

  • B. Li, B. Cui, F. Qiu, and D.K. Molzahn, "Balancibility: Existence and Uniqueness of Power Flow Solutions under Voltage Balance Requirements," Electric Power Systems Research, vol. 190, January 2021. Presented at 21st Power Systems Computation Conference (PSCC), June 29 - July 3, 2020.
    PSCC 2020 Highlights Award, top 3% of papers at the 21st Power Systems Computation Conference.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ] [ presentation ]

  • Conference Proceedings

  • A.D. Owen Aquino, L.A. Roald, and D.K. Molzahn, "Identifying Redundant Constraints for AC OPF: The Challenges of Local Solutions, Relaxation Tightness, and Approximation Inaccuracy," 53rd North American Power Symposium (NAPS), November 14-16, 2021.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • S. Xu, R. Ma, D.K. Molzahn, H.L. Hijazi, and C. Josz, "Verifying Global Optimality of Candidate Solutions to Polynomial Optimization Problems using a Determinant Relaxation Hierarchy," 60th IEEE Conference on Decision and Control (CDC), December 13-15, 2021.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • P. Buason and D.K. Molzahn, "Analysis of Fast Decoupled Power Flow via Multiple Axis Rotations," 52nd North American Power Symposium (NAPS), April 11-13, 2021.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • A. Ivemeyer, M. Bossart, R.W. Kenyon, A. Sajadi, B.-M. Hodge, and D.K. Molzahn, "Assessing the Accuracy of Balanced Power System Models in the Presence of Voltage Unbalance," Power and Energy Conference at Illinois (PECI), April 1-2, 2021.
    Georgia Institute of Technology 2021 Roger P. Webb ECE Undergraduate Research Award
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M. Alkhraijah, M. Alowaifeer, X. Li, M.J. Till, and D.K. Molzahn, "Reactive Power Planning using Security-Constrained AC Optimal Power Flow and Sensitivity Analyses," Power and Energy Conference at Illinois (PECI), April 1-2, 2021.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • S. Tandon, S. Grijalva, and D.K. Molzahn, "Motivating the Use of Dynamic Line Ratings to Mitigate the Risk of Wild ire Ignition," Power and Energy Conference at Illinois (PECI), April 1-2, 2021.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M. Alkhraijah, M. Alowaifeer, S. Grijalva, and D.K. Molzahn, "Distributed Multi-Period DCOPF via an Auxiliary Principle Problem Algorithm," 5th IEEE Texas Power and Energy Conference (TPEC), February 2-5, 2021.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Journal Papers

  • A. Venzke, S. Chatzivasileiadis, and D.K. Molzahn, "Inexact Convex Relaxations of AC Optimal Power Flow Problems: Towards AC Feasibility," Electric Power Systems Research, vol. 187, October 2020.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D. Lee, K. Turitsyn, D.K. Molzahn, and L.A. Roald, "Feasible Path Identification in Optimal Power Flow with Sequential Convex Restriction," IEEE Transactions on Power Systems, vol. 35, no. 5, pp. 3648-3659, September 2020.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • Z.J. Zhang, P.T. Mana, D. Yan, Y. Sun, and D.K. Molzahn, "Study of Active Line Flow Constraints in DC Optimal Power Flow Problems," IEEE SoutheastCon, March 12-15, 2020.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Monographs

  • D.K. Molzahn and I.A. Hiskens, "A Survey of Relaxations and Approximations of the Power Flow Equations," Foundations and Trends in Electric Energy Systems, vol. 4, no. 1-2, pp. 1-221, February 2019.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ] [ Tutorial Slides on Power Flow Relaxations ]

