International Journal of Circuit Theory and Applications最新文献

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Investigating new solutions for a general form of q$$ mathfrak{q} $$‐deformed equation: An analytical and numerical study 研究 q$$ mathfrak{q} $$ 变形方程一般形式的新解:分析与数值研究
IF 2.3 3区 工程技术
International Journal of Circuit Theory and Applications Pub Date : 2024-08-27 DOI: 10.1002/cta.4199
Khalid K. Ali, Mohamed S. Mohamed, Weam G. Alharbi
{"title":"Investigating new solutions for a general form of q$$ mathfrak{q} $$‐deformed equation: An analytical and numerical study","authors":"Khalid K. Ali, Mohamed S. Mohamed, Weam G. Alharbi","doi":"10.1002/cta.4199","DOIUrl":"https://doi.org/10.1002/cta.4199","url":null,"abstract":"SummaryThis paper contributes to the study of a new model called the ‐deformed equation or the ‐deformed tanh‐Gordon model. To understand physical systems with violated symmetries. We utilize the ‐expansion approach to solve the ‐deformed equation for specific parameter values. This method generates solutions that provide valuable insights into the system's dynamics and behavior. To verify the accuracy of our solutions, we also apply the finite difference technique to obtain numerical solutions to the ‐deformed equation. This dual approach ensures the reliability of our results. We present our findings using tables and graphics to enhance clarity and facilitate comparison between the analytical and numerical solutions. These visual aids help readers better understand the similarities and differences between the two approaches. The ‐deformation is significant as it models physical systems with nonstandard symmetry features, like extensivity, offering a more accurate representation of real‐world phenomena. The growing significance of this equation across various disciplines highlights its potential in advancing our understanding of complex physical systems. This paper contributes valuable knowledge about the ‐deformed equation, demonstrating its potential for accurately modeling physical systems with violated symmetries. Through both analytical and numerical techniques, we offer comprehensive solutions and validate their accuracy, with graphical representations enhancing the clarity and understanding of our results. This exploration of ‐deformation advances modeling techniques, providing a more precise depiction of real‐world processes with nonstandard symmetry features.","PeriodicalId":13874,"journal":{"name":"International Journal of Circuit Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New Full‐Wave Rectifiers Based on the Plus‐Type Second‐Generation Current Conveyors 基于加型第二代电流传输器的新型全波整流器
IF 2.3 3区 工程技术
International Journal of Circuit Theory and Applications Pub Date : 2024-08-27 DOI: 10.1002/cta.4261
Tolga Yucehan, Erkan Yuce, Shahram Minaei, Costas Psychalinos
{"title":"New Full‐Wave Rectifiers Based on the Plus‐Type Second‐Generation Current Conveyors","authors":"Tolga Yucehan, Erkan Yuce, Shahram Minaei, Costas Psychalinos","doi":"10.1002/cta.4261","DOIUrl":"https://doi.org/10.1002/cta.4261","url":null,"abstract":"Two new full‐wave rectifiers (FWRs) based on two plus‐type second‐generation current conveyors are proposed in this paper. Also, the proposed FWR structures comprise two diodes and two grounded resistors without matching conditions. They are not affected from any bias voltage(s) and/or current(s); thus, they eliminate the need for extra circuitry. One of the proposed FWRs provides positive rectification, while the other offers negative rectification. Both proposed FWRs have high input impedance and gain. Simulation results are obtained through the SPICE program, and experimental results are provided.","PeriodicalId":13874,"journal":{"name":"International Journal of Circuit Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Misalignment‐tolerant coupling cell of 2‐D modular WPT system for charging area simplified extension 用于充电区域简化扩展的二维模块化 WPT 系统的容错耦合单元
IF 2.3 3区 工程技术
International Journal of Circuit Theory and Applications Pub Date : 2024-08-26 DOI: 10.1002/cta.4251
Xi Wu, Changsong Cai, Jianwei Shao, Junhua Wang, Leke Wan, Yinfeng Du, Qiye Zhang, Yufeng Jiang
{"title":"Misalignment‐tolerant coupling cell of 2‐D modular WPT system for charging area simplified extension","authors":"Xi Wu, Changsong Cai, Jianwei Shao, Junhua Wang, Leke Wan, Yinfeng Du, Qiye Zhang, Yufeng Jiang","doi":"10.1002/cta.4251","DOIUrl":"https://doi.org/10.1002/cta.4251","url":null,"abstract":"2‐D modular wireless power transfer (WPT) system needs to have stable output when coil misalignment occurs. In order to improve the misalignment tolerance of the system coupling unit, this article proposes a magnetic coupling structure based on the LCC‐S compensation topology by combining a rectangular coil with two sets of mutually orthogonal solenoidal compensation coils. The rectangular coil is used to receive the vertical magnetic flux, and the two sets of compensating