scholarly journals ASYNCHRONOUS MOTOR DRIVE INTERHARMONICS CALCULATION BASED ON GENERALIZED FOURIER SERIES OF SEVERAL VARIABLES

2020 ◽  
Vol 2020 (2) ◽  
pp. 36-42
Author(s):  
I.V. Verbytskyi ◽  
◽  
V.J. Zhuikov ◽  
Keyword(s):  
Fourier Series ◽  
Asynchronous Motor ◽  
Motor Drive ◽  
Generalized Fourier Series ◽  
Several Variables

A Neuro-Fuzzy Controller for Doubly FED Asynchronous Motor Drive

2010 ◽  
Vol 4 (1) ◽  
pp. 8-15
Author(s):  
Azeddine Chaiba ◽  
◽  
Rachid Abdessemed ◽  
M. Lokmen Bendaas ◽  
◽  
...  
Keyword(s):  
Fuzzy Controller ◽  
Asynchronous Motor ◽  
Motor Drive ◽  
Neuro Fuzzy ◽  
Doubly Fed

Errata: On Fourier Series In Several Variables

1949 ◽  
Vol 50 (1) ◽  
pp. 246
Author(s):  
K. Chandrasekharan
Keyword(s):  
Fourier Series ◽  
Several Variables

Modeling the Quasigeoid Heights on Local Areas of the Earth Surface by the Results of Expansion into a Generalized Fourier Series

2020 ◽  
Vol 28 (4) ◽  
pp. 82-94
Author(s):  
V.F. Kanushin ◽  
◽  
I.G. Ganagina ◽  
D.N. Goldobin ◽  
◽  
...  
Keyword(s):  
Fourier Series ◽  
Orthonormal System ◽  
Local Area ◽  
Spherical Functions ◽  
Trigonometric Functions ◽  
Computing Technology ◽  
Generalized Fourier Series ◽  
The Earth ◽  
Local Areas ◽  
Discrete Values

The article presents two methods of modeling discrete heights of a quasigeoid on a local area of the earth’s surface using a gen-eralized Fourier series. The first method is based on modeling the characteristics of the earth’s gravitational field on a plane and involves the use of a two-dimensional Fourier transform by an orthonormal system of trigonometric functions. The second method consists in the expansion of the quasigeoid heights in a Fourier series by an orthonormal system of spherical functions on a local area of the earth’s surface. The errors of approxima-tion of the obtained discrete values of the quasigeoid heights on the local territory are analyzed. It is shown that with the modern computing technology, the most accurate and technologically simple way to model the quasigeoid heights on local areas is to expand them into a Fourier series by an orthonormal system of spherical functions.

Stability of the neutral equilibrium of columns with a rotational end restraint by the generalized Fourier series

2019 ◽  
Vol 25 (4) ◽  
pp. 961-967
Author(s):  
Yan-Ping Zhao ◽  
Lin Li ◽  
Ming Jin
Keyword(s):  
Fourier Series ◽  
Potential Energy ◽  
Energy Functional ◽  
Buckling Mode ◽  
Generalized Fourier Series ◽  
Order Variation ◽  
Neutral Equilibrium ◽  
Post Buckling ◽  
The Stability ◽  
End Restraint

In this paper, stability of the neutral equilibrium and initial post-buckling of a column with a rotational end restraint is analyzed based on Koiter initial post-buckling theory. The potential energy functional is written in terms of the angle. By the generalized Fourier series of the disturbance angle, it is proved that the second-order variation of the potential energy is semi-positive definite at the neutral equilibrium. The stability of the neutral equilibrium is determined by the sign of the fourth-order variation for the buckling mode. For all values of the stiffness of the rotational end restraint, the neutral equilibrium is stable and the bifurcation equilibrium is upward in the initial post-buckling.

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