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<h2 itemprop="name">Harsha Nagarajan</h2>
<h3 itemprop="jobTitle">Staff Scientist</h3>
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<h1 id="biography">Biography</h1>
<p>I am currently a staff scientist in the “Applied Mathematics and Plasma Physics” group at Los Alamos National Laboratory (<a href="http://www.lanl.gov" target="_blank">LANL</a>). Previously, I was a post-doctoral research associate at Center for Nonlinear Studies (<a href="http://cnls.lanl.gov" target="_blank">CNLS</a>), LANL.</p>
<p>My primary research interests include development of efficient formulations and algorithms for modeling, design and control of complex physical systems. Particularly, I utilize tools from a myriad of disciplines including, mathematical programming and optimization (convex and nonconvex), control theory and uncertainty quantification. In recent years, at LANL, I have been focussing on various interesting problems arising in large-scale energy infrastructure systems. More recently, I have been working on application of discrete optimization methods in Quantum Computing.</p>
<p>I was awarded with the “<a href="https://doi.org/10.1109/TPWRS.2020.2991621" target="_blank">Outstanding Reviewer 2019</a>” recognition from IEEE Transactions on Power Systems.</p>
<p><p><b>Open Positions</b></p>
<a href="https://lanl-ansi.github.io"> Advanced Network Science Initiative </a> at LANL is looking for motivated graduate students and postdoctoral research associates with interests in optimization, control theory, applied mathematics and energy systems. If working with talented scientists in a collaborative environment excites you, feel free to <a href="https://harshangrjn.github.io/#contact" target="_blank">contact</a> me.</p>
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<h3>Interests</h3>
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<li>Mathematical Programming</li>
<li>Global Optimization</li>
<li>Control of Dynamical systems</li>
<li>Energy Systems</li>
<li>Algorithms</li>
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<p class="course">PhD in Mechanical Engineering, 2014</p>
<p class="institution">Systems, Controls and Applied Optimization Lab, Texas A&M University</p>
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<p class="course">Master of Science, 2008</p>
<p class="institution">Texas A&M University</p>
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<p class="course">Bachelor of Technology, 2006</p>
<p class="institution">National Institute of Technology, Trichy</p>
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<h1>Publications</h1>
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<p><h3 id="2024">2024</h3>
<ul>
<li><p>Robust Partitioning and Operation for Maximal Uncertain-Load Delivery in Distribution Grids <a href="https://arxiv.org/abs/2404.03137" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> H. Moring, <strong>H. Nagarajan</strong>, K. Girigoudar, D.M. Fobes, J.L. Mathieu <br>
<span style="margin-left:1.5em"> Electric Power Systems Research <br>
<span style="margin-left:1.5em"> Presented at 23nd Power Systems Computation Conference (PSCC), Paris, France</p></li>
<li><p>Optimal Robust Network Design: Formulations and Algorithms for Maximizing Algebraic Connectivity <a href="https://arxiv.org/abs/2304.08571" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> N. Somisetty, <strong>H. Nagarajan</strong>, S. Darbha <br>
<!-- <span style="margin-left:1.5em"> IEEE Transactions on Control of Network Systems --></p></li>
<li><p>Learning to Accelerate Tightening of Convex Relaxations of the AC Optimal Power Flow Problem <a href="https://www.researchsquare.com/article/rs-4014349/v1" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> F. Cengil, <strong>H. Nagarajan</strong>, R. Bent, S. Eksioglu, B. Eksioglu <br></p></li>
<li><p>Multi-market Optimal Energy Storage Arbitrage with Capacity Blocking for Emergency Services <a href="https://arxiv.org/abs/2310.00775" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> M.U. Hashmi, S. Hardy, D. Van Hertem, <strong>H. Nagarajan</strong> <br>
<!-- <span style="margin-left:1.5em"> IEEE Transactions on Control of Network Systems --></p></li>
</ul>
<h3 id="2023">2023</h3>
<ul>
<li><p>Learning to Accelerate Partitioning Algorithms for Global Optimization of Quadratically-Constrained Quadratic Programs <a href="https://arxiv.org/abs/2301.00306" target="_blank">[arXiv]</a> <a href="https://optimization-online.org/?p=21491" target="_blank">[Optimization Online]</a> <br>
<span style="margin-left:1.5em"> R. Kannan, <strong>H. Nagarajan</strong>, D. Deka <br></p></li>
<li><p>Learning for Interval Prediction of Electricity Demand: A Cluster-based Bootstrapping Approach <a href="https://arxiv.org/abs/2309.01336" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> R. Dube, N. Gautam, A. Banerjee, <strong>H. Nagarajan</strong> <br>
<!-- <span style="margin-left:1.5em"> International Journal of Forecasting --></p></li>
