在电机的应用中,永磁同步电机的数学模型可以是在d/q模型或者a b c模型下建立。本文为了更好地实现永磁同步电机的矢量控制,在永磁同步电机的电压、电流、磁链的关系表达式基础上,运用MATLAB建立了其数学模型下的仿真模型,并结合park和c...在电机的应用中,永磁同步电机的数学模型可以是在d/q模型或者a b c模型下建立。本文为了更好地实现永磁同步电机的矢量控制,在永磁同步电机的电压、电流、磁链的关系表达式基础上,运用MATLAB建立了其数学模型下的仿真模型,并结合park和clarke变换对所建立的数学仿真模型进行了验证。仿真结果表明所建立的永磁同步电机模型的正确性。由此为永磁同步电机的调速问题提供了更简化的模型和更广泛的应用范围。展开更多
The goal of this paper is to deal with a new dynamic system called a differential evolution hemivariational inequality(DEHVI)which couples an abstract parabolic evolution hemivariational inequality and a nonlinear dif...The goal of this paper is to deal with a new dynamic system called a differential evolution hemivariational inequality(DEHVI)which couples an abstract parabolic evolution hemivariational inequality and a nonlinear differential equation in a Banach space.First,by apply ing surjectivity result for pseudomonotone multivalued mappins and the properties of Clarke's subgradient,we show the nonempty of the solution set for the parabolic hemivariational inequality.Then,some topological properties of the solution set are established such as boundedness,closedness and convexity.Furthermore,we explore the upper semicontinuity of the solution mapping.Finally,we prove the solution set of the system(DEHVI)is nonempty and the set of all trajectories of(DEHVI)is weakly compact in C(I,X).展开更多
The paper presents the main conclusions of the Russian monograph “Geochemistry of Phosphorus” (2020). Based on statistical processing of ~6100 sample averages (from ~190,000 analyses), new estimations of World avera...The paper presents the main conclusions of the Russian monograph “Geochemistry of Phosphorus” (2020). Based on statistical processing of ~6100 sample averages (from ~190,000 analyses), new estimations of World averages (Clarke values) for Р<sub>2</sub>O<sub>5</sub>, % (and P, %), phosphorus-titanium module (P<sub>2</sub>О<sub>5</sub>/TiO<sub>2</sub>), phosphorus-calcium module (P<sub>2</sub>O<sub>5</sub>/CaO), phosphorus-iron module (P<sub>2</sub>О<sub>5</sub>/Fe<sub>2</sub>O<sub>3</sub>), and phosphorus-total iron module (P<sub>2</sub>O<sub>5</sub>/Fe<sub>2</sub>O<sub>3</sub> + FeO). Many estimates have been made for the first time. In addition to the new Clarke estimates, sometimes very different from previous ones, the work carried out has led to a number of new conclusions. In particular, the titanium geochemical barrier for phosphorus has been first estimated, all the 11 genotypes of phosphogenesis have been named and characterized, five genetic correlations of phosphogenesis have been described, lithochemistry methods have been successfully applied to characterize the phosphorites. Due to the large breadth of generalization, the monograph has a large theoretical and applied value.展开更多
The purpose of this paper is to study a regularization method of solutions of ill-posed problems involving hemivariational inequalities in Banach spaces. Under the assumption that the hemivariational inequality is sol...The purpose of this paper is to study a regularization method of solutions of ill-posed problems involving hemivariational inequalities in Banach spaces. Under the assumption that the hemivariational inequality is solvable, a strongly convergent approximation procedure is designed by means of the so-called Browder-Tikhonov regularization method. Our results generalize and extend the previously known theorems.展开更多
Ioffe’s approximate subdifferentials are reviewed and some of his resultsare generalized.An extension of the calculus of the approximate subdifferentials forthe sums to any finite number of functions is provided alon...Ioffe’s approximate subdifferentials are reviewed and some of his resultsare generalized.An extension of the calculus of the approximate subdifferentials forthe sums to any finite number of functions is provided along with a generalizationof the Dubovitzkii-Milyutin theorem.The presentation also indicates some of thelimitations of nonsmooth analysis and optimization.Restriction to the class offunction which is suitable for most of the purposes in nonsmooth optimization issuggested.展开更多
In this paper, we mainly consider proximal subdifferentials of lower semicontinuous functions defined on real Hilbert space and Clarke＇s subdifferentials of locally Lipschitzian functions defined on Banach space resp...In this paper, we mainly consider proximal subdifferentials of lower semicontinuous functions defined on real Hilbert space and Clarke＇s subdifferentials of locally Lipschitzian functions defined on Banach space respectively, and obtain the generalized Euler identity of homogenous functions. Then, by introducing a multifunction F, we extend the smoothness of sphere and differentiability of norm function in Banach space.展开更多
