A Multi-Fidelity Polynomial Chaos Approach for Uncertainty Quantification of MWCNT Interconnect Networks in the Presence of Imperfect Contacts

Guglani, Surila; Dimple, Km; Kaushik, Brajesh Kumar; Roy, Sourajeet; Sharma, Rohit

doi:10.1109/spi52361.2021.9505239

Cited by 2 publications

(37 citation statements)

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“…Currently, surrogate modeling or metamodeling techniques such as the generalized polynomial chaos (PC) approach have become the method of choice for the UQ of MWCNT interconnect networks [8]- [12]. The PC approach expresses the network transient responses as linear combinations of orthonormal polynomial basis functions of random variables.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Several numerical strategies such as compressed sensing [15], [16], dimension and/or basis reduction [17]- [22], and multi-fidelity algorithms [10]- [12], [23][24][25][26][27][28] have been reported to address the curse of dimensionality. Of these, multi-fidelity algorithms are particularly well-suited for MWCNT interconnect networks [10]- [12]. Previous works have demonstrated that multi-fidelity algorithms can crosscut the numerical efficiency of a low-fidelity equivalent single conductor (ESC) model of MWCNTs [29] with the accuracy of a high-fidelity multiconductor circuit (MCC) model to achieve a far better accuracy versus time cost tradeoff when training PC metamodels than what is possible using MCC model simulations alone [10], [11].…”

Section: Introductionmentioning

confidence: 99%

“…Now, for most cases, the ESC model results are well-correlated with the MCC model results. However, one exception to this rule is when there is variation in the imperfect contact resistance of the different shells in a MWCNT conductor [12]. To better understand why this is so, recall that the ESC model collapses the multiple shells of an MWCNT conductor into a single shell where the equivalent imperfect contact resistance of this single shell is the parallel combination of the imperfect contact resistances of all the individual shells.…”

Section: Introductionmentioning

confidence: 99%

“…This incorrect treatment of the imperfect contact resistances weakens the otherwise strong correlation existing between the ESC and MCC model results of the network. In such scenarios, conventional multi-fidelity algorithms usually fail to provide any numerical efficiency [12].…”

Section: Introductionmentioning

confidence: 99%

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A Bilevel Multi-Fidelity Polynomial Chaos Approach for the Uncertainty Quantification of MWCNT Interconnect Networks With Variable Imperfect Contact Resistances

et al. 2022

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With on-chip copper interconnects reaching their performance limits at 22 nanometer technology nodes, multi-walled carbon nanotube (MWCNT) interconnects are projected to replace them below this point. A major aspect of MWCNT interconnect design is to perform uncertainty quantification (UQ) in an efficient yet accurate manner. In this paper, a polynomial chaos (PC) based approach is developed for the UQ of MWCNT interconnect networks under the condition that some shells of each conductor of the network are perfectly contacted while others are imperfectly contacted. The key feature of the proposed approach is the development of a bilevel multi-fidelity algorithm where two different low-fidelity models are combined together. The main outcome of using this bilevel approach is to further reduce the computational time cost of state-of-the-art single level multi-fidelity algorithms, especially in the presence of variable imperfect contact resistances where single level multi-fidelity algorithms fail to provide much speedup over conventional PC approaches. The proposed approach adopts a SPICE hybrid model that combines the features of the equivalent single conductor (ESC) model and the rigorous multiconductor circuit (MCC) model of the MWCNT conductors. Then the low-fidelity ESC model, the intermediate-fidelity hybrid model, and the highfidelity MCC model are exploited in a bilevel multi-fidelity algorithm for the recovery of the PC metamodel of the interconnect network. This proposed bilevel multi-fidelity algorithm is demonstrably 3-5x more numerically efficient than state-of-the-art single level multi-fidelity algorithms while being even more accurate. Once recovered, the PC metamodel is used to derive all statistical information of the network transient responses.

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Section: Introductionmentioning

confidence: 99%