  • Journal Papers

  • A. Barzegar, D.K. Molzahn, and R. Su, "A Method for Quickly Bounding the Optimal Objective Value of an OPF Problem Using a Semidefinite Relaxation and a Local Solution," Electric Power Systems Research, vol. 177, December 2019.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M. Yao, D.K. Molzahn, and J.L. Mathieu, "A Multiperiod Optimal Power Flow Approach to Improve Power System Voltage Stability Using Demand Response," IEEE Transactions on Control of Network Systems, Special Issue on Analysis, Control, and Optimization of Energy System Networks, vol. 6, no. 3, pp. 1015-1025, September 2019.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn and J. Wang, "Detection and Characterization of Intrusions to Network Parameter Data in Electric Power System Operations," IEEE Transactions on Smart Grid, vol. 10, no. 4, pp. 3919-3928, July 2019.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • K. Girigoudar, D.K. Molzahn, and L.A. Roald, "On the Relationships Among Different Voltage Unbalance Definitions," 51st North American Power Symposium (NAPS), October 13-14, 2019.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • L.A. Roald and D.K. Molzahn, "Implied Constraint Satisfaction in Power System Optimization: The Impacts of Load Variations," 57th Annual Allerton Conference on Communication, Control, and Computing, September 25-27, 2019.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • T. Mühlpfordt, D.K. Molzahn, V. Hagenmeyer, and S. Misra, "Optimal Adaptive Power Flow Linearizations: Expected Error Minimization using Polynomial Chaos Expansion," IEEE Milan PowerTech, June 23-27, 2019.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • C. Josz, D.K. Molzahn, M. Tacchi, and S. Sojoudi, "Transient Stability Analysis of Power Systems via Occupation Measures," Innovative Smart Grid Technologies (ISGT), February 17-20, 2019.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn and L.A. Roald, "Grid-Aware versus Grid-Agnostic Distribution System Control: A Method for Certifying Engineering Constraint Satisfaction," 52nd Hawaii International Conference on System Sciences (HICSS), January 8-11, 2019.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • S. Babaeinejadsarookolaee, A. Birchfield, R.D. Christie, C. Coffrin, C.L. DeMarco, R. Diao, M. Ferris, S. Fliscounakis, S. Greene, R. Huang, C. Josz, R. Korab, B.C. Lesieutre, J. Maeght, D.K. Molzahn, T.J. Overbye, P. Panciatici, B. Park, J. Snodgrass, and R.D. Zimmerman, "The Power Grid Library for Benchmarking AC Optimal Power Flow Algorithms," IEEE PES PGLib-OPF Task Force Report, August 2019.
    2020 Working Group Award for Technical Report from the IEEE Power and Energy Society (PES) Power System Operation, Planning and Economics (PSOPE) Committee.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ] [ link to PGLib-OPF datasets ]

  • Journal Papers

  • D.K. Molzahn, "Identifying and Characterizing Non-Convexities in Feasible Spaces of Optimal Power Flow Problems," IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 65, no. 5, pp. 672-676, May 2018. Presented at IEEE International Symposium on Circuits and Systems (ISCAS), special session on On-line Identification, Control, & Optimization of Electric Power Systems, May 27-30, 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • C. Josz and D.K. Molzahn, "Lasserre Hierarchy for Large Scale Polynomial Optimization in Real and Complex Variables," SIAM Journal on Optimization, vol. 28, no. 2, pp. 1017-1048, 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ] [ technical report pdf ] [ technical report link ]

  • D.K. Molzahn, "Identifying Redundant Flow Limits on Parallel Lines," IEEE Transactions on Power Systems (Letters), vol. 33, no. 3, pp. 3210-3212, 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • O. Coss, J.D. Hauenstein, H. Hoon, and D.K. Molzahn, "Locating and Counting Equilibria of the Kuramoto Model with Rank One Coupling," SIAM Journal on Applied Algebra and Geometry, vol. 2, no. 1, pp. 45-71, 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D. Wu, D.K. Molzahn, B.C. Lesieutre, and K. Dvijotham, "A Deterministic Method to Identify Multiple Local Extrema for the AC Optimal Power Flow Problem," IEEE Transactions on Power Systems, vol. 33, no. 1, pp. 654-668, January 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • M.R. Narimani, D.K. Molzahn, H. Nagarajan, and M.L. Crow, "Comparison of Various Trilinear Monomial Envelopes for Convex Relaxations of Optimal Power Flow Problems," IEEE Global Conference on Signal and Information Processing (GlobalSIP), November 26-29, 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M.R. Narimani, D.K. Molzahn, D. Wu, and M.L. Crow, "Empirical Investigation of Non-Convexities in Optimal Power Flow Problems," American Control Conference (ACC), June 27-29, 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ] [ test cases ]

