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Article describes the results of the development and using of Rare-Event Monte-Carlo Simulation Algorithms for Dynamic Fault Trees Estimation. For Fault Trees estimation usually analytical methods are used (Minimal Cut sets, Markov Chains,…

Applications · Statistics 2016-01-28 Sergey Porotsky

The increasing use of renewable energy sources with variable output, such as solar photovoltaic and wind power generation, calls for Smart Grids that effectively manage flexible loads and energy storage. The ability to forecast consumption…

Machine Learning · Computer Science 2014-04-02 Andreas Veit , Christoph Goebel , Rohit Tidke , Christoph Doblander , Hans-Arno Jacobsen

Autonomous Vehicles (AVs) are often tested in simulation to estimate the probability they will violate safety specifications. Two common issues arise when using existing techniques to produce this estimation: If violations occur rarely,…

Robotics · Computer Science 2024-07-25 Craig Innes , Subramanian Ramamoorthy

This paper presents a complex systems overview of a power grid network. In recent years, concerns about the robustness of the power grid have grown because of several cascading outages in different parts of the world. In this paper,…

Adaptation and Self-Organizing Systems · Physics 2010-06-24 Sakshi Pahwa , Amelia Hodges , Caterina Scoglio , Sean Wood

We study the spreading of renewable power fluctuations through grids with Ohmic losses on the lines. By formulating a network adapted linear response theory, we find that vulnerability patterns are linked to the left Laplacian eigenvectors…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Anton Plietzsch , Sabine Auer , Jürgen Kurths , Frank Hellmann

Increasing shares of fluctuating renewable energy sources induce higher and higher power flow variability at the transmission level. The question arises as to what extent existing networks can absorb additional fluctuating power injection…

Systems and Control · Computer Science 2014-11-18 Markus Schläpfer , Pierluigi Mancarella

Higher levels of renewable electricity generation increase uncertainty in power system operation. To ensure secure system operation, new tools that account for this uncertainty are required. In this paper, we formulate a chance-constrained…

Optimization and Control · Mathematics 2019-05-07 Line Roald , Göran Andersson

In this paper, we propose an efficient importance sampling algorithm for rare event simulation under copula models. In the algorithm, the derived optimal probability measure is based on the criterion of minimizing the variance of the…

Computation · Statistics 2025-04-07 Siang Cheng , Cheng-Der Fuh , Tianxiao Pang

The attainment of carbon neutrality requires a research agenda that addresses the technical and economic challenges that will be encountered as we progress toward 100% renewable electricity generation. Increasing proportions of variable…

Systems and Control · Electrical Eng. & Systems 2022-03-01 Young-Jin Kim

Smart grids are critical cyber-physical systems that are vital to our energy future. Smart grids' fault resilience is dependent on the use of advanced protection systems that can reliably adapt to changing conditions within the grid. The…

Systems and Control · Electrical Eng. & Systems 2023-03-01 Amr S. Mohamed , Deepa Kundur , Mohsen Khalaf

Electrical power grids are vulnerable to cascading failures that can lead to large blackouts. Detection and prevention of cascading failures in power grids is impor- tant. Currently, grid operators mainly monitor the state (loading level)…

Physics and Society · Physics 2015-07-20 Martijn Warnier , Stefan Dulman , Yakup Koç , Eric Pauwels

This paper aims to investigate the risk identification problem of power transmission system that is integrated with renewable energy sources. In practice, the fluctuation of power generation from renewable energy sources can lead to severe…

Systems and Control · Computer Science 2018-11-26 Chao Zhai , Gaoxi Xiao , Hehong Zhang , Tso-Chien Pan

The increasing penetration of variable renewable energy (VRE) has brought significant challenges for power systems planning and operation. These highly variable sources are typically distributed in the grid; therefore, a detailed…

We describe an adaptive importance sampling algorithm for rare events that is based on a dual stochastic control formulation of a path sampling problem. Specifically, we focus on path functionals that have the form of cumulate generating…

Dynamical Systems · Mathematics 2019-01-30 Omar Kebiri , Lara Neureither , Carsten Hartmann

As illustrated in recent years (Superstorm Sandy, the Northeast Ice Storm of 1998, etc.), extreme weather events pose an enormous threat to the electric power transmission systems and the associated socio-economic systems that depend on…

Optimization and Control · Mathematics 2017-03-20 Harsha Nagarajan , Russell Bent , Pascal Van Hentenryck , Scott Backhaus , Emre Yamangil

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

In this work, we develop an importance sampling estimator by coupling the reduced-order model and the generative model in a problem setting of uncertainty quantification. The target is to estimate the probability that the quantity of…

Machine Learning · Statistics 2024-12-20 Xiaoliang Wan , Shuangqing Wei

The integration of renewable resources has increased in power generation as a means to reduce the fossil fuel usage and mitigate its adverse effects on the environment. However, renewables like solar energy are stochastic in nature due to…

The paradigm shift in the electric power grid necessitates a revisit of existing control methods to ensure the grid's security and resilience. In particular, the increased uncertainties and rapidly changing operational conditions in power…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Thanh Long Vu , Sayak Mukherjee , Tim Yin , Renke Huang , and Jie Tan , Qiuhua Huang

We propose a mathematical framework for designing robust networks of coupled phase-oscillators by leveraging a vulnerability measure proposed by Tyloo et. al that quantifies how much a small perturbation to a phase-oscillator's natural…

Optimization and Control · Mathematics 2023-08-14 Shriya V. Nagpal , Gokul G. Nair , Francesca Parise , C. Lindsay Anderson