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@PHDTHESIS{Jin:998435,
      author       = {Jin, Limei},
      othercontributors = {Granwehr, Josef and Ponci, Ferdinanda and Lüchow, Arne},
      title        = {{AI}-based simulation of battery system combined with
                      advanced spectroscopy},
      school       = {RWTH Aachen University},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {RWTH Aachen University},
      reportid     = {RWTH-2024-11389},
      pages        = {1 Online-Ressource : Illustrationen},
      year         = {2024},
      note         = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University 2025; Dissertation, RWTH Aachen University, 2024},
      abstract     = {The surge in electric vehicle adoption necessitates the
                      development of high-performance and reliable battery
                      systems. To optimize battery performance and ensure their
                      safe and efficient operation, the Battery Management System
                      (BMS) plays a crucial role. While BMS is commonly utilized
                      at the pack level to oversee the overall health and
                      performance of a battery pack, the recognition of each
                      individual cell with unique operational characteristics
                      within the pack needs more granular and precise management
                      and monitoring at the cell level. Therefore, battery digital
                      twin, which is a real-time, multi-scale virtual
                      representation of the physical battery cell, comes into
                      view. We aim to develop a simplest possible equivalent
                      circuit model-based digital twin. It is designed to
                      accurately reflect the behavior of the actual battery cell
                      under various load conditions. The virtual battery model
                      serves to simulate these conditions and to obtain a wealth
                      of simulated data accordingly. These large amount of data
                      can then be employed by machine learning algorithms to
                      predict the battery's state, providing optimization feedback
                      to enhance the real battery's operation.Equivalent Circuit
                      Modeling (ECM) of Electrochemical Impedance Spectroscopy
                      (EIS) data is a common technique to describe the current
                      state of batteries and can be used as a virtual battery. To
                      characterize ECM parameters in a data supported way, the
                      Gaussian Process Regression (GPR) based Distribution of
                      Relaxation Times (DRT) technique, which simplify EIS data by
                      deconvolution with a suitable kernel, is used to provide the
                      number of distinguishable features based solely on an
                      individual EIS data set. Here a weighted DRT is employed,
                      where weights are tailored based on the frequency-dependent
                      sensitivity of the data, and GPR is utilized to accurately
                      determine these weights. GPR is capable of estimating an
                      suitable weighting matrix from a single data set,
                      potentially enabling automatized DRT inversion without user
                      intervention. The obtained DRT spectrum is then used for the
                      selection of an equivalent circuit model, its initial
                      parametrization, and setting of constraints. Thereby, the
                      ECM parameters that are fitted to experimental EIS data for
                      a single cycle, vary by the State of Charge (SOC).
                      Eventually, by means of the investigated battery it is
                      discussed that using a combination of DRT and ECM, a more
                      physically relevant description of processes in an
                      electrochemical system can be achieved.Unlike SOC,
                      developing a robust and continuous State of Health (SOH)
                      estimation using EIS to build battery digital twins poses a
                      formidable challenge. To bridge the gap between the
                      experiment with data driven techniques that do not rely on
                      fitting of experimental data using a priori models, ECM
                      parameters over a single cycle are expanded in a
                      high-dimensional Chebyshev space. It facilitates not only a
                      mapping of the SOC dependence with robust boundary
                      conditions, but also an extension towards a more abstract
                      SOH description is possible. Due to the long impedance
                      measurement time, the Quasi Monte Carlo (QMC) method can be
                      employed to generate differently aged battery models with
                      limited experimental impedance data. As data becomes
                      available, the space spanning the possible states of a
                      battery can be gradually refined. The developed framework,
                      therefore, allows for the training of big data models
                      starting with very little experimental information and
                      assuming random fluctuations of the model parameters
                      consistent with available data. Battery data, whether
                      obtained through direct measurement or simulation, is
                      inherently complex and high-dimensional. Therefore,
                      detecting anomalies or deciphering the aging pathways from
                      raw data poses significant challenges. To harness effective
                      battery state management, we propose to extract
                      characteristic information from autoencoder latent spaces.
