The thermal widths for heavy quarkonia are calculated for both Coulomb gauge （CG） and Feynman gauge （FG）, and the comparisons between these results with the hard thermal loop （HTL） approximation ones are illustr...The thermal widths for heavy quarkonia are calculated for both Coulomb gauge （CG） and Feynman gauge （FG）, and the comparisons between these results with the hard thermal loop （HTL） approximation ones are illustrated. The dissociation temperatures of heavy quarkonia in thermal medium are also discussed for CG, FG and HTL cases. It is shown that the thermal widths, derived from the HTL approximation and used in many research studies, cause some errors in the practical calculations at the temperature range accessible in the present experiment, and the problem of gauge dependence cannot be avoided when the complete self energy is used in the derivation of potential.展开更多
Mathematical teaching and learning of an introductory calculus conception of limit in secondary school before students learn the formal definition of limit in higher education are discussed.In this study,applications ...Mathematical teaching and learning of an introductory calculus conception of limit in secondary school before students learn the formal definition of limit in higher education are discussed.In this study,applications of the theory of instruction based on“Formalizing Introductory Notions(FIN)”(Nagle,2013),in which a theory incorporating new pedagogical approaches was introduced to describe static notions of limit,without ignoring dynamic notions of limit,are presented to help foster an informal limit conception better aligned with the formal definition.A qualitative discourse analysis based on students’utterances,including students’drawing pictures on graphs,was done.In the results of the investigation,it was found that the students’utterances drawings on a graph of the secants(segments)used static notions of limit supported by dynamic notions of limit according to the operating activities.There were learning activities in which students developed a notion of limit as the proximity of the predicted tangent line of a function.Consequently,students’discussions changed focus to the validation of limit candidates with static notions of limit.To overcome the contradiction of their explanations of the operating activities with dynamic notions of limit,the students changed to an explanation with static notions of limit.In light of the findings,this study suggests adapting the pedagogical approach used by the Nagle(2013).展开更多
The California bearing ratio (CBR) test is the most widely spread method of determining the bearing strength of the pavement material and is fundamental to pavement design practice in most countries. This test is expe...The California bearing ratio (CBR) test is the most widely spread method of determining the bearing strength of the pavement material and is fundamental to pavement design practice in most countries. This test is expensive, laborious and time consuming, and to overcome this, Quasi static cone penetrometer machine was fabricated and used to measure the consistency limits (liquid limit-LL, Plastic limit-PL and Plasticity index-PI), which were used to develop an empirical equation to determine CBR. Soil samples were collected and unsoaked CBR, PL, LL and PI were determined according to BS 1377 part 9 and BS 1377-2;1990. Quasi static penetration forces at 20 mm depth of penetration were also determined at consistency limits. It was found that the force of 1020 gf and 60 gf was achieved at a depth of 20 mm at PI and LL respectively. The correlation and regression analysis between consistency limits, and the experimental CBR obtained showed coefficient of determination, R<sup>2</sup> = 0.907 between CBR and all the parameters using multiple linear regression analysis (MLRA). The regression equation developed was used together with the relationship developed between the Quasi static Penetration force at consistency limits and the tested consistency limits to come up with the General Empirical Equation. Verification of the formula showed that the correlation can be used accurately to determine the un soaked CBR.展开更多
随着高比例可再生能源在电力系统中的广泛应用,可再生能源的波动性和随机性对电力系统静态电压稳定评估带来挑战,电力系统静态电压稳定域(static voltage stability region,SVSR)可以全面分析和监测电力系统电压稳定性,其关键是快速准...随着高比例可再生能源在电力系统中的广泛应用,可再生能源的波动性和随机性对电力系统静态电压稳定评估带来挑战,电力系统静态电压稳定域(static voltage stability region,SVSR)可以全面分析和监测电力系统电压稳定性,其关键是快速准确地构建稳定域边界。针对传统连续潮流法和非线性规划法计算量大的问题,提出一种基于SVSR边界拓扑性质的SVSR边界构建优化模型,根据边界连续且光滑的性质,由已知边界点通过预测-校正方法直接计算相邻边界点。在此模型基础上提出一种极限诱导分岔识别方法,构建考虑极限诱导分岔的SVSR边界。最后通过算例分析验证了所提方法的可行性和准确性。展开更多
在弱交流系统下对于附带有STATCOM的电网换相换流器高压直流输电(Line Commutated Converter based High Voltage Direct Current, LCC-HVDC)系统,存在着LCC逆变站与STATCOM之间耦合导致LCC-HVDC系统的稳定裕度下降问题,这会减弱LCC-HVD...在弱交流系统下对于附带有STATCOM的电网换相换流器高压直流输电(Line Commutated Converter based High Voltage Direct Current, LCC-HVDC)系统,存在着LCC逆变站与STATCOM之间耦合导致LCC-HVDC系统的稳定裕度下降问题,这会减弱LCC-HVDC抑制换相失败的能力。此外,HVDC控制环节之中的电压指令电流控制(voltage dependent current order limiter, VDCOL)环节的输出电流指令大幅剧烈波动还有几率会导致HVDC系统在首次换相失败之后发生后续换相失败。针对上述问题提出了一种“改进参考电压”的思想,对STATCOM和VDCOL的参考电压与输入电压分别进行修正。首先在STATCOM原本的参考电压经过一个“虚拟电抗”之后得到一个新的参考电压,通过这个改进参考电压弱化了STATCOM电压外环控制模块与LCC逆变站的耦合,减小了交流系统等效阻抗的大小,提升了系统对干扰的抵抗能力。然后对VDCOL的输入电压进行改进,新的改进输入电压改善了故障后VDCOL输出电流指令的大幅剧烈波动情况。最后通过三个层次的对照试验,验证了所提方法的有效性。展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 11065010 and 11465021
文摘The thermal widths for heavy quarkonia are calculated for both Coulomb gauge （CG） and Feynman gauge （FG）, and the comparisons between these results with the hard thermal loop （HTL） approximation ones are illustrated. The dissociation temperatures of heavy quarkonia in thermal medium are also discussed for CG, FG and HTL cases. It is shown that the thermal widths, derived from the HTL approximation and used in many research studies, cause some errors in the practical calculations at the temperature range accessible in the present experiment, and the problem of gauge dependence cannot be avoided when the complete self energy is used in the derivation of potential.
