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Fourier series

About: Fourier series is a research topic. Over the lifetime, 16548 publications have been published within this topic receiving 322486 citations.


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Journal ArticleDOI
TL;DR: In this article, a nonlinear least squares method for measuring the power system frequency is presented, wherein the voltage at the measurement point is modeled by using the Fourier series. But the robustness of this algorithm with respect to change in various parameters is studied through simulation and the results are validated by hardware implementation using a Virtex IV field-programmable gate array.
Abstract: This paper presents a nonlinear least squares method for measuring the power system frequency, wherein the voltage at the measurement point is modeled by using the Fourier series. The estimation of the fundamental frequency is a nonlinear problem in this formulation and is solved by performing a 1-D search over the range of allowed frequency variation. The voltage signal is used for frequency estimation because it is typically less distorted than the line current, resulting in computational efficiency. The robustness of this algorithm with respect to change in various parameters is studied through simulation and the results are validated by hardware implementation using a Virtex IV field-programmable gate array. An application of this algorithm to a shunt active power filter is also presented.

100 citations

Journal ArticleDOI
TL;DR: An intimate connection between the two formulations of Cartesian path integration is established by rewriting the Discretized formulation in a manifestly Fourier‐like way, which leads to improved understanding of both the limit behavior and the convergence properties of computational prescriptions based on the two formalisms.
Abstract: The relationship between so‐called Discretized and Fourier coefficient formulations of Cartesian path integration is examined. In particular, an intimate connection between the two is established by rewriting the Discretized formulation in a manifestly Fourier‐like way. This leads to improved understanding of both the limit behavior and the convergence properties of computational prescriptions based on the two formalisms. The performance of various prescriptions is compared with regard to calculation of on‐diagonal statistical density matrix elements for a number of prototypical 1‐d potentials. A consistent convergence order among these prescriptions is established.

100 citations

Journal ArticleDOI
TL;DR: In this paper, the authors performed the vibration analysis of the functionally graded carbon nanotube reinforced composites (FG-CNTRC) circular, annular and sector plates with arbitrary boundary conditions by means of the semi-analytical method.

100 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023270
2022702
2021511
2020510
2019589
2018580