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A system identification approach for non-intrusive reduced order modeling of radiation-induced photocurrents

Journal Article · · Foundations of Data Science
DOI:https://doi.org/10.3934/fods.2024031· OSTI ID:2394696
 [1];  [1]
  1. Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
In this study, development of compact photocurrent models is currently dominated by analytical techniques that rely on physical assumptions to render the governing equations solvable in a closed form. Violation of these assumptions can reduce the accuracy of the models and/or limit their scope. In this paper we show that system identification of nonlinear state-space systems can serve as an alternative numerical basis for non-intrusive reduced order modeling of photocurrent effects. To that end we develop a compact gray box photocurrent model (GBPM) by using a state-space representation with a low-dimensional latent state equation that mimics a mathematical model for the response of an idealized class of devices to ionizing radiation. In so doing we obtain a model that learns the dynamics of a quantity of interest directly from its measurements without requiring snapshots of the internal device state or its discretized model, and can be inferred from very small data sets. To demonstrate the approach we train the GBPM using a small experimental data set for a Z5236 Zener diode and a small synthetic data set obtained by simulating a synthetic pn-junction device. We then compare the GBPMs with black box models trained on the same data and show that performance of the latter is limited by the size of the data set, while the former are able to achieve excellent performance in both the reproductive and the predictive regimes.
Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525
OSTI ID:
2394696
Report Number(s):
SAND--2024-08356J
Journal Information:
Foundations of Data Science, Journal Name: Foundations of Data Science Journal Issue: 1 Vol. 7; ISSN 2639-8001
Publisher:
AIMSCopyright Statement
Country of Publication:
United States
Language:
English

References (37)

The Theory of p-n Junctions in Semiconductors and p-n Junction Transistors journal July 1949
Development of data‐driven exponential integrators with application to modeling of delay photocurrents journal December 2021
Learning compact physics‐aware delayed photocurrent models using dynamic mode decomposition
  • Hanson, Joshua; Bochev, Pavel; Paskaleva, Biliana
  • Statistical Analysis and Data Mining: The ASA Data Science Journal, Vol. 14, Issue 6 https://doi.org/10.1002/sam.11485
journal November 2020
Block-oriented Nonlinear System Identification book August 2010
Practical Recommendations for Gradient-Based Training of Deep Architectures book January 2012
Analysis and Simulation of Semiconductor Devices book January 1984
A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition journal June 2015
Embedded symmetric positive semi-definite machine-learned elements for reduced-order modeling in finite-element simulations with application to threaded fasteners journal May 2024
Data-centric Engineering: integrating simulation, machine learning and statistics. Challenges and opportunities journal February 2022
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms journal December 2020
Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems journal May 2020
Dynamic mode decomposition of numerical and experimental data journal July 2010
A Compact Delayed Photocurrent Model Based on a Reduced Order Data-Driven Exponential Time Integrator conference January 2023
Analytic light—or radiation—induced pn junction photocurrent solutions to the multidimensional ambipolar diffusion equation journal September 2004
Modeling the time-dependent transient radiation response of semiconductor junctions journal January 1992
Photocurrent modeling of modern microcircuit pn junctions journal January 1988
Modeling of high-dose-rate transient ionizing radiation effects in bipolar devices journal October 2001
Asymptotic waveform evaluation for timing analysis journal April 1990
PRIMA: passive reduced-order interconnect macromodeling algorithm
  • Odabasioglu, A.; Celik, M.; Pileggi, L. T.
  • IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, Vol. 17, Issue 8 https://doi.org/10.1109/43.712097
journal January 1998
Reduced-order modeling of time-varying systems journal January 1999
The Behavioral Approach to Open and Interconnected Systems journal November 2007
A new time-dependent analytic compact model for radiation-induced photocurrent in epitaxial structures conference September 2013
Compact reduced-order modeling of weakly nonlinear analog and RF circuits journal February 2005
A New Approach to Modeling Multiport Systems From Frequency-Domain Data journal January 2010
QLMOR: A Projection-Based Nonlinear Model Order Reduction Approach Using Quadratic-Linear Representation of Nonlinear Systems journal September 2011
The modified nodal approach to network analysis journal June 1975
Extended Photocurrent Modeling with Application to Latchup Analysis journal January 1987
Analytic 1-D $pn$ Junction Diode Photocurrent Solutions Following Ionizing Radiation and Including Time-Dependent Changes in the Carrier Lifetime From a Nonconcurrent Neutron Pulse journal December 2010
The Transient Response of Transistors and Diodes to Ionizing Radiation journal November 1964
Model Reduction and Approximation journal January 2017
Dynamic Mode Decomposition with Control journal January 2016
\(\boldsymbol{\mathcal{L}_2}\)-Optimal Reduced-Order Modeling Using Parameter-Separable Forms journal April 2023
A Unifying Framework for Interpolatory \({\boldsymbol{\mathcal{L}_2}}\)-Optimal Reduced-Order Modeling journal September 2023
Advanced Numerical Methods and Software Approaches for Semiconductor Device Simulation journal January 2000
Xyce Parallel Electronic Simulator Users' Guide (Version 7.2) report October 2020
Learning Deep Neural Network Representations for Koopman Operators of Nonlinear Dynamical Systems conference July 2019
Nonlinear Model Order Reduction via Lifting Transformations and Proper Orthogonal Decomposition journal June 2019

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