  • D.K. Molzahn and L.A. Roald, "Towards an AC Optimal Power Flow Algorithm with Robust Feasibility Guarantees," 20th Power Systems Computation Conference (PSCC), June 11-15, 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • S. Misra, D.K. Molzahn, and K. Dvijotham, "Optimal Adaptive Linearizations of the AC Power Flow Equations," 20th Power Systems Computation Conference (PSCC), June 11-15, 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M.R. Narimani, D.K. Molzahn, and M.L. Crow, "Improving QC Relaxations of OPF Problems via Voltage Magnitude Difference Constraints and Envelopes for Trilinear Monomials," 20th Power Systems Computation Conference (PSCC), June 11-15, 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • J.A. Kersulis, I.A. Hiskens, C. Coffrin, and D.K. Molzahn, "Topological Graph Metrics for Detecting Grid Anomalies and Improving Algorithms," 20th Power Systems Computation Conference (PSCC), June 11-15, 2018.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

    Journal Papers

  • J. Lavaei, S.H. Low, R. Baldick, B. Zhang, D.K. Molzahn, F. Dörfler, and H. Sandberg, "Guest Editorial: Distributed Control and Efficient Optimization Methods for Smart Grid," IEEE Transactions on Smart Grid, Special issue on Distributed Control and Efficient Optimization Methods for Smart Grid, vol. 8, no. 6, pp. 2939-2940, November 2017.
      [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, F. Dörfler, H. Sandberg, S.H. Low, S. Chakrabarti, R. Baldick, and J. Lavaei, "A Survey of Distributed Optimization and Control Algorithms for Electric Power Systems," IEEE Transactions on Smart Grid, Special issue on Distributed Control and Efficient Optimization Methods for Smart Grid, vol. 8, no. 6, pp. 2941-2962, November 2017.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, "Computing the Feasible Spaces of Optimal Power Flow Problems," IEEE Transactions on Power Systems, vol. 32, no. 6, pp. 4752-4763, November 2017.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, "Incorporating Squirrel-Cage Induction Machine Models in Convex Relaxations of OPF Problems," IEEE Transactions on Power Systems (Letters), vol. 32, no. 6, pp. 4972-4974, November 2017.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • J.F. Marley, D.K. Molzahn, and I.A. Hiskens, "Solving Multiperiod OPF Problems using an AC-QP Algorithm Initialized with an SOCP Relaxation," IEEE Transactions on Power Systems, vol. 32, no. 5, pp. 3538-3548, September 2017.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, C. Josz, I.A. Hiskens, and P. Panciatici, "A Laplacian-Based Approach for Finding Near Globally Optimal Solutions to OPF Problems," IEEE Transactions on Power Systems, vol. 32, no. 1, pp. 305-315, January 2017.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • M. Yao, J.L. Mathieu, and D.K. Molzahn, "The Impact of Load Models in an Algorithm for Improving Power System Voltage Stability via Demand Response," 55th Annual Allerton Conference on Communication, Control, and Computing, October 4-6, 2017.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • L.A. Roald, D.K. Molzahn, and A.F. Tobler, "Power System Optimization with Uncertainty and AC Power Flow: Analysis of an Iterative Algorithm," IREP Symposium on Bulk Power System Dynamics and Control-X. The Power System of the Future: Global Dynamics arising from Distributed Actions, August 27 - September 1, 2017.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • M. Yao, J.L. Mathieu, and D.K. Molzahn, "Using Demand Response to Improve Power System Voltage Stability Margins," IEEE PowerTech Manchester, June 18-22, 2017.
    High-quality paper award.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

    Journal Papers

  • D.K. Molzahn and I.A. Hiskens, "Convex Relaxations of Optimal Power Flow Problems: An Illustrative Example," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 63, no. 5, pp. 650-660, May 2016.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ] [ figures ]

  • Conference Proceedings

  • K. Dvijotham and D.K. Molzahn, "Error Bounds on the DC Power Flow Approximation: A Convex Relaxation Approach," IEEE 55th Annual Conference on Decision and Control (CDC), December 12-14, 2016.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, C. Josz, and I.A. Hiskens, "Moment Relaxations of Optimal Power Flow Problems: Beyond the Convex Hull," IEEE Global Conference on Signal and Information Processing (GlobalSIP), December 7-9, 2016.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, D. Mehta, and M. Niemerg, "Toward Topologically Based Upper Bounds on the Number of Power Flow Solutions," American Control Conference (ACC), July 6-8, 2016.
    Best presentation in session award.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D. Mehta, D.K. Molzahn, and K. Turitsyn, "Recent Advances in Computational Methods for the Power Flow Equations," American Control Conference (ACC), July 6-8, 2016.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, C. Josz, I.A. Hiskens, and P. Panciatici, "Computational Analysis of Sparsity-Exploiting Moment Relaxations of the OPF Problem," 19th Power Systems Computation Conference (PSCC), June 20-24, 2016.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, I.A. Hiskens, and B.C. Lesieutre, "Calculation of Voltage Stability Margins and Certification of Power Flow Insolvability using Second-Order Cone Programming," 49th Hawaii International Conference on System Sciences (HICSS), January 5-8, 2016.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Technical Reports