<li><p>Tightening Quadratic Convex Relaxations for the AC Optimal Transmission Switching Problem <a href="https://arxiv.org/abs/2212.12097" target="_blank">[arXiv]</a> <a href="https://optimization-online.org/?p=21410" target="_blank">[Optimization Online]</a> <br>
<span style="margin-left:1.5em"> C. Guo, <strong>H. Nagarajan</strong>, M. Bodur <br>
<!-- <span style="margin-left:1.5em"> Informs Journal on Computing (under review) --></p></li>
<li><p>Impact of Ordering of Heterogeneous Vehicles on String Stability <a href="https://doi.org/10.1109/ITSC57777.2023.10422222" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> N. Somisetty, <strong>H. Nagarajan</strong>, S. Darbha <br>
<span style="margin-left:1.5em"> 26th IEEE International Conference on Intelligent Transportation Systems (ITSC), Bilbao, Spain</p></li>
<li><p>Optimization-based bound tightening using a strengthened QC-relaxation of the optimal power flow problem <a href="https://doi.org/10.1109/CDC49753.2023.10384116" target="_blank">[online]</a><a href="https://arxiv.org/abs/1809.04565" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> K. Sundar, <strong>H. Nagarajan</strong>, S. Misra, M. Lu, C. Coffrin, R. Bent <br>
<span style="margin-left:1.5em"> 62nd IEEE Conference on Decision and Control (CDC), Marina Bay Sands, Singapore</p></li>
</ul>
<h3 id="2022">2022</h3>
<ul>
<li><p>Optimal Microgrid Networking for Maximal Load Delivery in Phase Unbalanced Distribution Grids: A Declarative Modeling Approach <a href="https://doi.org/10.1109/TSG.2022.3208508" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> D. Fobes, <strong>H. Nagarajan</strong>, R. Bent <br>
<span style="margin-left:1.5em"> IEEE Transactions on Smart Grid</p></li>
<li><p>Mitigating the Impacts of Uncertain Geomagnetic Disturbances on Electric Grids: A Distributionally Robust Optimization Approach <a href="https://doi.org/10.1109/TPWRS.2022.3147104" target="_blank">[online]</a> <a href="https://arxiv.org/abs/2104.00204" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> M. Ryu, <strong>H. Nagarajan</strong>, R. Bent <br>
<span style="margin-left:1.5em"> IEEE Transactions on Power Systems</p></li>
<li><p>Learning to Accelerate Globally Optimal Solutions to the AC Optimal Power Flow Problem <a href="https://doi.org/10.1016/j.epsr.2022.108275" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> F. Cengil, <strong>H. Nagarajan</strong>, R. Bent, S. Eksioglu, B. Eksioglu <br>
<span style="margin-left:1.5em"> Electric Power Systems Research <br>
<span style="margin-left:1.5em"> Presented at 22nd Power Systems Computation Conference (PSCC), Porto, Portugal</p></li>
<li><p>Optimal Power Flow under Stochastic N-1 Disruptions in Electric Transmission Grids <a href="https://doi.org/10.1016/j.epsr.2022.108290" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> H. Yang, <strong>H. Nagarajan</strong> <br>
<span style="margin-left:1.5em"> Electric Power Systems Research <br>
<span style="margin-left:1.5em"> Presented at 22nd Power Systems Computation Conference (PSCC), Porto, Portugal</p></li>
<li><p>Exploring Non-linear Programming Formulations in QuantumCircuitOpt for Optimal Circuit Design <br>
<span style="margin-left:1.5em"> E.R. Henderson, <strong>H. Nagarajan</strong>, C. Coffrin <br>
<span style="margin-left:1.5em"> SC22: The International Conference for High Performance Computing, Networking, Storage, and Analysis (Workshop on Quantum Computing Software)</p></li>
</ul>
<h3 id="2021">2021</h3>
<ul>
<li><p>Piecewise Polyhedral Formulations for a Multilinear Term <a href="https://doi.org/10.1016/j.orl.2020.12.002" target="_blank">[online]</a> <a href="https://arxiv.org/abs/2001.00514" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> K. Sundar, <strong>H. Nagarajan</strong>, J. Linderoth, S. Wang, R. Bent <br>
<span style="margin-left:1.5em"> Operations Research Letters</p></li>
<li><p>Optimal Power Flow in Distribution Networks under N-1 Disruptions: A Multi-stage Stochastic Programming Approach <a href="http://www.optimization-online.org/DB_HTML/2020/03/7677.html" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> H. Yang, <strong>H. Nagarajan</strong> <br>
<span style="margin-left:1.5em"> Informs Journal on Computing (Accepted)</p></li>
<li><p>Efficient Topology Design Algorithms for Power Grid Stability <a href="https://doi.org/10.1109/LCSYS.2021.3088888" target="_blank">[online]</a><a href="https://arxiv.org/abs/2103.05194" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> S. Bhela, <strong>H. Nagarajan</strong>, D. Deka, V. Kekatos <br>
<span style="margin-left:1.5em"> IEEE Control Systems Letters</p></li>
<li><p>Sequence of Polyhedral Relaxations for Nonlinear Univariate Functions <a href="https://doi.org/10.1007/s11081-021-09609-z" target="_blank">[online]</a> <a href="https://arxiv.org/abs/2005.13445" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> K. Sundar, S. Sanjeevi, <strong>H. Nagarajan</strong> <br>
<span style="margin-left:1.5em"> Optimization and Engineering</p></li>
