In this paper, based on the second-order Taylor series expansion and the difference of convex functions algo- rithm for quadratic problems with box constraints （the DCA for QB）, a new method is proposed to solve the...In this paper, based on the second-order Taylor series expansion and the difference of convex functions algo- rithm for quadratic problems with box constraints （the DCA for QB）, a new method is proposed to solve the static response problem of structures with fairly large uncertainties in interval parameters. Although current methods are effective for solving the static response problem of structures with interval parameters with small uncertainties, these methods may fail to estimate the region of the static response of uncertain structures if the uncertainties in the parameters are fairly large. To resolve this problem, first, the general expression of the static response of structures in terms of structural parameters is derived based on the second-order Taylor series expansion. Then the problem of determining the bounds of the static response of uncertain structures is transformed into a series of quadratic problems with box constraints. These quadratic problems with box constraints can be solved using the DCA approach effectively. The numerical examples are given to illustrate the accuracy and the efficiency of the proposed method when comparing with other existing methods.展开更多
随着大量新能源场站接入交直流混联电网,系统的静态电压稳定裕度(static voltage stability margin,SVSM)水平具有很大的不确定性,需要研究考虑新能源场站高阶不确定性的交直流混联电网SVSM计算方法。针对此问题,首先建立了交直流混联电...随着大量新能源场站接入交直流混联电网,系统的静态电压稳定裕度(static voltage stability margin,SVSM)水平具有很大的不确定性,需要研究考虑新能源场站高阶不确定性的交直流混联电网SVSM计算方法。针对此问题,首先建立了交直流混联电网SVSM计算模型,模型中考虑了直流换流站控制方式随负荷增长的切换;采用概率盒模型描述风速与光照强度的随机波动,提出了改进区间半不变量法以获得更准确的SVSM概率盒,该方法通过K-means++聚类算法将随机变量样本划分为多个波动范围较小的样本集,以降低半不变量的线性化计算带来的误差;并结合Gram-Charlier级数展开和概率加权和计算得到考虑新能源场站高阶不确定性的系统SVSM概率盒。通过对修改的IEEE-39节点交直流系统和南方电网两个算例的分析,并与区间半不变量法和双层蒙特卡洛法比较,验证了所提出方法获得的SVSM概率盒具有较高的计算精度和效率。展开更多
This work represents a contribution to the modeling of a radiofrequency（RF） discharge in argon at low pressure（from 25 to 200 mTorr）.It is started by the validation of the collision cross sections used in the part...This work represents a contribution to the modeling of a radiofrequency（RF） discharge in argon at low pressure（from 25 to 200 mTorr）.It is started by the validation of the collision cross sections used in the particle model through a comparison between the transport coefficients calculated by these data and the measurements of the transport coefficients already exist in the literature,the particle model is also validated by a comparison between the calculated plasma density and that measured in the literature.The electrical model proposed in this work consists of replacing the RF discharge by a passive circuit（resistance in series with a capacitor）,where the resistance represents the plasma medium and the obstruction of the passage of the