  • D.K. Molzahn, M. Niemerg, D. Mehta, and J.D. Hauenstein, "Investigating the Maximum Number of Real Solutions to the Power Flow Equations: Analysis of Lossless Four-Bus Systems," March 2016.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

    Journal Papers

  • D.K. Molzahn and I.A. Hiskens, "Sparsity-Exploiting Moment-Based Relaxations of the Optimal Power Flow Problem," IEEE Transactions on Power Systems, vol. 30, no. 6, pp. 3168-3180, November 2015.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • D.K. Molzahn, C. Josz, I.A. Hiskens, and P. Panciatici, "Solution of Optimal Power Flow Problems using Moment Relaxations Augmented with Objective Function Penalization," IEEE 54th Annual Conference on Decision and Control (CDC), December 15-18, 2015.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, Z.B. Friedman, B.C. Lesieutre, C.L. DeMarco, and M.C. Ferris, "Estimation of Constraint Parameters in Optimal Power Flow Data Sets," 47th North American Power Symposium (NAPS), October 4-6, 2015.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn and I.A. Hiskens, "Mixed SDP/SOCP Moment Relaxations of the Optimal Power Flow Problem," IEEE PowerTech Eindhoven, June 29 - July 2, 2015.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, S.S. Baghsorkhi, and I.A. Hiskens, "Semidefinite Relaxations of Equivalent Optimal Power Flow Problems: An Illustrative Example," IEEE International Symposium on Circuits and Systems (ISCAS), May 24-27, 2015.
     [ abstract ] [ pdf ] [ link ] [ errata ] [ Ref: bib txt ]

    Journal Papers

  • D.K. Molzahn, B.C. Lesieutre, and C.L. DeMarco, "Approximate Representation of ZIP Loads in a Semidefinite Relaxation of the OPF Problem," IEEE Transactions on Power Systems (Letters), vol. 29, no. 4, pp. 1864-1865, July 2014.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, B.C. Lesieutre, and C.L. DeMarco, "A Sufficient Condition for Global Optimality of Solutions to the Optimal Power Flow Problem," IEEE Transactions on Power Systems (Letters), vol. 29, no. 2, pp. 978-979, March 2014.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • P. Panciatici, M.C. Campi, S. Garatti, S.H. Low, D.K. Molzahn, A.X. Sun, and L. Wehenkel, "Advanced Optimization Methods for Power Systems," 18th Power Systems Computation Conference (PSCC), August 18-22, 2014.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn and I.A. Hiskens, "Moment-Based Relaxation of the Optimal Power Flow Problem," 18th Power Systems Computation Conference (PSCC), August 18-22, 2014.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, B.C. Lesieutre, and C.L. DeMarco, "Investigation of Non-Zero Duality Gap Solutions to a Semidefinite Relaxation of the Optimal Power Flow Problem," 47th Hawaii International Conference on System Sciences (HICSS), January 6-9, 2014.
     [ abstract ] [ pdf ] [ link ] [ errata ] [ Ref: bib txt ]

  • Technical Reports

  • B.C. Lesieutre and D.K. Molzahn, "Optimization and Control of Electric Power Systems," Final Technical Report, DOE Grant #DE-SC0002319, October 17, 2014.
     [ abstract ] [ link ] [ Ref: bib txt ]

    Journal Papers

  • D.K. Molzahn, J.T. Holzer, B.C. Lesieutre, and C.L. DeMarco, "Implementation of a Large-Scale Optimal Power Flow Solver Based on Semidefinite Programming," IEEE Transactions on Power Systems, vol. 28, no. 4, pp. 3987-3998, November 2013.
     [ abstract ] [ pdf ] [ link ] [ errata ] [ Ref: bib txt ]

  • D.K. Molzahn, B.C. Lesieutre, and C.L. DeMarco, "A Sufficient Condition for Power Flow Insolvability with Applications to Voltage Stability Margins," IEEE Transactions on Power Systems, vol. 28, no. 3, pp. 2592-2601, August 2013.
     [ abstract ] [ pdf ] [ link ] [ extended version ] [ Ref: bib txt ]

