基于改进型IQC算法的时延电力系统控制方法研究
|
摘要
通信时延会影响广域电力系统的稳定性,是控制系统性能恶化或者失效的重要原因之一。文章首先建立了计及时延的电力系统微分方程模型,提出基于改进型积分二次约束(Integral Quadratic Constraint,IQC)算法的时延电力系统稳定分析与控制方法。相比于传统IQC算法,该方法约束时延电力系统的输入输出,利用IQC和耗散不等式相结合的方法来设计时延反馈控制器,使稳定性判据的保守性更好。文章以IEEE两区域四机系统为例,采用DSATOOLS的TSAT进行仿真,结果表明所提出的方法有效地减小振荡并降低时延对电力系统稳定性的影响。
Communication time delay is detrimental to power system stability and a main reason of the performance deterioration or failure for the control systems. This paper starts with modeling of the power system based on time-delay differential algebraic equations. A method based on an improved integral quadratic constraints( IQC) is proposed to guarantee the stability and control of power system with time-delays. Compared with the original IQC method,this method utilizes IQC algorithm to confine the input and output of time-delayed states of power system. Besides,a combination of IQC method and dissipation inequality is proposed to design the IQC controller,thus,the stability criterion is more conservative. A two-area four-machine power system is built to conduct the simulation based on the TSAT software of DSATOOLS. The simulation results indicate that the proposed method can effectively damp the oscillation and weak the impact of time-delay on stability of power system.
Communication time delay is detrimental to power system stability and a main reason of the performance deterioration or failure for the control systems. This paper starts with modeling of the power system based on time-delay differential algebraic equations. A method based on an improved integral quadratic constraints( IQC) is proposed to guarantee the stability and control of power system with time-delays. Compared with the original IQC method,this method utilizes IQC algorithm to confine the input and output of time-delayed states of power system. Besides,a combination of IQC method and dissipation inequality is proposed to design the IQC controller,thus,the stability criterion is more conservative. A two-area four-machine power system is built to conduct the simulation based on the TSAT software of DSATOOLS. The simulation results indicate that the proposed method can effectively damp the oscillation and weak the impact of time-delay on stability of power system.
引文
[1]张放,程林,黎雄,等.广域闭环控制系统时延的测量及建模(一):通信时延及操作时延[J].中国电机工程学报,2015,35(22):5768-5777.Zhang Fang,Cheng Lin,Li Xiong,et al.Delay Measurement and Modeling in a Wide-area Closed-loop Control System,Part I:Communication Delay and Operational Delay[J].Proceedings of the CSEE,2015,35(22):5768-5777.
[2]F.Milano and M.Anghel,Impact of Time Delays on Power System Stability[J].IEEE Trans on Circuits Syst.I,Reg.Papers,2012,59(4):889-900.
[3]L.Cheng,G.Chen,W.Gao,F.Zhang,and G.Li,Adaptive time delay compensator(ATDC)design for wide-area power system stabilizer[J].IEEE Trans on Smart Grid,2014,5(6):2957-2966.
[4]胡楠,李兴源,杨毅强,等.考虑时变时滞影响的直流广域阻尼自适应控制[J].电网技术,2014,38(2):281-288.Hu Nan,Li Xingyuan,Yang Yiqiang,et al.Adaptive wide-area damping control for HVDC transmission system considering influence of timevarying delay[J].Power System Technology,2014,38(2):281-288.
[5]张振军,孙军,覃杰.计及时延的互联电力系统分散式阻尼控制[J].电测与仪表,2017,54(11):84-88.Zhang Zhenjun,Sun Jun,Tan Jie.Decentralized Damping Control of Interconnected Power System with Time Delay[J].Electrical Measurement&Instrumentation,2017,54(11):84-88.
[6]J.Li,Z.Chen,et al.,Delay-Dependent Stability Control for Power System With Multiple Time-Delays[J].IEEE Trans on Power System,2016,31(3):2316-2326.
[7]宋墩文,杨学涛,等.大规模互联电网低频振荡分析与控制方法综述[J].电网技术,2011,35(10):22-28.Song Dunwen,Yang Xuetao,et al.A survey on analysis on low frequency oscillation in large-scale interconnected power grid and its control measures[J].Power System Technology,2011,35(10):22-28.
[8]胡志坚,赵义术.计及广域测量系统时滞的互联电力系统鲁棒稳定控制[J].中国电机工程学报,2010,30(19):37-43.Hu Zhijian,Zhao Yishu.Robust stability control of power systems based on WAMS with signal transmission delays[J].Proceedings of the CSEE,2010,30(19):37-43.
[9]Rajchakit M,Niamsup P,Rajchakit G.LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays[J].Advances in Difference Equations,2013:332.
[10]A.Megretski and A.Rantzer.System analysis via integral quadratic constraints[J].IEEE Trans on Automatic Control,1997,42:819-830.
[11]C.-Y.KAO.On stability of discrete-time LTI systems with varying time delays[J].IEEE Trans.Autom.Control,2012,57(5):1243-1248.
