Application of optimal control for wind integrated power system

Nelson Dhanpal Chetty, Gulshan Sharma, Manoj Kumawat, Pitshou N. Bokoro


This paper presents the modeling and application of an optimal controller for frequency and tie-line power stability for a two-area interconnected hydro-thermal power plant having tandem compound non-reheat turbines integrated with wind power generation having doubly fed induction generator (DFIG) wind turbines in each area. The power system is interconnected using AC tie-lines. The designed optimal controller was implemented and the system dynamic responses for three power system model states were obtained considering a 1% load fluctuation in one of the areas. The optimal control strategy presented in this paper depends on formulating an error value and finding the feedback gains corresponding to each state of the system, which are easily attainable as outputs. The analysis was undertaken and verified by calculating the performance index value, the closed ring real and imaginary values, finding the feedback gains, and through graphical simulations of the three system models under investigation. The output of the optimal controller was enhanced when the DFIG-based wind turbines were installed in each area combined with a superconducting magnetic energy storage (SMES) unit and a thyristor control phase shifter (TCPS).


Eigen values; Optimal control; Superconducting magnetic energy storage; Thyristor control phase shifter; Wind turbines

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O.I. Elgerd, C. Fosha, Optimum megawatt frequency control of multi-area electric energy systems, IEEE Trans. Power Apparat. Syst. PAS-89 (1970) 556–563.

J.L. Willems, Sensitivity analysis of the optimum performance of conventional load frequency control, IEEE Trans. Power Apparat. Syst. PAS-93 (1974) 1287–1291.

A. Panwar, G. Sharma, S.K. Sahoo, R.C. Bansal, Active Power Regulation of Hydro Dominating Energy System using IDD optimized FPA, Energy Procedia, 158 (2019) 6328-6333.

S.K. Sahoo, G. Sharma, A. Panwar, R.C. Bansal, Frequency Regulation of Wind Integrated Power System using Dual Mode Fuzzy, Energy Procedia, 158 (2019) 6321-6327.

Ibraheem, and P Kumar, Current status of the Indian power system and dynamic performance enhancement of hydro power systems with asynchronous tie lines. Electric Power Comp.and Syst (2003) 31:605-626.

TH Mohamed, H Bevrani, AA Hassan, T and Hiyama, Decentralized model predictive based load frequency control in an interconnected power system. Energy Conv. and Manag (2011), 52:1208-1214.

V Chandrakala, V Sukumar and K Sankaranarayanan, Load frequency control of multi-source multi-area hydro thermal system using flexible alternating current transmission system devices. Electric Power Comp. and Syst (2014), 42(9):927-934.

Tarkeshwar, and V Mukherjee, A novel quasi-oppositional harmony search algorithm and fuzzy logic controller for frequency stabilization of an isolated hybrid power system. Int. Journal of Elect. Power & Energy Syst. (2015), 66: 247-261.

P Bhatt, R Roy and SP Ghoshal, Dynamic participation of DFIG in automatic generation control. Renew Energy (2011), 36: 1203–1213.

G. Sharma, Optimal AGC design for diverse sources of power generations in each area using output vector feedback control technique, Int. Journal of Engineering Research in Africa, 45 (2019), 99-114.

Ibraheem, K.R. Niazi, G. Sharma, Study on dynamic participation of wind turbines in AGC of power system, Electric Power Component and Syst. 43 (2014) 44-55.

K.P. Singh Parmar, S. Majhi, D.P. Kothari, LFC of an interconnected power system with multi-source power generation in deregulated power environment, Int. Journal of Elect. Power & Energy Syst. 57 (2014) 277-286.

Y. Arya, and N. Kumar, AGC of a multi-area multi-source hydrothermal power system interconnected via AC/DC parallel links under deregulated environment, Int. Journal of Electrical Power & Energy Systems. 75 (2016) 127-138.

Y. Arya, and N. Kumar, AGC of a two‐area multi‐source power system interconnected via AC/DC parallel links under restructured power environment, Optimal Control Applications and Methods. 37 (2016) 590-607.

P. Keung, P. Lei, H. Banakar, and B.T. Ooi, Kinetic energy of wind-turbine generators for system frequency support, IEEE Trans. Power Syst. 24 (2009) 279–287.

X. Yingcheng, T. Nengling, Review of contribution to frequency control through variable speed wind turbine, Renew. Energy. 36 (2011) 1671–1677.

J. Ekanayake, N. Jenkins, Comparison of the response of doubly fed and fixed-speed induction generator wind turbines to change in network frequency, IEEE Trans. Energy Conv.19-4 (2004) 800–802.

