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Accurate and Warm-Startable Linear Cutting-Plane Relaxations for ACOPF
2024 IEEE 63rd Conference on Decision and Control (CDC)
Year: 2024 | Conference Paper |
We present a linear cutting-plane relaxation approach that rapidly proves tight lower bounds for the Alternating Current Optimal Power FlowProblem (ACOPF). Our method leverages outer-envelope linear cuts for well-known second-order cone relaxations for ACOPF along with modern cut management techniques. These techniques prove effective on a broad family of ACOPF instances, including the largest one...Show More
Risk-Aware Security-Constrained Unit Commitment: Taming the Curse of Real-Time Volatility and Consumer Exposure
Daniel Bienstock;Yury Dvorkin;Cheng Guo;Robert Mieth;Jiayi Wang
We propose an enhancement to wholesale electricity markets to contain the exposure of consumers to increasingly large and volatile consumer payments arising as a byproduct of volatile real-time net loads – i.e., loads minus renewable outputs – and prices, both compared to day-ahead cleared values. We incorporate a trade-off, motivated by portfolio optimization methods, between standard day-ahead p...Show More
Physics-Informed Machine Learning for Electricity Markets: A NYISO Case Study
Robert Ferrando;Laurent Pagnier;Robert Mieth;Zhirui Liang;Yury Dvorkin;Daniel Bienstock;Michael Chertkov
This article addresses the challenge of efficiently recovering exact solutions to the optimal power flow problem in real-time electricity markets. The proposed solution, named Physics-Informed Market-Aware Active Set learning OPF (PIMA-AS-OPF), leverages physical constraints and market properties to ensure physical and economic feasibility of market-clearing outcomes. Specifically, PIMA-AS-OPF emp...Show More
Stochastic Defense Against Complex Grid Attacks
We describe stochastic defense mechanisms designed to detect sophisticated grid attacks involving both physical actions (including load modification) and sensor output alteration. The initial attacks are undetectable under a full ac power-flow model even assuming ubiquitous sensor placement, while hiding large line overloads. The defensive techniques apply network control actions that change volta...Show More
Assuming access to synchronized stream of Phasor Measurement Unit (PMU) data over a significant portion of a power system interconnect, say controlled by an Independent System Operator (ISO), what can you extract about past, current and future state of the system? We have focused on answering these practical questions pragmatically _ empowered with nothing but standard tools of data analysis, such...Show More
Variance-Aware Optimal Power Flow: Addressing the Tradeoff Between Cost, Security, and Variability
Recent work has studied modifications to DC optimal power flow (DC-OPF) computations so as to better account for risk arising as a result of stochastic variation in the output of renewable sources. Typically such modifications rely on mathematical constructs, such as chance-constraints, that can still yield convex formulations. However, numerical simulations show that the computed policies can tra...Show More
Chance-Constrained Unit Commitment With N-1 Security and Wind Uncertainty
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. The stochastic nature of wind forces an alteration of traditional methods for solving day-ahead and look-ahead unit commitment and dispatch. In particular, the variability of wind generatio...Show More
Variance-Aware Optimal Power Flow
2018 Power Systems Computation Conference (PSCC)
Year: 2018 | Conference Paper |
Cited by: Papers (2)
The incorporation of stochastic loads and generation into the operation of power grids gives rise to an exposure to stochastic risk. This risk has been addressed in prior work through a variety of mechanisms, such as scenario generation or chance constraints, that can be incorporated into OPF computations. Nevertheless, numerical experiments reveal that the resulting operational decisions can prod...Show More
Robust linear control of storage in transmission systems, and extensions to robust network control problems
2017 IEEE 56th Annual Conference on Decision and Control (CDC)
Year: 2017 | Conference Paper |
Cited by: Papers (4)
We describe a robust multiperiod transmission planning model including renewables and batteries, where battery output is used to partly offset renewable output deviations from forecast. A central element is a nonconvex battery operation model plus a robust model of forecast errors and a linear control scheme. Even though the problem is nonconvex we provide an efficient and theoretically valid algo...Show More
Unit commitment with N-1 Security and wind uncertainty
Kaarthik Sundar;Harsha Nagarajan;Miles Lubin;Line Roald;Sidhant Misra;Russell Bent;Daniel Bienstock
2016 Power Systems Computation Conference (PSCC)
Year: 2016 | Conference Paper |
Cited by: Papers (16)
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. The stochastic nature of wind forces an alteration of traditional methods for solving day-ahead and look-ahead unit commitment and dispatch. In particular, uncontrollable wind generation in...Show More
Analyzing Vulnerability of Power Systems with Continuous Optimization Formulations