<li><p>QuantumCircuitOpt: An Open-source Framework for Provably Optimal Quantum Circuit Design <a href="https://arxiv.org/abs/2111.11674" target="_blank">[arXiv]</a> <a href="https://doi.org/10.1109/QCS54837.2021.00010" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, O. Lockwood, C. Coffrin <br>
<span style="margin-left:1.5em"> SC21: The International Conference for High Performance Computing, Networking, Storage, and Analysis (Workshop on Quantum Computing Software)</p></li>
</ul>
<h3 id="2020">2020</h3>
<ul>
<li><p>Preliminary Design Process for Networked Microgrids
<a href="https://www.researchgate.net/profile/Matthew_Reno/publication/343510122_Preliminary_Design_Process_for_Networked_Microgrids/links/5f2d6638299bf13404ad7b83/Preliminary-Design-Process-for-Networked-Microgrids.pdf" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> K.P. Schneider, <strong>H. Nagarajan</strong>, A. Pratt, M.J. Reno, B. Ollis, F. Tuffner, S.P. Nandanoori, S. Kundu, W. Du, H. Hijazi, and R. Jain.</p></li>
<li><p>Generalized Convex Hull Pricing for the AC Optimal Power Flow Problem <a href="https://doi.org/10.1109/TCNS.2020.2982572" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> M. Garcia, <strong>H. Nagarajan</strong>, R. Baldick <br>
<span style="margin-left:1.5em"> IEEE Transactions on Control of Network Systems</p></li>
<li><p>Algorithms for Mitigating the Effect of Uncertain Geomagnetic Disturbances in Electric Grids <a href="https://arxiv.org/abs/2006.02461" target="_blank">[arXiv]</a> <a href="https://doi.org/10.1016/j.epsr.2020.106790" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> M. Ryu, <strong>H. Nagarajan</strong>, R. Bent<br>
<span style="margin-left:1.5em"> Electric Power Systems Research <br>
<span style="margin-left:1.5em"> Presented at 21st Power Systems Computation Conference (PSCC).</p></li>
<li><p>Optimal Power Flow in Distribution Networks under Stochastic N − 1 Disruptions <a href="http://www.optimization-online.org/DB_HTML/2020/03/7677.html" target="_blank">[arXiv]</a> <a href="https://doi.org/10.1016/j.epsr.2020.106689" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> H. Yang, <strong>H. Nagarajan</strong> <br>
<span style="margin-left:1.5em"> Electric Power Systems Research <br>
<span style="margin-left:1.5em"> Presented at 21st Power Systems Computation Conference (PSCC).</p></li>
<li><p>Proving Global Optimality of ACOPF Solutions <a href="https://arxiv.org/abs/1910.03716" target="_blank">[arXiv]</a> <a href="https://doi.org/10.1016/j.epsr.2020.106688" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> S. Gopinath, H. Hijazi, T. Weisser, <strong>H. Nagarajan</strong>, M. Yetkin, K. Sundar, R. Bent <br>
<span style="margin-left:1.5em"> Electric Power Systems Research <br>
<span style="margin-left:1.5em"> Presented at 21st Power Systems Computation Conference (PSCC), Porto, Portugal</p></li>
</ul>
<h3 id="2019">2019</h3>
<ul>
<li><p>Distributionally Robust Optimization for a Resilient Transmission Grid During Geomagnetic Disturbances <a href="https://arxiv.org/abs/1906.04139" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> M. Lu, S.D. Eksioglu, S.J. Mason, R.Bent, <strong>H. Nagarajan</strong></p></li>
<li><p>Chance-Constrained Unit Commitment with N-1 Security and Wind Uncertainty <a href="http://doi.org/10.1109/TCNS.2019.2919210" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> K. Sundar, <strong>H. Nagarajan</strong>, L. Roald, S. Misra, R. Bent, D. Bienstock <br>
<span style="margin-left:1.5em"> IEEE Transactions on Control of Network Systems</p></li>
<li><p>Resilient Design of Large-Scale Distribution Feeders with Networked Microgrids <a href="https://doi.org/10.1016/j.epsr.2019.02.012" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> A. Barnes, <strong>H. Nagarajan</strong>, E. Yamangil, R. Bent, S. Backhaus <br>
<span style="margin-left:1.5em"> Electric Power Systems Research</p></li>
<li><p>Designing Power Grid Topologies for Minimizing Network Disturbances: An Exact MILP Formulation <a href="https://www.faculty.ece.vt.edu/kekatos/papers/ACC2019b.pdf" target="_blank">[arXiv]</a> <a href="https://ieeexplore.ieee.org/document/8814435" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> S. Bhela, D. Deka, <strong>H. Nagarajan</strong>, V. Kekatos <br>
<span style="margin-left:1.5em"> American Control Conference (ACC), Philadelphia, USA</p></li>
<li><p>Evaluating Ising Processing Units with Integer Programming <a href="https://doi.org/10.1007/978-3-030-19212-9_11" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> C. Coffrin, <strong>H. Nagarajan</strong>, R. Bent <br>
<span style="margin-left:1.5em"> International Conference on AI and OR Techniques in Constraint <br>
<span style="margin-left:1.5em"> Programming for Combinatorial Optimization Problems (CPAIOR), <br>
<span style="margin-left:1.5em">Thessaloniki, Greece</p></li>
</ul>
<h3 id="2018">2018</h3>
<ul>
<li><p>Convex Hull Formulations for Mixed-Integer Multilinear Functions
