• 제목/요약/키워드: weighted least squares

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New Adaptive Linear Combination Structure for Tracking/Estimating Phasor and Frequency of Power System

  • Wattanasakpubal, Choowong;Bunyagul, Teratum
    • Journal of Electrical Engineering and Technology
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    • 제5권1호
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    • pp.28-35
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    • 2010
  • This paper presents new Adaptive Linear Combination Structure (ADALINE) for tracking/estimating voltage-current phasor and frequency of power system. To estimate the phasors and frequency from sampled data, the algorithm assumes that orthogonal coefficients and speed of angular frequency of power system are unknown parameters. With adequate sampled data, the estimation problem can be considered as a linear weighted least squares (LMS) problem. In addition to determining the phasors (orthogonal coefficients), the procedure estimates the power system frequency. The main algorithm is verified through a computer simulation and data from field. The proposed algorithm is tested with transient and dynamic behaviors during power swing, a step change of frequency upon islanding of small generators and disconnection of load. The algorithm shows a very high accuracy, robustness, fast response time and adaptive performance over a wide range of frequency, from 10 to 2000 Hz.

병렬 PSO 알고리즘을 이용한 전력계통의 상태추정 (Power System State Estimation Using Parallel PSO Algorithm)

  • 정희명;박준호;이화석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 제38회 하계학술대회
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    • pp.425-426
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    • 2007
  • In power systems operation, state estimation takes an important role in security control. For the state estimation problem, conventional optimization algorithm, such as weighted least squares (WLS) method, has been widely used. But these algorithms have disadvantages of converging local optimal solution. In these days, a modern heuristic optimization methods such as Particle Swarm Optimization (PSO), are introducing to overcome the problems of classical optimization. In this paper, we suggested parallel particle swarm optimization (PPSO) to search an optimal solution of state estimation in power systems. To show the usefulness of the proposed method over the conventional PSO, proposed method is applied on the IEEE-57 bus system.

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해석적 사진측정에 있어서 경중률을 고려한 표정해석에 관한 연구

  • 안철호;유복모;염재홍
    • 한국측량학회지
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    • 제1권2호
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    • pp.16-22
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    • 1983
  • 공학의 여러 분야에 있어서 잉여측정값은 최소제곱법으로 조정할 경우 관측값의 경중률을 고려하여 정도를 높일 수 있다. 본 논문에서는 스트림좌표를 Sequential 방법으로 형성하고 상호표정시 나타나는 회전각 $\kappa,\varphi,\omega$의 크기에 반비례하여 각 모델에 경중률을 부여하였다. 이 경우 경중률을 고려한 절대표정의 결과에 관하여 경중률을 고려하지 않은 경우와 비교분석 하였으며 절대표정에 어떠한 영향을 미치는가를 고찰하였다.

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단일지표모형에서 계수 추정방법의 비교 (A comparison on coefficient estimation methods in single index models)

  • 최영웅;강기훈
    • Journal of the Korean Data and Information Science Society
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    • 제21권6호
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    • pp.1171-1180
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    • 2010
  • 회귀함수의 비모수적 적합에서 공변량의 차원이 증가함에 따라 추정량의 극한성질이 좋지 않음이 잘 알려져 있다. 이러한 문제점을 극복하기 위한 방법중의 하나는 단일지표모형의 추정을 이용하여 공변량의 차원을 1차원으로 줄이는 것이다. 단일지표모형에서 계수 추정 방법으로는 반복적으로 해를 계산하여 근사치를 구하는 방법인 준모수적 최소제곱법과 비반복적으로 계산하여 구하는 도함수 가중평균법이 있다. 두 추정 방법 모두 모수적인 방법과 같은 수렴비율로 정규근사한다고 알려져 있지만 실질적인 성능에 관한 비교는 이루어지지 않았다. 본 논문에서는 모의실험을 통해 두 방법에 의한 추정치의 분산을 비교하여 어떠한 방법이 좋은지를 파악하고자 한다.

