Whitening Matrix

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Kenneth E Brown - One of the best experts on this subject based on the ideXlab platform.

  • distribution grid impedance topology estimation with limited or no micro pmus
    International Journal of Electrical Power & Energy Systems, 2021
    Co-Authors: Yang Weng, Yizheng Liao, Brian Keel, Kenneth E Brown
    Abstract:

    Abstract With more distributed energy resources (DERs) connected to distribution grids, better monitoring and control are needed, where accurate system topology and branch impedance are the prerequisites. However, this information is usually unknown or inaccurate due to limited observability in distribution grids. Therefore, the topology and branch impedance estimation methods are necessary for distribution grid operations. Among existed works, the regression-based methods have been frequently discussed, which leverages the estimated impedance Matrix and graph theory to recover the radial topology. However, most of them assume that micro Phasor Measurement Units (micro-PMUs) have been placed at all load-nodes, which is unrealistic due to the sensor cost. In this paper, we target real cases where only nodes with high-variability loads have sensors, either micro-PMUs or smart meters. Firstly, we convert the micro-PMU-based or the smart meter-based impedance estimation to an Ordinary Least Square (OLS) estimation, where only measurements of observed nodes can be utilized for the estimation while hidden quantities cause errors. To quantify the error, we propose a Factorized Ordinary Least Squares (FOLS) method to decompose the error of OLS with the Whitening Matrix. Under Cholesky Whitening, we theoretically provide the upper error bound and claim the error is negligible with our metering assumption. Finally, we introduce the Recursive Grouping algorithm to estimate the branch impedance & topology with hidden nodes. The numerical results demonstrate that the proposed algorithm achieves accurate results on real-world load data and IEEE standard test systems.

  • Distribution grid impedance & topology estimation with limited or no micro-PMUs
    International Journal of Electrical Power & Energy Systems, 1
    Co-Authors: Yang Weng, Yizheng Liao, Brian Keel, Kenneth E Brown
    Abstract:

    Abstract With more distributed energy resources (DERs) connected to distribution grids, better monitoring and control are needed, where accurate system topology and branch impedance are the prerequisites. However, this information is usually unknown or inaccurate due to limited observability in distribution grids. Therefore, the topology and branch impedance estimation methods are necessary for distribution grid operations. Among existed works, the regression-based methods have been frequently discussed, which leverages the estimated impedance Matrix and graph theory to recover the radial topology. However, most of them assume that micro Phasor Measurement Units (micro-PMUs) have been placed at all load-nodes, which is unrealistic due to the sensor cost. In this paper, we target real cases where only nodes with high-variability loads have sensors, either micro-PMUs or smart meters. Firstly, we convert the micro-PMU-based or the smart meter-based impedance estimation to an Ordinary Least Square (OLS) estimation, where only measurements of observed nodes can be utilized for the estimation while hidden quantities cause errors. To quantify the error, we propose a Factorized Ordinary Least Squares (FOLS) method to decompose the error of OLS with the Whitening Matrix. Under Cholesky Whitening, we theoretically provide the upper error bound and claim the error is negligible with our metering assumption. Finally, we introduce the Recursive Grouping algorithm to estimate the branch impedance & topology with hidden nodes. The numerical results demonstrate that the proposed algorithm achieves accurate results on real-world load data and IEEE standard test systems.

Yang Weng - One of the best experts on this subject based on the ideXlab platform.

  • distribution grid impedance topology estimation with limited or no micro pmus
    International Journal of Electrical Power & Energy Systems, 2021
    Co-Authors: Yang Weng, Yizheng Liao, Brian Keel, Kenneth E Brown
    Abstract:

    Abstract With more distributed energy resources (DERs) connected to distribution grids, better monitoring and control are needed, where accurate system topology and branch impedance are the prerequisites. However, this information is usually unknown or inaccurate due to limited observability in distribution grids. Therefore, the topology and branch impedance estimation methods are necessary for distribution grid operations. Among existed works, the regression-based methods have been frequently discussed, which leverages the estimated impedance Matrix and graph theory to recover the radial topology. However, most of them assume that micro Phasor Measurement Units (micro-PMUs) have been placed at all load-nodes, which is unrealistic due to the sensor cost. In this paper, we target real cases where only nodes with high-variability loads have sensors, either micro-PMUs or smart meters. Firstly, we convert the micro-PMU-based or the smart meter-based impedance estimation to an Ordinary Least Square (OLS) estimation, where only measurements of observed nodes can be utilized for the estimation while hidden quantities cause errors. To quantify the error, we propose a Factorized Ordinary Least Squares (FOLS) method to decompose the error of OLS with the Whitening Matrix. Under Cholesky Whitening, we theoretically provide the upper error bound and claim the error is negligible with our metering assumption. Finally, we introduce the Recursive Grouping algorithm to estimate the branch impedance & topology with hidden nodes. The numerical results demonstrate that the proposed algorithm achieves accurate results on real-world load data and IEEE standard test systems.