Potential vulnerabilities in a power grid can be exposed by identifying those transmission lines on which attacks (in the form of interference with their transmission capabilities) causes maximum disruption to the grid. In this study, we model the grid by (nonlinear) AC power flow equations, and assume that attacks take the form of increased impedance along transmission lines. We quantify disrupti...Show More
Approximate method for AC transmission switching based on a simple relaxation for ACOPF problems
2015 IEEE Power & Energy Society General Meeting
Year: 2015 | Conference Paper |
Cited by: Papers (11)
Transmission switching planning under an AC power flow model is a challenging mathematical problem, incorporating nonlinearities, nonconvexities, and discrete variables. An effective solution methodology would develop an appropriate relaxation and then rely on methods from discrete optimization to simultaneously refine the relaxation, and perform enumeration, so as to obtain a sequence of narrowin...Show More
Temperature-based instanton analysis: Identifying vulnerability in transmission networks
Jonas Kersulis;Ian Hiskens;Michael Chertkov;Scott Backhaus;Daniel Bienstock
A time-coupled instanton method for characterizing transmission network vulnerability to wind generation fluctuation is presented. To extend prior instanton work to multiple-time-step analysis, line constraints are specified in terms of temperature rather than current. An optimization formulation is developed to express the minimum wind forecast deviation such that at least one line is driven to i...Show More
Power grid vulnerability to geographically correlated failures — Analysis and control implications
Andrey Bernstein;Daniel Bienstock;David Hay;Meric Uzunoglu;Gil Zussman
IEEE INFOCOM 2014 - IEEE Conference on Computer Communications
Year: 2014 | Conference Paper |
Cited by: Papers (101)
We consider line outages in the transmission network of the power grid, and specifically those caused by natural disasters or large-scale physical attacks. In such networks, an outage of a line may lead to overload on other lines, thereby leading to their outage. Such a cascade may have devastating effects not only on the power grid but also on the interconnected communication networks. We study a...Show More
Future Grids will integrate time-intermittent renewables and demand response whose fluctuating outputs will create perturbations requiring probabilistic measures of resilience. When smart but uncontrollable resources fluctuate, Optimum Power Flow (OPF), routinely used by the electric power industry to dispatch controllable generation over control areas of transmission networks, can result in highe...Show More
This paper discusses a control scheme for maintaining low tripping probability of a transmission system power line under thermal stress. We construct a stochastic differential equation to describe the temperature evolution in a line subject to randomness of the ambient temperature. When the distribution of the ambient temperature changes, so does the dependence of the tripping probability as a fun...Show More
Stochastic models and control for electrical power line temperature
2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)
Year: 2013 | Conference Paper |
In this paper we consider the evolution of the temperature of a power line under stochastic exogenous factors such as ambient temperature. We present a solution to the resulting stochastic heat equation and we propose a number of control algorithms designed to maximize delivered power under chance constraints used to limit the probability that a line exceeds its critical temperature.Show More
Synchronization-aware and algorithm-efficient chance constrained optimal power flow
2013 IREP Symposium Bulk Power System Dynamics and Control - IX Optimization, Security and Control of the Emerging Power Grid
Year: 2013 | Conference Paper |
Cited by: Papers (8)
One of the most common control decisions faced by power system operators is the question of how to dispatch generation to meet demand for power. This is a complex optimization problem that includes many nonlinear, non convex constraints as well as inherent uncertainties about future demand for power and available generation. In this paper we develop convex formulations to appropriately model cruci...Show More
Optimal control of cascading power grid failures
2011 50th IEEE Conference on Decision and Control and European Control Conference
Year: 2011 | Conference Paper |
Cited by: Papers (54)
We study algorithms for computing optimal load shedding schedules in the event of a cascading power system failure. The algorithms compute an affine control at the onset of the cascade; the control is applied during the cascade as a function of observed state parameters such as line overloads. In the case of line outages that follow a deterministic rule, we obtain an efficient (polynomial time) al...Show More
Adaptive online control of cascading blackouts
2011 IEEE Power and Energy Society General Meeting
Year: 2011 | Conference Paper |
Cited by: Papers (10)
We study online control algorithms to be deployed in the event of a cascading power system failure. The control mechanism is computed after the initial event that sets off the cascade and is applied as the cascade unfolds, with the goal of reaching a stable state while shedding a minimum amount of load. We focus on robust controls, using models of line outages that explicitly account for noise. Co...Show More
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