• 호남수학학술지
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• 제25권1호
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• pp.163-172
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• 2003

In this paper we study the property of harmonic vector fields. We call a vector fields ${\xi}$ harmonic if it is a harmonic map from the manifold into its tangent bundle with the Sasaki metric. We show that the characteristic polynomial of operator $A={\nabla}{\xi}\;in\;S^{2n+1}\;is\;(x^2+1)^n$.

• 대한수학회지
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• 제55권6호
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• pp.1321-1336
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• 2018

In this paper, we obtain some necessary and sufficient conditions for the Reeb vector field of a trans-Sasakian 3-manifold to be minimal or harmonic. We construct some examples to illustrate main results. As applications of the above results, we obtain some new characteristic conditions under which a compact trans-Sasakian 3-manifold is homothetic to either a Sasakian or cosymplectic 3-manifold.

• 대한전기학회논문지:전기기기및에너지변환시스템부문B
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• 제52권7호
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• pp.352-360
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• 2003

This paper deals with a simple method in order to analyze and compare the harmonic characteristics in the multi-level inverter. Generally, the magnitude of harmonic components becomes different according to the multi-carrier Pulse Width Modulation(PWM) techniques, the modulation index($M_i$) and the switching frequency The previous papers analyzed the harmonic characteristics from the viewpoint of the space voltage vector. Hence, the calculation of the harmonic vector becomes more difficult and complex in 4-level or over 5-level. However, the proposed method has reduced an amount of calculation and simplified the process of it, using the relationship between the reference voltage and the output phase voltage to the load neutral point. It is applied to the 5-level cascade inverter and the harmonic characteristics for each multi-carrier PWM technique are compared through the simulation.

• Journal of the Optical Society of Korea
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• 제20권1호
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• pp.135-139
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• 2016

I propose a vector passive harmonic mode-locked fiber laser based on topological insulator Bi2Se3 interacting with a fiber taper with a diameter of 7 μm. The particles of topological insulator are deposited uniformly onto the fiber taper with light pressure effect. By incorporating the fabricated saturable absorber into an Er-doped fiber laser cavity, stable mode-locked fiber is obtained. Due to the intense evanescent field of the fiber taper, strong confinement of light enhances the nonlinearity of the laser cavity, and passive harmonic mode-locking is performed. I observe a maximum harmonic mode-locking of 356th, corresponding to a frequency of 3.57 GHz. The pulse duration is 824 fs, and the full width at half maximum of the spectrum is about 8.2 nm. The polarization dependent loss of the saturable absorber is ~ 2.5 dB in the wavelength range of the C band. As the cavity contains no other polarization dependent device, the mode-locked laser is functioning in the vector state. The harmonic order vs pump power is investigated. To the best of our knowledge, this report is the highest frequency mode-locked fiber laser based on Bi2Se3. Experimental results indicate that the topological insulator Bi2Se3 functioning with a thin fiber taper is effective for vector harmonic mode-locking.

• Journal of international Conference on Electrical Machines and Systems
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• 제2권3호
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• pp.288-294
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• 2013

This paper introduces a novel method of on-line identifying the stator resistance and leakage inductance of dual three phase induction motor (DTPIM). According to the machine mathematical model, the stator resistance and leakage inductance can be estimated using the voltage and current values in harmonic subspace. Thus a method of voltage vector injection in harmonic subspace (VVIHS) is proposed, which causes currents in harmonic space. Then the errors between command and actual harmonic currents are utilized to regulate the machine parameters, including stator resistance and leakage inductance. The principle is presented and analyzed in detail. Experimental results prove the feasibility and validity of proposed method.

• 한국음향학회지
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• 제19권3호
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• pp.26-34
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• 2000

본 논문에서는 선형예측 잔여신호에 대한 하모닉 벡터 여기 코딩에, 시간 대역 분리 혼합 코딩을 결합한 4kbps 음성코더를 제안한다. 하모닉 벡터 여기 코딩은 유성음 구간에서 하모닉 여기 코딩을 사용하며, 무성음 구간에 대해서는 분석-합성 구조의 벡터 여기 코딩을 사용한다. 그러나, 이러한 양단 모드 코딩 방법은 유성음과 무성음이 혼재하는 전이 구간에서는 비효과적이므로, 유/무성음 모드 코딩 이외의 새로운 방법이 요구된다. 이에, 전이 구간을 위한 시간 분리 전이 코딩을 설계하였으며, 여기서, 유/무성음 결정 알고리즘은 단위 구간 내의 유성음과 무성음의 존속기간을 결정하고, 이전 구간의 유/무성음 결정에 따라 하모닉-하모닉 코딩과 벡터-하모닉 코딩을 선택적으로 사용한다. 복호화기에서는 하모닉 크기값들의 IFFT 과정을 통해 유성음 여기신호가 효과적으로 합성되며, 무성음 여기신호는 역 벡터 양자화를 통해 만들어진다. 재 복원된 음성 신호는 중첩합산 방법에 의해 합성된다.