electronic current,and the capacitor represents the sheaths and the appearance of the displacement current in these regions.The parameters of the electrical model are obtained through particle modeling.The electrical model presented accurately reproduces the current of the discharge,but without considering the phenomenon of distortion.The total harmonic distortion rate follows the variation of the plasma density;its maximum value is 5.75% at 100 mTorr.展开更多
该文提出一种参数化预报方法,制作北京及其周边地区夏季空气质量气象条件指数预报。采用2000—2007年7—9月北京市观象台大气成分(PM10)逐日观测资料和华北区域气象站网加密地面观测及探空信息,分析北京地区夏季奥运会历史同期与高污染...该文提出一种参数化预报方法,制作北京及其周边地区夏季空气质量气象条件指数预报。采用2000—2007年7—9月北京市观象台大气成分(PM10)逐日观测资料和华北区域气象站网加密地面观测及探空信息,分析北京地区夏季奥运会历史同期与高污染过程(PM10浓度>150μg/m3)关系密切的敏感气象要素和变量。引入适应度函数分级方法,计算北京周边不同观测站可能形成污染向北京输送的权重,建立北京夏季空气质量气象条件参数PLAM(parameters linking air-quality and meteorology)预报模型。PLAM指数给出北京局地污染气象条件的客观定量诊断和预测,并可指示周边地区有利(或不利)于污染向北京输送的强度和方位。夏季"静稳型"气象条件参数化PLAM方法为北京奥运气象保障任务实时提供预报产品,分别用PM10及可吸入颗粒物指数(API)对2008年7—8月PLAM逐日预报进行检验,相关系数达到0.001显著性水平。展开更多
针对现有850 k W风力机叶片,分析其材料、结构及铺层状态,对比传统叶片有限元模型,将描述叶片主要结构的弦长、扭角采用分段函数形式表达,采用MATLAB编程并结合ANSYS二次开发建立风力机叶片参数化几何模型.基于动量-叶素理论的BLADED软...针对现有850 k W风力机叶片,分析其材料、结构及铺层状态,对比传统叶片有限元模型,将描述叶片主要结构的弦长、扭角采用分段函数形式表达,采用MATLAB编程并结合ANSYS二次开发建立风力机叶片参数化几何模型.基于动量-叶素理论的BLADED软件计算叶片各截面处的极限载荷,并于叶片分段施加载荷增量.动力学分析得到叶片前三阶挥舞和摆振频率及一阶扭转频率,其与实测固有频率比较,分析并验证叶片于共振区外运行.静力分析得到叶片挥舞位移及关键部位应力分布,通过最大应力准则和蔡-胡(Tsai-Wu)准则对翼面进行强度校核(其他部位同理校核),表明叶片在极限状态下仍能保持安全运行.该研究描绘了叶片主要力学性能,为叶片进一步优化奠定了基础.展开更多
基金supported by the National Natural Science Foundation of China (Grants 11002013, 11372025)the Defense Industrial Technology Development Program (Grants A0820132001, JCKY2013601B)+1 种基金the Aeronautical Science Foundation of China (Grant 2012ZA51010)111 Project (Grant B07009) for support
文摘In this paper, based on the second-order Taylor series expansion and the difference of convex functions algo- rithm for quadratic problems with box constraints （the DCA for QB）, a new method is proposed to solve the static response problem of structures with fairly large uncertainties in interval parameters. Although current methods are effective for solving the static response problem of structures with interval parameters with small uncertainties, these methods may fail to estimate the region of the static response of uncertain structures if the uncertainties in the parameters are fairly large. To resolve this problem, first, the general expression of the static response of structures in terms of structural parameters is derived based on the second-order Taylor series expansion. Then the problem of determining the bounds of the static response of uncertain structures is transformed into a series of quadratic problems with box constraints. These quadratic problems with box constraints can be solved using the DCA approach effectively. The numerical examples are given to illustrate the accuracy and the efficiency of the proposed method when comparing with other existing methods.
