Lagrangian Multiplier

14,000,000 Leading Edge Experts on the ideXlab platform

Scan Science and Technology

Contact Leading Edge Experts & Companies

Scan Science and Technology

Contact Leading Edge Experts & Companies

The Experts below are selected from a list of 291 Experts worldwide ranked by ideXlab platform

Chongqing Kang - One of the best experts on this subject based on the ideXlab platform.

  • distributed real time demand response based on Lagrangian Multiplier optimal selection approach
    Applied Energy, 2017
    Co-Authors: Jianxiao Wang, Haiwang Zhong, Xiaowen Lai, Qing Xia, Chang Shu, Chongqing Kang
    Abstract:

    Abstract In this paper, a real-time demand response (DR) framework and model for a smart distribution grid is formulated. The model is optimized in a distributed manner with the Lagrangian relaxation (LR) method. Consumers adjust their own hourly load level in response to real-time prices (RTP) of electricity to maximize their utility. Because the convergence performance of existing distributed algorithms highly relies on the selection of the iteration step size and search direction, a novel approach termed Lagrangian Multiplier optimal selection (LMOS) is proposed to overcome this difficulty. Via sensitivity analysis, the energy demand elasticity of consumers can be effectively estimated. Then the LMOS model can be established to optimize the Lagrangian Multipliers in a relatively small linearized neighborhood. The salient feature of LMOS is its capability to optimally determine the Lagrangian Multipliers during each iteration, which greatly improves the convergence performance of the distributed algorithm. Case studies based on a distribution grid with the number of consumers ranging from 10 to 100 and a real-world distribution grid demonstrate that the proposed method greatly outperforms the prevalent approaches, in terms of both efficiency and robustness.

  • Distributed real-time demand response based on Lagrangian Multiplier optimal selection approach ☆
    Applied Energy, 2017
    Co-Authors: Jianxiao Wang, Haiwang Zhong, Xiaowen Lai, Qing Xia, Chang Shu, Chongqing Kang
    Abstract:

    Abstract In this paper, a real-time demand response (DR) framework and model for a smart distribution grid is formulated. The model is optimized in a distributed manner with the Lagrangian relaxation (LR) method. Consumers adjust their own hourly load level in response to real-time prices (RTP) of electricity to maximize their utility. Because the convergence performance of existing distributed algorithms highly relies on the selection of the iteration step size and search direction, a novel approach termed Lagrangian Multiplier optimal selection (LMOS) is proposed to overcome this difficulty. Via sensitivity analysis, the energy demand elasticity of consumers can be effectively estimated. Then the LMOS model can be established to optimize the Lagrangian Multipliers in a relatively small linearized neighborhood. The salient feature of LMOS is its capability to optimally determine the Lagrangian Multipliers during each iteration, which greatly improves the convergence performance of the distributed algorithm. Case studies based on a distribution grid with the number of consumers ranging from 10 to 100 and a real-world distribution grid demonstrate that the proposed method greatly outperforms the prevalent approaches, in terms of both efficiency and robustness.

Jianxiao Wang - One of the best experts on this subject based on the ideXlab platform.

  • distributed real time demand response based on Lagrangian Multiplier optimal selection approach
    Applied Energy, 2017
    Co-Authors: Jianxiao Wang, Haiwang Zhong, Xiaowen Lai, Qing Xia, Chang Shu, Chongqing Kang
    Abstract:

    Abstract In this paper, a real-time demand response (DR) framework and model for a smart distribution grid is formulated. The model is optimized in a distributed manner with the Lagrangian relaxation (LR) method. Consumers adjust their own hourly load level in response to real-time prices (RTP) of electricity to maximize their utility. Because the convergence performance of existing distributed algorithms highly relies on the selection of the iteration step size and search direction, a novel approach termed Lagrangian Multiplier optimal selection (LMOS) is proposed to overcome this difficulty. Via sensitivity analysis, the energy demand elasticity of consumers can be effectively estimated. Then the LMOS model can be established to optimize the Lagrangian Multipliers in a relatively small linearized neighborhood. The salient feature of LMOS is its capability to optimally determine the Lagrangian Multipliers during each iteration, which greatly improves the convergence performance of the distributed algorithm. Case studies based on a distribution grid with the number of consumers ranging from 10 to 100 and a real-world distribution grid demonstrate that the proposed method greatly outperforms the prevalent approaches, in terms of both efficiency and robustness.