GWR을 활용한 NDVI와 지형·태양광도의 상관성 평가 : 금강산 지역을 사례로 (Exploring NDVI Gradient Varying Across Landform and Solar Intensity using GWR: a Case Study of Mt. Geumgang in North Korea)

  • 김준우;엄정섭
    • 대한공간정보학회지
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    • 제21권4호
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    • pp.73-81
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    • 2013
  • 식생의 분포와 지형 태양광도의 상관성을 규명하는 것은 공간적 이질성을 내포하는 공간데이터의 분석이지만 기존의 많은 선형모델들은 이들 데이터가 갖는 공간적 특성을 고려하지 못하고 있다. 이러한 문제점을 극복하기 위해 금강산을 대상으로 식생분포를 정량적으로 나타내는 NDVI(Normalized Difference Vegetation Index)와 일사량, 일조시간, 고도, 경사에 대하여 지리가중회귀분석(GWR : Geographically Weighted Regression)을 실시하였다. GWR 은 전역적 모형인 OLS(Ordinary Least Squares)에 비해 모형의 설명력과 적합성이 확연히 높아졌으며, 잔차의 공간적 자기상관성 또한 해소된 것으로 나타났다. OLS 분석결과는 NDVI에 미치는 지형 태양광도의 영향력을 연구지역에서 단일하게 추정하였으나, GWR은 각 인자가 NDVI에 미치는 영향력을 국지적으로 보다 세밀하게 추정하여 공간단위에 따른 각 인자의 영향력을 보다 확연히 나타내었다. 국지적 차원에서 추정된 NDVI와 지형 태양광도의 상관성은 식생분포를 조사하는 과정에서 보다 객관적이고 세밀한 분석을 위한 중요한 참고자료로 사용될 수 있을 것이다.

Improvement of Fat Suppression and Artifact Reduction Using IDEAL Technique in Head and Neck MRI at 3T

  • Hong, Jin Ho;Lee, Ha Young;Kang, Young Hye;Lim, Myung Kwan;Kim, Yeo Ju;Cho, Soon Gu;Kim, Mi Young
    • Investigative Magnetic Resonance Imaging
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    • 제20권1호
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    • pp.44-52
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    • 2016
  • Purpose: To quantitatively and qualitatively compare fat-suppressed MRI quality using iterative decomposition of water and fat with echo asymmetry and least-squares estimation (IDEAL) with that using frequency selective fat-suppression (FSFS) T2- and postcontrast T1-weighted fast spin-echo images of the head and neck at 3T. Materials and Methods: The study was approved by our Institutional Review Board. Prospective MR image analysis was performed in 36 individuals at a single-center. Axial fat suppressed T2- and postcontrast T1-weighted images with IDEAL and FSFS were compared. Visual assessment was performed by two independent readers with respect to; 1) metallic artifacts around oral cavity, 2) susceptibility artifacts around upper airway, paranasal sinus, and head-neck junction, 3) homogeneity of fat suppression, 4) image sharpness, 5) tissue contrast of pathologies and lymph nodes. The signal-to-noise ratios (SNR) for each image sequence were assessed. Results: Both IDEAL fat suppressed T2- and T1-weighted images significantly reduced artifacts around airway, paranasal sinus, and head-neck junction, and significantly improved homogeneous fat suppression in compared to those using FSFS (P < 0.05 for all). IDEAL significantly decreased artifacts around oral cavity on T2-weighted images (P < 0.05, respectively) and improved sharpness, lesion-to-tissue, and lymph node-to-tissue contrast on T1-weighted images (P < 0.05 for all). The mean SNRs were significantly improved on both T1- and T2-weighted IDEAL images (P < 0.05 for all). Conclusion: IDEAL technique improves image quality in the head and neck by reducing artifacts with homogeneous fat suppression, while maintaining a high SNR.

A Substation-Oriented Approach to Optimal Phasor Measurement Units Placement

  • Bao, Wei;Guo, Rui-Peng;Han, Zhen-Xiang;Chen, Li-Yue;Lu, Min
    • Journal of Electrical Engineering and Technology
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    • 제10권1호
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    • pp.18-29
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    • 2015
  • State Estimation (SE) is the basis of a variety of advanced applications used in most modern power systems. An SE problem formed with enough phasor measurement units (PMUs) data is simply a linear weighted least squares problem requiring no iterations. Thus, designing a minimum-cost placement of PMUs that guarantees observability of a power system becomes a worthy challenge. This paper proposes an equivalent integer linear programming method for substation-oriented optimal PMU placement (SOOPP). The proposed method uses an exhaustive search to determine a globally optimal solution representing the best PMU placement for that particular power system. To obtain a more comprehensive model, contingencies and the limitation of the number of PMU measurement channels are considered and embodied in the model as changes to the original constraints and as additional constraints. The proposed method is examined for applicability using the IEEE 14-bus, 118-bus and 300-bus test systems. The comparison between SOOPP results and results obtained by other methods reveals the excellence of SOOPP. Furthermore, practical large-scale power systems are also successfully analyzed using SOOPP.

