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    Abstract A microcontroller based system is proposed for low cost and high efficiency control of small wind turbine. The

    perturbation and observation method is employed to achieve maximum peak power tracking (MPPT). The algorithm, controller functions,and driving signals are implemented on ATMEGA16 microcontroller. The prototype of MPPT controller was tested with real wind turbine

    at the laboratory in Germany. The actual operating points of the wind turbine with MPPT controller were compared with power versus

    rotational speed curve in order to verify the tracking performance. The result confirms that small wind turbine with proposed MPPT

    controller can operate in the maximum power region for the whole range of assigned wind speeds.

    Keywords small wind turbine, vertical twisted H-Rotor, wind energy, maximum peak power tracking, dc/dc converter,

    microcontrollers.

    1NOMENCLATURE

    Aturb = cross-section area of the turbine perpendicularto the wind direction.

    cT = torque coefficient

    cP = power coefficientib = battery current [A]ig = generator current [A]iref = reference current [A]

    ibref = battery current reference [A]

    Jt t& = rotational torque[N.m],

    M = step size

    R = radius of blade of blade [m]

    Rg = generator resistance []

    Ta = aerodynamic torque [N]Tf = friction torque [N]

    Tg = generator torque [N]Ts = update time [s]Pe = electrical power [W]

    Plosses

    = power lossse [W]Pt = turbine power [W]

    Pwind = wind power [W]v = voltage [V]

    vt = wind speed [m/s]VB = battery voltage [V]

    Vb = voltage drop at generator brush [V]Vg = generator voltage [V]

    t = rotational angular speed of blade [rad/s]

    cutin = cut in speed [rad/s]

    = tip speed ratio TSR

    = pitch angle [radian]

    = the air density [kg/m3]

    1. INTRODUCTION

    Nowadays, there are more and more concerns over the

    fossil fuel exhaustion and the environment problems caused byfossil fuel based conventional power generation. To solve those

    problems, renewable energy is widely accepted as one of

    B. Neumanee is with Department of Electrical Engineering, Faculty of

    Engineering, King Mongkuts Institute of Technology North Bangkok,

    Thailand, Pibulsongkram Rd., Bangsue, Bangkok 10800, Thailand, E-mail: [email protected]

    S. Chatratana is the Deputy Director of Technology Management Center,

    National Science and Technology Development Agency (NSTDA), 111Thailand Science Park, Paholyothin Rd., Klong 1, Klong Luang,

    Phathumthani 12120,Thailand, E-mail : [email protected]

    appropriate alternatives. If renewable energy is available in

    abundance, such as wind and solar energy, it is widely exploited.Wind turbines are now mainly used for the electric energy

    production. Large wind turbine systems can be directlyconnected to the grid for transmission of electrical power

    whereas small wind turbine systems are normally equipped withbattery systems to store the electrical power.The basic structure for the H- and Twisted H-rotors are

    shown in Fig. 1. The vertical H-Rotor wind turbine (Fig. 1 a) hasmany advantages, for example: 1) it can work very well in very

    bad condition, 2) the construction is simple and it needs littlemaintenance, 3) it has long life time, 4) it is easy to install and

    produces low noise, 5) it does not need yaw system, 6)mechanical, electrical components, and the generator can be

    equipped on or near the ground. However, the main disadvantageis that it requires high starting torque [1]. To solve this problem,

    a normal H-Rotor turbine was redesigned to a new Twisted-H-Rotor (THR) as shown in Fig. 1 b). The new THR retains all the

    advantages of H-Rotor but with low starting torque and reducedpeak of tangential and thrust force with same energy capture. Thenew design results in a turbine with very low noise, low

    vibration, and low stress on the blade.A 10 kW normal vertical H-Rotor installed at Alfred-

    Wegener-Institute for Polar and Marine Research station inAntarctica is shown in Fig. 2. This wind turbine has beenoperated in very bad conditions (snowing, windy, stormy, and

    very cold) in Antarctica since 1989 (more than 16 years). It needsonly single maintenance for eddy current break [2].

    Fig. 1 Comparison of normal H- Rotor and Twist-H-Rotor

    wind turbine

    Bunlung Neammanee and Somchai Chatratana

    Maximum Peak Power Tracking Control for the new Small Twisted

    H-Rotor Wind Turbine

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    Fig. 2 A 10kW H-Rotor at Alfred-Wegener-Institute station in

    Antarctica 1989.

    2. AERODYNAMIC OF WIND TURINE

    Wind power is a function of wind speed, v t given in (1)

    Pwind =2

    Aturb

    3tv

    (1)

    According to Betz law, the amount of power can be

    captured by an ideal wind turbine is 16/27th (0.5925) of P windcalculated from Equation (1). It is shown in [3] that if v tdecelerates by 2/3, the optimum extraction is achieved.

