{"title":"Reliability Evaluation of Multi-Area Power Systems","authors":"","doi":"10.1002/9781119536772.ch10","DOIUrl":"https://doi.org/10.1002/9781119536772.ch10","url":null,"abstract":"","PeriodicalId":162313,"journal":{"name":"Electric Power Grid Reliability Evaluation","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125454367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Monte Carlo Simulation","authors":"C. Singh, P. Jirutitijaroen, J. Mitra","doi":"10.1002/9781119536772.CH6","DOIUrl":"https://doi.org/10.1002/9781119536772.CH6","url":null,"abstract":"Monte Carlo simulation consists of imitating the stochastic behavior of a physical system. Monte Carlo simulation is often used as an alternative to analytical methods. Basic concepts of Monte Carlo simulation applied to power systems are described using an example of a system with two independent components. Random sampling, or nonsequential simulation, consists of performing random sampling over the aggregate of all possible states the system can assume during the period of interest. In sequential methods, the mathematical model of the system is made to generate an artificial history over time, and appropriate statistical inferences are drawn from this history. It is crucial to sample sufficient number of states to estimate reliability indices. The chapter describes the estimation and convergence criterion of both techniques, namely: random sampling and sequential sampling. It explains variance reduction techniques, such as importance sampling, control variate sampling, antithetic variate sampling, and Latin Hypercube Sampling (LHS).","PeriodicalId":162313,"journal":{"name":"Electric Power Grid Reliability Evaluation","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117067469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Review of Probability Theory","authors":"A. Maleki, Tom Do","doi":"10.1002/9781119536772.ch2","DOIUrl":"https://doi.org/10.1002/9781119536772.ch2","url":null,"abstract":"Probability theory is the study of uncertainty. Through this class, we will be relying on concepts from probability theory for deriving machine learning algorithms. These notes attempt to cover the basics of probability theory at a level appropriate for CS 229. The mathematical theory of probability is very sophisticated, and delves into a branch of analysis known as measure theory. In these notes, we provide a basic treatment of probability that does not address these finer details.","PeriodicalId":162313,"journal":{"name":"Electric Power Grid Reliability Evaluation","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117073208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Introduction to Reliability","authors":"M. El-Reedy","doi":"10.1201/B12978-2","DOIUrl":"https://doi.org/10.1201/B12978-2","url":null,"abstract":"","PeriodicalId":162313,"journal":{"name":"Electric Power Grid Reliability Evaluation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116869726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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