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Cascading failures in power grids
2014
Proceedings of the 5th international conference on Future energy systems - e-Energy '14
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Hence, we study cascades by using computational tools and a linearized power flow model. We first obtain results regarding the Moore-Penrose pseudo-inverse of the power grid admittance matrix. ...
This paper focuses on cascading line failures in the transmission system of the power grid. ...
Since the solution to (1)-(2) with respect to power flows is unique, if fij = 0, thenΘ = A + P is also a solution to (3) for the power vector P in the graph G . ...
doi:10.1145/2602044.2602066
dblp:conf/eenergy/SoltanMZ14
fatcat:e275huqrajadznggdh6kkzdmse
Graph-Theoretic Framework for Unified Analysis of Observability and Data Injection Attacks in the Smart Grid
[article]
2020
arXiv
pre-print
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First, the notion of observability attacks is defined based on a proposed graph-theoretic construct. ...
A case study using the IEEE 14-bus system with a set of 17 measurements is used to support the theoretical findings. ...
Instead, here, we provide a general graph-theoretic characterization of a solution to this problem using our developed framework. ...
arXiv:1801.08951v2
fatcat:rualzjtwybe5jizbd66dqdgd6e
Operating Power Grids with Few Flow Control Buses
[article]
2015
arXiv
pre-print
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We present a graph-theoretic explanation for this behavior. ...
To answer the second question we perform a set of experiments that explore the existence and costs of feasible power flow solutions at increased loads with respect to the number of flow control buses in ...
Model In this section we introduce three graph-theoretic flow models for optimal power flows. ...
arXiv:1505.05747v1
fatcat:qxytapvqvzcr3dfhx4r5khfetm
Deep Statistical Solvers
2020
Neural Information Processing Systems
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Focusing on use cases of systems of interacting and interchangeable entities (e.g. molecular dynamics, power systems, discretized PDEs), the proposed approach is instantiated within a class of Graph Neural ...
This is achieved by directly using as loss the objective function of the problem, as opposed to most previous Machine Learning based approaches, which mimic the solutions attained by an existing solver ...
part of power flow) and Q ij (imaginary part). ...
dblp:conf/nips/DononLLGMS20
fatcat:nwbm4k4m3jh3rcdrtc74x44g6q
Academic vs. Industrial Software Engineering: Closing the Gap
[chapter]
2001
Lecture Notes in Computer Science
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out of this research solutions from the other side. ...
We believe that it is possible to get academia and industry closer by starting projects that will require solution of non-trivial scientific tasks from one side and long-term commitment to create a product ...
To formalize this notion of "bigger", we will use the physical model. To calculate the power of edges in reduced graph we proposed to use the model of electric mains. ...
doi:10.1007/3-540-45575-2_32
fatcat:jadtdndvvzfslmh764vh5wl62q
Resistance distance criterion for optimal slack bus selection
[article]
2017
arXiv
pre-print
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We formulate a transmission loss minimization problem in terms of slack variables representing the additional power injection that each generator provides to compensate the transmission losses. ...
We show analytically that for transmission lines having small, homogeneous resistance over reactance ratios r/x≪1, transmission losses are generically minimal in the case of a unique slack bus instead ...
Dörfler for useful discussions. This work was supported by the Swiss National Science Foundation under an AP Energy Grant. ...
arXiv:1707.02845v1
fatcat:rfn7kjgt2ncoxbeqdzlk3vrje4
Synchronization of Kuramoto Oscillators: Inverse Taylor Expansions
[article]
2018
arXiv
pre-print
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Using this transcription, we develop a power series expansion to compute the synchronized solution of the Kuramoto model as well as a sufficient condition for the strong convergence of this series expansion ...
Truncating the power series provides (i) an efficient approximation scheme for computing the synchronized solution, and (ii) a simple-to-check, statistically-correct hierarchy of increasingly accurate ...
A wide range of methods for finding synchronized solutions of the Kuramoto model stem from the power network literature, where different techniques are used to find the solutions of the AC power flow equations ...
arXiv:1809.08720v1
fatcat:qyr5nfm2oncyrnctgyrpjwmwda
Scalable Algorithms for Data and Network Analysis
2016
Foundations and Trends® in Theoretical Computer Science
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Acknowledgements The writing of this article is supported in part by a Simons Investigator Award from the Simons Foundation and the NSF grant CCF-1111270.
Shang-Hua Teng Los Angeles ...
Remarks: The scalability analysis of algorithms is not unique to Big Data. ...
