• Journal of Power Electronics
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• 제16권6호
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• pp.2119-2128
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• 2016

Due to detection and control errors, some high-frequency harmonics with voltage-source characteristics cause circulating currents in modular inverters. Moreover, the circulating currents are usually affected by the output filters (OF) of each module due to their filter and resonance properties. The interaction among the circulating currents in the modules increase the power loss and reduce system stability and control precision. Therefore, this paper reports the results of a study on the SPWM high-frequency harmonics circulating currents for a double-module VSI. In the paper, an analysis of the circulating-current circuits is briefly described. Next, a mathematic model of the single-module output voltage based on the carrier frequency of SPWM is built. On this basis, through mathematic modeling of high-frequency harmonic circulating currents, the formation mechanism and distribution characteristics of circular currents and their influences are studied in detail. Finally, the influences of the OF on the circulating currents are studied by mainly taking an LC-type filter as an example. A theoretical analysis and experimental results demonstrate some important characteristics. First, the carrier phase shifting of the SPWM for each module is the major cause of the SPWM harmonic circulating currents, and the circulating currents are in an odd distribution around n-times the carrier frequency $n{\omega}_s$, where n = 1, 2, 3, ${\ldots}$. Second, the harmonic circular currents do not flow into the parallel system. Third, the OF can effectively suppress the non-circulating part of the high-frequency harmonic currents but is ineffective for the circulation part, and actually reduces system stability.

• 한국음향학회지
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• 제20권7호
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• pp.47-54
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• 2001

본 논문은 스펙트럴 크기 파라미터들에 대한 효율적인 가변 차원 양자화 기법을 제안한다. 특히, 하모닉 부호화 기에서의 스펙트럴 크기값 계수들은 가변차원이기 때문에 가변 차원의 양자화를 필요로 한다. 따라서, 본 논문에서는 스펙트럴 크기값 계수들에 대해 가변 이산 코사인 변환(DCT: Discrete Cosine Transform) 및 가변 차원에 적합한 훈련구조를 가지는 비정방형 변환 벡터 양자화 (NSTVQ: Nonsquare Transform Vector Quantization)를 홀수/짝수 구조 및 분할(Split) 구조 그리고 다단계(Multi-stage) 구조 등과 결합시킨 효율적인 양자화 기법을 제안한다. 제안된 양자화 기법의 성능평가는 스펙트럴의 크기값에 대한 주파수 왜곡(SD: Spectral Distortion) 값을 사용하였으며, 다단계 비정방형 변환 벡터 양자화(MSNSTVQ: Multi-Stage Nonsquare Transform Vector Quantization)가 가장 좋은 성능을 나타내었다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2003년도 하계학술대회 논문집 B
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• pp.1096-1098
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• 2003

In this paper, the control algorithm and control methods for a combined system of shunt passive filter and series active filter in 3-phase 4-wire system are discussed. Moreover, the 3-phase 4-wire system is widely employed in distributing electric energy to several office building and manufacturing plants. In such systems, the third harmonic and odd multiples of $3^{rd}$($9^{th}$, $15^{th}$, etc.) are termed as triple and zero sequence components that do not cancel each other in the system neutral. As a result, the triple harmonics add together creating a primary source of excessive neutral current. Regarding this concern, this paper presents a new control scheme for a series hybrid active system. This series active power filter acts not only as a harmonic compensator but also as a harmonic isolator. Hence the required rating of the series active filter is much smaller than that of a conventional shunt active filter. However, the performance of the combined system is greatly influenced by the filtering algorithm employed in the active power filter. This paper proposes a series active power filter scheme based on performance function. Some experiments was executed and experimental results from a prototype active power filter confirm the suitability of the proposed approach.

• 지구물리와물리탐사
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• 제2권4호
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• pp.180-183
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• 1999

도시화된 인구밀접지역과 인공잡음(예, 소음, 진동, 전력선 등)이 매우 심한 환경에서 양질의 탄성파 자료를 획득하기 위하여 기준점을 이용한 실험적 수준의 탄성파 측정시스템을 개발하였다. 소음과 전자파 잡음에 대한 상관측정(소음에 대한 상관측정의 센서는 마이크와 수진기 사용, 전자파에 대한 상관측정의 센서는 EM루프와 수진기 사용)을 각각 김포공항과 전라북도 김제시에서 수행하였으며, 또한 각 잡음의 측정 시계열에 대해 스펙트림 분석도 실시하였다. 소음에 의한 두 센서(마이크와 수진기)반응은 높은 상관성을 갖고 있으나, 두 센서 반응의 가장 큰 차이는 200Hz를 기준으로 저주파수 그리고 고주파수대역에서 일어나고 있다. 200Hz 이하의 주파수대역에서는 수진기를 통하여 측정한 잡음의 스펙트럴 에너지가 상대적으로 크고(예, 10Hz와 100Hz에서 각각 20dB 이상 큼) 200Hz 이상의 상대적인 고주파수에서는 마이크를 통하여 측정된 잡음의 수준이 높다(예, 500Hz에서 30dB 이상). 전체적으로 수진기를 통하여 측정된 잡음의 스팩트럴 파워는 주로 600Hz 이하에 집중되어 있는 반면에 마이크에 측정된 잡음의 파워는 주로 200Hz이상에서 분포하고 있다. 전력선 잡음을 가정하여 교류직류 인버터에서 발생한 전자파잡음에 대한 EM루프와 수진기를 통하여 측정한 전자파잡음은 각 센서에서 그 파형이 매우 일정하며, 또한 서로 간에 높은 상관성을 보였다. EM루프에 측정된 전자파잡음의 경우 60Hz에 대한 기수 조화주파수가 우수 조화주파수에 비하여 그 스펙트럴 에너지가 매우 크지만, 수진기의 경우는 그 차이가 거의 없었다.

