Global continuous robust finite-time control design for unified power flow controller. (English) Zbl 1401.93156
Summary: This article proposes a Global Continuous Robust Finite-Time Control (GCRFTC) for a Unified Power Flow Controller (UPFC) to improve the transient stability and oscillation damping of power system. First, by using an appropriate coordinate transformation, the nonlinear system of the UPFC is transformed into a nonlinear Port-Controlled Dissipative Hamiltonian (PCDH) system. Second, based on the PCDH system, by utilizing the Hamiltonian structural properties and the “energy shaping plus damping injection” technique, a proper form of a Hamiltonian function is obtained for the PCDH system. Third, using the Hamiltonian function method, finite-time stability criterion and robust control technique, the GCRFTC is designed and theoretically proved, and the chattering phenomena and the high-order frequencies of the power system are avoided effectively. Lastly, a six-bus and two power plants power system with a UPFC is used to test the effectiveness and robustness of the GCRFTC. Simulation results show that the speed, overshoot, and settling time of the response and the transient conditions of the GCRFTC are further improved in comparison with that of the robust finite-time power flow control.
MSC:
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93B51 | Design techniques (robust design, computer-aided design, etc.) |
| 93B35 | Sensitivity (robustness) |
| 93B05 | Controllability |
| 93C55 | Discrete-time control/observation systems |
Keywords:
finite-time stability control; global continuous robust control; PCDH system; transient stability; UPFCReferences:
| [1] | GuoJ, CrowML, SarangapaniJ. An improved UPFC control for oscillation damping. IEEE Trans Power Syst. 2009;24(1):288‐296. |
| [2] | ShayeghiH, ShayanfarHA, JalilzadehS, SafariA. Design of output feedback UPFC controller for damping of electromechanical oscillations using PSO. Energy Convers Manag. 2009;50(10):2554‐2561. |
| [3] | ZarghamiM, CrowML, JagannathanS. Nonlinear control of FACTS controllers for damping interarea oscillations in power systems. IEEE Trans Power Deliv. 2010;25(4):3113‐3121. |
| [4] | ZhangL, ZhangA, RenZ, LiG, ZhangC, HanJ. Hybrid adaptive robust control of static var compensator in power systems. Int J Robust Nonlinear Control. 2014;24(12):1707‐1723. · Zbl 1301.93060 |
| [5] | ZhouJ. Sequential circle criterion approach for robustly stabilizing individual generators with SVC. Int J Robust Nonlinear Control. 2015;25(15):2726‐2744. · Zbl 1328.93233 |
| [6] | AjamiA, ShotorbaniAM, AagababaMP. Application of the direct Lyapunov method for robust finite‐time power flow control with a unified power flow controller. IET Gener Transm Distrib. 2012;6(9):822‐830. |
| [7] | ShotorbaniAM, AjamiA, AghababaMP, HosseiniSH. Direct Lyapunov theory‐based method for power oscillation damping by robust finite‐time control of unified power flow controller. IET Gener Transm Distrib. 2013;7(7):691‐699. |
| [8] | WangK, YanB, CrowML, GanD. A feedback linearization based unified power flow controller internal controller for power flow control. Electr Power Compon Syst. 2012;40(6):628‐647. |
| [9] | ShojaeianS, SoltaniJ, MarkadehGA. Damping of low frequency oscillations of multi‐machine multi‐UPFC power systems, based on adaptive input‐output feedback linearization control. IEEE Trans Power Syst. 2012;27(4):1831‐1840. |
| [10] | LeiB, FeiS, ZhaiJ. Decentralized nonlinear robust coordinated control of UPFC and generators in multi‐machine power system via pseudo‐generalized Hamiltonian theory. Asian J Control. 2015;17(5):1962‐1971. · Zbl 1333.93010 |
| [11] | TaherSA, AmooshahiMK. New approach for optimal UPFC placement using hybrid immune algorithm in electric power systems. Int J Electr Power Energy Syst. 2012;43(1):899‐909. |
| [12] | MalhotraU, GokarajuR. An add‐on self‐tuning control system for a UPFC application. IEEE Trans Ind Electron. 2014;61(5):2378‐2388. |
