Heuristic control of nonlinear power systems: Application to the infinite bus problem

• Autorzy: Hossain Musabbir Md , Khurshudyan Asatur Zh.

Identyfikatory

DOI

10.24425/acs.2019.129382

• Języki publikacji: EN

Abstrakty

EN

In this paper, we apply the heuristic method for determination of control functions for controllability analysis of nonlinear power systems. The problem of control of quasi-linear systems under proper assumptions on the nonlinear term is considered in the general statement. Making use of the Green’s function solution of nonlinear systems, the exact and approximate controllability conditions are expressed in terms of unknown controls in an explicit form. The way of resolving controls determination is discussed. As a particular application, a one-machine infinite-bus system is considered described by a coupled system of three first order ordinary differential equations. Two heuristic forms of admissible controls are considered providing approximate controllability within the same amount of time having different intensities. Results of numerical simulations are presented and discussed.

Słowa kluczowe

EN

power systems; nonlinear control; heuristic method; harmonic control; piecewise constant control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2019
• Tom: Vol. 29, No. 2
• Strony: 279--288
• Opis fizyczny: Bibliogr. 24, rys., wzory

Twórcy

autor

Hossain Musabbir Md

• School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, China

autor

Khurshudyan Asatur Zh.

• Department of Dynamics of Deformable Systems and Coupled Fields, Institute of Mechanics, NAS of Armenia, 24B Baghramyan ave., 0019, Yerevan, Armenia
• Institute of Natural Sciences, Shanghai Jiao Tong University, 800 Dong Chuan rd., 200240, Shanghai, P.R. China

Bibliografia

• [1] M. Pavella, D. Ernst, and D. Ruiz-Vega: Transient stability of power systems: a unified approach to assessment and control. Springer Science & Business Media, 2012.
• [2] G. Filatrella, A. H. Nielsen, and N.F. Pedersen: Analysis of a power grid using a Kuramoto-like model. The European Physical Journal B, 61(4) (2008), 485–491.
• [3] J. J. Ford, G. Ledwich, and Z. Y. Dong: Nonlinear control of single-machine-infinite-bus transient stability. IEEE Power Engineering Society General Meeting, IEEE, (2006), 8-pp.
• [4] W. Zhang, F. Xu, W. Hu, M. Li, W. Ge, and Z. Wang: Research of coordination control system between nonlinear robust excitation control and governor power system stabilizer in multi-machine power system. IEEE International Conference on Power System Technology (POWERCON), IEEE, (2012), 1–5.
• [5] Y. Wan: Nonlinear robust control for single-machine infinite-bus power systems with input saturation. Bulletin of the Polish Academy of Sciences, Technical Sciences, 65(1) (2017), 3–9.
• [6] A. Panda: Automatic generation control of multi area interconnected power system considering nonlinearity due to governor dead band. Archives of Control Sciences, 7 (1998), 285–299.
• [7] S. Daniar, M. Shiroei, and R. Aazami: Multivariable predictive control considering time delay for load-frequency control in multi-area power systems. Archives of Control Sciences, 26 (2016), 527–549.
• [8] A. Swain, D. Almakhles, M. J. Neath, and A. Nasiri: Robust H1 output feedback control of bidirectional inductive power transfer systems. Archives of Control Sciences, 27(1) (2017), 41–62.
• [9] L. Jerbi, L. Krichen, and A. Ouali: Optimal control strategy of variable wind speed generator based on Artificial Neutral Networks. Archives of Control Sciences, 16(4) (2006), 423-433.
• [10] F. DeMello and C. Concordia: Concepts of synchronous machine stability as affected by excitation control. IEEE Transactions on Power Apparatus and Systems, 88(4) (1969), 316–329.
• [11] J. Ritonja, D. Dolinar, and B. Grcar: Simple adaptive control for a power-system stabiliser. Control Theory and Applications, IEE Proceedings, 147(4) (2000), 373–380.
• [12] Y. Cao, L. Jiang, S. Cheng, D. Chen, O. P. Malik, and G. Hope: A non-linear variable structure stabilizer for power system stability. IEEE Transactions on Energy Conversion, 9(3), (1994), 489–495.
• [13] M. A. Magzoub, N. B. Saad, and R.B. Ibrahim: Power system stabiliser for single machine in infinite bus based on optimal control methods. IEEE 8th International Power Engineering and Optimization Conference (PEOCO2014), IEEE, (2014), 313–317.
• [14] S. P. Nangrani and S. S. Bhat: Chaotic behavior of single machine Infinite bus power system subjected to turbine torque ripple. Modern Electric Power Systems (MEPS), IEEE (2015), 1–5.
• [15] M. Frasca and As. Zh. Khurshudyan: Green’s function for higher order nonlinear equations: Case studies for KdV and Boussinesq equations. International Journal of Modern Physics C, 29(10) (2018), 1850104.
• [16] M. Frasca and As. Zh. Khurshudyan: A general representation for the Green’s function of second order nonlinear differential equations. Computational and Mathematical Methods, DOI: 10.1002/cmm4.1038.
• [17] A. S. Avetisyan and As. Zh. Khurshudyan: Controllability of Dynamic Systems: The Green’s Function Approach. Cambridge Scholars Publishing, Cambridge, 2018.
• [18] As. Zh. Khurshudyan: Heuristic determination of resolving controls for exact and approximate controllability of nonlinear dynamic systems. Mathematical Problems in Engineering, 2018 (2018), Article ID 7179160, 9 pages.
• [19] As. Zh. Khurshudyan: Resolving controls for the exact and approximate controllability of the viscous Burgers’ equation: The Green’s function approach. International Journal of Modern Physics C, 29(6) (2018), 1850045.
• [20] A. S. Avetisyan and As. Zh. Khurshudyan: Exact and approximate controllability of nonlinear dynamic systems in infinite time: The Green’s function approach. ZAMM-Journal of Applied Mathematics and Mechanics, 98 (2018), 1992–2009.
• [21] As. Zh. Khurshudyan: Exact and approximate controllability conditions for micro-swimmers deflection governed by electric field on a plane: The Green’s function approach. Archives of Control Sciences, 28(3) (2018), 335–347.
• [22] As. Zh. Khurshudyan: Distributed controllability of one-dimensional heat equation in unbounded domains: The Green’s function approach. Archives of Control Sciences, 29(1) (2019), 57–71.
• [23] As. Zh. Khurshudyan and Sh. Kh. Arakelyan: Resolving controls for approximate controllability of sandwich beams with uncertainty: The Green’s function approach. Mechanics of Composite Materials, 55(1) (2019), 85–94.
• [24] Q. Lu, Y. Sun, and S. Mei: Nonlinear control systems and power system dynamics. Springer Science & Business Media, 2013.

Uwagi

EN

1. The work of the first author is supported by the School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, China. The work of the second author is partly supported by the State Administration of Foreign Experts Affairs of China.

PL

2. Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).