[12]S.Z.Khong,E.Lovisari and A.Rantzer.A Unifying Framework for Robust Synchronization of Heterogeneous Networks via Integral Quadratic Constraints[J].IEEE Trans on Automatic Control,2016,61(5):1297-1309.
[13]C.-Y.Kao and A.Rantzer.Stability analysis of systems with uncertain time-varying delays[J].Automatica,2007,43(6):959-970.
[14]M.Zribi,M.Mahmoud,M.Karkoub,and T.Lie.H∞-controllers for linearised time-delay power systems[J].IEE Proc.Gener,Transm,Distrib,2000,147(6):401-408.
[15]Dmitry A.Altshuller.Delay-Integral-Quadratic Constraints and Stability Multipliers for Systems With MIMO Nonlinearities[J].IEEE Trans on Automatic Control,2011,56(4):738-747.
[16]J.Carrasco1,P.Seiler.Integral Quadratic Constraint Theorem:A topological separation approach[D].2015 IEEE 54th Annual Conference on Decision and Control(CDC),2015:5701-5706.
[17]P.Kundur,N.Balu,and M.Lauby,Power System Stability and Control[D].New York,NY,USA:Mc Graw-Hill Education,1994.
[2]F.Milano and M.Anghel,Impact of Time Delays on Power System Stability[J].IEEE Trans on Circuits Syst.I,Reg.Papers,2012,59(4):889-900.
[3]L.Cheng,G.Chen,W.Gao,F.Zhang,and G.Li,Adaptive time delay compensator(ATDC)design for wide-area power system stabilizer[J].IEEE Trans on Smart Grid,2014,5(6):2957-2966.
[4]胡楠,李兴源,杨毅强,等.考虑时变时滞影响的直流广域阻尼自适应控制[J].电网技术,2014,38(2):281-288.Hu Nan,Li Xingyuan,Yang Yiqiang,et al.Adaptive wide-area damping control for HVDC transmission system considering influence of timevarying delay[J].Power System Technology,2014,38(2):281-288.
[5]张振军,孙军,覃杰.计及时延的互联电力系统分散式阻尼控制[J].电测与仪表,2017,54(11):84-88.Zhang Zhenjun,Sun Jun,Tan Jie.Decentralized Damping Control of Interconnected Power System with Time Delay[J].Electrical Measurement&Instrumentation,2017,54(11):84-88.
[6]J.Li,Z.Chen,et al.,Delay-Dependent Stability Control for Power System With Multiple Time-Delays[J].IEEE Trans on Power System,2016,31(3):2316-2326.
[7]宋墩文,杨学涛,等.大规模互联电网低频振荡分析与控制方法综述[J].电网技术,2011,35(10):22-28.Song Dunwen,Yang Xuetao,et al.A survey on analysis on low frequency oscillation in large-scale interconnected power grid and its control measures[J].Power System Technology,2011,35(10):22-28.
[8]胡志坚,赵义术.计及广域测量系统时滞的互联电力系统鲁棒稳定控制[J].中国电机工程学报,2010,30(19):37-43.Hu Zhijian,Zhao Yishu.Robust stability control of power systems based on WAMS with signal transmission delays[J].Proceedings of the CSEE,2010,30(19):37-43.
[9]Rajchakit M,Niamsup P,Rajchakit G.LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays[J].Advances in Difference Equations,2013:332.
[10]A.Megretski and A.Rantzer.System analysis via integral quadratic constraints[J].IEEE Trans on Automatic Control,1997,42:819-830.
[11]C.-Y.KAO.On stability of discrete-time LTI systems with varying time delays[J].IEEE Trans.Autom.Control,2012,57(5):1243-1248.
[12]S.Z.Khong,E.Lovisari and A.Rantzer.A Unifying Framework for Robust Synchronization of Heterogeneous Networks via Integral Quadratic Constraints[J].IEEE Trans on Automatic Control,2016,61(5):1297-1309.
[13]C.-Y.Kao and A.Rantzer.Stability analysis of systems with uncertain time-varying delays[J].Automatica,2007,43(6):959-970.
[14]M.Zribi,M.Mahmoud,M.Karkoub,and T.Lie.H∞-controllers for linearised time-delay power systems[J].IEE Proc.Gener,Transm,Distrib,2000,147(6):401-408.
[15]Dmitry A.Altshuller.Delay-Integral-Quadratic Constraints and Stability Multipliers for Systems With MIMO Nonlinearities[J].IEEE Trans on Automatic Control,2011,56(4):738-747.
[16]J.Carrasco1,P.Seiler.Integral Quadratic Constraint Theorem:A topological separation approach[D].2015 IEEE 54th Annual Conference on Decision and Control(CDC),2015:5701-5706.
[17]P.Kundur,N.Balu,and M.Lauby,Power System Stability and Control[D].New York,NY,USA:Mc Graw-Hill Education,1994.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |