Enterprise AI Analysis
TCAD-Machine Learning Enabled TID Compact Model Development for Commercial SiC MOSFET
We propose a TCAD-machine learning coupled approach that combines a TCAD tool (Charon), optimization/uncertainty quantification tool (Dakota), surrogate models, and Bayesian learning capabilities. The coupling approach is used for accurate modeling and calibration of total ionizing dose (TID) induced threshold voltage (Vth) shifts in Commercial-Off-The-Shelf (COTS) semiconductor devices and to develop physics-informed TID compact models. This versatile approach is applied to model the TID effect in an exemplar COTS 3.3 kV SiC power MOSFET (Metal-Oxide-Semiconductor Field-Effect Transistor). With the Charon-Dakota coupling, we can determine key device geometry and doping values based on device physics, which are difficult to obtain or not available for COTS devices but important for TCAD simulation; additionally, we can efficiently generate thousands of simulation results in a large parameter space, which makes it possible to develop data-driven surrogate models and perform Bayesian calibration. Utilizing the full tool-coupling approach, we achieve calibrated TCAD simulation models that accurately capture the average TID-induced Vth shifts behavior with total doses and Vth shifts saturation at high doses as observed in experimental data. More importantly, the calibrated TCAD simulations are obtained with determined TID model parameters (e.g., hole trap density and capture cross section) values that contain well quantified uncertainties. Furthermore, we can isolate and quantify the noises that are not captured by the TCAD models but exist in the measured data due to measurements and devices variabilities. Lastly, the calibrated surrogate models are used to develop physics-informed TID compact models. The method is generalizable to other devices and/or radiation conditions with little modifications and can provide well-determined uncertainties.
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TCAD-Machine Learning Coupled Approach
We propose a powerful methodology combining Charon (a TCAD tool), Dakota (optimization/UQ tool), surrogate models, and Bayesian learning. This approach enables accurate modeling and calibration of Total Ionizing Dose (TID) effects, specifically threshold voltage (Vth) shifts, in Commercial-Off-The-Shelf (COTS) semiconductor devices. It facilitates the determination of critical device geometry and doping values, which are often unavailable for COTS parts, and allows for efficient generation of thousands of simulation results for robust data-driven model development and Bayesian calibration.
Critical Device Parameter Estimation
Using the Charon-Dakota coupling, we effectively estimated essential device parameters for a 3.3 kV SiC power MOSFET. This included drift-region doping and thickness, p-well doping, JFET-region n-doping, and channel mobility. These parameters are typically difficult to obtain for COTS devices but are crucial for reliable TCAD simulations. The method involved matching simulated current-voltage curves and breakdown voltages with experimental data, ensuring accuracy in the fundamental device structure and electrical characteristics.
Total Ionizing Dose (TID) Effect Modeling
We focused on modeling and calibrating the TID effect, specifically threshold voltage shifts, in SiC power MOSFETs under high dose rates. The Kimpton TID model, which accounts for field-dependent hole trapping and de-trapping processes, was implemented. This model successfully simulates the saturation of threshold voltage shifts observed at high TID doses. Key parameters like interface hole trap density (Nit), hole capture cross section (σ), and charge yield parameters (Eo, α) were identified for accurate calibration against experimental data.
Accelerating Simulations with Surrogate Models
To overcome the computational expense of direct TCAD simulations, we employed random forest surrogate models. These fast-running statistical emulators were trained on a dataset of 10,000 Charon simulations. The surrogate models accurately predicted threshold voltage shifts, achieving an R² of 0.9986. This approach significantly accelerated the parameter estimation and Bayesian calibration process, allowing for extensive exploration of the parameter space that would be intractable with direct TCAD evaluations.
Quantifying Uncertainty with Bayesian Calibration
We leveraged Bayesian inverse problems to estimate TID model parameters, capturing their inherent uncertainties as probability density functions (PDFs). Using a Delayed Rejection Adaptive Metropolis (DRAM) sampler with the surrogate model, we calibrated parameters (Nit, σ, Eo, α) against experimental data from IBL, ACRR, and LINAC facilities. This yielded well-quantified uncertainties for key parameters, allowing for accurate prediction of TID-induced Vth shifts and robust noise quantification in the measured data.
Enterprise Process Flow
| Parameter | IBL (MAP, 90% CI) | ACRR (MAP, 90% CI) | LINAC (MAP, 90% CI) |
|---|---|---|---|
| Nit (Trap density) [cm-2] | 4.346 × 1012 (4.21 - 4.66 × 1012) | 4.623 × 1012 (4.4 - 4.96 × 1012) | 1.531 × 1012 (1.47 - 1.67 × 1012) |
| σ (Capture cross-section) [cm2] | 5.03 × 10-13 (4.62 - 5.41 × 10-13) | 6.14 × 10-13 (5.79 - 6.55 × 10-13) | 8.369 × 10-13 (7.04 - 9.27 × 10-13) |
TCAD-ML Success: SiC MOSFET TID Response
This study successfully applied the TCAD-machine learning coupled approach to model Total Ionizing Dose (TID) induced threshold voltage (Vth) shifts in a commercial 3.3 kV SiC power MOSFET. By integrating Charon (TCAD), Dakota (optimization), surrogate models, and Bayesian calibration, we developed physics-informed compact models. These models accurately reproduce experimental observations, including Vth shifts and saturation at high doses, while providing quantified uncertainties for key TID model parameters like hole trap density and capture cross section. This methodology is generalizable and offers a robust path for predictive radiation-response modeling.
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