• 제목/요약/키워드: Lambert W Function

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Lambert W 함수를 이용한 태양전지 모델링 (The solar cell modeling using Lambert W-function)

  • 배종국;강기환;김경수;유권종;안형근;한득영
    • 한국태양에너지학회:학술대회논문집
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    • 한국태양에너지학회 2011년도 추계학술발표대회 논문집
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    • pp.278-281
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    • 2011
  • This system can predict the maximum output about all illumination levels so that the PV system designer can design the system having the best efficiency. For the output prediction exact about the solar cell, that is the device the basis most in the PV system, the basis has to be in order to try this way. The solution based on Lambert W-function are presented to express the transcendental current-voltage characteristic containing parasitic power consuming parameters like series and shunt resistances. A simple and efficient method for the extraction of a single current-voltage (I-V) curve under the constant illumination level is proposed. With the help of the Lambert W function, the explicit analytic expression for I is obtained. And the explicit analytic expression for V is obtained. This analytic expression is directly used to fit the experimental data and extract the device parameters. The I-V curve of the solar cell was expressed through the modeling using Lambert W-function and the numerical formula where there is the difficulty could be logarithmically expressed This method expresses with the I-V curve through the modeling using Lambert W-function which adds other loss ingredients to the equation2 as to the research afterward. And the solar cell goes as small and this I-V curve can predict the power penalty in the system unit.

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램버트 W 함수를 사용한 라플라스 신호의 최소 평균제곱오차 양자화 (The Lambert W Function in the Design of Minimum Mean Square-Error Quantizers for a Laplacian Source)

  • 송현정;나상신
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2001년도 하계종합학술대회 논문집(1)
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    • pp.333-336
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    • 2001
  • This paper reports that the Lambert W function applies to a non-iterative design of minimum mean square-error scalar quantizers for a Laplacian source. The contribution of the paper is in the reduction of the time needed for the design and the increased accuracy in resulting quantization points and thresholds, because the algorithm is non-iterative and the Lambert W function can be evaluated as accurately as desired.

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시간지연을 갖는 특이 섭동 시스템에서 H놈과 램버트 W 함수를 이용한 안정화 제어기 설계 (Stabilizing Controller Design for Time-delay Singularly Perturbed Systems by H Norm and Lambert W Function)

  • 김범수
    • 전기학회논문지
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    • 제62권8호
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    • pp.1144-1150
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    • 2013
  • The stabilizing controller design problem of time-delay singularly perturbed systems is considered. The proposed approach is based on the $H_{\infty}$ norm and the composite control method. A sufficient condition for the stability of the time-delay slow subsystem is presented. Using this condition, we can construct the composite control law for the time-delay singularly perturbed system and analysis the system by the matrix Lambert W function. Illustrated examples are presented to demonstrate the validity and applicability of the proposed method.

램버트 W 함수를 이용한 시간지연 순수 특이 섭동 시스템 안정화 제어기 설계 (Stabilizing Controller Design for Time-Delay Pure Singularly Perturbed Systems via Lambert W Function)

  • 김범수;안수환
    • 동력기계공학회지
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    • 제18권1호
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    • pp.120-127
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    • 2014
  • In this study, Design methods of stabilizing controller for time-delay pure singularly perturbed systems are proposed. Based on the Chang transformation and Lambert W function, we decompose the time-delayed pure singularly perturbed systems into completely decoupled subsystems and derive sufficient stability conditions for $2{\times}2$ time-delayed pure singularly perturbed systems. An illustrated example is presented to demonstrate the validity and applicability of the proposed methods.

램버트 W 함수를 사용한 라플라스 신호의 최소 평균제곱오차 양자화 (The Lambert W Function in the Design of Minimum Mean Square-Error Quantizers for a Laplacian Source)