    Tip speed ratio (TSR), , is defined as the ratio of the tip

    speed to the wind speed, given by

    t

    t

    vR= (2)

    The power produced by the wind turbine is given by

    Pturb = Pwind cP(,) =2

    Aturb 3tv cP(,) (3)

    The aerodynamic torque acting on turbine blades is

    obtained respectively:

    Ta =2

    Aturb

    2tv cT(,) (4)

    It can be seen in (3) and (4) that power and torque

    coefficient are the function of TSR and . In a fixed pitch wind

    turbine (e.g., twisted H-rotor), is constant; thus, cP and cTdepend only on TSR. It can be found from Equations (2), (3) and

    (4) that the relation between , cP and cT is

    cP = cT (5)

    For the aerodynamic of the vertical axis twisted H rotor,reference [2] gives full account of the derivation of tangential

    force, trust force and total force on the blade of the turbine withrespect to attack angles and wind velocity. However, for small

    wind turbine and for practical purpose, there is always analternative of describing the characteristic of the wind turbine. In

    this paper the characteristics of wind turbine was obtained from a

    laboratory test. The wind turbine was blown with a fan whosespeed can be controlled . Output power from the turbine is thenmeasured for each value of rotation speed. The typical outputcharacteristic of power and torque versus rotational frequency

    curves are shown in Fig. 3 (a) and (b) [4], [5].

    Fig. 3 Typical characteristic curves of wind turbine at

    various wind speeds. (a) Power versus rotational frequency.

    (b) Torque versus rotational frequency.

    0 0.5 1 1.5 2 2.50

    0.05

    0.1

    0.15

    0.2

    0.25

    vt= 8.1 m/s

    vt= 7.1 m/s

    vt= 6.7 m/s

    vt= 6.0 m/s

    vt= 4.8 m/s

    vt= 4.3 m/s

    Tip speed ratio

    Powercoefficientspeedratio

    Fig. 4 Characteristic of power coefficient and tip speed ratio

    at wind speed from 4.3 m/s to 8.1 m/s

    From test results, cP and TSR can be calculated and theirrelationship is shown in Fig. 4 for six wind speed values (from

    4.3 m/s to 8.1 m/s). For an ideal wind turbine, there should beonly one curve (the solid line) for any wind speed. These

    variations are due to air turbulence and non laminar flow aroundthe blades and errors in measurement of wind speed.

    To derive a mathematical model for the twisted H rotorshown in Fig. 2 b), we assume that there is only single

    representation of cT versus TSR (for example the solid line inFig. 4) and that the blades and the whole rotor are considered a

    single lumped mass. The relationship among aerodynamic,friction and generator torque, wind turbine power, moment ofinertia and angular speed can be expressed by

    Ta = Jt t&

    + Tf+Tg (6)

    Pt = (Jt t& + Tf+ Tg)t (7)

    From Equations (2), (3), (6) and (7), a block diagram of the

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    simplified wind turbine system can be established as shown inFig. 5.

    Fig. 5 Block diagram of the simplified wind turbine plant.

    3. MPPT PROCESS AND CONTROL

    ALGORITHM

    The MPPT algorithm commonly used for solar panel

    control can be applied to maximize the wind turbine outputpower. Fig. 6 shows the characteristic of power and torque versus

    speed of wind turbine that needs to be controlled [6], [7]. The

    main purpose of the MPPT controller is to maintain operatingpoint on Pm_max for any wind speeds. The operating point can beon the positive slope (the left side of the Pm_max), zero slope (thepoint where Pm_max occurs), and negative slope (the right side of

    the Pm_max). If the operating point is in the positive slope region,the controller must move the operating point to the right to get

    closer to the maximum point. This can be achieved by decreasingload (battery) current, which results in an increase in rotationalspeed. Conversely, if the operating point lies on the right hand

    side of the peak, the load current has to be increased, resulting ina decrease in the rotational speed. The step to increase/decrease

    load current references is

    ibref[(k+1)Ts]= ibref[(k)Ts] + M

    ]T)k[(

    ]T)k[(p

    st

    s

    (8)

    The instantaneous power slope is calculated by

    slope =]T)k[(

    ]T)k[(p

    st

    s

    (9)

    Fig. 6 Wind turbine output power and torque characteristics

    with MPP tracking process.

    The reference current is updated by the MPPT controller at every

    time step Ts. The above mentioned actions bring the operating point toward Pm_max by increasing or decreasing the rotational

    speed step-by-step. This tracking methodology in the controlscheme is called the perturbation and observation method (P&O)

    method. [1]The control flowchart of the maximum power tracking

    system in Fig. 7 illustrates the details of decision processes basedon the tracking procedure in Fig. 6. If the rotational speed is

    higher than the cut-in speed, cutin, the MPPT controller will start

    the procedure. If a given perturbation leads to a positive ornegative slope, the next perturbation increases or decreases

    rotational speed until the slope becomes zero (i.e., maximumpower point is reached).