<a href="https://arxiv.org/abs/1807.11007" target="_blank">[arXiv]</a> <a href="https://doi.org/10.1063/1.5090004" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, K. Sundar, H. Hijazi, R. Bent <br>
<span style="margin-left:1.5em"> Proceedings of the XIV International Global Optimization Workshop <br>
<span style="margin-left:1.5em"> <a href="http://liacs.leidenuniv.nl/~csmoda/LeGO/" target="_blank">LeGO 18</a>, Leiden, Netherlands</p></li>
<li><p>An Adaptive, Multivariate Partitioning Algorithm for Global Optimization of Nonconvex Programs <a href="https://arxiv.org/abs/1707.02514" target="_blank">[arXiv]</a> <a href="https://doi.org/10.1007/s10898-018-00734-1" target="_blank">[online]</a> <a href="https://harshangrjn.github.io/pdf/Alpine_poster.pdf" target="_blank">[poster]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, M. Lu, S. Wang, R. Bent, K. Sundar <br>
<span style="margin-left:1.5em"> Journal of Global Optimization</p></li>
<li><p>Probabilistic N-k Failure-identification for Power Systems <a href="https://arxiv.org/abs/1704.05391" target="_blank">[arXiv]</a> <a href="http://dx.doi.org/10.1002/net.21806" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> K. Sundar, C. Coffrin, <strong>H. Nagarajan</strong>, R. Bent <br>
<span style="margin-left:1.5em"> Networks, Wiley online Library</p></li>
<li><p>Communication-Constrained Expansion Planning for Resilient Distribution Systems <a href="https://doi.org/10.1287/ijoc.2019.0899" target="_blank">[online]</a> <a href="https://arxiv.org/abs/1801.03520" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> G. Byeon, P.V. Hentenryck, R. Bent, <strong>H. Nagarajan</strong> <br>
<span style="margin-left:1.5em"> INFORMS Journal on Computing</p></li>
<li><p>Hierarchical Predictive Control Algorithms for Optimal Design and Operation of Microgrids <a href="http://arxiv.org/abs/1803.06705" target="_blank">[arXiv]</a> <a href="https://doi.org/10.23919/PSCC.2018.8442977" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> S.K.K. Hari, K. Sundar, <strong>H. Nagarajan</strong>, R. Bent, S. Backhaus <br>
<span style="margin-left:1.5em"> Power Systems Computation Conference (PSCC), Dublin, Ireland</p></li>
<li><p>Tight Piecewise Convex Relaxations for Global Optimization of Optimal Power Flow <a href="https://arxiv.org/abs/1803.04633" target="_blank">[arXiv]</a> <a href="https://doi.org/10.23919/PSCC.2018.8442456" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> M. Lu, <strong>H. Nagarajan</strong>, R. Bent, S.D. Eksioglu, S.J. Mason <br>
<span style="margin-left:1.5em"> Power Systems Computation Conference (PSCC), Dublin, Ireland</p></li>
<li><p>Juniper: An Open-Source Nonlinear Branch-and-Bound Solver in Julia <a href="https://arxiv.org/abs/1804.07332" target="_blank">[arXiv]</a> <a href="https://link.springer.com/chapter/10.1007/978-3-319-93031-2_27" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> O. Kröger, C. Coffrin, H. Hijazi, <strong>H. Nagarajan</strong> <br>
<span style="margin-left:1.5em"> International Conference on AI and OR Techniques in Constraint <br>
<span style="margin-left:1.5em"> Programming for Combinatorial Optimization Problems (CPAIOR), <br>
<span style="margin-left:1.5em">Delft, Netherlands</p></li>
<li><p>Comparison of Various Trilinear Monomial Envelopes for Convex Relaxations of Optimal Power Flow Problems
<a href="https://molzahn.github.io/pubs/narimani_molzahn_nagarajan_crow-globalsip2018.pdf" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> M.R. Narimani, D.K. Molzahn, <strong>H. Nagarajan</strong>, M.L. Crow <br>
<span style="margin-left:1.5em"> IEEE Global Conference on Signal and Information Processing <br>
<span style="margin-left:1.5em"> <a href="https://2018.ieeeglobalsip.org" target="_blank">GlobalSIP 2018</a>, Anaheim, CA, USA</p></li>
</ul>
<h3 id="2017">2017</h3>
<ul>
<li><p>Optimal Transmission Line Switching under Geomagnetic Disturbances <a href="https://arxiv.org/abs/1701.01469" target="_blank">[arXiv]</a> <a href="https://doi.org/10.1109/TPWRS.2017.2761178" target="_blank">[online]</a> <a href="http://permalink.lanl.gov/object/tr?what=info:lanl-repo/lareport/LA-UR-16-26759" target="_blank">[PPT]</a><br>
<span style="margin-left:1.5em"> M. Lu, <strong>H. Nagarajan</strong>, E. Yamangil, R. Bent, S. Backhaus, A. Barnes <br>
<span style="margin-left:1.5em"> IEEE Transactions on Power Systems</p></li>
<li><p>Resilient Off-grid Microgrids: Capacity Planning and N-1 Security <a href="http://permalink.lanl.gov/object/tr?what=info:lanl-repo/lareport/LA-UR-16-24997" target="_blank">[Poster]</a> <a href="https://doi.org/10.1109/TSG.2017.2715074" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> S.C. Madathil, E. Yamangil, <strong>H. Nagarajan</strong>, A. Barnes, <br>
<span style="margin-left:3.0em">R. Bent, S. Backhaus, S.J. Mason, S. Mashayekh, M. Stadler <br>
<span style="margin-left:1.5em"> IEEE Transactions on Smart Grid</p></li>
<li><p>Security-constrained Design of Isolated Multi-energy Microgrids <a href="https://doi.org/10.1109/TPWRS.2017.2748060" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> S. Mashayekh, M. Stadler, G. Cardoso, M. Heleno, S.C. Madathil, <br>
