• Title/Summary/Keyword: harmonic function

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A Study on the Optimum Design of Soltless Type PMLSM Using Genetic Algorithm and 3-D Space Harmonic Method (유전 알고리즘과 3차원 공간고조파법을 이용한 Soltless Type PMLSM의 최적설계에 관한 연구)

  • 이동엽;김규탁
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.53 no.8
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    • pp.463-468
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    • 2004
  • This paper was applied space harmonic method as a characteristic analysis technique for slotless PMLSM. There is advantages of active response to the change of design parameters as well as reduction of the calculation time. The method can be overcome disadvantages of finite element analysis that needs long times calculation, repetitions of pre and post-process. In this paper, 3D-space harmonic method was applied to consider the precise description of end turn coil shape and the changes of characteristic according to changes of length of z-axis direction. The thrust of optimal design was performed using genetic algorithm to enhance the thrust which is the disadvantage of slotless type PMLSM. For design parameters, width of permanent magnet, width of coil, width of coil inner and lengths of z-axis direction were selected. For objective functions. thrust per weight. thrust per volume. multi-objective function was selected.

A Study of Control Algorithm For Series Active Power Filter Using Performance Function (성능함수를 이용한 직렬형 능동전력필터의 제어알고리즘에 관한 연구)

  • Ko Soo-Hyun;Kim Jin-Sun;Kim Young-Seok
    • Proceedings of the KIPE Conference
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    • 2002.11a
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    • pp.199-202
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    • 2002
  • This paper suggests the control algorithm of a 3-phase 3-wire series active power filters which have harmonic voltage source and harmonic current source This suggested control algorithm can compensate harmonics which are generated by nonlinear load such as diode or thyristor converter and reactive power in 3-phase 3-wire power distribution system This control algorithm extracts a compensation voltage reference from performance function without phase transformation Therefore this control algorithm is simpler than any other conventional control algorithm. 3-phase 3-wire series active power filter and hybrid active power filter is manufactured and experiments are carried out for harmonic voltage source and harmonic current source to verify the effectiveness of presented control algorithm Experimental results are presented in this Paper, as well.

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MONOTONICITY CRITERION AND FUNCTIONAL INEQUALITIES FOR SOME q-SPECIAL FUNCTIONS

  • Mehrez, Khaled
    • Journal of the Korean Mathematical Society
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    • v.58 no.1
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    • pp.133-147
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    • 2021
  • Our aim in this paper is to derive several new monotonicity properties and functional inequalities of some functions involving the q-gamma, q-digamma and q-polygamma functions. More precisely, some classes of functions involving the q-gamma function are proved to be logarithmically completely monotonic and a class of functions involving the q-digamma function is showed to be completely monotonic. As applications of these, we offer upper and lower bounds for this special functions and new sharp upper and lower bounds for the q-analogue harmonic number harmonic are derived. Moreover, a number of two-sided exponential bounding inequalities are given for the q-digamma function and two-sided exponential bounding inequalities are then obtained for the q-tetragamma function.

HARMONIC MAPPINGS RELATED TO FUNCTIONS WITH BOUNDED BOUNDARY ROTATION AND NORM OF THE PRE-SCHWARZIAN DERIVATIVE

  • Kanas, Stanis lawa;Klimek-Smet, Dominika
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.803-812
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    • 2014
  • Let ${\mathcal{S}}^0_{\mathcal{H}}$ be the class of normalized univalent harmonic mappings in the unit disk. A subclass ${\mathcal{V}}^{\mathcal{H}}(k)$ of ${\mathcal{S}}^0_{\mathcal{H}}$, whose analytic part is function with bounded boundary rotation, is introduced. Some bounds for functionals, specially harmonic pre-Schwarzian derivative, described in ${\mathcal{V}}^{\mathcal{H}}(k)$ are given.

THE ATOMIC DECOMPOSITION OF HARMONIC BERGMAN FUNCTIONS, DUALITIES AND TOEPLITZ OPERATORS

  • Lee, Young-Joo
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.2
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    • pp.263-279
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    • 2009
  • On the setting of the unit ball of ${\mathbb{R}}^n$, we consider a Banach space of harmonic functions motivated by the atomic decomposition in the sense of Coifman and Rochberg [5]. First we identify its dual (resp. predual) space with certain harmonic function space of (resp. vanishing) logarithmic growth. Then we describe these spaces in terms of boundedness and compactness of certain Toeplitz operators.

Partial Sums of Starlike Harmonic Univalent Functions

  • Porwal, Saurabh;Dixit, Kaushal Kishore
    • Kyungpook Mathematical Journal
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    • v.50 no.3
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    • pp.433-445
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    • 2010
  • Although, interesting properties on the partial sums of analytic univalent functions have been investigated extensively by several researchers, yet analogous results on partial sums of harmonic univalent functions have not been so far explored. The main purpose of the present paper is to establish some new and interesting results on the ratio of starlike harmonic univalent function to its sequences of partial sums.

BERGMAN SPACES, BLOCH SPACES AND INTEGRAL MEANS OF p-HARMONIC FUNCTIONS

  • Fu, Xi;Qiao, Jinjing
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.2
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    • pp.481-495
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    • 2021
  • In this paper, we investigate the properties of Bergman spaces, Bloch spaces and integral means of p-harmonic functions on the unit ball in ℝn. Firstly, we offer some Lipschitz-type and double integral characterizations for Bergman space ��kγ. Secondly, we characterize Bloch space ��αω in terms of weighted Lipschitz conditions and BMO functions. Finally, a Hardy-Littlewood type theorem for integral means of p-harmonic functions is established.

ON THE ANALYTIC PART OF HARMONIC UNIVALENT FUNCTIONS

  • FRASIN BASEM AREF
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.563-569
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    • 2005
  • In [2], Jahangiri studied the harmonic starlike functions of order $\alpha$, and he defined the class T$_{H}$($\alpha$) consisting of functions J = h + $\bar{g}$ where hand g are the analytic and the co-analytic part of the function f, respectively. In this paper, we introduce the class T$_{H}$($\alpha$, $\beta$) of analytic functions and prove various coefficient inequalities, growth and distortion theorems, radius of convexity for the function h, if the function J belongs to the classes T$_{H}$($\alpha$) and T$_{H}$($\alpha$, $\beta$).