coils are used to receive the magnetic flux in the directions of X‐axis and Y‐axis on the horizontal plane, separately. The receiving side of the 2‐D wireless power transmission array cells cascaded half‐bridge rectifiers to connect each group of coils. This arrangement effectively compensates for the voltage drop of the rectangular coil caused by positional offset in any direction, so that the output voltage of the receiving side remains stable. The article firstly establishes the equivalent circuit model of the proposed design and deduces in detail the relationship equations between the output characteristics of the system and each influence factor. Secondly, the magnetic coupling structure is designed by finite element electromagnetic simulation software, and the total equivalent mutual inductance fluctuation of the proposed design is verified to be within 3.9% over the range of 2‐D transmission array cells. Finally, a 150 W experimental platform is built to verify the misaligment‐tolerant of the proposed design in the range of 2‐D transmission array cells. The experimental results show that the output voltage fluctuation of the proposed design within 4.27% at all directional offsets. Moreover, the stable output performance can be obtained in the case of vertical and rotational misalignment.","PeriodicalId":13874,"journal":{"name":"International Journal of Circuit Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Junction temperature monitoring of silicon carbide MOSFET based on turn‐off voltage spike 基于关断电压尖峰的碳化硅 MOSFET 结温监测
IF 2.3 3区 工程技术
International Journal of Circuit Theory and Applications Pub Date : 2024-08-26 DOI: 10.1002/cta.4245
Xinbo Liu, Bo Liu, Shuiyuan He, Lijian Diao, Lijun Diao
{"title":"Junction temperature monitoring of silicon carbide MOSFET based on turn‐off voltage spike","authors":"Xinbo Liu, Bo Liu, Shuiyuan He, Lijian Diao, Lijun Diao","doi":"10.1002/cta.4245","DOIUrl":"https://doi.org/10.1002/cta.4245","url":null,"abstract":"Because of the advantages of high switching speed, silicon carbide (SiC) devices are widely used in high‐power power electronic equipment. Real‐time monitoring of junction temperature is very important for the safe operation of equipment. There have been many studies on traditional junction temperature monitoring methods based on Si IGBT, but the dynamic characteristics of SiC MOSFETs are changed due to their different physical structure and parasitic parameters, which make the traditional methods no longer applicable. In this paper, the junction temperature can be extracted from the switching process of SiC MOSFET by using the turn‐off voltage spike as the index of thermosensitive electrical parameter (TSEP). In addition, the effect of working voltage, current, and different materials on turn‐off voltage spike is also studied. The simulation platform of Ansys/Simplorer and the experimental test platforms are built, and the theory of junction temperature detection based on turn‐off voltage spike is verified. The simulation and experimental results show that turn‐off voltage spike is a feasible TSEP, which can be used to extract junction temperature of SiC MOSFET with good linearity and instantaneity.","PeriodicalId":13874,"journal":{"name":"International Journal of Circuit Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new modulation for three‐phase current source converter 三相电流源转换器的新型调制方式
IF 2.3 3区 工程技术
International Journal of Circuit Theory and Applications Pub Date : 2024-08-26 DOI: 10.1002/cta.4239
Yiyina Teng, Xiaoqiang Guo, Yupeng Wei, Meiling He, Baocheng Wang
{"title":"A new modulation for three‐phase current source converter","authors":"Yiyina Teng, Xiaoqiang Guo, Yupeng Wei, Meiling He, Baocheng Wang","doi":"10.1002/cta.4239","DOIUrl":"https://doi.org/10.1002/cta.4239","url":null,"abstract":"This brief proposes an improved pulse width modulation (PWM) scheme, which uses diode voltage clamping characteristics to achieve the direct control of three‐phase current source converter without any logical transformation. Compared with the traditional indirect carrier modulation scheme—mapping‐PWM, the proposed scheme can solve the disadvantages of low DC current utilization, high switching loss, and complex control process. The generation mechanism of IPWM is analyzed in this brief. Then, based on the generation mechanism, the output characteristics of the system under IPWM are analyzed and compared with the traditional modulation scheme. Finally, the experimental results verify the effectiveness the proposed modulation scheme.","PeriodicalId":13874,"journal":{"name":"International Journal of Circuit Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Soft‐switching boundary and piecewise control of LLC converter with hybrid modulation 具有混合调制功能的 LLC 转换器的软开关边界和分片控制
IF 2.3 3区 工程技术
International Journal of Circuit Theory and Applications Pub Date : 2024-08-26 DOI: 10.1002/cta.4242
Baoquan Liu, Meng Han, Qihao Zhou, Yan Liu
