水轮机系统分数阶调节方法  

Fractional Order Governing Method for Hydroturbine System

作　　者：周宇阳 郭俊鑫 董利江 ZHOU Yuyang;GUO Junxin;DONG Lijiang(Xinhua Control Engineering Co.,Ltd.,Shanghai 200240,China;Shanghai TriE Industry Co.,Ltd.,Shanghai 200240,China;National Energy Group Xinjiang Jilin Tai Hydropower Development Co.,Ltd.,Yining 835000,Xinjiang Uygur Autonomous Region,China;State Grid Xinjiang Electric Power Co.,Ltd.,Electric Power Science Research Institute,Urumqi 830000,China)

机构地区：[1]新华控制工程有限公司,上海200240 [2]上海朴宜实业有限公司,上海200240 [3]国家能源集团新疆吉林台水电开发有限公司,新疆伊宁835000 [4]国网新疆电力有限公司电力科学研究院,乌鲁木齐830000

出　　处：《动力工程学报》2024年第11期1704-1711,共8页Journal of Chinese Society of Power Engineering

基　　金：国家能源集团资助项目(GJNY-20-186);国网新疆电力有限公司资助项目(D230DK220033)。

摘　　要：针对水轮机系统分数阶模型的PI^(λ)控制器,基于实根与复根边界在不同阶次λ下计算调节参数k_(p)与k_(i)的稳定域,分析其规律并以此为边界,利用频域分析方法在调节预设的剪切频率ω_(c)与相位裕度φ_(m)条件下求取具体的k_(p)与k_(i)参数,使得分数阶PI^(λ)控制器能够达到期望的跟踪性与鲁棒性。仿真试算结果表明:该方法的控制效果较佳,相比基于时间与绝对误差乘积积分(ITAE)指标的群智能方法,该方法的解析特性使其易于通过组态实现,从而在可编程控制器(PLC)或分散控制系统(DCS)上实现工程应用。Aiming at PI^(λ)controller of fractional order model for hydroturbine system,the steady domains of the governing parameters of k_(p)and k_(i)were calculated under different orders ofλbased on the boundary between real roots and complex roots.The regular pattern of the domain was analyzed.Bounded by the domain,the specific parameters of k_(p)and k_(i)were seeked under the premise of preset for the cross-over frequencyω_(c)and phase marginφ_(m)using frequency domain analysis method so as to reach the expected traceability and control robustness of the PI^(λ)controller of fractional order model.Simulation calculation results show that the control effect of the method is good.Compared with the swarm intelligence solutions based on integrated time and absolute error,it is easy to realize through configuration due to the analytic formula of the method,thus site application can be realized by programmable logic controller(PLC)or distributed control system(DCS).

关 键 词：水轮机 分数阶 稳定性 剪切频率 相位裕度 

分 类 号：TK73[交通运输工程—轮机工程]