  • 송현정;나상신
    • 한국통신학회논문지
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    • 제27권6A호
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    • pp.524-532
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    • 2002
  • 이 논문은, 램버트 W 함수가 라플라스 신호원에 대한 최적 (최소평균제곱오차) 양자기의 비반복적 설계에 이용될 수 있다는 사실을 보고한다. 구체적으로, 라플라스 신호원에 최적인 양자기의 비반복적 설계법을 고찰하며, 설계에 필수적인 비선형 방정식의 점화식의 풀이가 램버트 W 함수를 사용한 닫힌 식으로 표현된다는 것을 발견하였고, 또 이 논문에서는 이 설계법이 지수함수 형태나 라플라스 확률밀도함수 형태를 갖는 신호원에만 적용된다는 것을 증명하였다. 이 논문의 기여점은, 양자기의 설계가 비반복적이며, 원하는 만큼의 정확도로 설계되기 때문에 설계에 필요한 계산 회수가 감소되고, 양자점과 경계값을 구하는데 있어 높은 정확도를 갖는다는 점이다. 또한, 수치결과를 통하여 최적 양자 왜곡이 팬터-다잇 상수에 단조 증기적으로 수렴하는 과정을 관찰하였으며, 최적 양자기의 최외곽 경계값인 중요변수의 근사식을 유도하였다.

태양광 시스템의 최대 전력지점 추적(MPPT) 정확도 향상을 위한 모델링 (Improved Model for Maximum Power Point Tracking (MPPT) of Solar System)

  • 이영현;이종환
    • 반도체디스플레이기술학회지
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    • 제21권1호
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    • pp.114-118
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    • 2022
  • The photovoltaic system is affected by various conditions such as temperature and irradiance. Because non-uniform irradiation and partial shading conditions affect the entire string of cells connected in series, a bypass diode is used to bypass the current flow normally. In order to find the maximum power point in partial shade conditions, it is necessary to estimate various methods of maximum power point tracking. In this paper, the hybrid method of MPPT using Lambert W function and perturbation & observation algorithm is proposed under partial shading conditions. The simulation results are obtained using MATLAB/Simulink and shows the improvement of the accuracy of MPPT.

Massive MIMO WPCN에서 에너지 효율 향상을 위한 안테나 수 최적화 기법 (Optimization of the Number of Antennas for Energy Efficiency in Massive MIMO WPCN)

  • 한용규;심동규;이충용
    • 전자공학회논문지
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    • 제52권3호
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    • pp.19-24
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    • 2015
  • 본 논문에서는 massive multiple-input multiple-output (MIMO) 기반의 wireless powered communication network (WPCN)에서 에너지 효율을 향상시키기 위한 기지국 안테나 수 최적화 기법을 제안한다. 제안하는 기법은 massive MIMO 시스템의 채널 hardening 특성을 이용하여 채널 이득을 안테나 수에 대한 식으로 근사한다. 그리고 근사화 된 최적화 문제에 편미분을 적용한 후 Lambert-W 함수를 이용하여 최적해를 closed form으로 찾는다. 모의실험을 통해 제안하는 기법의 근사 과정과 최적화 문제를 해결하는 방법이 적절함을 보이고, closed form 해가 exhaustive search 방법으로 찾은 해와 오차가 크지 않음을 확인한다.

Numerical Analysis of Si-based Photovoltaic Modules with Different Interconnection Methods

  • Park, Chihong;Yoon, Nari;Min, Yong-Ki;Ko, Jae-Woo;Lim, Jong-Rok;Jang, Dong-Sik;Ahn, Jae-Hyun;Ahn, Hyungkeun
    • Transactions on Electrical and Electronic Materials
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    • 제15권2호
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    • pp.103-111
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    • 2014
  • This paper investigates the output powers of PV modules by predicting three unknown parameters: reverse saturation current, and series and shunt resistances. A theoretical model using the non-uniform physical parameters of solar cells, including the temperature coefficients, voltage, current, series and shunt resistances, is proposed to obtain the I-V characteristics of PV modules. The solar irradiation effect is included in the model to improve the accuracy of the output power. Analytical and Newton methods are implemented in MATLAB to calculate a module output. Experimental data of the non-uniform solar cells for both serial and parallel connections are used to extend the implementation of the model based on the I-V equation of the equivalent circuit of the cells and to extend the application of the model to m by n modules configuration. Moreover, the theoretical model incorporates, for the first time, the variations of series and shunt resistances, reverse saturation current and irradiation for easy implementation in real power generation. Finally, this model can be useful in predicting the degradation of a PV system because of evaluating the variations of series and shunt resistances, which are critical in the reliability analysis of PV power generation.