{"title":"Soft‐switching boundary and piecewise control of LLC converter with hybrid modulation","authors":"Baoquan Liu, Meng Han, Qihao Zhou, Yan Liu","doi":"10.1002/cta.4242","DOIUrl":"https://doi.org/10.1002/cta.4242","url":null,"abstract":"The voltage gain range of LLC converter can be effectively broadened by using the hybrid modulation of phase‐shift modulation (PSM) and pulse frequency modulation (PFM). However, the harmonic of resonant tank increases dramatically in PSM mode, and the first harmonic approximation is no longer suitable for solving the voltage gain. Moreover, the conditions for soft switching in PSM mode are not clear. Meanwhile, the small‐signal models of the converter in different modulation modes are quite different, and it is difficult for a fixed controller to ensure a good dynamic performance of the converter in both modulation modes. To address above issues, a voltage gain modeling method of PSM mode LLC converter is proposed. By establishing the function between input current and resonant current, the voltage gain model of the converter is obtained according to the power conservation. Moreover, considering the parasitic capacitance charge and resonant current commutation time, the condition for soft switching is derived. Furthermore, a control strategy of LLC converter in hybrid modulation is proposed. The piecewise proportional integral (PI) controller is adopted, and the parameters of the controller are dynamically adjusted with the modulation mode, so that the converter has excellent dynamic performance in both modes. And the hysteresis control is used to ensure the stability of mode switching. An experimental prototype with 200–340 V input and 28 V/1 kW output was built based on gallium nitride (GaN) devices. The peak efficiency was 97.82%, and the power density was 65.76 w/in3.","PeriodicalId":13874,"journal":{"name":"International Journal of Circuit Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Jump resonance in the driven Chua's circuit to design frequency selective devices 利用蔡氏驱动电路中的跳跃共振设计频率选择性器件
IF 2.3 3区 工程技术
International Journal of Circuit Theory and Applications Pub Date : 2024-08-22 DOI: 10.1002/cta.4237
Arturo Buscarino, Carlo Famoso, Luigi Fortuna
{"title":"Jump resonance in the driven Chua's circuit to design frequency selective devices","authors":"Arturo Buscarino, Carlo Famoso, Luigi Fortuna","doi":"10.1002/cta.4237","DOIUrl":"https://doi.org/10.1002/cta.4237","url":null,"abstract":"The onset of jump resonance in the driven Chua's circuit is deeply described in this paper, further confirming the role of Chua's circuit in nonlinear circuits and systems theory. The study of the conditions under which this peculiar behavior occurs is based on the possibility of obtaining a Lur'e representation of the driven Chua's circuit and applying the describing function approach. Design considerations to select the Chua's circuit parameters in order to shape the jump resonance features are given, providing the nonlinear core for highly selective frequency drift sensors.","PeriodicalId":13874,"journal":{"name":"International Journal of Circuit Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modified third‐order sliding mode control with adaptive gains for a multiphase PMSG wind turbine under double‐phase open fault 双相开路故障下多相 PMSG 风力涡轮机的修正三阶滑模控制与自适应增益
IF 2.3 3区 工程技术
International Journal of Circuit Theory and Applications Pub Date : 2024-08-22 DOI: 10.1002/cta.4253
Elhadj Bounadja, Abdelkadir Belhadj Djilali, Adil Yahdou
{"title":"Modified third‐order sliding mode control with adaptive gains for a multiphase PMSG wind turbine under double‐phase open fault","authors":"Elhadj Bounadja, Abdelkadir Belhadj Djilali, Adil Yahdou","doi":"10.1002/cta.4253","DOIUrl":"https://doi.org/10.1002/cta.4253","url":null,"abstract":"Wind energy production systems (WEPS) are increasingly vital in the transition to renewable energy sources, with permanent magnetic synchronous generators (PMSG) being widely adopted due to their high efficiency and reliability. Developing robust control methods is essential to ensure that WEPS operate efficiently even under adverse conditions. This study focuses on optimizing control strategies for WEPS utilizing a 5‐phase PMSG and addresses challenges posed by double‐phase open fault (DPOF) scenarios. Unlike conventional second‐order sliding mode control (SOSMC) based on the super‐twisting algorithm (STA), the proposed method enhances performance by elevating the sliding surface time derivative degree to a third order and modifying the discontinuous term of STA with an arctangent function, promising to reduce chattering effects. Additionally, an adaptation law adjusts the improved STA gains, forming adaptive‐gain third‐order sliding mode control (AG‐TOSMC), which outperforms SOSMC under various disturbances such as wind speed fluctuations, parameter changes, and DPOF scenarios. The AG‐TOSMC enhances the quality of active