Daniel K. Molzahn

Congestion Structure and Exceedance Bounds for Locational Marginal Emissions

Cameron Khanpour, Samuel Talkington, Daniel K. Molzahn

Locational marginal emissions (LMEs) give the sensitivity of total operating carbon emissions to nodal power demand. We show that this vector with $n$ entries has a much smaller in…

Targeted Power System Frequency Attack via the Selection of Maliciously Controlled Inverters

Xiangyu Zou, Betelihem Ashebo, Daniel K. Molzahn

This paper studies how an adversary can execute a power system frequency attack by choosing the most effective subset of inverter-based resources (IBRs) as malicious control nodes.…

Zero-Sum Power Factor Games

Cameron Khanpour, Samuel Talkington, Mathieu Dahan +1

Variable active power injections arising from device behavior or compromised dispatch complicate voltage regulation in electric power networks with distributed energy resources (DE…

Ramping-aware Enhanced Flexibility Aggregation of Distributed Generation with Energy Storage in Power Distribution Networks

Hyeongon Park, Daniel K. Molzahn, Rahul K. Gupta

Power distribution networks are increasingly hosting controllable and flexible distributed energy resources (DERs) that, when aggregated, can provide ancillary support to transmiss…

Fair Cost Allocation in Energy Communities: A DLMP-based Bilevel Optimization with a Shapley Value Approach

Hyeongon Park, Kyuhyeong Kwag, Daniel K. Molzahn +1

Energy communities (ECs) are emerging as a promising decentralized model for managing cooperative distributed energy resources (DERs). As these communities expand and their operati…

Differentiating Through Power Flow Solutions for Admittance and Topology Control

Samuel Talkington, Daniel Turizo, Sergio A. Dorado-Rojas +2

The power flow equations relate bus voltage phasors to power injections via the network admittance matrix. These equations are central to the key operational and protection functio…

Admittance Matrix Concentration Inequalities for Understanding Uncertain Power Networks

Samuel Talkington, Cameron Khanpour, Rahul K. Gupta +5

This paper presents conservative probabilistic bounds for the spectrum of the admittance matrix and classical linear power flow models under uncertain network parameters; for examp…

Certifying the Nonexistence of Feasible Path Between Power System Operating Points

Mohammad Rasoul Narimani, Katherine R. Davis, Daniel K. Molzahn

By providing the optimal operating point that satisfies both the power flow equations and engineering limits, the optimal power flow (OPF) problem is central to power systems opera…

Error Bounds for Radial Network Topology Learning from Quantized Measurements

Samuel Talkington, Aditya Rangarajan, Pedro A. de Alcântara +3

We probabilistically bound the error of a solution to a radial network topology learning problem where both connectivity and line parameters are estimated. In our model, data error…

Optimizing Battery and Line Undergrounding Investments for Transmission Systems under Wildfire Risk Scenarios: A Benders Decomposition Approach

Ryan Piansky, Rahul K. Gupta, Daniel K. Molzahn

With electric power infrastructure posing an increasing risk of igniting wildfires under continuing climate change, utilities are frequently de-energizing power lines to mitigate w…

Evaluating Undergrounding Decisions for Wildfire Ignition Risk Mitigation across Multiple Hazards

Ryan Piansky, Daniel K. Molzahn, Nicole D. Jackson +1

With electric power infrastructure increasingly susceptible to impacts from climate-driven natural disasters, there is an increasing need for optimization algorithms that determine…

Optimizing Phase Allocation in Unbalanced Power Distribution Networks using a Linearized DistFlow Formulation

Rahul K. Gupta, Daniel K. Molzahn

Power distribution networks, especially in North America, are often unbalanced but are designed to keep unbalance levels within the limits specified by IEEE, IEC, and NEMA standard…

AC-Informed DC Optimal Transmission Switching Problems via Parameter Optimization

Babak Taheri, Daniel K. Molzahn

Optimal Transmission Switching (OTS) problems minimize operational costs while treating both the transmission line energization statuses and generator setpoints as decision variabl…

Strategic Electric Distribution Network Sensing via Spectral Bandits

Samuel Talkington, Rahul Gupta, Richard Asiamah +2

Despite their wide-scale deployment and ability to make accurate high-frequency voltage measurements, communication network limitations have largely precluded the use of smart mete…

Quantifying Metrics for Wildfire Ignition Risk from Geographic Data in Power Shutoff Decision-Making

Ryan Piansky, Sofia Taylor, Noah Rhodes +3

Faults on power lines and other electric equipment are known to cause wildfire ignitions. To mitigate the threat of wildfire ignitions from electric power infrastructure, many util…

Long Duration Battery Sizing, Siting, and Operation Under Wildfire Risk Using Progressive Hedging

Ryan Piansky, Georgia Stinchfield, Alyssa Kody +2

Battery sizing and siting problems are computationally challenging due to the need to make long-term planning decisions that are cognizant of short-term operational decisions. This…

Conservative Bias Linear Power Flow Approximations: Application to Unit Commitment

Paprapee Buason, Sidhant Misra, Daniel K. Molzahn

Accurate modeling of power flow behavior is essential for a wide range of power system applications, yet the nonlinear and nonconvex structure of the underlying equations often lim…