Based on the differential properties of the smoothing metric projector onto the second-order cone,we prove that,for a locally optimal solution to a nonlinear second-order cone programming problem,the nonsingularity of...Based on the differential properties of the smoothing metric projector onto the second-order cone,we prove that,for a locally optimal solution to a nonlinear second-order cone programming problem,the nonsingularity of the Clarke's generalized Jacobian of the smoothing Karush-Kuhn-Tucker system,constructed by the smoothing metric projector,is equivalent to the strong second-order sufficient condition and constraint nondegeneracy,which is in turn equivalent to the strong regularity of the Karush-Kuhn-Tucker point.Moreover,this nonsingularity property guarantees the quadratic convergence of the corresponding smoothing Newton method for solving a Karush-Kuhn-Tucker point.Interestingly,the analysis does not need the strict complementarity condition.展开更多
[Objective] The aim was to investigate the influence of different size of ground Cyanotis arachnoidea C.B.Clarke particles on the release of β-ecdysone.[Method] The content of β-ecdysone extracted from Cyanotis arac...[Objective] The aim was to investigate the influence of different size of ground Cyanotis arachnoidea C.B.Clarke particles on the release of β-ecdysone.[Method] The content of β-ecdysone extracted from Cyanotis arachnoidea powders of different sizes was detected through HPLC,under the chromatographic conditions：GRACE ODS C18 column（250 mm × 4.6 mm,5 μm）,mobile phase methanol：water= 40：60（V/V）,column temperature 26 ℃,flow rate 1.0 ml/min and detection wavelength 248 nm.[Result] The extracted β-ecdysone from ultra-fine Cyanotis arachnoidea powder（particle size 10,30 and 50 μm） was as more than two folds as common powder（particle size 180 μm）.[Conclusion] The β-ecdysone in ultra-fine powder of Cyanotis arachnoidea was more easily soluble in methanol.The extraction rate of β-ecdysone was significantly higher than that of common powder.The result showed that the technology of ultra-fine pulverization markedly improved the dissolution of the β-ecdysone for increasing the cell breakage rate,and then the active ingredients could be extracted more easily.展开更多
Clarke’s matrix has been applied as a phase-mode transformation matrix to three-phase transmission lines substituting the eigenvector matrices. Considering symmetrical untransposed three-phase lines, an actual symmet...Clarke’s matrix has been applied as a phase-mode transformation matrix to three-phase transmission lines substituting the eigenvector matrices. Considering symmetrical untransposed three-phase lines, an actual symmetrical three-phase line on untransposed conditions is associated with Clarke’s matrix for error and frequency scan analyses in this paper. Error analyses are calculated for the eigenvalue diagonal elements obtained from Clarke’s matrix. The eigenvalue off-diagonal elements from the Clarke’s matrix application are compared to the correspondent exact eigenvalues. Based on the characteristic impedance and propagation function values, the frequency scan analyses show that there are great differences between the Clarke’s matrix results and the exact ones, considering frequency values from 10 kHz to 1 MHz. A correction procedure is applied obtaining two new transformation matrices. These matrices lead to good approximated results when compared to the exact ones. With the correction procedure applied to Clarke’s matrix, the relative values of the eigenvalue matrix off-diagonal element obtained from Clarke’s matrix are decreased while the frequency scan results are improved. The steps of correction procedure application are detailed, investigating the influence of each step on the obtained two new phase-mode transformation matrices.展开更多
In this paper we prove the existence and uniqueness of a weak solution for a dynamic electo-viscoetastic problem that describes a contact between a body and a foundation. We assume the body is made from thermoviscoela...In this paper we prove the existence and uniqueness of a weak solution for a dynamic electo-viscoetastic problem that describes a contact between a body and a foundation. We assume the body is made from thermoviscoelastic material and consider nonmonotone boundary conditions for the contact. We use recent results from the theory of hemivariational inequalities and the fixed point theory.展开更多