<span style="margin-left:3.0em"> <strong>H. Nagarajan</strong>, R. Bent, M. Mueller-Stoffels, X. Lu and J. Wang <br>
<span style="margin-left:1.5em"> IEEE Transactions on Power Systems</p></li>
<li><p>Ising Processing Units: Potential and Challenges for Discrete Optimization <a href="https://arxiv.org/abs/1707.00355" target="_blank">[arXiv]</a> <a href="http://permalink.lanl.gov/object/tr?what=info:lanl-repo/lareport/LA-UR-17-23540" target="_blank">[PPT]</a> <br>
<span style="margin-left:1.5em"> C. Coffrin, <strong>H. Nagarajan</strong>, R. Bent <br>
<span style="margin-left:1.5em"> (Under Review)</p></li>
<li><p>Adaptive Convex Relaxations for Gas Pipeline Network Optimization <a href="https://doi.org/10.23919/ACC.2017.7963683" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> F. Wu, <strong>H. Nagarajan</strong>, A. Zlotnik, R. Sioshansi, A.M. Rudkevich <br>
<span style="margin-left:1.5em"> American Control Conference (ACC), Seattle, USA</p></li>
<li><p>Optimal Configurations to Minimize Disturbance Propagation in Manufacturing Networks <a href="https://doi.org/10.23919/ACC.2017.7963281" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, P.R. Pagilla, S.Darbha, R. Bent, P.P. Khargonekar <br>
<span style="margin-left:1.5em"> American Control Conference (ACC), Seattle, USA</p></li>
<li><p>Optimal Topology Design for Disturbance Minimization in Power Grids <a href="https://arxiv.org/abs/1703.00558" target="_blank">[arXiv]</a><a href="https://doi.org/10.23919/ACC.2017.7963363" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> D. Deka, <strong>H. Nagarajan</strong>, S. Backhaus <br>
<span style="margin-left:1.5em"> American Control Conference (ACC), Seattle, USA</p></li>
<li><p>Resilient Transmission Grid Design: AC Relaxation vs. DC Approximation <a href="https://arxiv.org/abs/1703.05893" target="_blank">[arXiv]</a> <br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, R. Bent, P.V. Hentenryck, S. Backhaus, E. Yamangil <br></p></li>
</ul>
<h3 id="2016">2016</h3>
<ul>
<li><p>A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations <a href="https://arxiv.org/abs/1206.0701" target="_blank">[arXiv]</a> <a href="https://doi.org/10.4208/cicp.180615.280815a" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> K.B. Nakshatrala, <strong>H. Nagarajan</strong>, M. Shabouei <br>
<span style="margin-left:1.5em"> Communications in Computational Physics, Cambridge University Press</p></li>
<li><p>Tightening McCormick Relaxations for Mixed-Integer Nonlinear Programs via Dynamic Multivariate Partitioning <a href="harshangrjn.github.io/pdf/CP_2016.pdf" target="_blank">[arXiv]</a> <a href="https://doi.org/10.1007/978-3-319-44953-1_24" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, M. Lu, E. Yamangil, R. Bent <br>
<span style="margin-left:1.5em"> International Conference on Principles and Practice of <br>
<span style="margin-left:1.5em"> Constraint Programming, Toulouse, France</p></li>
<li><p>Optimal Resilient Transmission Grid Design <a href="https://doi.org/10.1109/PSCC.2016.7540988" target="_blank">[online]</a> <br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, E. Yamangil, R. Bent, S. Backhaus, P.V. Hentenryck <br>
<span style="margin-left:1.5em"> Power Systems Computation Conference (PSCC), Genoa, Italy</p></li>
<li><p>Unit Commitment with N-1 Security and Wind Uncertainty <a href="https://arxiv.org/abs/1602.00079" target="_blank">[arXiv]</a> <a href="https://doi.org/10.1109/PSCC.2016.7540910" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> K. Sundar, <strong>H. Nagarajan</strong>, M. Lubin, L. Roald, S. Misra, R. Bent, D. Bienstock <br>
<span style="margin-left:1.5em"> Power Systems Computation Conference (PSCC), Genoa, Italy</p></li>
</ul>
<h3 id="2015">2015</h3>
<ul>
<li><p>Synthesizing Robust Communication Networks for Unmanned Aerial Vehicles With Resource Constraints <a href="https:doi.org/10.1115/1.4028955" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, S. Rathinam, S. Darbha <br>
<span style="margin-left:1.5em"> Journal of Dynamic Systems, Measurement, and Control</p></li>
<li><p>On Maximizing Algebraic Connectivity of Networks for Various Engineering Applications <a href="http://dx.doi.org/10.1109/ECC.2015.7330770" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, S. Rathinam, S. Darbha <br>
<span style="margin-left:1.5em"> European Control Conference (ECC), Linz, Austria</p></li>
</ul>
<h3 id="2014-and-earlier">2014 and earlier</h3>
<ul>
<li><p>Synthesizing Robust Networks for Engineering Applications with Resource Constraints <a href="http://hdl.handle.net/1969.1/152757" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong> <br>
<span style="margin-left:1.5em"> PhD Dissertation, Texas A&M University</p></li>
<li><p>Heuristics for Synthesizing Robust Networks with a Diameter Constraint <a href="http://dx.doi.org/10.1155/2014/326963" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, P. Wei, S. Rathinam, D.Sun <br>
<span style="margin-left:1.5em"> Mathematical Problems in Engineering, Hindawi</p></li>
