Dependence among random input variables affects importantly the results of probabilistic load flow(PLF),system economic operation,and system security.To solve this problem,the main objectiveness of the paper is to ana...Dependence among random input variables affects importantly the results of probabilistic load flow(PLF),system economic operation,and system security.To solve this problem,the main objectiveness of the paper is to analyze the performance of several schemes for simulating correlated variables combined with the point estimate method(PEM).Unlike the existing works that considering one single scheme combined with Monte Carlo simulation(MCS) or PEM,by neglecting the correlation among random input variables,four schemes were presented for disposing the dependence of correlated random variables,including Nataf transformation /polynomial normal transformation(PINT) combined with orthogonal transformation(OT) / elementary transformation(ET).Combining with the 2m+1 approach of PEM,a space transformation-based formulation was proposed and adopted for solving the PLF.The proposed approach is applied in the modified IEEE 30-bus system while considering correlated wind generations and load demands.Numerical results show the effectiveness of the proposed approach compared with those obtained from the MCS.Results also show that the scheme of combining Nataf transformation and ET with PEM provides the best performance.展开更多
文章以多项式高程拟合模型为研究对象,采用赤池信息量准则(Akaike information criterion,AIC)优选多项式模型。模拟产生一组高程异常数据,将其分为估计组和检核组,对于任一备选阶数,采用最小二乘法求解模型参数,并计算相应的AIC,备选...文章以多项式高程拟合模型为研究对象,采用赤池信息量准则(Akaike information criterion,AIC)优选多项式模型。模拟产生一组高程异常数据,将其分为估计组和检核组,对于任一备选阶数,采用最小二乘法求解模型参数,并计算相应的AIC,备选模型中AIC最小者即为所选的高程转换模型。对检核组数据进行交叉检验试验,结果显示AIC最小所对应模型预测的高程异常与检核组的数据符合最好,表明了文中所采用方法的有效性。展开更多
基金National Science Foundation of China(No.61533010)the Science and Technology Commission of Shanghai Municipality,China(No.14ZR1415300)
文摘Dependence among random input variables affects importantly the results of probabilistic load flow(PLF),system economic operation,and system security.To solve this problem,the main objectiveness of the paper is to analyze the performance of several schemes for simulating correlated variables combined with the point estimate method(PEM).Unlike the existing works that considering one single scheme combined with Monte Carlo simulation(MCS) or PEM,by neglecting the correlation among random input variables,four schemes were presented for disposing the dependence of correlated random variables,including Nataf transformation /polynomial normal transformation(PINT) combined with orthogonal transformation(OT) / elementary transformation(ET).Combining with the 2m+1 approach of PEM,a space transformation-based formulation was proposed and adopted for solving the PLF.The proposed approach is applied in the modified IEEE 30-bus system while considering correlated wind generations and load demands.Numerical results show the effectiveness of the proposed approach compared with those obtained from the MCS.Results also show that the scheme of combining Nataf transformation and ET with PEM provides the best performance.
文摘文章以多项式高程拟合模型为研究对象,采用赤池信息量准则(Akaike information criterion,AIC)优选多项式模型。模拟产生一组高程异常数据,将其分为估计组和检核组,对于任一备选阶数,采用最小二乘法求解模型参数,并计算相应的AIC,备选模型中AIC最小者即为所选的高程转换模型。对检核组数据进行交叉检验试验,结果显示AIC最小所对应模型预测的高程异常与检核组的数据符合最好,表明了文中所采用方法的有效性。
