Distributed Monitoring of Power System Oscillations Using Multiblock Principal Component Analysis and Higher-order Singular Value Decomposition
نویسندگان
چکیده
The primary goal in the analysis of hierarchical distributed monitoring and control architectures is to study spatiotemporal patterns interactions between areas or subsystems. In this paper, a novel conceptual framework for power system oscillations using multi-block principal component (MB-PCA) higher-order singular value decomposition (HOSVD) proposed understand, characterize, visualize global behavior system. can be used evaluate influence given area utility on oscillatory behavior, uncover low-dimensional structures from high-dimensional data, analyze effects heterogeneous data modal characteristics interpretation metrics are then investigated examine relationships dynamic participation individual blocks Practical Application these techniques demonstrated by case studies two systems: 14-machine test 5449-bus 635-generator equivalent model large
منابع مشابه
Principal Component Analysis using Singular Value Decomposition of Microarray Data
A series of microarray experiments produces observations of differential expression for thousands of genes across multiple conditions. Principal component analysis(PCA) has been widely used in multivariate data analysis to reduce the dimensionality of the data in order to simplify subsequent analysis and allow for summarization of the data in a parsimonious manner. PCA, which can be implemented...
متن کاملSingular Value Decomposition (SVD) and Principal Component Analysis (PCA)
l=1 σlulv T l (1) ∀ l σl ∈ R, σl ≥ 0 (2) ∀ l, l 〈ul, ul′〉 = 〈vl, vl′〉 = δ(l, l) (3) To prove this consider the matrix AA ∈ R. Set ul to be the l’th eigenvector of AA . By definition we have that AAul = λlul. Since AA T is positive semidefinite we have λl ≥ 0. Since AA is symmetric we have that ∀ l, l 〈ul, ul′〉 = δ(l, l). Set σl = √ λl and vl = 1 σl Aul. Now we can compute the following: 〈vl, vl...
متن کاملBatch Process Monitoring Using Multiblock Multiway Principal Component Analysis
Batch process monitoring to detect the existence and magnitude of changes that cause a deviation from the normal operation has gained considerable attention in the last decade. There are some batch processes that occur as a single step, whereas many others include multiple phases due to operational or phenomenological regimes or multiple stages where different processing units are employed. Hav...
متن کاملRandomized algorithms for distributed computation of principal component analysis and singular value decomposition
As illustrated via numerical experiments with an implementation in Spark (the popular platform for distributed computation), randomized algorithms provide solutions to two ubiquitous problems: (1) the distributed calculation of a full principal component analysis or singular value decomposition of a highly rectangular matrix, and (2) the distributed calculation of a low-rank approximation (in t...
متن کاملFusion of Image Using Higher Order Singular Value Decomposition
Image processing is a method to convert an image into digital form and perform some operations on it, in order to get an enhanced image or to extract some useful information from it. It is a type of signal dispensation in which input is image, like video frame or photograph and output may be image or characteristics associated with that image. Usually Image processing system includes treating i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of modern power systems and clean energy
سال: 2022
ISSN: ['2196-5420', '2196-5625']
DOI: https://doi.org/10.35833/mpce.2021.000534