In this note,we study the Yang-Mills bar connection,i.e.,the curvature of obeys,δ_(A)^(*)F_(A)^(0.2)on a principal G-bundle P over a compact complex manifold.According to the Koszul-Malgrange criterion,any holomorphi...In this note,we study the Yang-Mills bar connection,i.e.,the curvature of obeys,δ_(A)^(*)F_(A)^(0.2)on a principal G-bundle P over a compact complex manifold.According to the Koszul-Malgrange criterion,any holomorphic structure on can be seen as a solution to this equation.Suppose that G=SU(2)or SO(3)and X is a complex surface with H_(1)(X,Z_(2))=0.We then prove that the-part curvature of an irreducible Yang-Mills bar connection vanishes,i.e.,(P,δ_(A))is holomorphic.展开更多
多能流计算是综合能源系统(integrated energy system,IES)分析和优化的基础。在各能源网络运营主体交互信息有限的背景下,为提升多能流计算的收敛性和计算效率,提出一种基于幂级数系数分向传递的递归型电-气-热多能流算法。首先,分别...多能流计算是综合能源系统(integrated energy system,IES)分析和优化的基础。在各能源网络运营主体交互信息有限的背景下,为提升多能流计算的收敛性和计算效率,提出一种基于幂级数系数分向传递的递归型电-气-热多能流算法。首先,分别建立电、气、热能源系统的全纯嵌入能流模型;其次,分析全纯嵌入法在多能流计算中的递归求解原理,将幂级数系数的传递划分为横向传递与纵向传递两类,建立可分向传递求解的电-气-热IES全纯嵌入多能流模型;接着,推导各全纯嵌入状态量的幂级数系数递归关系,通过幂级数系数的分向传递,递归求取状态量的幂级数系数,实现电-气-热多能流求解;最后,算例结果表明,所提方法能够以少量的交互信息实现多能流计算,具有更优的收敛性能和计算效率。展开更多
基金supported by the National Natural Science Foundation of China(12271496)the Youth Innovation Promotion Association CAS,the Fundamental Research Funds of the Central Universities,and the USTC Research Funds of the Double First-Class Initiative.
文摘In this note,we study the Yang-Mills bar connection,i.e.,the curvature of obeys,δ_(A)^(*)F_(A)^(0.2)on a principal G-bundle P over a compact complex manifold.According to the Koszul-Malgrange criterion,any holomorphic structure on can be seen as a solution to this equation.Suppose that G=SU(2)or SO(3)and X is a complex surface with H_(1)(X,Z_(2))=0.We then prove that the-part curvature of an irreducible Yang-Mills bar connection vanishes,i.e.,(P,δ_(A))is holomorphic.
文摘多能流计算是综合能源系统(integrated energy system,IES)分析和优化的基础。在各能源网络运营主体交互信息有限的背景下,为提升多能流计算的收敛性和计算效率,提出一种基于幂级数系数分向传递的递归型电-气-热多能流算法。首先,分别建立电、气、热能源系统的全纯嵌入能流模型;其次,分析全纯嵌入法在多能流计算中的递归求解原理,将幂级数系数的传递划分为横向传递与纵向传递两类,建立可分向传递求解的电-气-热IES全纯嵌入多能流模型;接着,推导各全纯嵌入状态量的幂级数系数递归关系,通过幂级数系数的分向传递,递归求取状态量的幂级数系数,实现电-气-热多能流求解;最后,算例结果表明,所提方法能够以少量的交互信息实现多能流计算,具有更优的收敛性能和计算效率。