    Fig. 7 The MPPT control program flowchart.

    To implement the MPPT control in the ATMEGA16

    microcontroller unit for wind turbine control, Equation (7)should be rewritten in more detail as given (10). The right handside of Equation (10) is the sum of rotational power, electrical

    power, friction power, and brush and copper power losses,respectively.

    Pt = J t& t + Pe + Tft+ Vbig + ig2Rg (10)

    Ta = Pt/t (11)

    Fig. 8 Block diagram of MPPT control system for wind

    turbine for battery charger.

    The overall block diagram of control system is shown in Fig. 8.

    The dash line covers the MPPT controller built from Equations

    (2), (8), (10) and (11). It is connected to the plant consisting ofthe wind turbine coupled with a generator, a dc/dc converter, a

    battery and sensors. The MPPT controller receives generatorvoltage and current signals from the sensors. The controller

    calculates turbine speed (i.e., dc generator speed) from the

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    product of generator voltage, electromotive force (EMF) andgenerator constant. The output power, the slope of power with

    respect to speed, and battery current references are updated usingEquation (8). This reference will be sent to a battery regulation

    loop (lower right conner of the figure), where a proportional-integral (PI) compensator is used to control the load current as

    desired and improve the system stability.

    4. WIND TURBINE CHARATERISTIC

    Since the Twisted H-Rotor is a new vertical wind turbine,it is therefore important to know its characteristics before theMPPT controller is implemented. The test system, in Fig. 9,

    comprises a twisted H-Rotor directly coupled to an encoder and adc generator. The output of the generator is connected to a

    variable resistive load with a voltage sensor and a dc currentsensor. This system employs an anemometer to measure wind

    speed. All sensors are connected to the signal conditioner, PLC

    and a computer to data monitoring and recording (i.e., vt, ig, ,vt). A wind speed simulator consists of a fan driven by a 15 kW

    induction motor whose speed is controlled by a frequencyconverter.

    Fig. 9 Diagram of the Twisted H-Rotor with testedequipments for find the characteristic of wind turbine.

    Figure 10 shows the power coefficient versus TSR (tip

    speed ratio) with 6 values of wind speed. The graphs in the figurehave similar characteristics; namely, one curve has only one peak

    where the optimum TSR locates and the positive and negativeslopes lie on the left and right of the optimum TSR. This

    characteristic is an important property for each wind turbine. Theoptimum TSR of a wind turbine is useful to determine the

    maximum power the turbine can supply. For example, twoturbines can have the same sweep areas and same power

    coefficients but one of them may have higher optimum TSR thanthe other. The turbine with higher TSR can operate at higherspeed and supplies more power. For this reason, a power

    coefficient-TSR curve can be used to compare the efficiency ofdifferent wind turbines.

    0 0.5 1 1.5 2 2.50

    0.05

    0.1

    0.15

    0.2

    0.25

    vt= 8.1 m/s

    vt= 7.1 m/s

    vt= 6.7 m/s

    vt= 6.0 m/s

    vt= 4.8 m/s

    vt= 4.3 m/s

    Tip speed ratio

    Powercoefficientspeedratio

    Fig. 10 Power coefficients versus tip speed ratio

    Figure 11 shows 6 curves of the torque coefficient versus TSRfor the same wind speeds as those in Figure 10. As can be seen

    from the two figures, power coefficient-TSR and torquecoefficient-TSR curves have a similar trend. It is, however,

    important to note that the maximum cP does not coincide withmaximum cT at the same TRS and wind speed.

    0 0.5 1 1.5 2 2.50

    0.02

    0.04

    0.06

    0.08

    0.1

    0.12

    0.14

    0.16

    vt=8.1 m/s

    vt=7.1 m/s

    vt=6.7 m/svt=6.0 m/s

    vt=4.8 m/s

    vt=4.3 m/s

    Tip speed ratio

    Torquecoefficientspeed

    ratio

    Fig. 11 Torque coefficients versus tip speed ratio at various

    wind speed.

    Fig. 12 Power versus rotational frequency

    Figure 12 shows the output power of the new Twisted H-Rotor starts from zero at zero rotational frequency and increases

    with the rotational frequency until maximum power is reachedthen the power drops with increasing rotational frequency. These

    curves in Fig. 13 is used to validate the MPPT controller whetherit can operate with maximum power for a given wind speed.

