Search Results for author: Kaarthik Sundar

Found 10 papers, 7 papers with code

Optimal Power System Topology Control Under Uncertain Wildfire Risk

no code implementations14 Mar 2023 Yuqi Zhou, Kaarthik Sundar, Deepjyoti Deka, Hao Zhu

Wildfires pose a significant threat to the safe and reliable operation of electric power systems.

Numerical Solution of the Steady-State Network Flow Equations for a Non-Ideal Gas

1 code implementation31 Mar 2022 Shriram Srinivasan, Kaarthik Sundar, Vitaliy Gyrya, Anatoly Zlotnik

We identify criteria based on the uniqueness of solutions under which the existence of a non-physical generalized solution found by a non-linear solver implies non-existence of a physical solution, i. e., infeasibility of the problem.

Operation of Natural Gas Pipeline Networks With Storage Under Transient Flow Conditions

no code implementations3 Mar 2021 Sai Krishna Kanth Hari, Kaarthik Sundar, Shriram Srinivasan, Anatoly Zlotnik, Russell Bent

In particular, a reservoir is modeled as a rigid, hollow container that stores gas under isothermal conditions and uniform density, and a well is modeled as a vertical pipe.

Optimization and Control

Optimal Economic Operation of Liquid Petroleum Products Pipeline Systems

no code implementations21 Dec 2020 Elena Khlebnikova, Kaarthik Sundar, Anatoly Zlotnik, Russell Bent, Mary Ewers, Byron Tasseff

The majority of overland transport needs for crude petroleum and refined petroleum products are met using pipelines.

Optimization and Control 76B75, 90C35

Sequence of Polyhedral Relaxations for Nonlinear Univariate Functions

1 code implementation27 May 2020 Kaarthik Sundar, Sujeevraja Sanjeevi, Harsha Nagarajan

Given a nonlinear, univariate, bounded, and differentiable function $f(x)$, this article develops a sequence of Mixed Integer Linear Programming (MILP) and Linear Programming (LP) relaxations that converge to the graph of $f(x)$ and its convex hull, respectively.

Optimization and Control

A Branch-and-Price Algorithm for a Team Orienteering Problem with Fixed-Wing Drones

1 code implementation9 Dec 2019 Kaarthik Sundar, Sujeevraja Sanjeevi

This paper formulates a team orienteering problem with multiple fixed-wing drones and develops a branch-and-price algorithm to solve the problem to optimality.

Optimization and Control

PowerModels.jl: An Open-Source Framework for Exploring Power Flow Formulations

2 code implementations6 Nov 2017 Carleton Coffrin, Russell Bent, Kaarthik Sundar, Yeesian Ng, Miles Lubin

This work provides a brief introduction to the design of PowerModels, validates its implementation, and demonstrates its effectiveness with a proof-of-concept study analyzing five different formulations of the Optimal Power Flow problem.

Optimization and Control Computational Engineering, Finance, and Science

An Adaptive, Multivariate Partitioning Algorithm for Global Optimization of Nonconvex Programs

2 code implementations9 Jul 2017 Harsha Nagarajan, Mowen Lu, Site Wang, Russell Bent, Kaarthik Sundar

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality.

Optimization and Control Systems and Control

Probabilistic $N$-$k$ Failure-Identification for Power Systems

2 code implementations18 Apr 2017 Kaarthik Sundar, Carleton Coffrin, Harsha Nagarajan, Russell Bent

A general cutting-plane algorithm is proposed to solve the convex relaxation and linear approximations of the $N$-$k$ problem.

Systems and Control

A Modified Benders Decomposition for Chance-Constrained Unit Commitment with N-1 Security and Wind Uncertainty

1 code implementation15 Mar 2017 Kaarthik Sundar, Harsha Nagarajan, Line Roald, Sidhant Misra, Russell Bent, Daniel Bienstock

As renewable wind energy penetration rates continue to increase, one of the major challenges facing grid operators is the question of how to control transmission grids in a reliable and a cost-efficient manner.

Systems and Control

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