  • Distributed real-time demand response based on Lagrangian Multiplier optimal selection approach ☆
    Applied Energy, 2017
    Co-Authors: Jianxiao Wang, Haiwang Zhong, Xiaowen Lai, Qing Xia, Chang Shu, Chongqing Kang
    Abstract:

    Abstract In this paper, a real-time demand response (DR) framework and model for a smart distribution grid is formulated. The model is optimized in a distributed manner with the Lagrangian relaxation (LR) method. Consumers adjust their own hourly load level in response to real-time prices (RTP) of electricity to maximize their utility. Because the convergence performance of existing distributed algorithms highly relies on the selection of the iteration step size and search direction, a novel approach termed Lagrangian Multiplier optimal selection (LMOS) is proposed to overcome this difficulty. Via sensitivity analysis, the energy demand elasticity of consumers can be effectively estimated. Then the LMOS model can be established to optimize the Lagrangian Multipliers in a relatively small linearized neighborhood. The salient feature of LMOS is its capability to optimally determine the Lagrangian Multipliers during each iteration, which greatly improves the convergence performance of the distributed algorithm. Case studies based on a distribution grid with the number of consumers ranging from 10 to 100 and a real-world distribution grid demonstrate that the proposed method greatly outperforms the prevalent approaches, in terms of both efficiency and robustness.

Qing Xia - One of the best experts on this subject based on the ideXlab platform.

  • distributed real time demand response based on Lagrangian Multiplier optimal selection approach
    Applied Energy, 2017
    Co-Authors: Jianxiao Wang, Haiwang Zhong, Xiaowen Lai, Qing Xia, Chang Shu, Chongqing Kang
    Abstract:

    Abstract In this paper, a real-time demand response (DR) framework and model for a smart distribution grid is formulated. The model is optimized in a distributed manner with the Lagrangian relaxation (LR) method. Consumers adjust their own hourly load level in response to real-time prices (RTP) of electricity to maximize their utility. Because the convergence performance of existing distributed algorithms highly relies on the selection of the iteration step size and search direction, a novel approach termed Lagrangian Multiplier optimal selection (LMOS) is proposed to overcome this difficulty. Via sensitivity analysis, the energy demand elasticity of consumers can be effectively estimated. Then the LMOS model can be established to optimize the Lagrangian Multipliers in a relatively small linearized neighborhood. The salient feature of LMOS is its capability to optimally determine the Lagrangian Multipliers during each iteration, which greatly improves the convergence performance of the distributed algorithm. Case studies based on a distribution grid with the number of consumers ranging from 10 to 100 and a real-world distribution grid demonstrate that the proposed method greatly outperforms the prevalent approaches, in terms of both efficiency and robustness.

  • Distributed real-time demand response based on Lagrangian Multiplier optimal selection approach ☆
    Applied Energy, 2017
    Co-Authors: Jianxiao Wang, Haiwang Zhong, Xiaowen Lai, Qing Xia, Chang Shu, Chongqing Kang
    Abstract:

    Abstract In this paper, a real-time demand response (DR) framework and model for a smart distribution grid is formulated. The model is optimized in a distributed manner with the Lagrangian relaxation (LR) method. Consumers adjust their own hourly load level in response to real-time prices (RTP) of electricity to maximize their utility. Because the convergence performance of existing distributed algorithms highly relies on the selection of the iteration step size and search direction, a novel approach termed Lagrangian Multiplier optimal selection (LMOS) is proposed to overcome this difficulty. Via sensitivity analysis, the energy demand elasticity of consumers can be effectively estimated. Then the LMOS model can be established to optimize the Lagrangian Multipliers in a relatively small linearized neighborhood. The salient feature of LMOS is its capability to optimally determine the Lagrangian Multipliers during each iteration, which greatly improves the convergence performance of the distributed algorithm. Case studies based on a distribution grid with the number of consumers ranging from 10 to 100 and a real-world distribution grid demonstrate that the proposed method greatly outperforms the prevalent approaches, in terms of both efficiency and robustness.

Xiaowen Lai - One of the best experts on this subject based on the ideXlab platform.

  • distributed real time demand response based on Lagrangian Multiplier optimal selection approach
    Applied Energy, 2017
    Co-Authors: Jianxiao Wang, Haiwang Zhong, Xiaowen Lai, Qing Xia, Chang Shu, Chongqing Kang
    Abstract:

    Abstract In this paper, a real-time demand response (DR) framework and model for a smart distribution grid is formulated. The model is optimized in a distributed manner with the Lagrangian relaxation (LR) method. Consumers adjust their own hourly load level in response to real-time prices (RTP) of electricity to maximize their utility. Because the convergence performance of existing distributed algorithms highly relies on the selection of the iteration step size and search direction, a novel approach termed Lagrangian Multiplier optimal selection (LMOS) is proposed to overcome this difficulty. Via sensitivity analysis, the energy demand elasticity of consumers can be effectively estimated. Then the LMOS model can be established to optimize the Lagrangian Multipliers in a relatively small linearized neighborhood. The salient feature of LMOS is its capability to optimally determine the Lagrangian Multipliers during each iteration, which greatly improves the convergence performance of the distributed algorithm. Case studies based on a distribution grid with the number of consumers ranging from 10 to 100 and a real-world distribution grid demonstrate that the proposed method greatly outperforms the prevalent approaches, in terms of both efficiency and robustness.