                      First of all, we undertake a comparative analysis of the
                      latent spaces derived from frequency-based impedance data,
                      and from time-based voltage and current data. This
                      comparison provides confidence in the applicability of
                      methods traditionally used for EIS in laboratory
                      environments to the analysis of raw time-series data.
                      Furthermore, in order to estimate realistic battery usage
                      simulation results by incorporating random noise and
                      variations into the data, which is essential for developing
                      robust battery management systems, we compare the latent
                      space trained from ideal sinusoidal data and that from
                      permuted noisy data. The extracted battery features in the
                      latent space were analyzed using Support Vector Machine
                      (SVM) classifiers with both linear and non-linear kernels to
                      segment batteries into three distinct age groups: fresh,
                      aged and damaged cells. The consistent and observable robust
                      aging motion, as depicted by the distribution of classes in
                      the latent space, remains unaffected by the choice of using
                      time-based or frequency-based data, as well as whether the
                      data is ideal or noisy. It underscores the potential and
                      reliability for the development of pseudo-random complex
                      pulse current excitation that can be used for estimating the
                      battery's state, which can then potentially be utilized to
                      inform the development of optimized cell-based load profiles
                      in the future.While EIS offers valuable insights into a
                      battery’s state, real-world battery operation during
                      driving scenarios involves dynamic state changes, where
                      current and voltage signals are far from ideally sinusoidal.
                      To bridge the gap between EIS and real-world driving cycle
                      analysis, we introduce the concept of a stochastic pulse
                      design compatible with the load profile. This approach
                      starts with frequency-based impedance data as a reference
                      and transitions into stochastic pulse signals that act as a
                      weak perturbation in the time domain, thereby providing
                      optimal contrast regrading the battery's state. The
                      systematic generation of stochastic pulse signals is
                      inspired by fractal curves and is limited by constraints of
                      experimental devices. These signals are designed to mimic
                      the variability and unpredictability of real-world battery
                      usage more closely. The current pulse signals are then
                      simulated through the battery models at different SOC/SOH
                      combinations, yielding the corresponding voltage responses.
                      The analysis of this pairwise current/voltage data is also
                      conducted in the latent space of an Autoencoder, which
                      comprises essential features extracted from the input data.
                      Here, traditional EIS data is computed as a reference
                      standard to compare the effects of different pulse sequences
                      against a well-established benchmark in battery analysis.
                      For a visual and quantitative comparison between two latent
                      spaces, Quantile-Quantile (Q-Q) plots are employed to
                      estimate performance among different pulse sequences when
                      replicating the distribution of the EIS-derived latent
                      space. Additionally, their performance can also be visual by
                      latent space segmentation. By correlating the segmentation
                      of latent space with battery aging indicators, we validate
                      the representativeness of our identified best and worst
                      performed pulse signals against conventional EIS data.
                      Furthermore, at certain stages of a battery's aging process,
                      altering the pulse sequence can lead to enhanced performance
                      in terms of age group separation. This insight underscores
                      the potential for adaptive strategies in battery management,
                      where pulse sequences can be dynamically adjusted based on
                      the battery's stage of aging to optimize performance and
                      possibly extend its lifespan.},
      cin          = {155520 / 150000},
      ddc          = {540},
      cid          = {$I:(DE-82)155520_20160614$ / $I:(DE-82)150000_20140620$},
      pnm          = {Helmholtz AI - Helmholtz Artificial Intelligence
                      Coordination Unit – Local Unit FZJ (E.40401.62) / Impuls-
                      und Vernetzungsfonds},
      pid          = {G:(DE-Juel-1)E.40401.62 / G:(DE-HGF)IVF-20140101},
      typ          = {PUB:(DE-HGF)11},
      doi          = {10.18154/RWTH-2024-11389},
      url          = {https://publications.rwth-aachen.de/record/998435},
}