<li><p>Algorithms for Finding Diameter-Constrained Graphs with Maximum Algebraic Connectivity <a href="http://dx.doi.org/10.1007/978-1-4614-3906-6_6" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, S. Rathinam, S. Darbha, K.R. Rajagopal <br>
<span style="margin-left:1.5em"> Dynamics of Information Systems: Mathematical Foundations</p></li>
<li><p>Algorithms for Synthesizing Mechanical Systems with Maximal Natural Frequencies <a href="https://doi.org/10.1016/j.nonrwa.2012.01.010" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, S. Rathinam, S. Darbha, K.R. Rajagopal <br>
<span style="margin-left:1.5em"> Nonlinear Analysis: Real World Applications, Elsevier</p></li>
<li><p>Enforcing the Non-negativity Constraint and Maximum Principles for Diffusion with Decay on General Computational Grids <a href="https://arxiv.org/abs/1003.5257" target="_blank">[arXiv]</a> <a href="https://doi.org/10.1002/fld.2389" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, K.B. Nakshatrala <br>
<span style="margin-left:1.5em"> International Journal for Numerical Methods in Fluids</p></li>
<li><p>Synthesizing Robust Communication Networks for UAVs <a href="http://dx.doi.org/10.1109/ACC.2012.6315537" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, S. Rathinam, S. Darbha, K.R. Rajagopal <br>
<span style="margin-left:1.5em"> American Control Conference (ACC), Montréal, Canada</p></li>
<li><p>Air Transportation Network Robustness Optimization under Limited Legs Itinerary Constraint <a href="http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.713.6140&rep=rep1&type=pdf" target="_blank">[online]</a><br>
<span style="margin-left:1.5em"> <strong>H. Nagarajan</strong>, P. Wei, S. Rathinam, D.Sun <br>
<span style="margin-left:1.5em"> International Conference on Research in Air Transportation (ICRAT), <br>
<span style="margin-left:1.5em">Berkeley, CA, USA</p></li>
</ul>
</p>
</div>
</div>
</div>
</section>
<section id="posts" class="home-section">
<div class="container">
<div class="row">
<div class="col-xs-12 col-md-4 section-heading">
<h1>Collaborations</h1>
</div>
<div class="col-xs-12 col-md-8">
<p><p>In the challenging world of Science and Engineering with increasingly complex problems,
collaborative research is the key to success. I have been fortunate to have
collaborated with excellent mentors and researchers over the years.
Below is the list:</p>
<table>
<thead>
<tr>
<th>Name</th>
<th align="left">Institution</th>
<th align="left">Topic</th>
</tr>
</thead>
<tbody>
<tr>
<td><a href="https://engineering.tamu.edu/mechanical/people/darbha-swaroop.html" target="_blank">Swaroop Darbha</a></td>
<td align="left"><a href="https://www.tamu.edu" target="_blank">TAMU</a></td>
<td align="left">Synthesis of Robust <a href="https://en.wikipedia.org/wiki/Unmanned_aerial_vehicle" target="_blank">UAV</a> networks (thesis chair), Control Theory</td>
</tr>
<tr>
<td><a href="https://engineering.tamu.edu/mechanical/people/rathinam-sivakumar.html" target="_blank">Sivakumar Rathinam</a></td>
<td align="left"><a href="https://www.tamu.edu" target="_blank">TAMU</a></td>
<td align="left">Synthesis of Robust <a href="https://en.wikipedia.org/wiki/Unmanned_aerial_vehicle" target="_blank">UAV</a> networks (thesis co-chair), Approximation Algorithms</td>
</tr>
<tr>
<td><a href="https://engineering.tamu.edu/mechanical/people/rajagopal-kumbakonam.html" target="_blank">K.R. Rajagopal</a></td>
<td align="left"><a href="https://www.tamu.edu" target="_blank">TAMU</a></td>
<td align="left">Algebraic Connectivity in Mechanical and Biological Systems</td>
</tr>
<tr>
<td><a href="http://www.cive.uh.edu/faculty/nakshatrala" target="_blank">K.B. Nakshatrala</a></td>
<td align="left"><a href="https://www.uh.edu" target="_blank">University of Houston</a></td>
<td align="left">Discrete Maximum-Minimum Principles for PDEs</td>
</tr>
<tr>
<td><a href="http://public.lanl.gov/rbent/" target="_blank">Russell Bent</a></td>
<td align="left"><a href="https://www.lanl.gov" target="_blank">LANL</a></td>
<td align="left">Resilient Energy Infrastructure Systems</td>
</tr>
<tr>
<td><a href="https://scholar.google.com/citations?user=j6kWzSEAAAAJ&hl=en" target="_blank">Scott Backhaus</a></td>
<td align="left"><a href="https://www.lanl.gov" target="_blank">LANL</a></td>
<td align="left">Controls and Operation of Networked Microgrids</td>
</tr>
<tr>
<td><a href="http://pwp.gatech.edu/pascal-van-hentenryck/" target="_blank">Pascal Van Hentenryck</a></td>
<td align="left"><a href="https://www.gatech.edu/" target="_blank">Georgia Tech</a></td>
<td align="left">Communication-constrained Power System Resilience</td>
</tr>
<tr>
<td><a href="http://www.columbia.edu/~dano/" target="_blank">Daniel Bienstock</a></td>
<td align="left"><a href="https://www.columbia.edu" target="_blank">Columbia University</a></td>
<td align="left">Power Systems Operation with Wind Uncertainty</td>
</tr>
<tr>
<td><a href="http://faculty.sites.uci.edu/khargonekar/" target="_blank">Pramod Khargonekar</a></td>