  • Distributed real-time demand response based on Lagrangian Multiplier optimal selection approach ☆
    Applied Energy, 2017
    Co-Authors: Jianxiao Wang, Haiwang Zhong, Xiaowen Lai, Qing Xia, Chang Shu, Chongqing Kang
    Abstract:

    Abstract In this paper, a real-time demand response (DR) framework and model for a smart distribution grid is formulated. The model is optimized in a distributed manner with the Lagrangian relaxation (LR) method. Consumers adjust their own hourly load level in response to real-time prices (RTP) of electricity to maximize their utility. Because the convergence performance of existing distributed algorithms highly relies on the selection of the iteration step size and search direction, a novel approach termed Lagrangian Multiplier optimal selection (LMOS) is proposed to overcome this difficulty. Via sensitivity analysis, the energy demand elasticity of consumers can be effectively estimated. Then the LMOS model can be established to optimize the Lagrangian Multipliers in a relatively small linearized neighborhood. The salient feature of LMOS is its capability to optimally determine the Lagrangian Multipliers during each iteration, which greatly improves the convergence performance of the distributed algorithm. Case studies based on a distribution grid with the number of consumers ranging from 10 to 100 and a real-world distribution grid demonstrate that the proposed method greatly outperforms the prevalent approaches, in terms of both efficiency and robustness.

Haiwang Zhong - One of the best experts on this subject based on the ideXlab platform.

  • distributed real time demand response based on Lagrangian Multiplier optimal selection approach
    Applied Energy, 2017
    Co-Authors: Jianxiao Wang, Haiwang Zhong, Xiaowen Lai, Qing Xia, Chang Shu, Chongqing Kang
    Abstract:

    Abstract In this paper, a real-time demand response (DR) framework and model for a smart distribution grid is formulated. The model is optimized in a distributed manner with the Lagrangian relaxation (LR) method. Consumers adjust their own hourly load level in response to real-time prices (RTP) of electricity to maximize their utility. Because the convergence performance of existing distributed algorithms highly relies on the selection of the iteration step size and search direction, a novel approach termed Lagrangian Multiplier optimal selection (LMOS) is proposed to overcome this difficulty. Via sensitivity analysis, the energy demand elasticity of consumers can be effectively estimated. Then the LMOS model can be established to optimize the Lagrangian Multipliers in a relatively small linearized neighborhood. The salient feature of LMOS is its capability to optimally determine the Lagrangian Multipliers during each iteration, which greatly improves the convergence performance of the distributed algorithm. Case studies based on a distribution grid with the number of consumers ranging from 10 to 100 and a real-world distribution grid demonstrate that the proposed method greatly outperforms the prevalent approaches, in terms of both efficiency and robustness.

  • Distributed real-time demand response based on Lagrangian Multiplier optimal selection approach ☆
    Applied Energy, 2017
    Co-Authors: Jianxiao Wang, Haiwang Zhong, Xiaowen Lai, Qing Xia, Chang Shu, Chongqing Kang
    Abstract:

    Abstract In this paper, a real-time demand response (DR) framework and model for a smart distribution grid is formulated. The model is optimized in a distributed manner with the Lagrangian relaxation (LR) method. Consumers adjust their own hourly load level in response to real-time prices (RTP) of electricity to maximize their utility. Because the convergence performance of existing distributed algorithms highly relies on the selection of the iteration step size and search direction, a novel approach termed Lagrangian Multiplier optimal selection (LMOS) is proposed to overcome this difficulty. Via sensitivity analysis, the energy demand elasticity of consumers can be effectively estimated. Then the LMOS model can be established to optimize the Lagrangian Multipliers in a relatively small linearized neighborhood. The salient feature of LMOS is its capability to optimally determine the Lagrangian Multipliers during each iteration, which greatly improves the convergence performance of the distributed algorithm. Case studies based on a distribution grid with the number of consumers ranging from 10 to 100 and a real-world distribution grid demonstrate that the proposed method greatly outperforms the prevalent approaches, in terms of both efficiency and robustness.