摘要
用数学方法严格证明,在存在空间电荷及其产生的离子流矢量J的无风高压直流(high-voltage direct current,HVDC)系统中,如果离子迁移率为常数,并且离子扩散电流不存在或离子扩散电流平行于漂移电流,离子扩散系数为常数,则稳态时J的方向与该系统不存在空间电荷时的电场矢量E0的方向相同。由于这时J的方向与实际电场矢量E的方向相同,所以E的方向与E0的方向相同,但两者的幅度则不一样,这就是著名的Deutsch(第一)假设。不满足上述条件时,Deutsch假设不能在数学上严格成立。文中还讨论了这些限制条件与HVDC系统结构以及离子流场电气参数的关系。
Space-charge affects only the magnitude of the （electric） field but not its direction. This is the well-known Deutsch＇s （first） assumption. Based on rigorous mathematic derivation this paper proved that for a HVDC system with space-charge and ion-flow vector J but not wind, Deutsch＇s assumption holds if the following restrain conditions are satisfied. （1）. Mobilities and diffusion coefficients of ions are constant; （2）. There is no ion diffusion flow Jdiff, or the direction of Jdiff is parallel to the direction of ion drift flow Jdrif; （3）. Continuity of J lines keeps, i.e. in the case of steady-state. Otherwise, the assumption is questionable in mathematics. Connection between＇ the restrain conditions and the configuration of HVDC system as well as the electrical parameters of ion-flow field are also discussed.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2014年第18期3027-3034,共8页
Proceedings of the CSEE
