Preprints
1. Topology-cognizant Optimal Power Flow in Multi-terminal DC Grids Tuncay Altun, Ramtin Madani, and Ali Davoudi
2. Stability-constrained Optimal Power Flow for AC Microgrids with Convex Relaxation Deepak Pullaguram, Ramtin Madani, and Ali Davoudi
3. Relaxed Optimal Power Flow in AC/DC Microgrids Deepak Pullaguram, Tuncay Altun, Ramtin Madani, and Ali Davoudi
4. Optimal Reconfiguration of DC Networks Tuncay Altun, Ramtin Madani, Ajay Yadav, Adnan Nasir, and Ali Davoudi
5. Joint Observation of State and Topology of DC Networks Tuncay Altun, Ramtin Madani, and Ali Davoudi
6. Penalized Semidefinite Programming for Quadratically-Constrained Quadratic Optimization Ramtin Madani, Mohsen Kheirandishfard, Javad Lavaei, and Alper Atamtürk
7. A Scalable Semidefinite Relaxation Approach to Grid Scheduling Ramtin Madani, Alper Atamtürk, and Ali Davoudi
8. Rank-2 Solution for Semidefinite Relaxation of Arbitrary Polynomial Optimization Problems Ramtin Madani, Ghazal Fazelnia, and Javad Lavaei
Journal Papers
1. Macromodeling of Electric Machines from Ab Initio Models, IEEE Transactions on Energy Conversion, 2020, Ajay Yadav, Tuncay Altun, Ramtin Madani, and Ali Davoudi
2. A Survey on Conic Relaxations of Optimal Power Flow Problem, European Journal of Operational Research, 2020, Fariba Zohrizadeh, Cedric Josz, Ming Jin, Ramtin Madani, Javad Lavaei, and Somayeh Sojoudi
3. Convexification of Power Flow Equations for Power Systems in Presence of Noisy Measurements, IEEE Transactions on Automatic Control, 2018, Ramtin Madani, Javad Lavaei, and Ross Baldick
4. A Low-Complexity Parallelizable Numerical Algorithm for Sparse Semidefinite Programming, IEEE Transactions on Control of Network Systems, 2017, Ramtin Madani, Abdulrahman Kalbat, and Javad Lavaei
5. Finding Low-rank Solutions of Sparse Linear Matrix Inequalities using Convex Optimization, SIAM Journal on Optimization, 2017, Ramtin Madani, Somayeh Sojoudi, Ghazal Fazelnia, and Javad Lavaei
6. Conic Relaxations for Power System State Estimation with Line Measurements, IEEE Transactions on Control of Network Systems, 2017, Yu Zhang, Ramtin Madani, and Javad Lavaei
7. Constraint Screening for Security Analysis of Power Networks, IEEE Transactions on Power Systems, 2017, Ramtin Madani, Javad Lavaei, and Ross Baldick
8. Convex Relaxation for Optimal Distributed Control Problem, IEEE Transactions on Automatic Control, 2017, Ghazal Fazelnia, Ramtin Madani, Abdulrahman Kalbat, and Javad Lavaei
9. Promises of Conic Relaxation for Contingency-Constrained Optimal Power Flow Problem, IEEE Transactions on Power Systems, 2016, Ramtin Madani, Morteza Ashraphijuo, and Javad Lavaei
10. Convex Relaxation for Optimal Power Flow Problem: Mesh Networks, IEEE Transactions on Power Systems, 2015, Ramtin Madani, Somayeh Sojoudi, and Javad Lavaei
11. Optimized Compact-support Interpolation Kernels, IEEE Transactions on Signal Processing, 2012, Ramtin Madani, Ali Ayremlou, Arash Amini, and Farokh Marvasti
Conference Papers
1. Non-smooth Optimization over Stiefel Manifolds with Applications to Dimensionality Reduction and Graph Clustering, Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence, 2019, Fariba Zohrizadeh, Mohsen Kheirandishfard, Farhad Kamangar, and Ramtin Madani
2. Penalized Parabolic Relaxation for Optimal Power Flow Problem, 57th IEEE Conference on Decision and Control, 2018, Fariba Zohrizadeh, Mohsen Kheirandishfard, Edward Quarm Jnr., and Ramtin Madani
