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IRJET- Fuzzy predictive control of Variable Speed Wind Turbines using Fuzzy Techniques
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1.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 3566 Fuzzy predictive control of Variable Speed Wind Turbines Using Fuzzy Techniques D. Jyothirmayi 1, P. Navyasri2, N.Sudhakar3,A.Madhubabu4 ,S.Anil5 ,K.Saranya6 1,2,3,4,5,6 IV B tech student, RSR engineering college Dept of EEE ,R.S.R engineering college ,Kadanuthala 6 Assistant Professor ,Dept of EEE ,R.S.R engineering college ,Kadanuthala, Bogole (M) ,SPSR Nellore (Dst) A.P state, India. ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract -In this paper, a fuzzy logic controller is proposed to fulfill the objective of maximum power extraction based on a two mass model. One of the typical problems is that the effective wind speed cannot be measured directly due to the high disturbance of the wind speed and the high cost of sensors. Three algorithms are used to estimate the effective wind speed by solving power balance equations.Theestimated wind speed is used to determine the optimal speed reference for generator control system. The control performance of the fuzzy logic controller is verified in the whole system Simulation results are presented to illustrate the effectiveness and robustness against parameter variations of the proposed control design. Key Words: Wind Power generation ,MPPT, LQR, Fuzzy systems, Filtering algorithms 1. INTRODUCTION DURING the last decades, the demand of clean and renewable energy sourceshasbeen growing intensivelydue to environment issues. Among the renewable energy sources, such as wind turbines, Photovoltaic and fuel cells, are expected Owing to the rapid progress in wind turbine technology and its economic and safety properties, wind power is considered as one of the most promising cleaner and renewable sources among these renewable energy sources [1]–[3]. One of the most prominent problems of wind energy extraction is itslow efficiency.Therefore,under the partial loaded operation condition, how to increase the power extraction becomesof high importance.Awidelyused control method is maximum power point tracking (MPPT) control [4]–[8]. This control strategy aimsto adjusttherotor speed according to the variations of wind speed, in order to maintain the tip speed ratio at its optimal value, which equivalently realizes MPPT. The principle obstacle of the MPPT control design is the unavailability of the wind speed. First, wind speed is a highly disturbed value whichcannotbe easily measured using simple and portable measuring device. Second, since the blade is a non-particle rigid body, the measured wind speed only represents a single point in the blade which is not applicative to other parts. Third, the implementation of physical sensors will increase system complexity, cost, space and reduce system reliability [9]. According to [10], the sensors failure and the consequent control failures take up more than 40% of failures. As a result, many research endeavors have been focused on the wind speed estimation problem [11] such as power balance estimator method [12], Kalman filter (KF)-based estimator [13]–[15], disturbance accommodating control (DAC) [16], unknown input observer (UIO) [17] and the immersion and invariance (I&I) estimator [18]. In this paper, three algorithms are used to estimate the effective wind speed by solving power balance equations. The estimated windspeed is used to determine the optimal speed reference for generator control system. Several model based control approaches have been studied for the wind turbine system, such as linear-quadratic regulator (LQR), pole-placement and PID, which provides convenience to implement such controllers in practical applications [3], [19]. Sliding mode techniques have been widely used to control the wind turbine systems [21], [22]. Especially, higherorder sliding mode algorithms have better performance as compared to classical sliding mode controllersbecausetheir output is continuous and does not require any low pass filters [23]–[25]. However, such methods require accurate mathematical models of wind turbine system, which are difficult to obtain. In this paper, fuzzy logic control method is adopted [5]. Fuzzy logic is a part of artificial intelligence which approximates the imprecise reasoning process in human mind and largely enhanced the expert system technology. Fuzzy logic control is based on the fuzzy if-then linguistic rules and has the inherent robustness to uncertainties [27], [28]. 2. WIND SYSTEM A wind turbine is a device that converts the wind's kinetic energy into electrical power. Wind turbines are manufactured in a wide range of vertical and horizontal axis types. The smallest turbines are used for applications such as battery charging for auxiliary power for boats or caravans or to power traffic warning signs. Slightly larger turbines can be used for making contributions to a domestic power supply while selling unused power back to the utility supplier via the electrical grid. Arrays of large turbines, known aswind farms, are becominganincreasingly important source of intermittent renewable energy and are used by many countries as part of a strategy to reduce their reliance on fossil fuel.
