摘要
在水电站水库优化调度中,水库入库径流的描述直接影响水库运用的动能经济效益和工程安全.为了更客观地反映雨源型河川径流内在的随机特性和时历特性规律,较好地反映河川径流的连续性,将中小型水库入库径流过程按连续随机过程处理,提出雨源型水库的入库径流具有马氏链特性的条件,将十分复杂的径流关系简化为相邻时段间的相关关系,使问题大为简化.根据卡氏建议,将径流转换成对应的另一变量,按正态分布规律的频率密度分配微分方程,建立全年各时段的径流转移概率矩阵数学模型,作为水库入库径流的数学描述。
The description of runoff into the reservior of a hydropower station directly affects the dynamic economic benefits of the operation of the reservoir and the safety of the project. To reflect objectively the characteristics of randomness and time dependence of runoff of rainsource rivers, and the continuity of runoff, this article treats runoff into small and medium reservoirs as a continuous random process. The runoff into a reservoir of rain source pattern has Ma′s Chain characteristic, thus, the complicated relation of runoff can be simplified into the relation of neighbouring time intervals. Based upon Ka′s suggestion, runoff is converted to another corresponding variable. According to the frequency density distribution differential equation of normal distribution law, the matrix mathematic model of runoff transfer probability is set up for every period of the year. This mathematic model can function as a mathematic discription of runoff into the reservoir and it is very practical.
出处
《河海大学学报(自然科学版)》
CAS
CSCD
1999年第3期95-98,共4页
Journal of Hohai University(Natural Sciences)
关键词
入库径流
随机过程
水电站
水库
数学模型
runoff into reservoir
random process
Ma′s Chain
normal distribution
transfer probability matrix
mathematic model