2005
DOI: 10.1109/tpwrs.2005.846157
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State Estimation in Power Engineering Using the Huber Robust Regression Technique

Abstract: The least-squares method has been used extensively for state estimation in electric power engineering. However, this method is not always suitable when the process matrix is characterized by structural defects. This letter demonstrates the Huber function technique in a power engineering application. This technique is a slight departure from the leastsquares method and downweighs large residuals. A statistical test to identify possible structural imperfections in the model is introduced.

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Cited by 14 publications
(12 citation statements)
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“…In the conducted experiments, linear regression and ANN-based AQI prediction were performed. Furthermore, the presented study also found that the customized linear regression methodology outperformed other machine-learning methods, such as the linear [ 54 ], ridge [ 55 ], Lasso [ 56 ], Bayes [ 57 ], Huber [ 58 ], Lars [ 59 ], Lasso-lars [ 60 ], stochastic gradient descent (SGD) [ 61 ], and ElasticNet [ 62 ] regression methodologies, and the customized ANN regression methodology used in the conducted experiments. (iv) In the end, the web and mobile interface was developed to display the air pollution prediction values of a variety of air pollutants.…”
Section: The Necessity Of the Pwp Systemmentioning
confidence: 82%
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“…In the conducted experiments, linear regression and ANN-based AQI prediction were performed. Furthermore, the presented study also found that the customized linear regression methodology outperformed other machine-learning methods, such as the linear [ 54 ], ridge [ 55 ], Lasso [ 56 ], Bayes [ 57 ], Huber [ 58 ], Lars [ 59 ], Lasso-lars [ 60 ], stochastic gradient descent (SGD) [ 61 ], and ElasticNet [ 62 ] regression methodologies, and the customized ANN regression methodology used in the conducted experiments. (iv) In the end, the web and mobile interface was developed to display the air pollution prediction values of a variety of air pollutants.…”
Section: The Necessity Of the Pwp Systemmentioning
confidence: 82%
“…ESP8266 12E/NodeMCU is a cost-effective controller module equipped with a 32-bit microcontroller with 4MB memory. According to [ 58 ], a NodeMCU controller consists of GPIOs, I2C, UART, ADC, and PWM pins to interface with various sensor modules. Figure 1 a represents a microcontroller unit used in the conducted experiments.…”
Section: The Necessity Of the Pwp Systemmentioning
confidence: 99%
“…where r is called the residue vector. By introducing the nonnegative slack variable vectors (s, u, v ) into the inequality constraints, and incorporating the slack variables in the logarithmic barrier terms of the objective function, (19) can be reformulated as 20) where s j denotes the j th element of s, p and q stand for the number of rows of h(x) and f(x), respectively, and μ > 0 is called the barrier parameter. Its value will decrease towards zero when x approaches the solution.…”
Section: Problem Formulationmentioning
confidence: 99%
“…After considering the Lagrangian function of (20) and the Karush-Kuhn-Tucker (KKT) optimality conditions, the state estimation problem can be written as…”
Section: Problem Formulationmentioning
confidence: 99%
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