• Macromolecular Research
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• 제12권6호
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• pp.581-585
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• 2004

A copolymer P[OSA-MI] was synthesized by copolymerization of its corresponding monomers, N-phenyl maleimide (MI) and 2-octen-l-ylsuccinic anhydride (OSA). The polymer (poly[2-[1-(2,5-dioxo-l-phenylpyrroli­din-3-ylmethyl)heptyl]-succinic acid 4-(2-$\{$ethyl-[4-(4-nitrophen-ylazo)phenyl]amino$\}$ethyl)ester]) P[DR1MA-MI] was obtained from the reaction of P[OSA-MI] with 2-[4-(4-nitrophenylazo)-N-ethylphenylamino] ethanol (DR1). A stable monolayer of P[DRIMA-MI] was formed by spreading the solution of the polymer in chloroform. In Y-type Langmuir-Blodgett (LB) films prepared using this Langmuir-Blodgett method, the second harmonic waves generated from adjacent mono layers canceled each other out. In X-and Z-type LB films, the second harmonic intensity increased upon increasing the number of monolayers, but this increase was somewhat smaller than predicted by the square law. This phenomenon is due to defects or imperfect alignment of the dipoles in the LB film. The generation of second harmonic waves from Y-type LB films having an even number of mono layers supports this argument. The degree of imperfection seemed to increase as the number of layers increased. The second-order nonlinear optical properties of spin-cast films of these polymers were also measured. The largest second harmonic coefficient of the poled P[DRIMA-MI] film coated on a glass plate was 19 pm/V.

• 전기학회논문지
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• 제58권4호
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• pp.679-687
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• 2009

In this paper, a subband filtering and adaptive prediction technique for analyzing harmonics in power systems is presented. In this method, the filter banks are designed to decompose odd and even order harmonics separately. The adaptive prediction has been employed reduce the transient and white noise effect in time varying harmonics detecting and tracking. The frequencies and amplitudes of the decomposed harmonics are estimated by recursive algorithm. To demonstrate the performances of the developed technique, computer simulations to the signal with the time-varying frequency and THD are carried out.

• 대한수학회보
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• 제40권1호
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• pp.109-122
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• 2003

In this paper we give a characterization of an irreducible connection with harmonic curvature over a connected Kaehler manifold to be self-dual. Also we introduce new notions of $c_{i}-self-dual$ or Kaehler Yang-Mills connections on compact Kaehler manifolds and investigate some fundamental properties of this kind of new connections. Moreover, on a compact odd dimensional Riemannian manifold we give a property of generalized monopole.

• Journal of Magnetics
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• 제3권4호
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• pp.120-122
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• 1998

The higher order harmonic components of magnetostriction during ac magnetization in 3% SiFe are measured as a function of the magnetizing angle respect to [001] axis using a constructed laser interferometry. The magnetostriction with magnetizing angle from [001] axis agrees ith the calculation based on domain reorientation. The relative amplitudes of odd and even harmonics respectively for magnetic induction and magnetostriction decrease with the order of harmonics, accompanying the contraction of the amplitudes. The contraction of harmonics order of magnetostriction harmonics is shown to be the even number times of that of magnetic induction.

• 호남수학학술지
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• 제40권3호
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• pp.549-559
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• 2018

In this paper, we consider the congruences involving harmonic numbers and the terms of the sequences {$U_{kn}$} and {$V_{kn}$}. For example, for an odd prime number p, $${\sum\limits_{i=1}^{p-1}}H_i{\frac{U_{k(i+m)}}{V^i_k}}{\equiv}{\frac{(-1)^kU_{k(m+1)}}{_pV^{p-1}_k}}(V^p_k-V_{kp})(mod\;p)$$, where $m{\in}{\mathbb{Z}}$ and $k{\in}{\mathbb{Z}}$ with $p{\nmid}V_k$.

• Nuclear Engineering and Technology
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• 제53권12호
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• pp.3861-3878
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• 2021

The steady-state simplified spherical harmonics equations (SP_N equations) are a higher order approximation to the neutron transport equations than the neutron diffusion equation that also have reasonable computational demands. This work extends these results for the analysis of transients by comparing of two formulations of time-dependent SP_N equations considering different treatments for the time derivatives of the field moments. The first is the full system of equations and the second is a diffusive approximation of these equations that neglects the time derivatives of the odd moments. The spatial discretization of these methodologies is made by using a high order finite element method. For the time discretization, a semi-implicit Euler method is used. Numerical results show that the diffusive formulation for the time-dependent simplified spherical harmonics equations does not present a relevant loss of accuracy while being more computationally efficient than the full system.