In this paper, we study error bounds for lower semicontinuous functions defined on Banach space and linear regularity for finitely many closed subset in Banach spaces. By using Clarke＇s subd- ifferentials and Ekeland...In this paper, we study error bounds for lower semicontinuous functions defined on Banach space and linear regularity for finitely many closed subset in Banach spaces. By using Clarke＇s subd- ifferentials and Ekeland variational principle, we establish several sufficient conditions ensuring error bounds and linear regularity in Banach spaces.展开更多
文摘在电机的应用中,永磁同步电机的数学模型可以是在d/q模型或者a b c模型下建立。本文为了更好地实现永磁同步电机的矢量控制,在永磁同步电机的电压、电流、磁链的关系表达式基础上,运用MATLAB建立了其数学模型下的仿真模型,并结合park和clarke变换对所建立的数学仿真模型进行了验证。仿真结果表明所建立的永磁同步电机模型的正确性。由此为永磁同步电机的调速问题提供了更简化的模型和更广泛的应用范围。
基金NSF of Guangxi(Grant No.2023GXNSFAA026085)Guangxi Science and Technology Department Specific Research Project of Guangxi for Research Bases and Talents(Grant No.AD23023001)+1 种基金NNSF of China Grant Nos.12071413,12111530282 the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECHthe Innovation Project of Guangxi University for Nationalities(Grant No.gxun-chxps202072)。
文摘The goal of this paper is to deal with a new dynamic system called a differential evolution hemivariational inequality(DEHVI)which couples an abstract parabolic evolution hemivariational inequality and a nonlinear differential equation in a Banach space.First,by apply ing surjectivity result for pseudomonotone multivalued mappins and the properties of Clarke's subgradient,we show the nonempty of the solution set for the parabolic hemivariational inequality.Then,some topological properties of the solution set are established such as boundedness,closedness and convexity.Furthermore,we explore the upper semicontinuity of the solution mapping.Finally,we prove the solution set of the system(DEHVI)is nonempty and the set of all trajectories of(DEHVI)is weakly compact in C(I,X).
文摘The paper presents the main conclusions of the Russian monograph “Geochemistry of Phosphorus” (2020). Based on statistical processing of ~6100 sample averages (from ~190,000 analyses), new estimations of World averages (Clarke values) for Р<sub>2</sub>O<sub>5</sub>, % (and P, %), phosphorus-titanium module (P<sub>2</sub>О<sub>5</sub>/TiO<sub>2</sub>), phosphorus-calcium module (P<sub>2</sub>O<sub>5</sub>/CaO), phosphorus-iron module (P<sub>2</sub>О<sub>5</sub>/Fe<sub>2</sub>O<sub>3</sub>), and phosphorus-total iron module (P<sub>2</sub>O<sub>5</sub>/Fe<sub>2</sub>O<sub>3</sub> + FeO). Many estimates have been made for the first time. In addition to the new Clarke estimates, sometimes very different from previous ones, the work carried out has led to a number of new conclusions. In particular, the titanium geochemical barrier for phosphorus has been first estimated, all the 11 genotypes of phosphogenesis have been named and characterized, five genetic correlations of phosphogenesis have been described, lithochemistry methods have been successfully applied to characterize the phosphorites. Due to the large breadth of generalization, the monograph has a large theoretical and applied value.
基金This work was supported by the National Natural Science Foundation of China(Grant No.10171008)the Natural Science Foundation of Hunan Province(Grant No.05JJ20003).
文摘The purpose of this paper is to study a regularization method of solutions of ill-posed problems involving hemivariational inequalities in Banach spaces. Under the assumption that the hemivariational inequality is solvable, a strongly convergent approximation procedure is designed by means of the so-called Browder-Tikhonov regularization method. Our results generalize and extend the previously known theorems.
文摘Ioffe’s approximate subdifferentials are reviewed and some of his resultsare generalized.An extension of the calculus of the approximate subdifferentials forthe sums to any finite number of functions is provided along with a generalizationof the Dubovitzkii-Milyutin theorem.The presentation also indicates some of thelimitations of nonsmooth analysis and optimization.Restriction to the class offunction which is suitable for most of the purposes in nonsmooth optimization issuggested.
基金Supported by Natural Science Foundation of Yunnan University (Grant No. 2007Z005C)National Natural Science Foundation of China (Grant No. 10761012)
文摘In this paper, we mainly consider proximal subdifferentials of lower semicontinuous functions defined on real Hilbert space and Clarke＇s subdifferentials of locally Lipschitzian functions defined on Banach space respectively, and obtain the generalized Euler identity of homogenous functions. Then, by introducing a multifunction F, we extend the smoothness of sphere and differentiability of norm function in Banach space.