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 3567 A quantitative measure of the wind energy available at any location is called the Wind Power Density(WPD). It is a calculation of the mean annual power available per square meterof swept areaof a turbine, and is tabulatedfordifferent heights above ground. Calculation of wind power density includes the effect of wind velocity and air density. Wind turbines can rotate about either a horizontal or a vertical axis, the former being both older andmore common. They can also include blades (transparent or not) or be bladeless. Vertical designs produce less power and are less common. 3. WIND TURBINE MODELING Wind turbine system consists of four major parts,i.e., wind turbine blades, gearbox and shaft, generator, and power converters. The wind energy is captured through turbine blades and converted into mechanical torque. Thegenerator transforms the mechanical torque into electricity, which is conveyed into the grid after been adjusted by the power converters. This paper focuses on the modeling of the mechanical and aerodynamic parts, which considers comprehensive dimensions, such as gearbox and shafts stiffness, viscous resistance, loading effect, losses, etc. A two-mass model is adopted in this paper which is suitable for control design. Fig. 1 shows the structural model of such transmission system [20]. Fig1- Two-Mass Drive Train Model. The rotator and low-speed shaft is modeled by a rotational moment of inertia Jr, two viscous damper with damping constant Br and Bls respectively and a spring which represents shaft stiffness Kls. The generator and high-speed shaft is modeled by a rotational moment of inertia Jg, and a viscous damper with damping constant Bg. The gearbox is modeled by a gearbox ratio ng, which is supposed to be perfectly stiff. 4. FUZZY LOGIC CONTROL Fuzzy logic is a part of artificial intelligence which approximates the imprecise reasoning process in human mind and largely enhanced the expert system technology. The fuzzy controller consists of four parts: fuzzification, fuzzy rule base, inference engine and defuzzification [4], [27],[30]. Fuzzy logic control is based on the fuzzy if-then linguistic rules and has the inherent robustness to uncertainties [27], [28]. Compared to classical control methods, fuzzy logic based controller can effectively avoid the requirement of precise model of the control system. The block diagram of MPPT control system is shown in Fig.2(a). In the block diagram, the ωtopt and iqopt are the reference value of rotor speed and generator current respectively, while the ωt and iq are the measurement value derived from the wind turbine system. The block diagram of MPPT control system is shown in Fig.2(a). In the block diagram, the ωtopt and iqopt are the reference value of rotor speed and generator current respectively, while the ω t and iq are the measurementvalue derived from the wind turbine system. Fig2- (a) MPPT Control System With Fuzzy Logic Controller (b) Structure Of Fuzzy Logic Controller 4.1 DESIGNING OF FUZZY SYSTEM: Inorder to create a Fuzzy system for the model we have to follow the given procedure. 1.Open the MATLAB File. 2.Enter Fuzzy in the matlab window. 3.Fuzzy toolbox will open. 4.Open file in the tool box. 5.Select Mandani model 6.Now open edit option and add required variables from input and output. 7.Now open input and draw the membership functions for the required range. 8.After drawing the membership functions now write down the rules for the system.
