Pade Approximation

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Xi Zhang - One of the best experts on this subject based on the ideXlab platform.

  • a transfer function type of simplified electrochemical model with modified boundary conditions and Pade Approximation for li ion battery part 1 lithium concentration estimation
    Journal of Power Sources, 2017
    Co-Authors: Shifei Yuan, Lei Jiang, Hongjie Wu, Xi Zhang
    Abstract:

    Abstract To guarantee the safety, high efficiency and long lifetime for lithium-ion battery, an advanced battery management system requires a physics-meaningful yet computationally efficient battery model. The pseudo-two dimensional (P2D) electrochemical model can provide physical information about the lithium concentration and potential distributions across the cell dimension. However, the extensive computation burden caused by the temporal and spatial discretization limits its real-time application. In this research, we propose a new simplified electrochemical model (SEM) by modifying the boundary conditions for electrolyte diffusion equations, which significantly facilitates the analytical solving process. Then to obtain a reduced order transfer function, the Pade Approximation method is adopted to simplify the derived transcendental impedance solution. The proposed model with the reduced order transfer function can be briefly computable and preserve physical meanings through the presence of parameters such as the solid/electrolyte diffusion coefficients (Ds&De) and particle radius. The simulation illustrates that the proposed simplified model maintains high accuracy for electrolyte phase concentration (Ce) predictions, saying 0.8% and 0.24% modeling error respectively, when compared to the rigorous model under 1C-rate pulse charge/discharge and urban dynamometer driving schedule (UDDS) profiles. Meanwhile, this simplified model yields significantly reduced computational burden, which benefits its real-time application.

  • a transfer function type of simplified electrochemical model with modified boundary conditions and Pade Approximation for li ion battery part 2 modeling and parameter estimation
    Journal of Power Sources, 2017
    Co-Authors: Shifei Yuan, Lei Jiang, Hongjie Wu, Xi Zhang
    Abstract:

    Abstract The electrochemistry-based battery model can provide physics-meaningful knowledge about the lithium-ion battery system with extensive computation burdens. To motivate the development of reduced order battery model, three major contributions have been made throughout this paper: (1) the transfer function type of simplified electrochemical model is proposed to address the current-voltage relationship with Pade Approximation method and modified boundary conditions for electrolyte diffusion equations. The model performance has been verified under pulse charge/discharge and dynamic stress test (DST) profiles with the standard derivation less than 0.021 V and the runtime 50 times faster. (2) the parametric relationship between the equivalent circuit model and simplified electrochemical model has been established, which will enhance the comprehension level of two models with more in-depth physical significance and provide new methods for electrochemical model parameter estimation. (3) four simplified electrochemical model parameters: equivalent resistance R eq , effective diffusion coefficient in electrolyte phase D e eff , electrolyte phase volume fraction e and open circuit voltage (OCV), have been identified by the recursive least square (RLS) algorithm with the modified DST profiles under 45, 25 and 0 °C. The simulation results indicate that the proposed model coupled with RLS algorithm can achieve high accuracy for electrochemical parameter identification in dynamic scenarios.

A Yan - One of the best experts on this subject based on the ideXlab platform.

  • Pade Approximation for stochastic discrete event systems
    IEEE Transactions on Automatic Control, 1995
    Co-Authors: Weibo Gong, S Nananukul, A Yan
    Abstract:

    We show that Pade Approximation can be effectively used for Approximation of performance functions in discrete-event systems. The method is (1) obtaining the MacLaurin coefficients of the performance function and (2) finding a Pade approximant from the MacLaurin coefficients and use it to approximate the function. We use the method with the expected number of renewals in a random interval, GI/G/1 systems, and inventory systems. The results are very good. >

  • Pade Approximation for stochastic discrete event systems
    Conference on Decision and Control, 1992
    Co-Authors: Weibo Gong, S Nananukul, A Yan
    Abstract:

    It is shown that Pade Approximation can be used effectively for the Approximation of performance functions in discrete event systems. The steps of the method are: (1) obtain the MacLaurin coefficients of the performance function, and (2) find a Pade approximant from the MacLaurin coefficients and use it to approximate the function. The method is used with GI/G/1/1 systems, GI/G/1 systems, and inventory systems. The results are satisfactory. >

Shifei Yuan - One of the best experts on this subject based on the ideXlab platform.

  • a transfer function type of simplified electrochemical model with modified boundary conditions and Pade Approximation for li ion battery part 1 lithium concentration estimation
    Journal of Power Sources, 2017
    Co-Authors: Shifei Yuan, Lei Jiang, Hongjie Wu, Xi Zhang
    Abstract:

    Abstract To guarantee the safety, high efficiency and long lifetime for lithium-ion battery, an advanced battery management system requires a physics-meaningful yet computationally efficient battery model. The pseudo-two dimensional (P2D) electrochemical model can provide physical information about the lithium concentration and potential distributions across the cell dimension. However, the extensive computation burden caused by the temporal and spatial discretization limits its real-time application. In this research, we propose a new simplified electrochemical model (SEM) by modifying the boundary conditions for electrolyte diffusion equations, which significantly facilitates the analytical solving process. Then to obtain a reduced order transfer function, the Pade Approximation method is adopted to simplify the derived transcendental impedance solution. The proposed model with the reduced order transfer function can be briefly computable and preserve physical meanings through the presence of parameters such as the solid/electrolyte diffusion coefficients (Ds&De) and particle radius. The simulation illustrates that the proposed simplified model maintains high accuracy for electrolyte phase concentration (Ce) predictions, saying 0.8% and 0.24% modeling error respectively, when compared to the rigorous model under 1C-rate pulse charge/discharge and urban dynamometer driving schedule (UDDS) profiles. Meanwhile, this simplified model yields significantly reduced computational burden, which benefits its real-time application.