  • D.K. Molzahn and B.C. Lesieutre, "Initializing Dynamic Power System Simulations Using Eigenvalue Formulations of the Induction Machine and Power Flow Models," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 60, no. 3, pp. 690-702, March 2013.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, B.C. Lesieutre, and H. Chen, "Counterexample to a Continuation-Based Algorithm for Finding All Power Flow Solutions," IEEE Transactions on Power Systems (Letters), vol. 28, no. 1, pp. 564-565, February 2013.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • A.R. Borden, D.K. Molzahn, B.C. Lesieutre, and P. Ramanathan, "Power System Structure and Confidentiality Preserving Transformation of Optimal Power Flow Problem," 51st Annual Allerton Conference on Communication, Control, and Computing, October 2-4, 2013.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • D.K. Molzahn, V. Dawar, B.C. Lesieutre, and C.L. DeMarco, "Sufficient Conditions for Power Flow Insolvability Considering Reactive Power Limited Generators with Applications to Voltage Stability Margins," IREP Symposium on Bulk Power System Dynamics and Control - IX. Optimization, Security and Control of the Emerging Power Grid, 25-30 August 2013.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Ph.D. Dissertation

  • D.K. Molzahn, "Application of Semidefinite Optimization Techniques to Problems in Electric Power Systems," Ph.D. Dissertation, University of Wisconsin-Madison Department of Electrical and Computer Engineering, August 2013.
    2014 Harold A. Peterson Best Dissertation Award, Second Place in the UW-Madison ECE Department.
     [ abstract ] [ pdf ] [ link ] [ errata ] [ Ref: bib txt ]

    Conference Proceedings

  • A.R. Borden, D.K. Molzahn, P. Ramanathan, and B.C. Lesieutre, "Confidentiality-Preserving Optimal Power Flow for Cloud Computing," 50th Annual Allerton Conference on Communication, Control, and Computing, pp. 1300-1307, October 1-5, 2012.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Technical Reports

  • B.C. Lesieutre, C.L. DeMarco, and D.K. Molzahn, "Power System Deliverability Ranking of Critical Elements to Support Select Facilities," Report to the Federal Energy Regulatory Commission, January 2012.
     [ not publicly available ]

  • B.C. Lesieutre, C.L. DeMarco, and D.K. Molzahn, "Power System Ranking of Nodal Locations," Report to the Federal Energy Regulatory Commission, January 2012.
     [ not publicly available ]

    Journal Papers

  • D.K. Molzahn and C. Singletary, "An Empirical Investigation of Speculation in the MISO Financial Transmission Rights Auction Market," The Electricity Journal, vol. 24, issue 5, pp. 57-68, June 2011.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Conference Proceedings

  • B.C. Lesieutre, D.K. Molzahn, A.R. Borden, and C.L. DeMarco, "Examining the Limits of the Application of Semidefinite Programming to Power Flow Problems," 49th Annual Allerton Conference on Communication, Control, and Computing, pp. 1492-1499, September 28-30, 2011.
     [ abstract ] [ pdf ] [ link ] [ errata ] [ Ref: bib txt ]

  • D.R. Schwarting, D.K. Molzahn, C.L. DeMarco, and B.C. Lesieutre. "Topological and Impedance Element Ranking (TIER) of the Bulk-Power System," 44th Hawaii International Conference on System Sciences (HICSS), pp. 1-10, January 4-7, 2011.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

    Conference Proceedings

  • D.K. Molzahn and B.C. Lesieutre, "An Eigenvalue Formulation for Determining Initial Conditions of Induction Machines in Dynamic Power System Simulations," IEEE International Symposium on Circuits and Systems (ISCAS), pp. 2311-2313, May 30 - June 2, 2010.
     [ abstract ] [ pdf ] [ link ] [ Ref: bib txt ]

  • Master's Thesis

  • D.K. Molzahn, "Power System Models Formulated as Eigenvalue Problems and Properties of Their Solutions," Master's Thesis, University of Wisconsin-Madison ECE Department, December 2010.
     [ abstract ][ pdf ] [ link ] [ Ref: bib txt ]

  • Technical Reports

  • D.K. Molzahn, S.P. Williams, and R. Srinivasan, "Plug-In Vehicles in Madison, WI: Consumer Preferences, Charging Stations, and Distribution System Impacts," Energy Analysis and Policy Capstone Project Report to Madison Gas and Electric, May 2010.
     [ not publicly available ]