Development, Demonstration and Validation of the Deep Space Orbit Determination Software Using Lunar Prospector Tracking Data

  • Lee, Eunji;Kim, Youngkwang;Kim, Minsik;Park, Sang-Young
    • Journal of Astronomy and Space Sciences
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    • 제34권3호
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    • pp.213-223
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    • 2017
  • The deep space orbit determination software (DSODS) is a part of a flight dynamic subsystem (FDS) for the Korean Pathfinder Lunar Orbiter (KPLO), a lunar exploration mission expected to launch after 2018. The DSODS consists of several sub modules, of which the orbit determination (OD) module employs a weighted least squares algorithm for estimating the parameters related to the motion and the tracking system of the spacecraft, and subroutines for performance improvement and detailed analysis of the orbit solution. In this research, DSODS is demonstrated and validated at lunar orbit at an altitude of 100 km using actual Lunar Prospector tracking data. A set of a priori states are generated, and the robustness of DSODS to the a priori error is confirmed by the NASA planetary data system (PDS) orbit solutions. Furthermore, the accuracy of the orbit solutions is determined by solution comparison and overlap analysis as about tens of meters. Through these analyses, the ability of the DSODS to provide proper orbit solutions for the KPLO are proved.

RRAIM 기법을 활용한 다중 가설 사용자 무결성 감시 알고리듬 (Multiple-Hypothesis RAIM Algorithm with an RRAIM Concept)

  • 윤호;기창돈
    • 한국항행학회논문지
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    • 제16권4호
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    • pp.593-601
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    • 2012
  • 본 논문에서는 미래의 다중 Global Navigation Sattelite System (GNSS) 및 다중 주파수 항법신호 사용자를 위한 새로운 다중 가설 사용자 무결성 감시 기법을 제안한다. 기존의 Weighted Least Squares (WLS) 사용자 무결성 감시 (Receiver Autonomous Integrity Monitoring, RAIM) 기법은 동시에 두 개 이상의 위성이 고장 나지 않는다는 가정 하에 사용자 측정치의 무결성을 감시하므로 동시에 두 개 이상의 측정치 이상이 발생하였을 때 적절한 대응을 할 수 없다는 문제가 있다. 본 논문에서는 여러 epoch의 측정치 잔차와 위성 관측행렬의 변화량을 활용하여 단일 고장 뿐만 아니라 다중 고장을 효율적으로 검출할 수 있는 기법을 제안하였다. 제안된 기법은 반송파 위상 측정치의 변화율을 활용하는 Relative RAIM (RRAIM) 기법을 적용하여 최소 검출가능 바이어스 (Minimum Detectable Bias, MDB)의 크기를 최소화하였고, 시뮬레이션 결과 수 십 m 정도 크기의 다중 고장을 검출할 수 있었다.

냉매의 포화증기밀도 상관식 비교 (Comparison of Correlations of Saturated Vapor Density for Some Refrigerants)

  • 박경근;강병하;장시열
    • 설비공학논문집
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    • 제19권6호
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    • pp.457-463
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    • 2007
  • Various correlations of saturated vapor density in a truncated power series form are tested and compared in this study. Saturated vapor density correlation can be expressed relating logarithmic reduced density to the reduced temperature. Five types of correlation has been investigated using saturated vapor density data for 22 pure substance refrigerants from ASHRAE (American Society of Heating, Reftigerating and Air-Conditioning Engineers, Inc.) property tables and NIST (National Institute of Standards and Technology) Chemistry Webbook. Correlations are fitted to the data points by least squares method. Data points are equally weighted. The best type of correlation among the five types is suggested. The results obtained indicate that the best correlations with 3, 4, and 5 terms yield average AAD's (Average Absolute Deviation) of 0.27%, 0.04%, and 0.02%, respectively, while widely used conventional correlations with 3, 4, and 5 terms yield those of 1.19%, 0.61%, and 0.17%. The suggested type of correlation could reduce the number of terms while improving performance.