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This paper introduces and reviews some of the principles and methods used in Bayesian reliability. It specifically discusses methods used in the analysis of success/no-success data and then reminds the reader of a simple Monte Carlo…

Methodology · Statistics 2024-06-10 Carsten H. Botts

The Power Law Process, also known as Non-Homogeneous Poisson Process, has been used in various aspects, one of which is the software reliability assessment. Specifically, by using its intensity function to compute the rate of change of a…

Computation · Statistics 2020-02-06 Freeh Alenezi , Chris. Tsokos

The reliable operation of a power distribution system relies on a good prior knowledge of its topology and its system state. Although crucial, due to the lack of direct monitoring devices on the switch statuses, the topology information is…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Yijun Xu , Jaber Valinejad , Mert Korkali , Lamine Mili , Yajun Wang , Xiao Chen , Zongsheng Zheng

The systems that statisticians are asked to assess, such as nuclear weapons, infrastructure networks, supercomputer codes and munitions, have become increasingly complex. It is often costly to conduct full system tests. As such, we present…

Methodology · Statistics 2009-09-29 Alyson G. Wilson , Todd L. Graves , Michael S. Hamada , C. Shane Reese

Budget allocation for power system reliability improvement is considered among the sophisticated problems because of its nonlinear nature. This nonlinearity makes the problem intractable for large-scale power systems. This paper compares…

Signal Processing · Electrical Eng. & Systems 2019-01-08 Hamzeh Davarikia , Masoud Barati , Yupo Chan , Kamran Iqbal

Conventional power system reliability suffers from the long run time of Monte Carlo simulation and the dimension-curse of analytic enumeration methods. This paper proposes a preliminary investigation on end-to-end machine learning for…

Machine Learning · Computer Science 2022-05-31 Yongli Zhu , Chanan Singh

Transmission line outage rates are fundamental to power system reliability analysis. Line outages are infrequent, occurring only about once a year, so outage data are limited. We propose a Bayesian hierarchical model that leverages line…

Applications · Statistics 2020-01-24 Kai Zhou , James R. Cruise , Chris J. Dent , Ian Dobson , Louis Wehenkel , Zhaoyu Wang , Amy L. Wilson

With a sustainable increase in the scale of power system, the number of states in the state space grows exponentially, and the reliability assessment of the power system faces enormous challenges. Traditional state-by-state assessment…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Wenjie Wan , Han Hu , Feiyu Chen , Xiaoyu Liu , Kequan Zhao

In reliability engineering, data about failure events is often scarce. To arrive at meaningful estimates for the reliability of a system, it is therefore often necessary to also include expert information in the analysis, which is…

Methodology · Statistics 2016-10-25 Gero Walter , Frank P. A. Coolen

This paper introduces a novel approach to the power system security assessment using Multi-Task Learning (MTL), and reformulating the problem as a multi-label classification task. The proposed MTL framework simultaneously assesses static,…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Muhy Eddin Za'ter , Amir Sajad , Bri-Mathias Hodge

Power device reliability is a major concern during operation under extreme environments, as doing so reduces the operational lifetime of any power system or sensing infrastructure. Due to a potential for system failure, devices must be…

Machine Learning · Computer Science 2021-07-23 Carlos Olivares , Raziur Rahman , Christopher Stankus , Jade Hampton , Andrew Zedwick , Moinuddin Ahmed

Voltage control is crucial to large-scale power system reliable operation, as timely reactive power support can help prevent widespread outages. However, there is currently no built in mechanism for power systems to ensure that the voltage…

Machine Learning · Computer Science 2023-05-29 Abhijeet Sahu , Katherine Davis

As machine learning (ML) systems increasingly permeate high-stakes settings such as healthcare, transportation, military, and national security, concerns regarding their reliability have emerged. Despite notable progress, the performance of…

Machine Learning · Computer Science 2023-08-01 Anthony Corso , David Karamadian , Romeo Valentin , Mary Cooper , Mykel J. Kochenderfer

Recent years have seen a notable increase in the frequency and intensity of extreme weather events. With a rising number of power outages caused by these events, accurate prediction of power line outages is essential for safe and reliable…

Machine Learning · Computer Science 2024-11-20 Xiaolin Chen , Qiuhua Huang , Yuqi Zhou

We present a Bayesian nonparametric system reliability model which scales well and provides a great deal of flexibility in modeling. The Bayesian approach naturally handles the disparate amounts of component and subsystem data that may…

Methodology · Statistics 2022-03-22 Richard L. Warr , Jeremy M. Meyer , Jackson T. Curtis

Probabilistic load forecasting (PLF) is a key component in the extended tool-chain required for efficient management of smart energy grids. Neural networks are widely considered to achieve improved prediction performances, supporting highly…

Signal Processing · Electrical Eng. & Systems 2021-01-12 Alessandro Brusaferri , Matteo Matteucci , Stefano Spinelli , Andrea Vitali

The enhanced Bayesian network (eBN) methodology described in the companion paper facilitates the assessment of reliability and risk of engineering systems when information about the system evolves in time. We present the application of the…

Applications · Statistics 2012-03-28 Daniel Straub , Armen Der Kiureghian

Bayesian Networks (BN) provide robust probabilistic methods of reasoning under uncertainty, but despite their formal grounds are strictly based on the notion of conditional dependence, not much attention has been paid so far to their use in…

Artificial Intelligence · Computer Science 2013-01-30 Luigi Portinale , Andrea Bobbio

Power system resilience is vital to modern society, as outages caused by extreme weather can severely disrupt communities. Existing statistical and simulation-based methods for resilience quantification are either retrospective or rely on…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Xuesong Wang , Caisheng Wang

Failure probabilities for grid components are often estimated using parametric models which can capitalize on operational grid data. This work formulates a Bayesian hierarchical framework designed to integrate data and domain expertise to…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Laurel N. Dunn , Ioanna Kavvada , Mathilde Badoual , Scott J. Moura
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