3. Sequential Relaxation of Unit Commitment with AC Transmission Constraints, 57th IEEE Conference on Decision and Control, 2018, Fariba Zohrizadeh, Mohsen Kheirandishfard, Adnan Nasir, and Ramtin Madani
4. Convex Relaxation of Bilinear Matrix Inequalities – Part I: Theoretical Results, 57th IEEE Conference on Decision and Control, 2018, Mohsen Kheirandishfard, Fariba Zohrizadeh, and Ramtin Madani
5. Convex Relaxation of Bilinear Matrix Inequalities – Part II: Applications to Optimal Control Synthesis, 57th IEEE Conference on Decision and Control, 2018, Mohsen Kheirandishfard, Fariba Zohrizadeh, Muhammad Adil, and Ramtin Madani
6. Conic Optimization for Robust Quadratic Regression: Deterministic Bounds and Statistical Analysis, 57th IEEE Conference on Decision and Control, 2018, Igor Molybog, Ramtin Madani, and Javad Lavaei
7. Power System State Estimation and Bad Data Detection by Means of Conic Relaxation, 50th Hawaii International Conference on System Sciences (HICSS-50), 2017, Ramtin Madani, Javad Lavaei, Ross Baldick, and Alper Atamtürk
8. Power System State Estimation with a Limited Number of Measurements, 55th IEEE Conference on Decision and Control, 2016, Ramtin Madani, Morteza Ashraphijuo, Javad Lavaei, and Ross Baldick
9. Power System State Estimation with Line Measurements, 55th IEEE Conference on Decision and Control, 2016, Yu Zhang, Ramtin Madani, and Javad Lavaei
10. Characterization of Rank-Constrained Feasibility Problems via a Finite Number of Convex Programs, 55th IEEE Conference on Decision and Control, 2016, Morteza Ashraphijuo, Ramtin Madani, and Javad Lavaei
11. ADMM for Sparse Semidefinite Programming with Applications to Optimal Power Flow Problem, 54th IEEE Conference on Decision and Control, 2015, Ramtin Madani, Abdulrahman Kalbat, and Javad Lavaei
12. Convexification of Power Flow Problem over Arbitrary Networks, 54th IEEE Conference on Decision and Control, 2015, Ramtin Madani, Javad Lavaei, and Ross Baldick
13. Inverse Function Theorem for Polynomial Equations using Semidefinite Programming, 54th IEEE Conference on Decision and Control, 2015, Morteza Ashraphijuo, Ramtin Madani, and Javad Lavaei
14. Promises of Conic Relaxation for Contingency-Constrained Optimal Power Flow Problem, 52nd Annual Allerton Conference on Communication, Control, and Computing (invited), 2014, Ramtin Madani, Morteza Ashraphijuo, and Javad Lavaei
15. Efficient Convex Relaxation for Stochastic Optimal Distributed Control Problem, 52nd Annual Allerton Conference on Communication, Control, and Computing, 2014, Abdulrahman Kalbat, Ramtin Madani, Ghazal Fazelnia, and Javad Lavaei
16. Low-Rank Solutions of Matrix Inequalities With Applications to Polynomial Optimization and Matrix Completion Problems, 53rd IEEE Conference on Decision and Control, 2014, Ramtin Madani, Ghazal Fazelnia, Somayeh Sojoudi, and Javad Lavaei
17. Graph-Theoretic Algorithms for Polynomial Optimization Problems, 53rd IEEE Conference on Decision and Control (Tutorial paper), 2014, Somayeh Sojoudi, Ramtin Madani, Ghazal Fazelnia, and Javad Lavaei
18. Convex Relaxation for Optimal Distributed Control Problem, 53rd IEEE Conference on Decision and Control, 2014, Ghazal Fazelnia, Ramtin Madani, and Javad Lavaei
19. Convex Relaxation for Optimal Power Flow Problem: Mesh Networks, IEEE Asilomar Conference on Signals, Systems, and Computers, 2013, Ramtin Madani, Somayeh Sojoudi, and Javad Lavaei
