摘要
针对抽水蓄能机组传统线性模型难以准确描述大波动工况水力瞬变行为,基于特征线法的非线性模型不能满足在线实时仿真及现有用于抽水蓄能机组过渡过程控制优化的调节系统模型不能反映真实机组全工况动态过程等问题,本文提出了一种基于电路等效理论的抽水蓄能机组实时精细化模型(Real-time accurate equivalent circuit model,RAECM)。根据电站实际输水系统布置形式,构建了等效电路网络拓扑图,提出改进Suter变换-BP神经网络的水泵水轮机插值模型,改善了"S"特性区及小开度工况区的模型精度,通过变尺度空间离散分析,推导了用于补偿误差的水头修正公式,并采用稳定域更广的隐式RadauⅡA法对离散后的隐式常微分方程组进行求解,提高了模型稳定性,最后对RAECM模型的时间复杂度及仿真效率进行了分析。试验结果表明,RAECM模型既能满足机组大小波动工况的仿真精度,又能节约计算耗时,可应用于抽水蓄能机组仿真测试装置研发、过渡过程控制优化、系统辨识、控制器设计及参数优化等方面,具有较好的工程价值。
A real-time accurate equivalent circuit model(RAECM)of pumped storage unit(PSU)is proposed to solve the conundrums that the traditional linear model is difficult to accurately describe the hydraulic transient behavior of large fluctuating conditions,and the nonlinear model based on method of characteristic(MOC)cannot ensure the real-time of simulation and the existing models of PSU for control optimization match the actual operations in power station hardly.According to the layout of pipe system,the topological network of equivalent circuit is constructed.The interpolation model of pump turbine based on improved Suter transformation and BP neural network has been put forward to improve the accuracy in the S characteristic area.The formula of water head for compensating error is derived using the discrete analysis of variable-scale space-time.The implicit RadauⅡA is introduced to solve implicit ordinary differential equations,which can improve the model stability owing to the wider stability domain.Finally,the time complexity and simulation efficiency of RAECM are analyzed.The simulations indicate that RAECM can not only satisfy the calculation precision of the overall performance,but also guarantee the real-time in operations,which can serve as the basis for the various engineering applications.
作者
赵志高
杨建东
杨威嘉
陈满
彭煜民
ZHAO Zhigao;YANG JiANDong;YANG Weijia;CHEN Man;PENG Yumin(State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University,Wuhan 430072,China;China Southern Power Grid Power Generation Company,Guangzhou 510630,China)
出处
《水利学报》
EI
CSCD
北大核心
2019年第4期475-487,共13页
Journal of Hydraulic Engineering
基金
国家自然科学基金项目(51879200
51809197
51839008)
国家重点研发计划(2017YFB0903700)
关键词
电路等效理论
抽水蓄能机组
在线仿真
过渡过程
全特性曲线
equivalent circuit theory
pumped storage unit
the real-time simulation
transient process
complete characteristic curves
