• Title/Summary/Keyword: weighted least absolute value

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Robust Singular Value Decomposition BaLsed on Weighted Least Absolute Deviation Regression

  • Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
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    • v.17 no.6
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    • pp.803-810
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    • 2010
  • The singular value decomposition of a rectangular matrix is a basic tool to understand the structure of the data and particularly the relationship between row and column factors. However, conventional singular value decomposition used the least squares method and is not robust to outliers. We propose a simple robust singular value decomposition algorithm based on the weighted least absolute deviation which is not sensitive to leverage points. Its implementation is easy and the computation time is reasonably low. Numerical results give the data structure and the outlying information.

Development of The Robust State Estimator using Linear Programming (선형계획법을 이용한 견실한 상태추정기의 개발에 관한 연구)

  • Lim, Jae-Sup;Kwon, Hyung-Seok;Kim, Hong-Rae
    • Proceedings of the KIEE Conference
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    • 2001.07a
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    • pp.181-183
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    • 2001
  • This paper presents a robust power system state estimator using linear programming(LP). LP state estimators minimize the weighted sum of the absolute values of the measurement residuals. In this paper, WLS(weighted least square) and WLAV(weighted least absolute value) state estimators are run with same measurement sets including bad data in order to compare the robustness to bad data and convergence characteristics of the two methods. Simulations with three test cases are performed and the results are presented, using IEEE 14 bus system.

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An Algorithm for Transformer Tap Estimation by WLAV State Estimator (가중최소절대값을 이용한 변압기 텝 추정 알고리즘)

  • Kim, Hong-Rae;Kwon, Hyung-Seok
    • Proceedings of the KIEE Conference
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    • 1999.11b
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    • pp.279-281
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    • 1999
  • This paper addresses the issues of the parameter error detection and identification in power system. The parameter error identification is carried out as part of the state estimation procedure. The weighted least absolute value(WLAV) estimation method is used for this procedure. The standard formulation of the state estimation problem is modified to include the effects of the parameter errors as well. A two step procedure for the detection and identification of faulted parameters is proposed. Supporting examples are given using IEEE 14 bus system.

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Identification of Parameter Errors in Electric Power Systems by WLAV State Estimation (WLAV 상태추정에 의한 전력계통 파라미터 에러 추정에 관한 연구)

  • Kim, Hong-Rae;Gwon, Hyeong-Seok;Kim, Dong-Jun
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.9
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    • pp.451-458
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    • 2000
  • This paper addresses the issues of the parameter error detection and identification in electric power systems. In this paper, the parameter error identification and estimation is carried out as part of the state estimation. A two stage estimation procedure is used to detect and identify the parameter errors. The suspected parameters are identified by the WLAV state estimator as the first stage. A new WLAV state estimator adding the suspected system parameters in the state vector is used to estimate the exact value of parameter errors. Supporting examples are given by using IEEE 14 bus system.

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Real-Time Identification and Estimation of Transformer Tap Ratios Containing Errors

  • Kim, Hongrae;Kwon, Hyung-Seok
    • KIEE International Transactions on Power Engineering
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    • v.2A no.3
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    • pp.109-113
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    • 2002
  • This paper addresses the issue of parameter error identification and estimation in electric power systems. Parameter error identification and estimation is carried out as a part of the state estimation. A two stage estimation procedure is used to detect and identify parameter errors. Suspected parameters are identified by the WLAV state estimator in the first stage. A new WLAV state estimator adding suspected system parameters in the state vector is used to estimate the exact values of parameters. Supporting examples are given by using the IEEE 14 bus system.

A Comparative Study on the Methods for Weighting the Dimensions of Customer Satisfaction with Importance Perceived by Customers (고객만족도 조사도구의 차원별 가중치 부여방법 비교)

  • Kang, Myunggeun;Cho, Woohyun;Lee, Sunhee;Choi, Kuison;Mooon, Kitae
    • Quality Improvement in Health Care
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    • v.7 no.2
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    • pp.230-242
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    • 2000
  • Background : The measuring instruments for customer satisfaction in hospitals are often composed of some dimensions reflecting the conceptive complexity of them. Then, overall satisfaction would be expected to be equal the 'weighted' sum of scores by dimensions because the importance rated by customers may be different across the dimensions. But the issue of how to weight the dimensions with importance is not yet solved. We examined 3 sets of weighting methods as to make effect on predictive power against overall satisfaction. Methods : We conducted a survey included 483 subjects who had visited or admitted to a university hospital, using the short form questionnaire being developed by The Korean Society of Quality Assurance in Health Care for out-patient and in-patient. By using a multiple linear regression model, we compared among changes of explanatory powers against overall satisfaction as dependent variable after weighting 4 dimensions of the survey questionnaire as independent variables with importance scores of dimensions perceived by consumers. And we compared the feasibility of each weighting, methods by checking missing cases. Results : There were no weighting methods increasing the explanatory power after applying them. The method of absolute scoring was found higher explanatory-power than others, but this finding had no statistical significance. Regarding the number of missing value, method of absolutely scoring had the least cases. Conclusion : Our findings suggested that weighting the dimensions with importance might have little significance in the cases of scales having items highly correlated, such as consumers' satisfaction. Though asking with items to be answered absolutely, customers might be rating relatively in some degree and this method produced least missing cases. Considering these points, in the cases when weighting the dimensions with importance would be required, we suggest that weighting method by absolute scoring might be better than others.

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Performance Improvement Algorithm for Wireless Localization Based on RSSI at Indoor Environment (RSSI의 거리 추정 방식에 바탕을 둔 실내 무선 측위 성능 향상 알고리즘)

  • Park, Joo-Hyun;Lee, Jung-Kyu;Kim, Seong-Cheol
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.4C
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    • pp.254-264
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    • 2011
  • In this paper, we propose two algorithm for improving the performance of wireless localization(Trilateration and Least Square) based on the range based approach method in indoor environment using RSSI for ranging distance. we propose a method to discriminate the case that has relatively large estimation errors in trilateration using Heron''s formula for the volume of a tetrahedron. And we propose the algorithm to process the discriminated types of distance using the absolute value calculated by Heron''s formula. In addition, we propose another algorithm for the case of which the number of anchor nodes larger than three. In this case, Residual Weighting Factor(RWGH) improves the performance of Least Square. However, RWGH requires many number of calculations. In this paper, we propose Iterative Weighted Centroid Algorithm(IWCA) that has better performance and less calculation than RWGH. We show the improvement of performance for two algorithms and the combination of these algorithm by using simulation results.

Estimation of Branch Topology Errors in Power Networks by WLAN State Estimation (최소절대값 상태추정에 의한 전력계통 선로 토폴로지 에러의 추정)

  • Kim, Hong-Rae;Song, Gyeong-Bin
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.6
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    • pp.259-265
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    • 2000
  • The purpose of this paper is to detect and identify topological errors in order to maintain a reliable database for the state estimator. In this paper, a two stage estimation procedure is used to identify the topology errors. At the first stage, the WSAV state estimator which has characteristics to remove bad data during the estimation procedure is run for finding out the suspected branches at which topology errors take place. The resulting residuals are normalized and the measurements with significant normalized residuals are selected. A set of suspected branches is formed based on these selected measurements; if the selected measurement is a line flow, the corresponding branch is suspected; if it is an injection, then all the branches connecting the injection bus to its immediate neighbors are suspected. A new WLAV state estimator adding the branch flow errors in the state vector is developed to identify the branch topology errors. Sample cases of single topology error and topology error with a measurement error are applied to IEEE 14 bus test system.

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