Christian Hartmann;Casper Klop;Runar Mellerud;Jonas Kristiansen Nøland
{"title":"超导体临界电流和n值神经网络建模中一种改进的数据调理方法","authors":"Christian Hartmann;Casper Klop;Runar Mellerud;Jonas Kristiansen Nøland","doi":"10.1109/TASC.2025.3599231","DOIUrl":null,"url":null,"abstract":"As high-temperature superconductors (HTS) are increasingly being considered for ac applications, it is essential to model the ac losses accurately. Conventional Kim-type critical current models often fail to capture the temperature dependence or high-field anisotropy of HTS materials. By contrast, artificial neural networks (ANNs) can capture parameter variations over large temperature and magnetic field ranges. However, training ANNs properly is challenging when the available experimental data are scarce or scattered. This article introduces an interactive method to transform raw experimental datasets into smooth and conditioned training sets. These extensive datasets are excellent for training ANN models of both critical current and power-law index parameters with standard machine learning tools. The method has been validated on three HTS products. All R-values exceed 0.96, and the models show no spurious behavior. Self-field fluctuations stay below <inline-formula><tex-math>$\\mathbf {\\pm }$</tex-math></inline-formula>0.71%, and there are no excessively steep partial derivatives. In comparison, ANN models trained directly on the raw data yield self-field fluctuations up to <inline-formula><tex-math>$\\mathbf {\\pm }$</tex-math></inline-formula>22.9<bold>%</b>, and the partial derivatives reach unacceptable values for the n-value models. These findings indicate that ANN-based HTS models can improve modeling accuracy in ac applications by at least one order of magnitude.","PeriodicalId":13104,"journal":{"name":"IEEE Transactions on Applied Superconductivity","volume":"35 7","pages":"1-11"},"PeriodicalIF":1.8000,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Improved Data Conditioning Method for Neural Network Modeling of Superconductor Critical Currents and n-Values\",\"authors\":\"Christian Hartmann;Casper Klop;Runar Mellerud;Jonas Kristiansen Nøland\",\"doi\":\"10.1109/TASC.2025.3599231\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"As high-temperature superconductors (HTS) are increasingly being considered for ac applications, it is essential to model the ac losses accurately. Conventional Kim-type critical current models often fail to capture the temperature dependence or high-field anisotropy of HTS materials. By contrast, artificial neural networks (ANNs) can capture parameter variations over large temperature and magnetic field ranges. However, training ANNs properly is challenging when the available experimental data are scarce or scattered. This article introduces an interactive method to transform raw experimental datasets into smooth and conditioned training sets. These extensive datasets are excellent for training ANN models of both critical current and power-law index parameters with standard machine learning tools. The method has been validated on three HTS products. All R-values exceed 0.96, and the models show no spurious behavior. Self-field fluctuations stay below <inline-formula><tex-math>$\\\\mathbf {\\\\pm }$</tex-math></inline-formula>0.71%, and there are no excessively steep partial derivatives. In comparison, ANN models trained directly on the raw data yield self-field fluctuations up to <inline-formula><tex-math>$\\\\mathbf {\\\\pm }$</tex-math></inline-formula>22.9<bold>%</b>, and the partial derivatives reach unacceptable values for the n-value models. These findings indicate that ANN-based HTS models can improve modeling accuracy in ac applications by at least one order of magnitude.\",\"PeriodicalId\":13104,\"journal\":{\"name\":\"IEEE Transactions on Applied Superconductivity\",\"volume\":\"35 7\",\"pages\":\"1-11\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2025-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Applied Superconductivity\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/11125959/\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Applied Superconductivity","FirstCategoryId":"101","ListUrlMain":"https://ieeexplore.ieee.org/document/11125959/","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
An Improved Data Conditioning Method for Neural Network Modeling of Superconductor Critical Currents and n-Values
As high-temperature superconductors (HTS) are increasingly being considered for ac applications, it is essential to model the ac losses accurately. Conventional Kim-type critical current models often fail to capture the temperature dependence or high-field anisotropy of HTS materials. By contrast, artificial neural networks (ANNs) can capture parameter variations over large temperature and magnetic field ranges. However, training ANNs properly is challenging when the available experimental data are scarce or scattered. This article introduces an interactive method to transform raw experimental datasets into smooth and conditioned training sets. These extensive datasets are excellent for training ANN models of both critical current and power-law index parameters with standard machine learning tools. The method has been validated on three HTS products. All R-values exceed 0.96, and the models show no spurious behavior. Self-field fluctuations stay below $\mathbf {\pm }$0.71%, and there are no excessively steep partial derivatives. In comparison, ANN models trained directly on the raw data yield self-field fluctuations up to $\mathbf {\pm }$22.9%, and the partial derivatives reach unacceptable values for the n-value models. These findings indicate that ANN-based HTS models can improve modeling accuracy in ac applications by at least one order of magnitude.
期刊介绍:
IEEE Transactions on Applied Superconductivity (TAS) contains articles on the applications of superconductivity and other relevant technology. Electronic applications include analog and digital circuits employing thin films and active devices such as Josephson junctions. Large scale applications include magnets for power applications such as motors and generators, for magnetic resonance, for accelerators, and cable applications such as power transmission.