The Hilbert boundary value problem Re{λ（t） p√ψ＋（t）} = c（t）, t∈L of normal type with Holder continuous coefficients is discussed, where L is the unit circle ｜t｜ = 1,p ≥2 is any definite integer,ψ^＋（t）...The Hilbert boundary value problem Re{λ（t） p√ψ＋（t）} = c（t）, t∈L of normal type with Holder continuous coefficients is discussed, where L is the unit circle ｜t｜ = 1,p ≥2 is any definite integer,ψ^＋（t） is the boundary value of the unknown function ψ（z） holomorphic in ｜z｜ 〈 1 with single-valued continuous p√ψ＋（t） on L.展开更多
提出了柔性配电网(flexible distribution network,FDN)的安全域模型,并与传统配电网(traditional distribution network,TDN)对比分析。首先,介绍了FDN的概念与特点。其次,分析了FDN正常运行N-0和N-1下的安全约束。再次,提出了FDN的安...提出了柔性配电网(flexible distribution network,FDN)的安全域模型,并与传统配电网(traditional distribution network,TDN)对比分析。首先,介绍了FDN的概念与特点。其次,分析了FDN正常运行N-0和N-1下的安全约束。再次,提出了FDN的安全域模型以及安全边界方程。最后,通过单联络与多联络电缆网算例验证了本文方法的正确性,对FDN和TDN的N-0域、N-1域以及供电能力进行了对比研究。对比发现:1)FDN能扩大N-0/N-1域,提高正常运行情况下带负载的能力与N-1安全性;2)FDN达到不计及N-1和计及N-1下的最大供电能力工作点相比TDN多很多,使其在实际中更容易实现;3)FDN节点负荷能突破馈线容量限制,具有更大的局部带大负荷能力。同时,通过二维视图观察总结FDN安全域的形状特点及形成机理,并揭示其与柔性闭环特征的内在联系,最终从安全和高效角度分析得出多联络更适合发挥FDN作用的结论。展开更多
The boundary stabilization problem of a Timoshenko beam attached with a mass at one end is studied. First, with linear boundary force feedback and moment control simultaneously at the end attached with the load, the e...The boundary stabilization problem of a Timoshenko beam attached with a mass at one end is studied. First, with linear boundary force feedback and moment control simultaneously at the end attached with the load, the energy corresponding to the closed loop system is proven to be exponentially convergent to zero as time t →∞. Then, some counterexamples are given to show that, in other casest the corresponding closed loop system is, in general, not stable asymtotically, let alone exponentially.展开更多
This paper discusses the neutron transport equation in a slab with generalized reflectingboundary conditions.By means of the positive C<sub>0</sub>-semigroup theory,we have proved that this problemhas a un...This paper discusses the neutron transport equation in a slab with generalized reflectingboundary conditions.By means of the positive C<sub>0</sub>-semigroup theory,we have proved that this problemhas a unique nonnegative solution and found the spectral property of the corresponding transportoperator.Finally we give the asymptotic behavior of the solution for this equation.展开更多
文摘The Hilbert boundary value problem Re{λ（t） p√ψ＋（t）} = c（t）, t∈L of normal type with Holder continuous coefficients is discussed, where L is the unit circle ｜t｜ = 1,p ≥2 is any definite integer,ψ^＋（t） is the boundary value of the unknown function ψ（z） holomorphic in ｜z｜ 〈 1 with single-valued continuous p√ψ＋（t） on L.
文摘提出了柔性配电网(flexible distribution network,FDN)的安全域模型,并与传统配电网(traditional distribution network,TDN)对比分析。首先,介绍了FDN的概念与特点。其次,分析了FDN正常运行N-0和N-1下的安全约束。再次,提出了FDN的安全域模型以及安全边界方程。最后,通过单联络与多联络电缆网算例验证了本文方法的正确性,对FDN和TDN的N-0域、N-1域以及供电能力进行了对比研究。对比发现:1)FDN能扩大N-0/N-1域,提高正常运行情况下带负载的能力与N-1安全性;2)FDN达到不计及N-1和计及N-1下的最大供电能力工作点相比TDN多很多,使其在实际中更容易实现;3)FDN节点负荷能突破馈线容量限制,具有更大的局部带大负荷能力。同时,通过二维视图观察总结FDN安全域的形状特点及形成机理,并揭示其与柔性闭环特征的内在联系,最终从安全和高效角度分析得出多联络更适合发挥FDN作用的结论。
基金Project supported by the the National Key Project of China.
文摘The boundary stabilization problem of a Timoshenko beam attached with a mass at one end is studied. First, with linear boundary force feedback and moment control simultaneously at the end attached with the load, the energy corresponding to the closed loop system is proven to be exponentially convergent to zero as time t →∞. Then, some counterexamples are given to show that, in other casest the corresponding closed loop system is, in general, not stable asymtotically, let alone exponentially.
基金Project supported by the science Fund of the Chinese Academy of Sciences
文摘This paper discusses the neutron transport equation in a slab with generalized reflectingboundary conditions.By means of the positive C<sub>0</sub>-semigroup theory,we have proved that this problemhas a unique nonnegative solution and found the spectral property of the corresponding transportoperator.Finally we give the asymptotic behavior of the solution for this equation.
