基于射影定理次同步附加励磁阻尼控制器设计
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摘要
在交流输电线路中加入串联补偿,可有效提高电力输送能力,但串联补偿的接入,有可能引起送端火电机组的次同步谐振现象,从而造成机组轴系的损坏。附加励磁阻尼控制器作为抑制次同步谐振的一种经济有效的措施而被广泛使用在实际工程中。本文从系统传递函数的角度出发,基于射影定理设计附加励磁阻尼控制器。首先通过TLS-ESPRIT算法得到发电机轴系固有扭振频率下的系统传递函数,然后基于射影定理设计附加励磁阻尼控制器,最终实现次同步谐振的抑制。以IEEE第一标准模型作为实例仿真模型。仿真结果表明,基于矩阵束算法和射影定理设计的附加励磁阻尼控制器可有效抑制交流串联补偿引起的次同步谐振,且所设计控制器具有阶数低的优点,有利于工程实现。
The series capacitive compensation added to AC transmission lines can effectively increase the power transmission capacity.However,series capacitive compensation may cause subsynchronous resonance(SSR) and cause damage to the unit shaft system.Supplementary excitation damping controller,as an economic and effective way,is commonly used in practical engineering for damping SSR.A SEDC base on projective theorem is proposed from the system transfer function point of view.Firstly,the system transfer function of every torsional vibration natural frequencies is identified.Then,the corresponding output feedback damping controller is designed based on the projective theorem and realize block control for each modal.The IEEE first benchmark model is used for simulation,using PSCAD/EMTDC.The simulation result shows that the proposed SEDC based on matrix pencil method and projective theorem can effectively damp subsynchronous resonance while the controller has the advantages of low order which facilitates project implementation.
The series capacitive compensation added to AC transmission lines can effectively increase the power transmission capacity.However,series capacitive compensation may cause subsynchronous resonance(SSR) and cause damage to the unit shaft system.Supplementary excitation damping controller,as an economic and effective way,is commonly used in practical engineering for damping SSR.A SEDC base on projective theorem is proposed from the system transfer function point of view.Firstly,the system transfer function of every torsional vibration natural frequencies is identified.Then,the corresponding output feedback damping controller is designed based on the projective theorem and realize block control for each modal.The IEEE first benchmark model is used for simulation,using PSCAD/EMTDC.The simulation result shows that the proposed SEDC based on matrix pencil method and projective theorem can effectively damp subsynchronous resonance while the controller has the advantages of low order which facilitates project implementation.
引文
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[3]向昌明,吴熙,蒋平.TCSC采样-数据模型在次同步振荡分析中的适用性研究[J].电力系统保护与控制,2013,41(23):55-60.
[4]赵欣,高山,张宁宇.含SVC串补系统的次同步谐振实用阻尼算式[J].电力系统保护与控制,2012,40(20):94-100.
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[10]郭锡玖,谢小荣,刘世宇,等.上都电厂SEDC提高次同步扭振阻尼的现场试验[J].电力系统自动化,2008,32(10):97-100.
[11]吴熙,蒋平.基于实用稳定域的次同步振荡阻尼控制器设计[J].中国电机工程学报,2013,33(25):123-129.
[12]董柏锋,李周,万秋兰.基于SEDC和SSDC抑制HVDC系统SSO的研究[J].电力系统保护与控制,2011,39(9):77-82.
[13]WISE K A,NGUYEN T.Optimal disturbance rejection in missile autopilot design using projective controls[J].Control Systems,IEEE,1992,12(5):43-49.
[14]蒋平,吴熙,罗曦.基于TLS-ESPRIT算法的附加励磁阻尼控制抑制次同步振荡[J].电力自动化设备,2009,29(10):25-29.
[15]K Ogata.现代控制工程(第五版)[M].北京:电子工业出版社,2012.
[2]程时杰,曹一家,江全元.电力系统次同步振荡的理论与方法[M].北京:科学出版社,2009.
[3]向昌明,吴熙,蒋平.TCSC采样-数据模型在次同步振荡分析中的适用性研究[J].电力系统保护与控制,2013,41(23):55-60.
[4]赵欣,高山,张宁宇.含SVC串补系统的次同步谐振实用阻尼算式[J].电力系统保护与控制,2012,40(20):94-100.
[5]江振华,程时杰,傅予力,等.含有可控串联补偿电容的电力系统次同步谐振研究[J].中国电机工程学报,2000,20(6):47-52.
[6]鹿建成,李啸骢,黄维,等.基于SSSC和励磁协调抑制次同步振荡的线性最优控制器设计[J].电力系统保护与控制,2015,43(1):21-27.
[7]刘世宇,谢小荣,张东辉,等.多模式次同步谐振的产生机理与抑制方法[J].清华大学学报:自然科学版,2008,48(4):457-460.
[8]顾益磊,王西田,赵大伟,等.基于改进粒子群算法的附加励磁阻尼控制器设计[J].电力系统自动化,2009,33(7):11-16.
[9]汤凡,刘天琪,李兴源.基于蚁群算法的次同步附加励磁阻尼控制器设计[J].电力系统保护与控制,2010,38(19):170-174.
[10]郭锡玖,谢小荣,刘世宇,等.上都电厂SEDC提高次同步扭振阻尼的现场试验[J].电力系统自动化,2008,32(10):97-100.
[11]吴熙,蒋平.基于实用稳定域的次同步振荡阻尼控制器设计[J].中国电机工程学报,2013,33(25):123-129.
[12]董柏锋,李周,万秋兰.基于SEDC和SSDC抑制HVDC系统SSO的研究[J].电力系统保护与控制,2011,39(9):77-82.
[13]WISE K A,NGUYEN T.Optimal disturbance rejection in missile autopilot design using projective controls[J].Control Systems,IEEE,1992,12(5):43-49.
[14]蒋平,吴熙,罗曦.基于TLS-ESPRIT算法的附加励磁阻尼控制抑制次同步振荡[J].电力自动化设备,2009,29(10):25-29.
[15]K Ogata.现代控制工程(第五版)[M].北京:电子工业出版社,2012.