• 대한전기학회논문지:전기기기및에너지변환시스템부문B
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• 제48권2호
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• pp.75-82
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• 1999

A compensation method of the motor parameters using zero sequence third harmonic voltage is presented for the speed sensorless vector control of the induction motor considering saturation of the flux. Generally, the air-gap flux of the saturated induction motor contains the space harmonic components rotating with the synchronous frequency of the motor. Because the EMF of the saturated induction motor contains the zero sequence harmonic voltages at the neutral point of the motor, those harmonic voltages can be used as a saturation index. In this work, the rotor flux observer is firstly designed for the speed sensorless vector control of induction motor. And a novel measurement method of the space harmonic voltage and a compensation method of th LPF(Low Pass Filter) are proposed. For compensating the non-linear variations of the magnetizing inductance depending on the saturation level of the motor, the dominant third harmonic voltage of the motor is used as a saturation function of the air-gap flux. And the variation of the stator resistance owing to the motor temperature can also be measured with the phase angle between the impressed voltage vector and the zero sequence voltage. The validity of the proposed parameter compensation scheme in the speed sensorless vector control using rotor flux observer is verified by the result of the simulations and the experiments.

• Journal of Power Electronics
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• 제10권3호
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• pp.277-284
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• 2010

This paper presents a novel hybrid carrier based space vector modulation for cascaded multilevel inverters. The proposed technique inherits the properties of carrier based space vector modulation and the fundamental frequency modulation strategy. The main characteristic of this modulation are the reduction of power loss, and improved harmonic performance. The carrier based space vector modulation algorithm is implemented with a TMS320F2407 digital signal processor. A Xilinx Complex Programmable Logic Device is used to develop the hybrid PWM control algorithm and it is integrated with a digital signal processor for hybrid carrier based space vector PWM generation. The inverter offers less weighted total harmonic distortion and it operates with equal electrostatic and electromagnetic stress among the power devices. The feasibility of the proposed technique is verified by spectral analysis, simulation, and experimental results.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1993년도 정기총회 및 추계학술대회 논문집 학회본부
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• pp.97-99
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• 1993

A direct vector control for induction machine based on determination of the spatial position of the airgap flux from the third harmonic component of the stator phase voltage is presented in this Paper. The relationship between the airgap fundamental flux component and the third harmonic flux component obtained from the stator third harmonic voltage is presented at the end of this paper.

• 한국음향학회지
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• 제23권5호
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• pp.420-427
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• 2004

본 논문에서는 선형예측 잔여신호에 대한 하모닉 벡터 여기 코딩과 시간 대역 분리 혼합 코딩을 결합한 4kbps EHSX (Enhanced Harmonic Stochastic Excitation) 음성부호화기 실시간 구현한 내용을 기술한다. 유성음 구간에서는 하모닉 여기 코딩에 무성음 구간에 대해서는 분석-합성 구조의 벡터 여기 코딩을 사용하였으며, 유/무성음이 혼재하는 전이구간에서는 시간 분리 전이 코딩을 사용하였다. 이 음성부호화기 구현을 위해 부동소수점과 고정소수점을 모두 지원하는 DSP인 TMS320C6701을 사용하였고, 연산량을 줄이기 위해 IFFT를 사용한 저 복잡도 정현파 합성법을 사용하여 알고리즘의 최적화를 이루었으며, 복잡도의 문제가 되는 부분을 고정소수점으로 변환한 후 파이프라인을 적용한 핸드 어셈블리 코딩을 하여 구현에서의 최적화를 이루었다. 또한, 메모리의 효율성을 극대화하기 위해 캐쉬 메모리 할당과 데이터를 내부 메모리에 할당하였고 수학 연산의 최적화를 위해 FastRTS67x 라이브러리를 사용하였다. 개발 환경은 DSP EVM 보드를 사용하였으며 음성 신호의 입·출력 확인으로 동작 및 기능을 검증하여 실시간 구현하였다.