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 3568 9.Now SAVE the system with the nameXX.fis. 10.After saving the system now export it to the matlab model. In the case of fuzzification process for this system we have taken two inputs input 1 is actual value of the error e ,input 2 is change of the error e and output 1 is∆u .For these inputs we have taken the triangular membership functions from the range -6 to 6.For the outputs we have taken the triangular membership function for thr range -7 to 7.For these member ship functions we have taken the rule base sytem in 7X8 format .it means that totally we have created 56 rules. For the defuzzification method we use thecentroid method. For these inputs and output the linguistictermsareshownin table 1. TABLE-1: Fuzzy linguistic terms The linguistic terms “NB”, “NM”, “NS”, “ZO”,“PS”, “PM”, “NB” mean “negative big”, “negative medium”, “negative small”, “zero”, “positive small”, “positive medium”, “positive big”, respectively. The “NO” and “PO” mean “negative zero” and “positive zero” respectively to improve control precision as the variables approach zero. The universes of discourse of the error e, the change of the error e and the output ∆u are firstly determined by the range of predicted actual values. These universes of discourse can be adjusted on the basis of the controller performance by the scalingfactorsasshownin Fig. 2(a). Particularly, the triangle membership functions of all the three signals have no overlap in order to simplify the controller. The membership functions should not be set to zero at the neighborhood of original to precludeoutputdead zone. The parameters of the membership function should be slightly adjusted in order to improve the controller’s performance. To fulfill the control objective that the measurement value ωt track the optimal reference rotor speed ωtopt , the following fifty-six fuzzy inference rulesare adopted as illustrated in Table 2. In this fuzzy logic controller, the inference method used is minimum and the defuzzication used is based on the center of gravity method. TABLE-2: FUZZY RULES The fuzzy editor system and the surface viewer is shown in the figure3 and 4. Fig3- FIS editor system Fig4-Surface viewer of fuzzy system 4.2 Advantages of fuzzy logic controllers 1. FLC controllers do not need an accurate mathematical model it can work with imprecise inputs. 2.More robust. 3.Faster adjustment time. 4. High adaptability of fuzzy controller to nonlinear system. 5. The steady-state error of fuzzy logic control is minor.
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 3569 5. SIMULNK DIAGRAM Simulink model For Wind Turbine Using Fuzzy Logic Controller Is Shown Below: Fig4-Wind turbine using FLC 6. RESULTS: Fig5- Wind Speed Estimation Of FLC Control Fig6- Optimal Rotor Speed Tracking Of FLC Control Fig7- Turbine Power Capture Of FLC Controller Fig8- Actual Tip Speed Ratio Of FLC Controller Fig9- Low Speed Shaft Torque Of FLC Controller
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 3570 Fig10- Actual Power Coefficient Of FLC Control CONCLUSION This paper has proposed a fuzzy logic controller for maximum wind power extraction based on a two-mass model. The value of wind speed hasbeen estimated fromthe available variables, i.e. the generator speed and turbine torque using three numerical algorithms. The estimated value has been used for sensor-less control design based on fuzzy logic algorithm. The effectiveness and superiority of the proposed estimation and control approaches have been demonstrated by simulation results, as compared to PI controller with its gains well-tuned. REFERENCES [1] E. Romero-Cadaval, G. Spagnuolo, L. G. Franquelo, C.-A. Ramos-Paja,T. Suntio, and W.-M. Xiao, “Grid-connected photovoltaic generation plantscomponentsand operation,” IEEE Industrial Electronics Magazine,vol. 7, no. 3, pp. 6–20, Sept. 2013. [2] J. Wang, N. Tse, and Z. Gao, “Synthesis on PI-based pitch controller of large wind turbines generator,” Energy Conversion and Management,vol. 52, no. 2, pp. 1288–1294, 2011. [3] J. Napoles, A. J. Watson, J. J. Padilla, J. I. Leon, L. G. Franquelo, P. W.Wheeler, and M. A. Aguirre, “Selective harmonic mitigation technique for cascaded H-bridge converters with nonequal DC link voltages,” IEEE Transactions On Industrial Electronics, vol. 60, no. 5, pp. 1963–1971,May 2013. [4] X. Su, P. Shi, L. Wu, and Y. D. Song, “A novel control design on discrete-time takagi-sugeno