20. Low-Rank Solution of Convex Relaxation for Optimal Power Flow Problem, IEEE SmartGridComm, 2013, Somayeh Sojoudi, Ramtin Madani, and Javad Lavaei
21. Image Segmentation with Background Correction Using a Multiplicative Smoothing-Spline Model, 9th IEEE International Symposium on Biomedical Imaging (ISBI), pp. 186-189, 2012, Ramtin Madani, Aurelien Bourquard, and Michael Unser
22. A proposed Optimized Spline Interpolation, Sampling Theory and Applications (SampTA), 2011, Ramtin Madani, Ali Ayremlou, Arash Amini, and Farokh Marvast
Abstracts
- ‘‘A Convex Model For Joint Topology Identification and State Estimation of Power Networks,’’ INFORMS Annual Meeting, 2019
Ramtin Madani, Tuncay Altun, and Ali Davoudi - ‘‘Low-complexity and Massively Parallelizable Convex Relaxations,’’ INFORMS Annual Meeting, 2019
Ramtin Madani and Muhammad Adil - ‘‘Promises of Convex Optimization for Training Neural Network Models,’’ JPL Data Science Workshop, 2019
Shahrouz Alimo and Ramtin Madani - ‘‘A Scalable Computational Method for Security-constrained Unit Commitment with Energy Storage,’’ INFORMS Annual Meeting, 2018
Edward Quarm Jnr., Fariba Zohrizadeh, and Ramtin Madani - ‘‘Convex Relaxation of Bilinear Matrix Inequalities with Applications to Optimal Control Synthesis,’’ INFORMS Annual Meeting, 2018
Mohsen Kheirandishfard, Fariba Zohrizadeh, Muhammad Adil, and Ramtin Madani - ‘‘Sequential Convex Relaxation for Optimal Power Flow and Unit Commitment Problems,’’ INFORMS Annual Meeting, 2018
Fariba Zohrizadeh, Mohsen Kheirandishfard, Adnan Nasir, Edward Quarm Jnr., and Ramtin Madani - ‘‘Conic Optimization for Robust State Estimation: Deterministic Bounds and Statistical Analysis,’’ INFORMS Annual Meeting, 2018
Igor Molybog, Ramtin Madani, and Javad Lavaei - ‘‘Promises of Convex Optimization for Training Polynomial Neural Networks,’’ NASA Goddard AI Workshop, 2018
Mohsen Kheirandishfard, Fariba Zohrizadeh, Shahrouz Alimohammadi, Ramtin Madani, and Farhad Kamangar - ‘‘Methods for Control and Optimization of Power Systems,’’ IEEE MetroCon Conference, 2018
Ramtin Madani - ‘‘A Scalable Semidefinite Relaxation Approach to Grid Scheduling,’’ Technical Conference to Increase Real-time and Day-ahead Market Efficiency and Enhancing Resilience Through Improved Software, 2017
Ramtin Madani, Ali Davoudi, and Alper Atamtürk - ‘‘Convexification of the Power System State Estimation Problem,’’ INFORMS Annual Meeting, 2016
Yu Zhang, Ramtin Madani, and Javad Lavaei - ‘‘Power System State Estimation in the Presence of Bad Data,’’ INFORMS Annual Meeting, 2016
Ramtin Madani, Javad Lavaei, and Ross Baldick - ‘‘Power System State Estimation with a Limited Number of Measurements,’’ INFORMS Annual Meeting, 2016
Ramtin Madani, Javad Lavaei, and Ross Baldick - ‘‘Convexification of Power Flow Equations for Power Systems in Presence of Noisy Measurements and Bad Data,’’ Modeling and Optimization: Theory and Applications (MOPTA), 2016
Ramtin Madani, Javad Lavaei, and Ross Baldick - ‘‘Penalized Semidefinite Programming Relaxation for Polynominal Optimization Problems,’’ 5th International Conference on Continuous Optimization (ICCOPT), 2016
Ramtin Madani, Morteza Ashraphijuo, and Javad Lavaei - ‘‘Power System State Estimation with a Limited Number of Measurements,’’ 5th International Conference on Continuous Optimization (ICCOPT), 2016
Javad Lavaei, Ramtin Madani, and Yu Zhang - ‘‘Low-rank Solutions of Sparse Linear Matrix Inequalities,’’ INFORMS International Meeting, 2016