基金supported by National Natural Science Foundation of China (Grant Nos.10771026,10901094)the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry of China
文摘Based on the differential properties of the smoothing metric projector onto the second-order cone,we prove that,for a locally optimal solution to a nonlinear second-order cone programming problem,the nonsingularity of the Clarke's generalized Jacobian of the smoothing Karush-Kuhn-Tucker system,constructed by the smoothing metric projector,is equivalent to the strong second-order sufficient condition and constraint nondegeneracy,which is in turn equivalent to the strong regularity of the Karush-Kuhn-Tucker point.Moreover,this nonsingularity property guarantees the quadratic convergence of the corresponding smoothing Newton method for solving a Karush-Kuhn-Tucker point.Interestingly,the analysis does not need the strict complementarity condition.
基金Supported by Major Project for International Cooperation in Zhejiang(2009C14019)"948"Project of Ministry of Agriculture(2010-Z40)+3 种基金Major Project from Department of Education of Zhejiang(ZD2009009)Huzhou Major Science and Technology Project(2010ZD1002)the National Natural Science Foundation of China(20977027)Science and Technology Innovation Program for Under graduate Students in Zhejiang Province(2011R425009)~~
文摘[Objective] The aim was to investigate the influence of different size of ground Cyanotis arachnoidea C.B.Clarke particles on the release of β-ecdysone.[Method] The content of β-ecdysone extracted from Cyanotis arachnoidea powders of different sizes was detected through HPLC,under the chromatographic conditions：GRACE ODS C18 column（250 mm × 4.6 mm,5 μm）,mobile phase methanol：water= 40：60（V/V）,column temperature 26 ℃,flow rate 1.0 ml/min and detection wavelength 248 nm.[Result] The extracted β-ecdysone from ultra-fine Cyanotis arachnoidea powder（particle size 10,30 and 50 μm） was as more than two folds as common powder（particle size 180 μm）.[Conclusion] The β-ecdysone in ultra-fine powder of Cyanotis arachnoidea was more easily soluble in methanol.The extraction rate of β-ecdysone was significantly higher than that of common powder.The result showed that the technology of ultra-fine pulverization markedly improved the dissolution of the β-ecdysone for increasing the cell breakage rate,and then the active ingredients could be extracted more easily.
文摘Clarke’s matrix has been applied as a phase-mode transformation matrix to three-phase transmission lines substituting the eigenvector matrices. Considering symmetrical untransposed three-phase lines, an actual symmetrical three-phase line on untransposed conditions is associated with Clarke’s matrix for error and frequency scan analyses in this paper. Error analyses are calculated for the eigenvalue diagonal elements obtained from Clarke’s matrix. The eigenvalue off-diagonal elements from the Clarke’s matrix application are compared to the correspondent exact eigenvalues. Based on the characteristic impedance and propagation function values, the frequency scan analyses show that there are great differences between the Clarke’s matrix results and the exact ones, considering frequency values from 10 kHz to 1 MHz. A correction procedure is applied obtaining two new transformation matrices. These matrices lead to good approximated results when compared to the exact ones. With the correction procedure applied to Clarke’s matrix, the relative values of the eigenvalue matrix off-diagonal element obtained from Clarke’s matrix are decreased while the frequency scan results are improved. The steps of correction procedure application are detailed, investigating the influence of each step on the obtained two new phase-mode transformation matrices.
基金the Natural Science Foundation of China(Grant No.10471159,No.10171118)the key project of the Chinese Ministry of Education,Supported by Program for New Century Excellent Talents in University,Education Commission project Research Foundation of Chongqing(Grant No.K J060818,KJ060804)+1 种基金the Research Fund for the Doctoral Program of Chongqing Normal University(Grant No.06XLB023)the project supported by Chongqing Key Laboratory of Operations Research and System Engineering.
基金supported by the Marie Curie International Research Staff Exchange Scheme Fellowship within the 7th European Community Framework Programme under Grant Agreement No.295118the National Science Center of Poland under the Maestro Advanced Project No.DEC-2012/06/A/ST1/00262
文摘In this paper we prove the existence and uniqueness of a weak solution for a dynamic electo-viscoetastic problem that describes a contact between a body and a foundation. We assume the body is made from thermoviscoelastic material and consider nonmonotone boundary conditions for the contact. We use recent results from the theory of hemivariational inequalities and the fixed point theory.
基金Supported by National Natural Science Foundation of China(Grant No.11261067)the Scientifc Research Foundation of Yunnan University(Grant No.2011YB29)Supported by IRTSTYN
文摘In this paper, we study error bounds for lower semicontinuous functions defined on Banach space and linear regularity for finitely many closed subset in Banach spaces. By using Clarke＇s subd- ifferentials and Ekeland variational principle, we establish several sufficient conditions ensuring error bounds and linear regularity in Banach spaces.