  • a transfer function type of simplified electrochemical model with modified boundary conditions and Pade Approximation for li ion battery part 2 modeling and parameter estimation
    Journal of Power Sources, 2017
    Co-Authors: Shifei Yuan, Lei Jiang, Hongjie Wu, Xi Zhang
    Abstract:

    Abstract The electrochemistry-based battery model can provide physics-meaningful knowledge about the lithium-ion battery system with extensive computation burdens. To motivate the development of reduced order battery model, three major contributions have been made throughout this paper: (1) the transfer function type of simplified electrochemical model is proposed to address the current-voltage relationship with Pade Approximation method and modified boundary conditions for electrolyte diffusion equations. The model performance has been verified under pulse charge/discharge and dynamic stress test (DST) profiles with the standard derivation less than 0.021 V and the runtime 50 times faster. (2) the parametric relationship between the equivalent circuit model and simplified electrochemical model has been established, which will enhance the comprehension level of two models with more in-depth physical significance and provide new methods for electrochemical model parameter estimation. (3) four simplified electrochemical model parameters: equivalent resistance R eq , effective diffusion coefficient in electrolyte phase D e eff , electrolyte phase volume fraction e and open circuit voltage (OCV), have been identified by the recursive least square (RLS) algorithm with the modified DST profiles under 45, 25 and 0 °C. The simulation results indicate that the proposed model coupled with RLS algorithm can achieve high accuracy for electrochemical parameter identification in dynamic scenarios.

R Gorez - One of the best experts on this subject based on the ideXlab platform.

Lei Jiang - One of the best experts on this subject based on the ideXlab platform.

  • a transfer function type of simplified electrochemical model with modified boundary conditions and Pade Approximation for li ion battery part 1 lithium concentration estimation
    Journal of Power Sources, 2017
    Co-Authors: Shifei Yuan, Lei Jiang, Hongjie Wu, Xi Zhang
    Abstract:

    Abstract To guarantee the safety, high efficiency and long lifetime for lithium-ion battery, an advanced battery management system requires a physics-meaningful yet computationally efficient battery model. The pseudo-two dimensional (P2D) electrochemical model can provide physical information about the lithium concentration and potential distributions across the cell dimension. However, the extensive computation burden caused by the temporal and spatial discretization limits its real-time application. In this research, we propose a new simplified electrochemical model (SEM) by modifying the boundary conditions for electrolyte diffusion equations, which significantly facilitates the analytical solving process. Then to obtain a reduced order transfer function, the Pade Approximation method is adopted to simplify the derived transcendental impedance solution. The proposed model with the reduced order transfer function can be briefly computable and preserve physical meanings through the presence of parameters such as the solid/electrolyte diffusion coefficients (Ds&De) and particle radius. The simulation illustrates that the proposed simplified model maintains high accuracy for electrolyte phase concentration (Ce) predictions, saying 0.8% and 0.24% modeling error respectively, when compared to the rigorous model under 1C-rate pulse charge/discharge and urban dynamometer driving schedule (UDDS) profiles. Meanwhile, this simplified model yields significantly reduced computational burden, which benefits its real-time application.

  • a transfer function type of simplified electrochemical model with modified boundary conditions and Pade Approximation for li ion battery part 2 modeling and parameter estimation
    Journal of Power Sources, 2017
    Co-Authors: Shifei Yuan, Lei Jiang, Hongjie Wu, Xi Zhang
    Abstract:

    Abstract The electrochemistry-based battery model can provide physics-meaningful knowledge about the lithium-ion battery system with extensive computation burdens. To motivate the development of reduced order battery model, three major contributions have been made throughout this paper: (1) the transfer function type of simplified electrochemical model is proposed to address the current-voltage relationship with Pade Approximation method and modified boundary conditions for electrolyte diffusion equations. The model performance has been verified under pulse charge/discharge and dynamic stress test (DST) profiles with the standard derivation less than 0.021 V and the runtime 50 times faster. (2) the parametric relationship between the equivalent circuit model and simplified electrochemical model has been established, which will enhance the comprehension level of two models with more in-depth physical significance and provide new methods for electrochemical model parameter estimation. (3) four simplified electrochemical model parameters: equivalent resistance R eq , effective diffusion coefficient in electrolyte phase D e eff , electrolyte phase volume fraction e and open circuit voltage (OCV), have been identified by the recursive least square (RLS) algorithm with the modified DST profiles under 45, 25 and 0 °C. The simulation results indicate that the proposed model coupled with RLS algorithm can achieve high accuracy for electrochemical parameter identification in dynamic scenarios.