<td align="left"><a href="https://www.uci.edu" target="_blank">UC Irvine</a></td>
<td align="left">Disturbance Minimization in Linear Dynamical Systems Network</td>
</tr>
<tr>
<td><a href="https://www.linkedin.com/in/stadlermichael/" target="_blank">Michael Stadler</a></td>
<td align="left"><a href="https://building-microgrid.lbl.gov" target="_blank">LBNL</a>, <a href="https://www.bioenergy2020.eu" target="_blank">BioEnergy2020+</a></td>
<td align="left">Design and Operation of Microgrids</td>
</tr>
</tbody>
</table>
<h2 id="students-and-postdocs"><strong>Students and Postdocs</strong></h2>
<p>Below is the list of talented students and postdocs with whom I have really enjoyed working with:</p>
<table>
<thead>
<tr>
<th>Name</th>
<th align="left">Institution</th>
<th align="left">Duration</th>
<th align="left">Topic</th>
</tr>
</thead>
<tbody>
<tr>
<td><a href="https://sites.google.com/view/haoxiangyang" target="_blank">Haoxiang Yang</a></td>
<td align="left"><a href="https://www.lanl.gov" target="_blank">LANL (Postdoc)</a></td>
<td align="left">2019 - Present</td>
<td align="left">Stochastic Disruptions in Power Networks</td>
</tr>
<tr>
<td><a href="https://kaarthiksundar.github.io" target="_blank">Kaarthik Sundar</a></td>
<td align="left"><a href="https://www.lanl.gov" target="_blank">LANL (Postdoc)</a></td>
<td align="left">2016 - 2018</td>
<td align="left">Tight Formulations for Piecewise Convex Relaxations</td>
</tr>
<tr>
<td><a href="https://scholar.google.com/citations?user=X3nyaDsAAAAJ&hl=en" target="_blank">Mowen Lu</a></td>
<td align="left"><a href="https://www.clemson.edu" target="_blank">Clemson</a></td>
<td align="left">2016 - Present</td>
<td align="left">Global Optimization of Optimal Power Flow, Grid Design for Geomagnetic Disturbances (<a href="http://newsstand.clemson.edu/clemson-grad-students-and-postdoc-take-3-of-6-conference-awards/" target="_blank">DTRA best poster award</a>) - with <a href="http://public.lanl.gov/rbent/" target="_blank">Russell Bent</a></td>
</tr>
<tr>
<td><a href="http://sreenathcm.com" target="_blank">S.Chalil Madathil</a></td>
<td align="left"><a href="https://www.clemson.edu" target="_blank">Clemson</a></td>
<td align="left">2016 - 2018</td>
<td align="left">Off-grid Microgrid Design and Operation - <a href="http://int.lanl.gov/news/news_stories/2016/August/08.04-distinguished-students-mentors-copyblock.shtml?source=LANLToday&date=8_5_16" target="_blank">LANL/UNM best poster award</a> (with <a href="http://public.lanl.gov/rbent/" target="_blank">Russell Bent</a> )</td>
</tr>
<tr>
<td><a href="https://github.com/jac0320" target="_blank">Site Wang</a></td>
<td align="left"><a href="https://www.clemson.edu" target="_blank">Clemson</a></td>
<td align="left">2016 - Present</td>
<td align="left"><a href="https://harshangrjn.github.io/#software" target="_blank">POD.jl</a> - An Open-source Solver for Global Optimization of MINLPs in <a href="https://julialang.org" target="_blank">Julia</a> (with <a href="http://public.lanl.gov/rbent/" target="_blank">Russell Bent</a> )</td>
</tr>
<tr>
<td><a href="https://scholar.google.com/citations?user=uC6TGvEAAAAJ&hl=en" target="_blank">Sai Krishna</a></td>
<td align="left"><a href="https://www.tamu.edu" target="_blank">TAMU</a></td>
<td align="left">2017 - 2018</td>
<td align="left">Hierarchical Model Predictive Control Algorithms for Microgrid Design and Operation (with <a href="https://kaarthiksundar.github.io" target="_blank">Kaarthik Sundar</a> )</td>
</tr>
<tr>
<td><a href="https://scholar.google.com/citations?user=Roc9r90AAAAJ&hl=en" target="_blank">Fei Wu</a></td>
<td align="left"><a href="https://www.osu.edu" target="_blank">Ohio State</a></td>
<td align="left">2016</td>
<td align="left">Gas Pipeline Network Optimization (with <a href="https://azlotnik.github.io" target="_blank">Anatoly Zlotnik</a> )</td>
</tr>
<tr>
<td><a href="http://sidbhela.com" target="_blank">Sid Bhela</a></td>
<td align="left"><a href="https://ece.vt.edu" target="_blank">Virginia Tech</a></td>
<td align="left">2018</td>
<td align="left">Minimizing induced disturbances in power grids (with <a href="https://scholar.google.com/citations?user=gv6Jmj0AAAAJ&hl=en" target="_blank">Deep Deka</a> )</td>
</tr>
<tr>
<td><a href="https://sites.google.com/view/minseokryu" target="_blank">Minseok Ryu</a></td>
<td align="left"><a href="https://umich.edu" target="_blank">U. of Michigan</a></td>
<td align="left">2019</td>
<td align="left">Distributionally Robust Optimization in Power Grids with GMDs</td>
</tr>
</tbody>
</table>
</p>
</div>
</div>
</div>
</section>
<section id="software" class="home-section">
<div class="container">
<div class="row">
<div class="col-xs-12 col-md-4 section-heading">
<h1>Software</h1>
</div>
<div class="col-xs-12 col-md-8">
<ul>
<li><a href="https://github.com/lanl-ansi/Alpine.jl" target="_blank"><strong>Alpine</strong></a>: A <a href="https://julialang.org" target="_blank">Julia</a>/<a href="https://github.com/juliaopt/jump.jl" target="_blank">JuMP</a>-based novel global optimization solver for non-convex MINLPs.