These local algorithms highlight the usefulness of graph-theoretical concepts, such as random walks, personalized PageRank, and conductance, for analyzing network structures, both mathematically and algorithmically ...
doi:10.1561/0400000051
fatcat:jkfytl34ifh4ldfdsiugrrgv7m
Compositional Models for Power Systems
2020
Electronic Proceedings in Theoretical Computer Science
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Considering the problem of distributing power on the grid in the presence of DERs, we show how to connect a generic problem specification with implementation-specific numerical solvers using the paradigm ...
We present a methodology for specifying, managing, and reasoning within multiple models of distributed energy resources (DERs), entities which produce, consume, or store power, using categorical databases ...
Mads Almassalkhi and his group at the University of Vermont for sharing their knowledge of power systems, as well as David Spivak and Ryan Wisnesky of Conxeus AI for helpful discussions. ...
doi:10.4204/eptcs.323.10
fatcat:urkkmpezdbd23boji2sflm3mee
On Local Computation for Optimization in Multi-Agent Systems
[article]
2020
arXiv
pre-print
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This notion provides a theoretical basis for a rather simple algorithm in which agents individually solve a truncated sub-problem of the global problem, where the size of the sub-problem used depends on ...
In this paper, we develop a rigorous notion of "locality" that quantifies the degree to which agents can compute their portion of the global solution based solely on information in their local neighborhood ...
ACKNOWLEDGMENTS Part of this research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration. ...
arXiv:2002.12313v2
fatcat:ehymlfumb5gntjewzthxc3t7em
A theory on power in networks
[article]
2016
arXiv
pre-print
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It asserts that power is in the hands of those connected with powerless others. ...
We propose an equally elegant counterpart: the power equation x = A x^, where x^ is the vector whose entries are the reciprocal of those of x. ...
It follows that the power problem x = A x ÷ has a solution exactly on the class of graphs that have total support. Moreover, if the graph is fully indecomposable, then the solution is also unique. ...
arXiv:1510.08332v2
fatcat:zp7c7aca5nftdbeolzce5hsg2u
A Fixed-Point Algorithm for the AC Power Flow Problem
[article]
2022
arXiv
pre-print
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Preliminary theoretical results guaranteeing convergence are reported for the case of a two-bus power system. ...
We validate the algorithm through extensive simulations on test systems of various sizes under different loading levels, and compare its convergence behavior against those of classic power flow algorithms ...
Second, we present preliminary theoretical results for a two-bus power system model, providing sufficient conditions for convergence of the algorithm towards the unique high-voltage power flow solution ...
arXiv:2210.01310v1
fatcat:3snhqo54frcsxohjtbzp2kgkgi
Sequential network‐flow based power‐flow method for hybrid power systems
2021
IET Generation, Transmission & Distribution
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The proposed method is a unique and novel one, which differs from other established methods that involve the use of modified versions of classical power flow methods. ...
This paper presents a sequential network-flow graph-based method for a steady-state power flow solution in hybrid multi-terminal power systems. ...
This paper introduces a unique and novel graph-based power flow algorithm for multi-terminal voltage source converterbased hybrid power systems using a sequential solution framework. ...
doi:10.1049/gtd2.12185
fatcat:uu2tdacay5hcppqx2ljclzbyfu
Cascading Failures in Power Grids - Analysis and Algorithms
[article]
2014
arXiv
pre-print
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Hence, we study cascades by using computational tools and a linearized power flow model. We first obtain results regarding the Moore-Penrose pseudo-inverse of the power grid admittance matrix. ...
This paper focuses on cascading line failures in the transmission system of the power grid. ...
Since the solution to (1)-(2) with respect to power flows is unique, if fij = 0, thenΘ = A + P ′ is also a solution to (3) for the power vector P ′ in the graph G ′ . ...
arXiv:1402.1780v1
fatcat:5azfter6hvfkxdem37cls6pxoe
Approximate Computation and Implicit Regularization for Very Large-scale Data Analysis
[article]
2012
arXiv
pre-print
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By using several case studies, I will illustrate, both theoretically and empirically, the nonobvious fact that approximate computation, in and of itself, can implicitly lead to statistical regularization ...
A concept that lies at the heart of this disconnect is that of statistical regularization, a notion that has to do with how robust is the output of an algorithm to the noise properties of the input data ...
Indeed, an important notion was (and still is) that of a well-posed problem-roughly, a problem is well-posed if: a solution exists; that solution is unique; and that solution depends continuously on the ...
arXiv:1203.0786v1
fatcat:xm27jkmhivcqtcrvpcatcigoza
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