近年来随着柔性高压直流(modular multilevel converter based high voltage direct current,MMC-HVDC)输电工程的增长,主网架线损率呈上升趋势。对柔性直流工程进行准确高效的损耗计算与分析是研究损耗构成、降损措施的关键步骤。提出...近年来随着柔性高压直流(modular multilevel converter based high voltage direct current,MMC-HVDC)输电工程的增长,主网架线损率呈上升趋势。对柔性直流工程进行准确高效的损耗计算与分析是研究损耗构成、降损措施的关键步骤。提出了一种基于有限采样的柔性直流系统损耗高效计算方法,该方法考虑脉冲波形及器件阻抗的非线性特征,并可通过改变输入数据快速计算长时段损耗电量,有效解决了长时间尺度损耗精确计算的难题。最后通过与实际工程的测量值进行对比,验证了该算法的准确性。展开更多
The Hopf algebraic structure,i.e.,comultiplication,coinverse and counit,is presented for a two-parameter deformed boson oscillator algebra.This result shows that the two-parameter deformed boson oscillator algebra is ...The Hopf algebraic structure,i.e.,comultiplication,coinverse and counit,is presented for a two-parameter deformed boson oscillator algebra.This result shows that the two-parameter deformed boson oscillator algebra is a Hopf algebra which is neither commutative nor cocommutative.展开更多
A successive gauge transformation operator Tn+k for the discrete KP(dKP) hierarchy is defined,which is involved with two types of gauge transformations operators.The determinant representation of the Tn+k is establish...A successive gauge transformation operator Tn+k for the discrete KP(dKP) hierarchy is defined,which is involved with two types of gauge transformations operators.The determinant representation of the Tn+k is established and it is used to get a new τ function τ(n+k) of the dKP hierarchy from an initial τ.In this process,we introduce a generalized discrete Wronskian determinant and some useful properties of discrete difference operators.展开更多
In this paper,we derive Darboux transformation of the inhomogeneous Hirota and the Maxwell-Bloch(IH-MB)equations which are governed by femtosecond pulse propagation through inhomogeneous doped fibre.The determinant re...In this paper,we derive Darboux transformation of the inhomogeneous Hirota and the Maxwell-Bloch(IH-MB)equations which are governed by femtosecond pulse propagation through inhomogeneous doped fibre.The determinant representation of Darboux transformation is used to derive soliton solutions,positon solutions to the IH-MB equations.展开更多
By using the soliton theory, it is known that the exact solutions of the Schrdinger equation for the time_dependent harmonic oscillator only need to solve an oscillation equation with respect to space variable and a t...By using the soliton theory, it is known that the exact solutions of the Schrdinger equation for the time_dependent harmonic oscillator only need to solve an oscillation equation with respect to space variable and a time_dependent Schrdinger equation.展开更多
The additional symmetries of the constrained CKP (cCKP) and BKP (cBKP) hierarchies are given by their actions on the Lax operators, and their actions on the eigenfunction and adjoint eigenfunction {Φ i , Ψ i } are p...The additional symmetries of the constrained CKP (cCKP) and BKP (cBKP) hierarchies are given by their actions on the Lax operators, and their actions on the eigenfunction and adjoint eigenfunction {Φ i , Ψ i } are presented explicitly. Furthermore, we show that acting on the space of the wave operator, *k forms new centerless W cC 1+∞ and W cB 1+∞ -subalgebra of centerless W 1+∞ respectively. In order to define above symmetry flows *k of the cCKP and cBKP hierarchies, two vital operators Y k are introduced to revise the additional symmetry flows of the CKP and BKP hierarchies.展开更多
文摘近年来随着柔性高压直流(modular multilevel converter based high voltage direct current,MMC-HVDC)输电工程的增长,主网架线损率呈上升趋势。对柔性直流工程进行准确高效的损耗计算与分析是研究损耗构成、降损措施的关键步骤。提出了一种基于有限采样的柔性直流系统损耗高效计算方法,该方法考虑脉冲波形及器件阻抗的非线性特征,并可通过改变输入数据快速计算长时段损耗电量,有效解决了长时间尺度损耗精确计算的难题。最后通过与实际工程的测量值进行对比,验证了该算法的准确性。
文摘The Hopf algebraic structure,i.e.,comultiplication,coinverse and counit,is presented for a two-parameter deformed boson oscillator algebra.This result shows that the two-parameter deformed boson oscillator algebra is a Hopf algebra which is neither commutative nor cocommutative.
基金supported by National Natural Science Foundation of China (Grant No.10671187)the Program for New Century Excellent Talents in University (Grant No.NCET-08-0515)
文摘A successive gauge transformation operator Tn+k for the discrete KP(dKP) hierarchy is defined,which is involved with two types of gauge transformations operators.The determinant representation of the Tn+k is established and it is used to get a new τ function τ(n+k) of the dKP hierarchy from an initial τ.In this process,we introduce a generalized discrete Wronskian determinant and some useful properties of discrete difference operators.
基金supported by the National Natural Science Foundation of China(Grant Nos.11201251 and 11271210)Zhejiang Provincial Natural Science Foundation of China(Grant No.LY12A01007)+1 种基金the Natural Science Foundation of Ningbo(Grant No.2013A610105)K.C.Wong Magna Fund in Ningbo University
文摘In this paper,we derive Darboux transformation of the inhomogeneous Hirota and the Maxwell-Bloch(IH-MB)equations which are governed by femtosecond pulse propagation through inhomogeneous doped fibre.The determinant representation of Darboux transformation is used to derive soliton solutions,positon solutions to the IH-MB equations.
基金the National Basic Research "NonlinearScience"theState Education Commission of China.
文摘By using the soliton theory, it is known that the exact solutions of the Schrdinger equation for the time_dependent harmonic oscillator only need to solve an oscillation equation with respect to space variable and a time_dependent Schrdinger equation.
基金supported by National Natural Science Foundation of China (Grant Nos. 10971109, 10971209)the Program for New Century Excellent Talents in University (Grant No. NCET-08-0515)
文摘The additional symmetries of the constrained CKP (cCKP) and BKP (cBKP) hierarchies are given by their actions on the Lax operators, and their actions on the eigenfunction and adjoint eigenfunction {Φ i , Ψ i } are presented explicitly. Furthermore, we show that acting on the space of the wave operator, *k forms new centerless W cC 1+∞ and W cB 1+∞ -subalgebra of centerless W 1+∞ respectively. In order to define above symmetry flows *k of the cCKP and cBKP hierarchies, two vital operators Y k are introduced to revise the additional symmetry flows of the CKP and BKP hierarchies.