<ul>
<li>Technical papers underlying Alpine: <a href="https://doi.org/10.1007/s10898-018-00734-1" target="_blank">Paper 1</a>, <a href="https://doi.org/10.1007/978-3-319-44953-1_24" target="_blank">Paper 2</a>, <a href="https://doi.org/10.1016/j.orl.2020.12.002" target="_blank">Paper 3</a>, <a href="https://harshangrjn.github.io/pdf/Alpine_poster.pdf" target="_blank">Poster</a></li>
<li>Presentation on Alpine at the <a href="http://www.juliaopt.org/meetings/bordeaux2018/" target="_blank">2nd Annual JuMP-dev Workshop</a>, held at the Institut de Mathématiques de Bordeaux, FR, June 2018.
<div style="position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden;">
<iframe src="//www.youtube.com/embed/mwkhiEIS5JA" style="position: absolute; top: 0; left: 0; width: 100%; height: 100%; border:0;" allowfullscreen title="YouTube Video"></iframe>
</div>
</li>
</ul></li>
</ul>
<!---
* [MINLPLibJuMP.jl](https://github.com/lanl-ansi/MINLPLibJuMP.jl): If you are a [Julia](https://julialang.org)/[JuMP](https://github.com/juliaopt/jump.jl) user and looking to benchmark your algorithm on hundreds of standard MINLPs without worrying about instances being in GAMS/AMPL format, then MINLPLibJuMP.jl will be very useful.
-->
<ul>
<li><p><a href="https://github.com/harshangrjn/QuantumCircuitOpt.jl" target="_blank"><strong>QuantumCircuitOpt</strong></a>: A <a href="https://julialang.org" target="_blank">Julia</a>/<a href="https://github.com/juliaopt/jump.jl" target="_blank">JuMP</a>-based package which implements discrete optimization-based methods for provably optimal synthesis of the architecture for Quantum circuits.</p>
<ul>
<li>Technical paper underlying QCOpt: <a href="https://arxiv.org/abs/2111.11674" target="_blank">Paper 1</a></li>
<li>Presentation at the <a href="https://pretalx.com/juliacon-2022/talk/KJTGC3/" target="_blank">JuliaCon 2022</a>, July 2022.
<div style="position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden;">
<iframe src="//www.youtube.com/embed/OeONXwD4JJY" style="position: absolute; top: 0; left: 0; width: 100%; height: 100%; border:0;" allowfullscreen title="YouTube Video"></iframe>
</div>
</li>
<li>Presentation at the <a href="https://sc21.supercomputing.org/session/?sess=sess345" target="_blank">International Conference on Super Computing (SC21) for the Workshop on Quantum Computing Software</a>, November 2021.
<div style="position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden;">
<iframe src="//www.youtube.com/embed/sf1HJW5Vmio" style="position: absolute; top: 0; left: 0; width: 100%; height: 100%; border:0;" allowfullscreen title="YouTube Video"></iframe>
</div>
</li>
<li>Presentation at the <a href="https://sc22.supercomputing.org/session/?sess=sess423" target="_blank">International Conference on Super Computing (SC22) for the Workshop on Quantum Computing Software</a>, November 2022. <a href="https://vimeo.com/771366943/01810daa4e" target="_blank">Link</a></li>
</ul></li>
<li><p><a href="https://github.com/harshangrjn/LaplacianOpt.jl" target="_blank"><strong>LaplacianOpt</strong></a>: A <a href="https://julialang.org" target="_blank">Julia</a>/<a href="https://github.com/juliaopt/jump.jl" target="_blank">JuMP</a>-based package which implements polyhedral relaxation-based algorithms for optimization of weighted graph Laplacians.</p></li>
<li><p><a href="https://github.com/lanl-ansi/Juniper.jl" target="_blank"><strong>Juniper</strong></a>: A <a href="https://julialang.org" target="_blank">Julia</a>/<a href="https://github.com/juliaopt/jump.jl" target="_blank">JuMP</a>-based package which implements various nonlinear branch-and-bound algorithms to solve non-convex MINLPs to local optimality.</p>
<ul>
<li>Technical paper underlying Juniper: <a href="https://doi.org/10.1007/978-3-319-93031-2_27" target="_blank">Paper 1</a></li>
</ul></li>
</ul>
</div>
</div>
</div>
</section>
<section id="media" class="home-section">
<div class="container">