    Fig. 13 Torque versus rotational frequency

    Figure 13 illustrates the relationship between torque androtational frequency for the 6 wind speed values. Such arelationship represents an important characteristic of a wind

    turbine, particularly for its starting torque. The torque gives

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    guidance for the selection of a generator to be connected with thewind turbine as the system will function efficiently if one is

    suitably chosen. Also, the starting torque indicates a minimumwind speed that starts the turbine or the speed which turbine

    torque overcomes static friction of the system.

    5. WIND TURBINE WITH MPPT CONROL

    SYSTEM

    In figure 14, the wind turbine generator is connected to a

    buck converter with MPPT controller. The buck dc/dc converteris used to interface the wind turbine and the battery. The

    converter power switch consists of two power-MOSFETs: Q1and Q2. The Q1 is used as a main switch to control the load

    current in the normal operating region. The load current dependson the output power of the wind turbine. The Q2 is used as a

    switch to brake the system.

    A/D A/D

    ATMEGA16

    PWM1PWM2

    interface circuit

    L

    D

    Q1

    Q2

    C1

    Rg

    VG

    VB

    ig

    ib

    Emf

    C2

    Fig. 14 Twisted H-Rotor, buck converter and the control

    block diagram.

    The lower part of Fig. 14 is a control system implemented on an

    Atmels ATMEGA16 high-performance, a low-power AVR 8-bitmicrocontroller, and an interface circuit. The interface circuit

    comprises current filter and signal conditioner circuit connectedto voltage, current and A/D converter in the microcontroller. Theoutput of the microcontroller is PWM signals sent to the gate

    driver circuit of the power MOSFETs. Monitoring andcalculation of control variables (e.g. power slope, the update step

    of the controller, angular speed, and acceleration) are carried outby the microcontroller. The parameters of Twisted H-Rotor wind

    turbine and DC generator are shown in Tables 1 and 2 of theappendix.

    Fig. 15 The recorded data of generator current, voltage,

    rotational speed, and wind speed from the plotter.

    The record of wind speed, generator voltage, generatorcurrent and rotational speed experiment by the PLC and plotter

    are shown in Fig. 15. Note that the results in Fig. 15 started fromright hand side and progressed to the left hand side. It can be

    seen that the experiment started at the wind speed of 6 m/sec andthe speed was increased to 9 m/sec. The rotational speed of the

    generator started at approximately 5 Hz and increased to 7.2 Hz.The generator voltage was kept around 36 volts throughout the

    experiment. The load current started at 0.4 A. and increased withthe wind speed. The fluctuation of current was due to the action

    of the controller and the step increase of fan speed.The output torque and power with various wind speed are

    recorded every 0.08 second by serial communication betweenATMEGA 16 microcontroller and a computer. The controller

    update command of the outer loop every 1.04 second to make thesystem stable due to the system time constant. If the update timeis faster, it will make the system unstable. The output power and

    torque versus the rotational speed are illustrated in Fig. 15 andFig. 16 respectively. Fig. 15 also shows the optimum controlled

    power represented by plus signs and ideal power represented bybold line. The comparison of the optimum controlled torque andthe ideal torque is given in Fig. 16 with the same representation.

    In both cases, the control trajectories are close to the ideal powerand torque curve. Even with the uncertainty of power coefficient,

    air turbulence, and controller update command; it can beobserved in both figures that the MPPT controller is able to track

    the optimum power and torque.

    Fig. 16 The experimental result of real power curve and

    controller tracking performance.

    Fig. 17 The experimental result of real torque curve and

    controller tracking performance.

    6. CONCLUSIONS

    The maximum peak power tracking algorithm is proposed

    in this paper to capture the maximum power from wind by aMPPT controller. The control algorithm is based on the

    perturbation and observation method. The advantages of theproposed algorithm are:

    The controller will be able to maximize the output power of a

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    generator for any wind speeds,

    It requires only the current and voltage signals from sensors toperform the control law,

    With self tuning, step size of perturbation and peak currentcan be reduced and the system delivers better response thanthe control with fixed step of perturbation,

    The algorithm can be applied to any wind turbines without theknowledge of their operating characteristics, and

    It can be implemented in a low cost controller.7. ACKNOWLEDGMENT

    The authors would like to express deepest gratitude to Mr.Heiko Schier, Prof. Dr. rer. nat. Bernd Stephan, Prof. Dr. Ing

    Friedrich Zastrow and Prof. Dr.-Ing Kai Mller for their

    kindness, helpful suggestion and valuable guidance during theconstruction period of the prototype in Hochschule Bremerhaven,

    Germany.

    8. REFERENCES

    [1] Chihchiang Hua; Jongrong Lin; Chihming Shen; 1998 Implementation of a DSP-controlled photovoltaic systemwith peak power tracking Industrial Electronics, IEEE

    Trans. Vol. 45, Issue 1, Feb. