activity
20122022
most citedLearning Deep Neural Network Representations for Koopman Operators of Nonlinear Dynamical Systems

20 citations · 50 across the 24 of their papers we have counts for

collaborators

26 papers

eess.SY2022★ 13 cited

Analyzing Distribution Transformer Degradation with Increased Power Electronic Loads

Bhaskar Mitra, Ankit Singhal, Soumya Kundu +1

The influx of non-linear power electronic loads into the distribution network has the potential to disrupt the existing distribution transformer operations. They were not designed…

math.OC2022

Improved microgrid resiliency through distributionally robust optimization under a policy-mode framework

Nawaf Nazir, Thiagarajan Ramachandaran, Soumya Kundu +1

Critical energy infrastructure are constantly understress due to the ever increasing disruptions caused by wildfires, hurricanes, other weather related extreme events and cyber-att…

eess.SY2022

Optimization-Based Resiliency Verification in Microgrids via Maximal Adversarial Set Characterization

Nawaf Nazir, Thiagarajan Ramachandran, Saptarshi Bhattacharya +3

Critical energy infrastructures are increasingly relying on advanced sensing and control technologies for efficient and optimal utilization of flexible energy resources. Algorithmi…

eess.SY2022

Distributed Transient Safety Verification via Robust Control Invariant Sets: A Microgrid Application

Jean-Baptiste Bouvier, Sai Pushpak Nandanoori, Melkior Ornik +1

Modern safety-critical energy infrastructures are increasingly operated in a hierarchical and modular control framework which allows for limited data exchange between the modules.…

eess.SY2022★ 1 cited

Graph Neural Network and Koopman Models for Learning Networked Dynamics: A Comparative Study on Power Grid Transients Prediction

Sai Pushpak Nandanoori, Sheng Guan, Soumya Kundu +4

Continuous monitoring of the spatio-temporal dynamic behavior of critical infrastructure networks, such as the power systems, is a challenging but important task. In particular, ac…

eess.SY2021

Sparse Control Synthesis for Uncertain Responsive Loads with Stochastic Stability Guarantees

Sai Pushpak Nandanoori, Soumya Kundu, Jianming Lian +3

Recent studies have demonstrated the potential of flexible loads in providing frequency response services. However, uncertainty and variability in various weather-related and end-u…

math.OC2019

Resilience of Traffic Networks with Partially Controlled Routing

Gianluca Bianchin, Fabio Pasqualetti, Soumya Kundu

This paper investigates the use of Infrastructure-To-Vehicle (I2V) communication to generate routing suggestions for drivers in transportation systems, with the goal of optimizing…

eess.SY2019

Distribution System State Estimation in the Presence of High Solar Penetration

Thiagarajan Ramachandran, Andrew Reiman, Sai Pushpak Nandanoori +2

Low-to-medium voltage distribution networks are experiencing rising levels of distributed energy resources, including renewable generation, along with improved sensing, communicati…

math.OC2019

Identifying Parameter Space for Robust Stability in Nonlinear Networks: A Microgrid Application

Soumya Kundu, Wei Du, Sai Pushpak Nandanoori +2

As modern engineering systems grow in complexity, attitudes toward a modular design approach become increasingly more favorable. A key challenge to a modular design approach is the…

math.OC2019

Identification and Validation of Virtual Battery Model for Heterogeneous Devices

Sai Pushpak Nandanoori, Indrasis Chakraborty, Thiagarajan Ramachandran +1

The potential of distributed energy resources in providing grid services can be maximized with the recent advancements in demand side control. Effective utilization of this control…

cs.LG2018

Virtual Battery Parameter Identification using Transfer Learning based Stacked Autoencoder

Indrasis Chakraborty, Sai Pushpak Nandanoori, Soumya Kundu

Recent studies have shown that the aggregated dynamic flexibility of an ensemble of thermostatic loads can be modeled in the form of a virtual battery. The existing methods for com…

math.OC2018

Scalable Computation of 2D-Minkowski Sum of Arbitrary Non-Convex Domains: Modeling Flexibility in Energy Resources

Soumya Kundu, Vikas Chandan, Karan Kalsi

The flexibility of active () and reactive power () consumption in distributed energy resources (DERs) can be represented as a (potentially non-convex) set of points in the $p…

math.OC2018★ 2 cited

Prioritized Threshold Allocation for Distributed Frequency Response

Sai Pushpak Nandanoori, Soumya Kundu, Draguna Vrabie +2

Higher penetration of renewable generation will increase the demand for adequate (and cost-effective) controllable resources on the grid that can mitigate and contain the contingen…

math.OC2018

Optimal Energy Consumption Forecast for Grid Responsive Buildings: A Sensitivity Analysis

Soumya Kundu, Thiagarajan Ramachandran, Yan Chen +1

It is envisioned that building systems will become active participants in the smart grid operation by controlling their energy consumption to optimize complex criteria beyond ensur…

eess.SY2018

Approximating Flexibility in Distributed Energy Resources: A Geometric Approach

Soumya Kundu, Karanjit Kalsi, Scott Backhaus

With increasing availability of communication and control infrastructure at the distribution systems, it is expected that the distributed energy resources (DERs) will take an activ…

math.DS2018

Decomposition of Nonlinear Dynamical Networks via Comparison Systems

Abdullah Maruf, Soumya Kundu, Enoch Yeung +1

In analysis and control of large-scale nonlinear dynamical systems, a distributed approach is often an attractive option due to its computational tractability and usually low commu…

eess.SY2017★ 3 cited

Decomposition of Nonlinear Dynamical Systems Using Koopman Gramians

Zhiyuan Liu, Soumya Kundu, Lijun Chen +1

In this paper we propose a new Koopman operator approach to the decomposition of nonlinear dynamical systems using Koopman Gramians. We introduce the notion of an input-Koopman ope…

cs.LG2017★ 20 cited

Learning Deep Neural Network Representations for Koopman Operators of Nonlinear Dynamical Systems

Enoch Yeung, Soumya Kundu, Nathan Hodas

The Koopman operator has recently garnered much attention for its value in dynamical systems analysis and data-driven model discovery. However, its application has been hindered by…

math.OC2017

Assessment of Optimal Flexibility in Ensemble of Frequency Responsive Loads

Soumya Kundu, Jacob Hansen, Jianming Lian +1

Potential of electrical loads in providing grid ancillary services is often limited due to the uncertainties associated with the load behavior. A knowledge of the expected uncertai…

math.DS2016

A Multiple-Comparison-Systems Method for Distributed Stability Analysis of Large-Scale Nonlinear Systems

Soumya Kundu, Marian Anghel

Lyapunov functions provide a tool to analyze the stability of nonlinear systems without extensively solving the dynamics. Recent advances in sum-of-squares methods have enabled the…

math.DS2015★ 4 cited

Computation of Linear Comparison Equations for Stability Analysis of Interconnected Systems

Soumya Kundu, Marian Anghel

Sum-of-squares (SOS) methods have been shown to be very useful in computing polynomial Lyapunov functions for systems of reasonably small size. However for large scale systems it i…

math.DS2015★ 2 cited

Distributed Coordinated Control of Large-Scale Nonlinear Networks

Soumya Kundu, Marian Anghel

We provide a distributed coordinated approach to the stability analysis and control design of large-scale nonlinear dynamical systems by using a vector Lyapunov functions approach.…

math.DS2015★ 1 cited

Stability and Control of Power Systems using Vector Lyapunov Functions and Sum-of-Squares Methods

Soumya Kundu, Marian Anghel

Recently sum-of-squares (SOS) based methods have been used for the stability analysis and control synthesis of polynomial dynamical systems. This analysis framework was also extend…

math.DS2015

A Sum-of-Squares approach to the Stability and Control of Interconnected Systems using Vector Lyapunov Functions

Soumya Kundu, Marian Anghel

Stability analysis tools are essential to understanding and controlling any engineering system. Recently sum-of-squares (SOS) based methods have been used to compute Lyapunov based…