文摘Mathematical teaching and learning of an introductory calculus conception of limit in secondary school before students learn the formal definition of limit in higher education are discussed.In this study,applications of the theory of instruction based on“Formalizing Introductory Notions(FIN)”(Nagle,2013),in which a theory incorporating new pedagogical approaches was introduced to describe static notions of limit,without ignoring dynamic notions of limit,are presented to help foster an informal limit conception better aligned with the formal definition.A qualitative discourse analysis based on students’utterances,including students’drawing pictures on graphs,was done.In the results of the investigation,it was found that the students’utterances drawings on a graph of the secants(segments)used static notions of limit supported by dynamic notions of limit according to the operating activities.There were learning activities in which students developed a notion of limit as the proximity of the predicted tangent line of a function.Consequently,students’discussions changed focus to the validation of limit candidates with static notions of limit.To overcome the contradiction of their explanations of the operating activities with dynamic notions of limit,the students changed to an explanation with static notions of limit.In light of the findings,this study suggests adapting the pedagogical approach used by the Nagle(2013).
文摘The California bearing ratio (CBR) test is the most widely spread method of determining the bearing strength of the pavement material and is fundamental to pavement design practice in most countries. This test is expensive, laborious and time consuming, and to overcome this, Quasi static cone penetrometer machine was fabricated and used to measure the consistency limits (liquid limit-LL, Plastic limit-PL and Plasticity index-PI), which were used to develop an empirical equation to determine CBR. Soil samples were collected and unsoaked CBR, PL, LL and PI were determined according to BS 1377 part 9 and BS 1377-2;1990. Quasi static penetration forces at 20 mm depth of penetration were also determined at consistency limits. It was found that the force of 1020 gf and 60 gf was achieved at a depth of 20 mm at PI and LL respectively. The correlation and regression analysis between consistency limits, and the experimental CBR obtained showed coefficient of determination, R<sup>2</sup> = 0.907 between CBR and all the parameters using multiple linear regression analysis (MLRA). The regression equation developed was used together with the relationship developed between the Quasi static Penetration force at consistency limits and the tested consistency limits to come up with the General Empirical Equation. Verification of the formula showed that the correlation can be used accurately to determine the un soaked CBR.
文摘随着高比例可再生能源在电力系统中的广泛应用,可再生能源的波动性和随机性对电力系统静态电压稳定评估带来挑战,电力系统静态电压稳定域(static voltage stability region,SVSR)可以全面分析和监测电力系统电压稳定性,其关键是快速准确地构建稳定域边界。针对传统连续潮流法和非线性规划法计算量大的问题,提出一种基于SVSR边界拓扑性质的SVSR边界构建优化模型,根据边界连续且光滑的性质,由已知边界点通过预测-校正方法直接计算相邻边界点。在此模型基础上提出一种极限诱导分岔识别方法,构建考虑极限诱导分岔的SVSR边界。最后通过算例分析验证了所提方法的可行性和准确性。
文摘在弱交流系统下对于附带有STATCOM的电网换相换流器高压直流输电(Line Commutated Converter based High Voltage Direct Current, LCC-HVDC)系统,存在着LCC逆变站与STATCOM之间耦合导致LCC-HVDC系统的稳定裕度下降问题,这会减弱LCC-HVDC抑制换相失败的能力。此外,HVDC控制环节之中的电压指令电流控制(voltage dependent current order limiter, VDCOL)环节的输出电流指令大幅剧烈波动还有几率会导致HVDC系统在首次换相失败之后发生后续换相失败。针对上述问题提出了一种“改进参考电压”的思想,对STATCOM和VDCOL的参考电压与输入电压分别进行修正。首先在STATCOM原本的参考电压经过一个“虚拟电抗”之后得到一个新的参考电压,通过这个改进参考电压弱化了STATCOM电压外环控制模块与LCC逆变站的耦合,减小了交流系统等效阻抗的大小,提升了系统对干扰的抵抗能力。然后对VDCOL的输入电压进行改进,新的改进输入电压改善了故障后VDCOL输出电流指令的大幅剧烈波动情况。最后通过三个层次的对照试验,验证了所提方法的有效性。