Ramtin Madani, Ghazal Fazelnia, Somayeh Sojoudi, and Javad Lavaei - ‘‘On Minimal Characterization Of Feasible Sets Of Security-constrained Unit-commitment Problems,’’ INFORMS International Meeting, 2016
Ramtin Madani, Javad Lavaei, and Ross Baldick - ‘‘Penalized Semidefinite Programming Relaxation for Polynominal Optimization Problems,’’ INFORMS International Meeting, 2016
Morteza Ashraphijuo, Ramtin Madani, and Javad Lavaei - ‘‘Power System State Estimation with a Limited Number of Measurements,’’ Technical Conference to Increase Real-time and Day-ahead Market Efficiency and Enhancing Resilience Through Improved Software, 2016
Javad Lavaei, Ross Baldick, Ramtin Madani, and Morteza Ashraphijuo - ‘‘Convexification of Power Flow Problem over Arbitrary Networks,’’ INFORMS Optimization Society Conference, 2016
Ramtin Madani, Javad Lavaei, and Ross Baldick - ‘‘A Fast Distributed Algorithm for Power Optimization Problems,’’ INFORMS Annual Meeting, 2015
Ramtin Madani, Abdulrahman Kalbat, and Javad Lavaei - ‘‘Convexification of Power Flow Problem over Arbitrary Networks,’’ INFORMS Annual Meeting, 2015
Javad Lavaei, Ross Baldick, and Ramtin Madani - ‘‘Graph-theoretic Convexification of Power Optimization Problems,’’ INFORMS Annual Meeting, 2015
Javad Lavaei and Ramtin Madani - ‘‘A Fast Distributed Algorithm for Sparse Semidefinite Programs,’’ Modeling and Optimization: Theory and Applications (MOPTA), 2015
Javad Lavaei, Abdulrahman Kalbat, and Ramtin Madani - ‘‘Near-global Solutions of Nonlinear Power Optimization Problems: Theory, Numerical Algorithm, and Case Studies,’’ Technical Conference to Increase Real-time and Day-ahead Market Efficiency and Enhancing Resilience Through Improved Software, 2015
Javad Lavaei, Ramtin Madani, and Abdulrahman Kalbat - ‘‘Convexification of Optimal Power Flow Problem,’’ 22nd International Symposium on Mathematical Programming (ISMP), 2015
Ramtin Madani, Morteza Ashraphijuo, Abdulrahman Kalbat, and Javad Lavaei - ‘‘Graph-theoretic Convexification of Polynomial Optimization Problems: Theory and Applications,’’ 22nd International Symposium on Mathematical Programming (ISMP), 2015
Javad Lavaei, Morteza Ashraphijuo, Abdulrahman Kalbat - ‘‘A Graph-theoretic Computational Method for Emerging Power Optimization Problems,’’ INFORMS Annual Meeting, 2014
Ramtin Madani, Ghazal Fazelnia, Somayeh Sojoudi, and Javad Lavaei - ‘‘Convex Relaxation for Optimal Power Flow Problem: Mesh Networks,’’ INFORMS Annual Meeting, 2014
Javad Lavaei, Ramtin Madani, and Somayeh Sojoudi - ‘‘Optimal Distributed Control of Power Systems,’’ INFORMS Annual Meeting, 2014
Ghazal Fazelnia, Ramtin Madani, Abdulrahman Kalbat, and Javad Lavaei - ‘‘Graph Theoretic Algorithm for Nonlinear Power Optimization Problems,’’ Modeling and Optimization: Theory and Applications (MOPTA), 2014
Javad Lavaei, Ramtin Madani, Somayeh Sojoudi, Ghazal Fazelnia, and Abdulrahman Kalbat - ‘‘Graph-theoretic Algorithm for Arbitrary Polynomial Optimization Problems,’’ Technical Conference to Increase Real-time and Day-ahead Market Efficiency and Enhancing Resilience Through Improved Software, 2014
Javad Lavaei, Ramtin Madani, Ghazal Fazelnia, Abdolrahman Kalbat, and Somayeh Sojoudi - ‘‘Low-rank Solution for Nonlinear Optimization over AC Transmission Networks,’’ Technical Conference to Increase Real-time and Day-ahead Market Efficiency and Enhancing Resilience Through Improved Software, 2013
Javad Lavaei, Somayeh Sojoudi, and Ramtin Madani