文摘随着大量新能源场站接入交直流混联电网,系统的静态电压稳定裕度(static voltage stability margin,SVSM)水平具有很大的不确定性,需要研究考虑新能源场站高阶不确定性的交直流混联电网SVSM计算方法。针对此问题,首先建立了交直流混联电网SVSM计算模型,模型中考虑了直流换流站控制方式随负荷增长的切换;采用概率盒模型描述风速与光照强度的随机波动,提出了改进区间半不变量法以获得更准确的SVSM概率盒,该方法通过K-means++聚类算法将随机变量样本划分为多个波动范围较小的样本集,以降低半不变量的线性化计算带来的误差;并结合Gram-Charlier级数展开和概率加权和计算得到考虑新能源场站高阶不确定性的系统SVSM概率盒。通过对修改的IEEE-39节点交直流系统和南方电网两个算例的分析,并与区间半不变量法和双层蒙特卡洛法比较,验证了所提出方法获得的SVSM概率盒具有较高的计算精度和效率。
文摘This work represents a contribution to the modeling of a radiofrequency（RF） discharge in argon at low pressure（from 25 to 200 mTorr）.It is started by the validation of the collision cross sections used in the particle model through a comparison between the transport coefficients calculated by these data and the measurements of the transport coefficients already exist in the literature,the particle model is also validated by a comparison between the calculated plasma density and that measured in the literature.The electrical model proposed in this work consists of replacing the RF discharge by a passive circuit（resistance in series with a capacitor）,where the resistance represents the plasma medium and the obstruction of the passage of the electronic current,and the capacitor represents the sheaths and the appearance of the displacement current in these regions.The parameters of the electrical model are obtained through particle modeling.The electrical model presented accurately reproduces the current of the discharge,but without considering the phenomenon of distortion.The total harmonic distortion rate follows the variation of the plasma density;its maximum value is 5.75% at 100 mTorr.
文摘该文提出一种参数化预报方法,制作北京及其周边地区夏季空气质量气象条件指数预报。采用2000—2007年7—9月北京市观象台大气成分(PM10)逐日观测资料和华北区域气象站网加密地面观测及探空信息,分析北京地区夏季奥运会历史同期与高污染过程(PM10浓度>150μg/m3)关系密切的敏感气象要素和变量。引入适应度函数分级方法,计算北京周边不同观测站可能形成污染向北京输送的权重,建立北京夏季空气质量气象条件参数PLAM(parameters linking air-quality and meteorology)预报模型。PLAM指数给出北京局地污染气象条件的客观定量诊断和预测,并可指示周边地区有利(或不利)于污染向北京输送的强度和方位。夏季"静稳型"气象条件参数化PLAM方法为北京奥运气象保障任务实时提供预报产品,分别用PM10及可吸入颗粒物指数(API)对2008年7—8月PLAM逐日预报进行检验,相关系数达到0.001显著性水平。
文摘针对现有850 k W风力机叶片,分析其材料、结构及铺层状态,对比传统叶片有限元模型,将描述叶片主要结构的弦长、扭角采用分段函数形式表达,采用MATLAB编程并结合ANSYS二次开发建立风力机叶片参数化几何模型.基于动量-叶素理论的BLADED软件计算叶片各截面处的极限载荷,并于叶片分段施加载荷增量.动力学分析得到叶片前三阶挥舞和摆振频率及一阶扭转频率,其与实测固有频率比较,分析并验证叶片于共振区外运行.静力分析得到叶片挥舞位移及关键部位应力分布,通过最大应力准则和蔡-胡(Tsai-Wu)准则对翼面进行强度校核(其他部位同理校核),表明叶片在极限状态下仍能保持安全运行.该研究描绘了叶片主要力学性能,为叶片进一步优化奠定了基础.
文摘分布式电源(distributed generation,DG)出力的间歇性、随机性和波动性,增加了配电网负荷供应能力(loadsupply capacity,LSC)评估的复杂性。针对传统不确定性方法难以全面地体现LSC的客观不确定性和认知不确定性,提出一种基于仿射数学的变步长重复潮流法(theaffinealgorithm based step-varied repeated power flow method,AA-SVRPF)。利用概率函数的分布参数区间建立风速和光照强度的参数化P-box模型。通过AA直接求得LSC的焦元,结合证据理论生成负荷增长百分比的证据结构体形式。针对计算过程中存在多层循环嵌套、计算效率低的问题,提出基于矩阵运算的快速求解策略,提高了AA-SVRPF的计算效率。为体现不同供电水平时的LSC的不确定性,采用静态负荷供应风险概率作为LSC的度量指标。通过算例的对比分析,结果验证了该方法的可行性和有效性。