| [13] | KumarBV, SrikanthNV. Optimal location and sizing of unified power flow controller (UPFC) to improve dynamic stability: a hybrid technique. Int J Electr Power Energy Syst. 2015;64:429‐438. |
| [14] | LinWM, LuKH, OuTC. Design of a novel intelligent damping controller for unified power flow controller in power system connected offshore power applications. IET Gener Transm Distrib. 2015;9(13):1708‐1717. |
| [15] | SharmaS, VadheraS. Enhancement of power transfer capability of interconnected power systems using unified power flow controller (UPFC). Int J Electron Electr Eng. 2016;4(3):199‐202. |
| [16] | ShotorbaniAM, AjamiA, ZadehSG, AghababaMP, MahboubiB. Robust terminal sliding mode power flow controller using unified power flow controller with adaptive observer and local measurement. IET Gener Transm Distrib. 2014;8(10):1712‐1723. |
| [17] | RoutraySK, PatnaikRK, DashPK. Damping interarea oscillations in power systems using finite time terminal sliding mode control of the unified power flow controller. Int J Power Energy Convers. 2016;7(3):259‐291. |
| [18] | MoazzamiM, MorshedMJ, FekihA. A new optimal unified power flow controller placement and load shedding coordination approach using the hybrid imperialist competitive algorithm‐pattern search method for voltage collapse prevention in power system. Int J Electr Power Energy Syst. 2016;79:263‐274. |
| [19] | TiwariS, NareshR, JhaR. Neural network predictive control of UPFC for improving transient stability performance of power system. Appl Soft Comput. 2011;11(8):4581‐4590. |
| [20] | RoutraySK, PatnaikRK, DashPK. Adaptive non‐linear control of UPFC for stability enhancement in a multimachine power system operating with a DFIG based wind farm. Asian J Control. 2017;19(4):1575‐1594. · Zbl 1370.93076 |
| [21] | MohantyA, PatraS, RayPK. Robust fuzzy‐sliding mode based UPFC controller for transient stability analysis in autonomous wind‐diesel‐PV hybrid system. IET Gener Transm Distrib. 2016;10(5):1248‐1257. |
| [22] | AlbatshFM, MekhilefS, AhmadS, MokhlisH. Fuzzy‐logic‐based UPFC and laboratory prototype validation for dynamic power flow control in transmission lines. IEEE Trans Ind Electron. 2017;64(12):9538‐9548. |
| [23] | DuttaS, MukhopadhyayP, RoyPK, NandiD. Unified power flow controller based reactive power dispatch using oppositional krill herd algorithm. Int J Electr Power Energy Syst. 2016;80:10‐25. |
| [24] | WangYZ, GangF. On finite‐time stability and stabilization of nonlinear port‐controlled Hamiltonian systems. Sci China Inf Sci. 2013;56(10):1‐14. · Zbl 1488.93154 |
| [25] | LeiB, FeiS. A brand new nonlinear robust control design of SSSC for transient stability and damping improvement of multi‐machine power systems via pseudo‐generalized Hamiltonian theory. Control Eng Pract. 2014;29(6):147‐157. |
| [26] | LeiB, FeiS. IN H_∞ control for STATCOM to improve voltage stability of power system. Electron Lett. 2017;53(10):670‐672. |
| [27] | LeiB, FeiS, ZhaiJ. Coordinated control of static synchronous compensator and automatic voltage regulator in multi‐machine power systems using pseudo‐generalized Hamiltonian theory. Proc Inst Mech Eng, Part I J Syst Control Eng. 2013;228(3):154‐166. |
| [28] | LeiB, WuX, FeiS. A new‐style decentralized nonlinear robust coordinated control of multiple static synchronous compensators. Paper presented at: 2016 35th Chinese Control Conference (CCC). 2016; Chengdu, China. |
| [29] | LeiB, FeiS, ZhaiJ, et al. Coordinated control of automatic voltage regulator and SVC in multi‐machine power system. Trans China Electrotech Soc. 2015;30(18):131‐139. |
| [30] | DongQ, ZongQ, TianB, ZhangC, LiuW. Adaptive disturbance observer‐based finite‐time continuous fault‐tolerant control for reentry RLV. Int J Robust Nonlinear Control. 2017;27(18):4275‐4295. · Zbl 1379.93036 |
| [31] | ZangenehA, KazemiA, HajatipourM, JadidS. A Lyapunov theory based UPFC controller for power flow control. Int J Electr Power Energy Syst. 2009;31(7‐8):302‐308. |
| [32] | YamCM, HaqueMH. A SVD based controller of UPFC for power flow control. Electr Power Syst Res. 2004;70(1):76‐84. |
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