Presented here are the Generalized BCS Equations incorporating Fermi Energy for the study of the {Δ, Tc, jc(T)} values of both elemental and composite superconductors (SCs) for all T ≤ Tc, where Δ, Tc and jc(T) den...Presented here are the Generalized BCS Equations incorporating Fermi Energy for the study of the {Δ, Tc, jc(T)} values of both elemental and composite superconductors (SCs) for all T ≤ Tc, where Δ, Tc and jc(T) denote, respectively, one of the gap values, the critical temperature and the T-dependent critical current density. This framework, which extends our earlier study that dealt with the {Δ0, Tc, jc(0)} values of an SC, is also shown to lead to T-dependent values of several other related parameters such as the effective mass of electrons, their number density, critical velocity, Fermi velocity (VF), coherence length and the London penetration depth. The extended framework is applied to the jc(T) data reported by Romijn et al. for superconducting Aluminium strips and is shown not only to provide an alternative to the explanation given by them, but also to some novel features such as the role of the Sommerfeld coefficient γ(T) in the context of jc(T) and the role of VF(T) in the context of a recent finding by Plumb et al. about the superconductivity of Bi-2212.展开更多
The problems of stability and state feedback control for a class of discrete-time T-S fuzzy descriptor systems are investigated in this paper. Based on fuzzy Lyapunov function,a set of slack variables is introduced to...The problems of stability and state feedback control for a class of discrete-time T-S fuzzy descriptor systems are investigated in this paper. Based on fuzzy Lyapunov function,a set of slack variables is introduced to remove the basic semi-definite matrix inequality condition to check the regularity,causality and stability of discrete-time T-S fuzzy descriptor systems; a new sufficient condition for the discrete-time T-S fuzzy descriptor systems to be admissible is proposed in terms of strict linear matrix inequalities( LMIs). And a sufficient condition is proposed for the existence of state feedback controller in terms of a set of coupled strict LMIs.Finally,an illustrative example is presented to demonstrate the effectiveness of the proposed approach.展开更多
1.Origins and DevelopmentHuazhong University of Science andTechnology(H.U.S.T.)is one of the leadinguniversities in China directly under the StateCommission for Education.H.U.S.T.was founded by gathering thefaculty an...1.Origins and DevelopmentHuazhong University of Science andTechnology(H.U.S.T.)is one of the leadinguniversities in China directly under the StateCommission for Education.H.U.S.T.was founded by gathering thefaculty and students as well as the equip-展开更多
A multivariate Student’s t-distribution is derived by analogy to the derivation of a multivariate normal (Gaussian) probability density function. This multivariate Student’s t-distribution can have different shape p...A multivariate Student’s t-distribution is derived by analogy to the derivation of a multivariate normal (Gaussian) probability density function. This multivariate Student’s t-distribution can have different shape parameters for the marginal probability density functions of the multivariate distribution. Expressions for the probability density function, for the variances, and for the covariances of the multivariate t-distribution with arbitrary shape parameters for the marginals are given.展开更多
In the present paper, a new difference matrix via difference operator D is introduced. Let x = （xk） be a sequence of real numbers, then the difference operatorD is defined by D（x）n =∑kn=0（-1）k（n-kn）xk,where ...In the present paper, a new difference matrix via difference operator D is introduced. Let x = （xk） be a sequence of real numbers, then the difference operatorD is defined by D（x）n =∑kn=0（-1）k（n-kn）xk,where n = 0,1,2,3,.... Several interestingproperties of the new operator D are discussed.展开更多
Large-scale cryogenic air separation units(ASUs),which are widely used in global petrochemical and semiconductor industries,are being developed with high operating elasticity under variable working conditions.Differen...Large-scale cryogenic air separation units(ASUs),which are widely used in global petrochemical and semiconductor industries,are being developed with high operating elasticity under variable working conditions.Different from discrete processes in traditional machinery manufacturing,the ASU process is continuous and involves the compression,adsorption,cooling,condensation,liquefaction,evaporation,and distillation of multiple streams.This feature indicates that thousands of technical parameters in adsorption,heat transfer,and distillation processes are correlated and merged into a large-scale complex system.A lumped parameter model(LPM)of ASU is proposed by lumping the main factors together and simplifying the secondary ones to achieve accurate and fast performance design.On the basis of material and energy conservation laws,the piecewise-lumped parameters are extracted under variable working conditions by using LPM.Takagi–Sugeno(T–S)fuzzy interval detection is recursively utilized to determine whether the critical point is detected or not by using different thresholds.Compared with the traditional method,LPM is particularly suitable for“rough first then precise”modeling by expanding the feasible domain using fuzzy intervals.With LPM,the performance of the air compressor,molecular sieve adsorber,turbo expander,main plate-fin heat exchangers,and packing column of a 100000 Nm3 O2/h large-scale ASU is enhanced to adapt to variable working conditions.The designed value of net power consumption per unit of oxygen production(kW/(Nm3 O2))is reduced by 6.45%.展开更多
文摘Presented here are the Generalized BCS Equations incorporating Fermi Energy for the study of the {Δ, Tc, jc(T)} values of both elemental and composite superconductors (SCs) for all T ≤ Tc, where Δ, Tc and jc(T) denote, respectively, one of the gap values, the critical temperature and the T-dependent critical current density. This framework, which extends our earlier study that dealt with the {Δ0, Tc, jc(0)} values of an SC, is also shown to lead to T-dependent values of several other related parameters such as the effective mass of electrons, their number density, critical velocity, Fermi velocity (VF), coherence length and the London penetration depth. The extended framework is applied to the jc(T) data reported by Romijn et al. for superconducting Aluminium strips and is shown not only to provide an alternative to the explanation given by them, but also to some novel features such as the role of the Sommerfeld coefficient γ(T) in the context of jc(T) and the role of VF(T) in the context of a recent finding by Plumb et al. about the superconductivity of Bi-2212.