R.G. De Almeida, J.A.P. Lopes, Participation of doubly fed induction wind generators in system frequency regulation, IEEE Trans. Power Syst., 22-3 (2007) 944–950.

M. Jalali, DFIG based wind turbine contribution to system frequency control, Ph.D. Thesis, University of Waterloo, Canada (2011).

W. Qiao and R. G. Harley, Effect of grid-connected DFIG wind turbines on power system transient stability, in Power and Energy Society General Meeting-Conversion and Delivery of Electrical Energy in the 21st Century, 2008, pp. 1-7.

A. Petersson, Analysis, modeling and control of doubly-fed induction generators for wind turbines, Chalmers University of Technology, 2005.

J. Muñoz and C. Cañizares, Comparative stability analysis of DFIG- based wind farms and conventional synchronous generators, in Power Systems Conference and Exposition (PSCE), (2011) IEEE/PES, pp. 1-7

M. Kayikci, and J. V. Milanovic, Dynamic contribution of DFIG-based wind plants to system frequency disturbances,” IEEE Trans. Power Syst., vol. 24, no. 2, (2009), pp. 859–867.

J. M. Mauricio, A. Marano, A. Gomez-Exposito, and J. L. M. Ramos, “Frequency regulation contribution through variable-speed wind energy conversion systems,” IEEE Trans. Power Syst., vol. 24, no. 1, (2009), pp. 173–180.

N. G. Hingorani and L. Gyugyi, Understanding FACTS, IEEE press, 2000.

T. de Assis, E. H. Watanabe, L. A. S. Pilotto, and R. B. Sollero, A new technique to control reactive power oscillations using STATCOM, in 10th International Conference on Harmonics and Quality of Power, vol. 2, (2002), pp. 607-613.

S. Megh, K. D. Lalit, and N. K. G, FACTS Devices in Renewable Energy Plants to solve Power System issues," SSRG International Journal of Electrical and Electronics Engineering (SSRG-IJEEE), vol. 3, no. 5 (2016), p. 6.

I. A. Chidambaram, and B. Paramasivam, Optimized load-frequency simulation in restructured power system with redox flow batteries and interline power flow controller, Int. J. Electr. Power Energy Syst.,vol. 50, (2013), pp. 9-24.

H. J. Kunish, K. G. Kramer, and H. Domnik, Battery energy storage another option for load frequency control and instantaneous reserve, IEEE Trans. Energy Conv., vol. 1, no. 1, (1986), pp. 46-5.

S. K. Aditya and D. Das, Battery energy storage for load frequency control of an interconnected power system, Elect. Power Syst. Res., vol. 58, no. 3, (2001), pp. 179-185.

S.C. Tripathy, R. Balasubramanian and P.S.C. Nair, Adaptive automatic generation control with superconducting magnetic energy storage in power system, IEEE Trans. Energy Convers., vol. 7, no. 3, (1992), pp. 434-441.

S.C. Tripathy, R. Balasubramanian and P.S.C. Nair, Effects of superconducting magnetic energy storage on automatic generation control considering governor dead-band and boiler dynamics, IEEE Trans. Power Syst., vol. 7, no. 3, (1992), pp. 1266-1273.

S.C. Tripathy and K.P. Juengst, Sampled data automatic generation control with superconducting magnetic energy storage in power systems, IEEE Trans. Energy Convers., vol. 12, no. 2, (1997), pp. 187-192.

P. Bhatt, S.P. Ghoshal and R. Roy, Coordinated control of TCPS and SMES for frequency regulation of interconnected restructured power systems with dynamic participation from DFIG based wind farm, Renew. Energy, vol. 40, (2012), pp. 40-50.

P. Bhatt, R. Roy and S.P. Ghoshal, Comparative performance evaluation of SMES-SMES, TCPS-SMES and SSSC-SMES controllers in automatic generation control for a two area hydrohydro system, Int. J. Electr. Power Energy Syst., vol. 33, no. 10, (2011), pp. 1585-1597.

P. Bhatt, S. P. Ghoshal and R. Roy, Load frequency stabilization by coordinated control of thyristor controlled phaseshifters and superconducting magnetic energy storage for three types of interconnected two-area power systems, Int. J. Electr. Power Energy Syst., vol. 32, no. 10, (2010), pp. 1111-1124.

P. Bhatt, R. Roy, S.P. Ghoshal, Load frequency control of interconnected restructured power system along with DFIG and coordinated operation of TCPS-SMES, 11th International Conference on Probabilistic Methods Applied to Power Systems (PMAPS 2010), pp. 131–136.



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