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Energy Reports, 2022 Nanocrystalline transformers have better electromagnetic properties than electrical steel transformers, such as lower losses. Nowadays, numerous nanocrystalline magnetic cores have served in the research work of high-frequency transformers, but there is ...
Zhenyu Cai +3 more
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The stieltjes transform of distributions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1979 In the present work, two complex inversion formulas of Byrne and Love for generalized Stieltjes transformation are shown to be valid for a class of distributions. This is accomplished by transfering the complex inversion formulas on the testing function space of a class of distributions and then showing that the limiting process in the resulting ...
U. N. Tiwari, J. N. Pandey
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Polynomial Distributions and Transformations
Mathematics, 2023 Polynomials are common algebraic structures, which are often used to approximate functions, such as probability distributions. This paper proposes to directly define polynomial distributions in order to describe stochastic properties of systems rather than to assume polynomials for only approximating known or empirically estimated distributions ...
Yue Yu, Pavel Loskot
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Journal of Engineering and Sustainable Development, 2022 This paper is concerned with calculating the electromagnetic forces in the windings of distribution transformers with different shapes of coils. The electromagnetic forces as well as the magnetic flux density and their distribution were analyzed and ...
Weeam J. Hussein, Kassim R. Hameed
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Energies, 2023 The objective of this paper was to analyze the impacts caused by the operation of voltage regulators in electrical distribution networks and to evidence the number of operations in the face of short-duration voltage variation caused by the high ...
Gustavo Fernandes de Negreiros +3 more
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Distributional Watson Transforms [PDF]
SIAM Journal on Mathematical Analysis, 1974 For all Watson transforms W in L2(R+) a triple of Hilbert space LG ⊂ L2(R+) ⊂ L'G is constructed such that W may be extended to L'G. These results allow the construction of a triple L ⊂ L2(R+) ⊂ L', where L is a Gelfand-Fréchet space. This leads to a theory of distributional Watson transforms.
Dijksma, A., de Snoo, H.S.V.
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A distributional Hardy transformation [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 1974 In this paper the classical Hardy transformation (5) has been extended to distributions. The celebrated Hankel transformation, Y-transformation and H-transformation are particular cases of the Hardy transformation. The Hankel transformation has been extended to distributions by Zemanian(12).
R. S. Pathak, J. N. Pandey
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IEEE Access, 2021 Different aggregation levels of the electric grid’s big data can be helpful to develop highly accurate deep learning models for Short-term Load Forecasting (STLF) in electrical networks.
Dabeeruddin Syed +6 more
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The Ridgelet transform of distributions [PDF]
Integral Transforms and Special Functions, 2013 We define and study the ridgelet transform of (Lizorkin) distributions. We establish connections with the Radon and wavelet transforms.
Kostadinova, Sanja +3 more
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Inventions, 2023 Load losses determine transformers’ efficiency and life, which are limited by overheating and deterioration of their elements. Since these losses can be characterized by short-circuit resistances, in this article, we have developed expressions for the ...
Vicente León-Martínez +3 more
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