基金Sponsored by the National Natural Science Foundation of China(Grant No.61004038)
文摘The problems of stability and state feedback control for a class of discrete-time T-S fuzzy descriptor systems are investigated in this paper. Based on fuzzy Lyapunov function,a set of slack variables is introduced to remove the basic semi-definite matrix inequality condition to check the regularity,causality and stability of discrete-time T-S fuzzy descriptor systems; a new sufficient condition for the discrete-time T-S fuzzy descriptor systems to be admissible is proposed in terms of strict linear matrix inequalities( LMIs). And a sufficient condition is proposed for the existence of state feedback controller in terms of a set of coupled strict LMIs.Finally,an illustrative example is presented to demonstrate the effectiveness of the proposed approach.
文摘1.Origins and DevelopmentHuazhong University of Science andTechnology(H.U.S.T.)is one of the leadinguniversities in China directly under the StateCommission for Education.H.U.S.T.was founded by gathering thefaculty and students as well as the equip-
文摘A multivariate Student’s t-distribution is derived by analogy to the derivation of a multivariate normal (Gaussian) probability density function. This multivariate Student’s t-distribution can have different shape parameters for the marginal probability density functions of the multivariate distribution. Expressions for the probability density function, for the variances, and for the covariances of the multivariate t-distribution with arbitrary shape parameters for the marginals are given.
文摘In the present paper, a new difference matrix via difference operator D is introduced. Let x = （xk） be a sequence of real numbers, then the difference operatorD is defined by D（x）n =∑kn=0（-1）k（n-kn）xk,where n = 0,1,2,3,.... Several interestingproperties of the new operator D are discussed.
基金This work was funded by the National Natural Science Foundation of China(Grant Nos.51775494,51821093,and 51935009)the National Key Research and Development Project(Grant No.2018YFB1700701)Zhejiang Key Research and Development Project(Grant No.2019C01141).
文摘Large-scale cryogenic air separation units(ASUs),which are widely used in global petrochemical and semiconductor industries,are being developed with high operating elasticity under variable working conditions.Different from discrete processes in traditional machinery manufacturing,the ASU process is continuous and involves the compression,adsorption,cooling,condensation,liquefaction,evaporation,and distillation of multiple streams.This feature indicates that thousands of technical parameters in adsorption,heat transfer,and distillation processes are correlated and merged into a large-scale complex system.A lumped parameter model(LPM)of ASU is proposed by lumping the main factors together and simplifying the secondary ones to achieve accurate and fast performance design.On the basis of material and energy conservation laws,the piecewise-lumped parameters are extracted under variable working conditions by using LPM.Takagi–Sugeno(T–S)fuzzy interval detection is recursively utilized to determine whether the critical point is detected or not by using different thresholds.Compared with the traditional method,LPM is particularly suitable for“rough first then precise”modeling by expanding the feasible domain using fuzzy intervals.With LPM,the performance of the air compressor,molecular sieve adsorber,turbo expander,main plate-fin heat exchangers,and packing column of a 100000 Nm3 O2/h large-scale ASU is enhanced to adapt to variable working conditions.The designed value of net power consumption per unit of oxygen production(kW/(Nm3 O2))is reduced by 6.45%.