and reactive power by reducing fluctuation ratios compared with the SOSMC. The efficiency of WEPS increases to 98.5% with AG‐TOSMC, surpassing the 93.5% achieved with SOSMC. Additionally, a DPOF test confirms the aptitude of the 5‐phase PMSG to work under degraded circumstances, supplying appropriate electrical power to the network without significant adverse effects. Numerical simulations validate the efficiency of the suggested WEPS and its control, demonstrating superior performance achieved with AG‐TOSMC.","PeriodicalId":13874,"journal":{"name":"International Journal of Circuit Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142223858","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Wing technique as a comprehensive method for stator and rotor inter‐turn fault diagnosis in wound rotor induction motors 作为绕线转子感应电机定子和转子匝间故障诊断综合方法的翼技术
IF 2.3 3区 工程技术
International Journal of Circuit Theory and Applications Pub Date : 2024-08-22 DOI: 10.1002/cta.4231
Ujwala V. Dongare, Bhimrao S. Umre, Makarand S. Ballal, Vikas P. Dongare
{"title":"Wing technique as a comprehensive method for stator and rotor inter‐turn fault diagnosis in wound rotor induction motors","authors":"Ujwala V. Dongare, Bhimrao S. Umre, Makarand S. Ballal, Vikas P. Dongare","doi":"10.1002/cta.4231","DOIUrl":"https://doi.org/10.1002/cta.4231","url":null,"abstract":"Condition monitoring plays a pivotal role in safeguarding three‐phase induction motors (IMs) commonly utilized in industrial and commercial settings. This study focuses on wound rotor induction motors (WRIMs), specifically addressing the adverse impact of the stator and rotor winding inter‐turn short circuits. Unlike prevalent literature concentrating on squirrel cage induction motors (SCIMs) and emphasizing stator inter‐turn and broken rotor bar faults, this paper introduces a comprehensive technique applicable to detecting inter‐turn faults (ITFs) in WRIMs. The proposed method ensures stable motor operation and averts catastrophic failures.Experimental validation is conducted on a three‐phase, 7.5 hp, 415 V WRIM, affirming the technique's effectiveness under conditions of unbalanced source voltages and asymmetries in stator and rotor windings. The approach employs motor currents‐based experimental emulation, utilizing loci of instantaneous symmetrical components of three‐phase stator currents, £ (<jats:italic>i</jats:italic><jats:sub><jats:italic>s</jats:italic>1</jats:sub> <jats:italic>– i</jats:italic><jats:sub><jats:italic>s</jats:italic>2</jats:sub>) and rotor currents £ (<jats:italic>i</jats:italic><jats:sub><jats:italic>r</jats:italic>1</jats:sub> <jats:italic>– i</jats:italic><jats:sub><jats:italic>r</jats:italic>2</jats:sub>) for stator and rotor ITFs detection, respectively. Termed the ‘Wing Technique’ (WT), this method derives its name from the distinctive ‘Wing Shape’ formed by these loci.","PeriodicalId":13874,"journal":{"name":"International Journal of Circuit Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A wide voltage range non‐isolated continuous input buck‐boost converter for optimal green energy harvesting in LED lighting systems 宽电压范围非隔离式连续输入降压-升压转换器,用于优化 LED 照明系统中的绿色能源采集
IF 2.3 3区 工程技术
International Journal of Circuit Theory and Applications Pub Date : 2024-08-22 DOI: 10.1002/cta.4238
Ashok Kumar Kanithi, Narasimharaju B L
{"title":"A wide voltage range non‐isolated continuous input buck‐boost converter for optimal green energy harvesting in LED lighting systems","authors":"Ashok Kumar Kanithi, Narasimharaju B L","doi":"10.1002/cta.4238","DOIUrl":"https://doi.org/10.1002/cta.4238","url":null,"abstract":"This article introduces a wide input range buck‐boost Light Emitting Diode (LED) driver designed for industrial and street lighting applications. The driver characterized by a continuous input current with less ripple and common ground between input and output featuring non‐inverting voltage at the output, suitable for green energy sources. The proposed topology achieves a high voltage conversion ratio which is a blend of quasi‐Z source boosting followed by conventional buck with enhanced step‐down voltage capability. Furthermore, the driver maintains a constant voltage at the load terminal for diverse source voltage variations by adapting the inherent buck‐boost nature. Also, the driver operates with low duty ratio results in lower voltage, current stresses and conduction losses. The steady state and design analysis of the proposed LED driver is carried out for an input voltage range from 24 to 96 V. An experimental prototype of 200 W/71 V LED driver is validated in the laboratory for wide input voltage. There is a high concordance exists between the theoretical analysis and experimental results of the proposed topology.","PeriodicalId":13874,"journal":{"name":"International Journal of Circuit Theory and Applications","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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