fuzzy systems with time- varying delays,”IEEE Transactions on FuzzySystems,vol.21, no. 4, pp. 655–671, Aug 2013. [5] X. Su, H. Zhou, and Y. D. Song, “An optimal divisioning technique to stabilization synthesis of T-S fuzzy delayed systems,” IEEE Transactions on Cybernetics, vol. PP, no. 99, pp. 1–10, 2016. [6] E. Iyasere, M. Salah, D. Dawson, J. Wagner, and E. Tatlicioglu, “Optimum seeking-basednon-linearcontrollerto maximise energy capture in a variable speed wind turbine,” vol. 6, no. 4, pp. 526–532, 2012-03. [7] M. Pucci, “Sensors-less neural maximum power point tracking control of induction machines wind generators by growing neural gas and minor component analysis EXIN + reduced order observer,” vol. 4, no. 9, pp. 1627–1638, 2010- 09. [8] L. Henriksen, M. Hansen, and N. Poulsen, “Wind turbine control with constraint handling: a model predictive control approach,” vol. 6, no. 11,pp. 1722–1734, 2012. [9] W. Qiao, X. Yang, and X. Gong, “Wind speed and rotor position sensorless control for direct-drive PMG wind turbines,” IEEE Transactions on Industry Applications, vol. 48, no. 1, pp. 3–11, 2012. [10] J. Ribrant and L. Bertling, “Survey of failures in wind power systems with focus on swedish wind power plants during 1997-2005,” in Power Engineering Society General Meeting, 2007. IEEE. IEEE, 2007, pp.1–8. [11] M. N. Soltani, T. Knudsen, M. Svenstrup, R. Wisniewski, P. Brath, R. Ortega, and K. Johnson, “Estimation of rotor effective wind speed: A comparison,” IEEE Transactions on Control Systems Technology,vol. 21, no. 4, pp. 1155–1167, 2013. [12] E. Van der Hooft and T. Van Engelen, “Estimated wind speed feed forward control for wind turbine operation optimization,” in Proceedings of European Wind Energy Conference in London, UK, 2004. [13] T. Knudsen, T. Bak, and M. Soltani, “Prediction models for wind speed at turbine locations in a wind farm,” Wind Energy, vol. 14, no. 7, pp.877–894, 2011. [14] P. Brath, J. Stoustrup, et al., “Estimation ofeffectivewind speed,” in Journal of Physics: Conference Series,vol.75,no.1. IOP Publishing,2007, p. 012082. [15] Y. Zhao, C. Cachard, and H. Liebgott, “Automatic needle detection and tracking in 3D ultrasound using an ROI-based RANSAC and Kalman method,” Ultrasonic Imaging, vol. 35, no. 4, pp. 283–306, 2013. [16] C. Johnson, “Disturbance-accommodating control; an overview,” in American Control Conference, 1986. IEEE, 1986, pp. 526–536. [17] P. F. Odgaard, C. Damgaard, and R. Nielsen, “Unknown input observer based estimation of wind speed for wind turbinescontrol,” in World Congress, vol. 18, no. 1, 2011,pp. 1698–1703. [18] R. Ortega, F. Mancilla-David, and F. Jaramillo,“Aglobally convergent wind speed estimator for wind turbinesystems,” International Journal of Adaptive Control and Signal Processing, vol. 27, no. 5, pp. 413–425,2013. [19] S. Nallusamy, D. Velayutham, and U. Govindarajan, “Design and implementation of a linear quadratic regulator
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 3571 controlled active power conditioner for effective source utilisation and voltage regulation in lowpower wind energy conversion systems,” vol. 8, no. 11, pp. 2145–2155, 2015. [20] B. Boukhezzar and H. Siguerdidjane, “Comparison between linear and nonlinear control strategies for variable speed wind turbines,” Control Engineering Practice, vol. 18, no. 12, pp. 1357–1368, 2010. [21] B. Beltran, M. E. H. Benbouzid, and T. Ahmed-Ali, “Second-order sliding mode controlofadoublyfedinduction generator driven wind turbine,” IEEE Transactions on Energy Conversion, vol. 27, no. 2, pp.261–269, 2012. [22] B. Beltran, T. Ahmed-Ali, and M. Benbouzid,“High-order sliding mode control of variable-speed wind turbines,” IEEE Transactions on Industrial Electronics, vol. 56, no. 9, pp. 3314–3321, 2009. [23] A. Levant, “Higher-order sliding modes, differentiation and output feedback control,” International Journal of Control, vol. 76, no. 9-10, pp. 924–941, 2003. [24] J. Liu, S. Laghrouche, M. Harmouche, and M. Wack, “Adaptivegain second-order sliding mode observer design for switching power converters,” Control Engineering Practice, vol. 30, no. 0, pp. 124–131,2014. [25] J. Liu, S. Laghrouche, and M. Wack, “Observer-based higher order sliding mode control of power factor in three- phase AC/DC converter for hybrid electric vehicle applications,” International Journal of Control,vol. 87, no. 6, pp. 1117–1130, Jan 2014.
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