  • Distribution grid impedance & topology estimation with limited or no micro-PMUs
    International Journal of Electrical Power & Energy Systems, 1
    Co-Authors: Yang Weng, Yizheng Liao, Brian Keel, Kenneth E Brown
    Abstract:

    Abstract With more distributed energy resources (DERs) connected to distribution grids, better monitoring and control are needed, where accurate system topology and branch impedance are the prerequisites. However, this information is usually unknown or inaccurate due to limited observability in distribution grids. Therefore, the topology and branch impedance estimation methods are necessary for distribution grid operations. Among existed works, the regression-based methods have been frequently discussed, which leverages the estimated impedance Matrix and graph theory to recover the radial topology. However, most of them assume that micro Phasor Measurement Units (micro-PMUs) have been placed at all load-nodes, which is unrealistic due to the sensor cost. In this paper, we target real cases where only nodes with high-variability loads have sensors, either micro-PMUs or smart meters. Firstly, we convert the micro-PMU-based or the smart meter-based impedance estimation to an Ordinary Least Square (OLS) estimation, where only measurements of observed nodes can be utilized for the estimation while hidden quantities cause errors. To quantify the error, we propose a Factorized Ordinary Least Squares (FOLS) method to decompose the error of OLS with the Whitening Matrix. Under Cholesky Whitening, we theoretically provide the upper error bound and claim the error is negligible with our metering assumption. Finally, we introduce the Recursive Grouping algorithm to estimate the branch impedance & topology with hidden nodes. The numerical results demonstrate that the proposed algorithm achieves accurate results on real-world load data and IEEE standard test systems.

Yizheng Liao - One of the best experts on this subject based on the ideXlab platform.

  • distribution grid impedance topology estimation with limited or no micro pmus
    International Journal of Electrical Power & Energy Systems, 2021
    Co-Authors: Yang Weng, Yizheng Liao, Brian Keel, Kenneth E Brown
    Abstract:

    Abstract With more distributed energy resources (DERs) connected to distribution grids, better monitoring and control are needed, where accurate system topology and branch impedance are the prerequisites. However, this information is usually unknown or inaccurate due to limited observability in distribution grids. Therefore, the topology and branch impedance estimation methods are necessary for distribution grid operations. Among existed works, the regression-based methods have been frequently discussed, which leverages the estimated impedance Matrix and graph theory to recover the radial topology. However, most of them assume that micro Phasor Measurement Units (micro-PMUs) have been placed at all load-nodes, which is unrealistic due to the sensor cost. In this paper, we target real cases where only nodes with high-variability loads have sensors, either micro-PMUs or smart meters. Firstly, we convert the micro-PMU-based or the smart meter-based impedance estimation to an Ordinary Least Square (OLS) estimation, where only measurements of observed nodes can be utilized for the estimation while hidden quantities cause errors. To quantify the error, we propose a Factorized Ordinary Least Squares (FOLS) method to decompose the error of OLS with the Whitening Matrix. Under Cholesky Whitening, we theoretically provide the upper error bound and claim the error is negligible with our metering assumption. Finally, we introduce the Recursive Grouping algorithm to estimate the branch impedance & topology with hidden nodes. The numerical results demonstrate that the proposed algorithm achieves accurate results on real-world load data and IEEE standard test systems.

  • Distribution grid impedance & topology estimation with limited or no micro-PMUs
    International Journal of Electrical Power & Energy Systems, 1
    Co-Authors: Yang Weng, Yizheng Liao, Brian Keel, Kenneth E Brown
    Abstract:

    Abstract With more distributed energy resources (DERs) connected to distribution grids, better monitoring and control are needed, where accurate system topology and branch impedance are the prerequisites. However, this information is usually unknown or inaccurate due to limited observability in distribution grids. Therefore, the topology and branch impedance estimation methods are necessary for distribution grid operations. Among existed works, the regression-based methods have been frequently discussed, which leverages the estimated impedance Matrix and graph theory to recover the radial topology. However, most of them assume that micro Phasor Measurement Units (micro-PMUs) have been placed at all load-nodes, which is unrealistic due to the sensor cost. In this paper, we target real cases where only nodes with high-variability loads have sensors, either micro-PMUs or smart meters. Firstly, we convert the micro-PMU-based or the smart meter-based impedance estimation to an Ordinary Least Square (OLS) estimation, where only measurements of observed nodes can be utilized for the estimation while hidden quantities cause errors. To quantify the error, we propose a Factorized Ordinary Least Squares (FOLS) method to decompose the error of OLS with the Whitening Matrix. Under Cholesky Whitening, we theoretically provide the upper error bound and claim the error is negligible with our metering assumption. Finally, we introduce the Recursive Grouping algorithm to estimate the branch impedance & topology with hidden nodes. The numerical results demonstrate that the proposed algorithm achieves accurate results on real-world load data and IEEE standard test systems.

Brian Keel - One of the best experts on this subject based on the ideXlab platform.

  • distribution grid impedance topology estimation with limited or no micro pmus
    International Journal of Electrical Power & Energy Systems, 2021
    Co-Authors: Yang Weng, Yizheng Liao, Brian Keel, Kenneth E Brown
    Abstract:

    Abstract With more distributed energy resources (DERs) connected to distribution grids, better monitoring and control are needed, where accurate system topology and branch impedance are the prerequisites. However, this information is usually unknown or inaccurate due to limited observability in distribution grids. Therefore, the topology and branch impedance estimation methods are necessary for distribution grid operations. Among existed works, the regression-based methods have been frequently discussed, which leverages the estimated impedance Matrix and graph theory to recover the radial topology. However, most of them assume that micro Phasor Measurement Units (micro-PMUs) have been placed at all load-nodes, which is unrealistic due to the sensor cost. In this paper, we target real cases where only nodes with high-variability loads have sensors, either micro-PMUs or smart meters. Firstly, we convert the micro-PMU-based or the smart meter-based impedance estimation to an Ordinary Least Square (OLS) estimation, where only measurements of observed nodes can be utilized for the estimation while hidden quantities cause errors. To quantify the error, we propose a Factorized Ordinary Least Squares (FOLS) method to decompose the error of OLS with the Whitening Matrix. Under Cholesky Whitening, we theoretically provide the upper error bound and claim the error is negligible with our metering assumption. Finally, we introduce the Recursive Grouping algorithm to estimate the branch impedance & topology with hidden nodes. The numerical results demonstrate that the proposed algorithm achieves accurate results on real-world load data and IEEE standard test systems.

  • Distribution grid impedance & topology estimation with limited or no micro-PMUs
    International Journal of Electrical Power & Energy Systems, 1
    Co-Authors: Yang Weng, Yizheng Liao, Brian Keel, Kenneth E Brown
    Abstract:

    Abstract With more distributed energy resources (DERs) connected to distribution grids, better monitoring and control are needed, where accurate system topology and branch impedance are the prerequisites. However, this information is usually unknown or inaccurate due to limited observability in distribution grids. Therefore, the topology and branch impedance estimation methods are necessary for distribution grid operations. Among existed works, the regression-based methods have been frequently discussed, which leverages the estimated impedance Matrix and graph theory to recover the radial topology. However, most of them assume that micro Phasor Measurement Units (micro-PMUs) have been placed at all load-nodes, which is unrealistic due to the sensor cost. In this paper, we target real cases where only nodes with high-variability loads have sensors, either micro-PMUs or smart meters. Firstly, we convert the micro-PMU-based or the smart meter-based impedance estimation to an Ordinary Least Square (OLS) estimation, where only measurements of observed nodes can be utilized for the estimation while hidden quantities cause errors. To quantify the error, we propose a Factorized Ordinary Least Squares (FOLS) method to decompose the error of OLS with the Whitening Matrix. Under Cholesky Whitening, we theoretically provide the upper error bound and claim the error is negligible with our metering assumption. Finally, we introduce the Recursive Grouping algorithm to estimate the branch impedance & topology with hidden nodes. The numerical results demonstrate that the proposed algorithm achieves accurate results on real-world load data and IEEE standard test systems.

Ashraf F. Ashour - One of the best experts on this subject based on the ideXlab platform.

  • Experimental study on compressive behavior and failure analysis of composite concrete confined by glass/epoxy ±55° filament wound pipes
    Composite Structures, 2018
    Co-Authors: Lokman Gemi, Mehmet Alpaslan Köroğlu, Ashraf F. Ashour
    Abstract:

    Abstract This paper investigates the strength and ductility of concrete confined by Glass/Epoxy ±55° Filament Wound Pipes (GFRP) under axial compression . A total of 24 cylindrical specimens were prepared with expansive and Portland cements , properly compacted and un-compacted for different composite fresh concrete Matrix . Test results showed that compressive strength and axial deformation at failure of concrete confined with GFRP tubes increased by an average of 2.85 and 5.57 times these of unconfined concrete, respectively. Macro and micro analyses of GFRP pipes after failure were also investigated. Debonding, Whitening, Matrix/transfer cracking, delamination and splitting mechanisms were detected at failure, respectively. The experimental results were also employed to assess the reliability of design models available in the literature for confined concrete compressive strength.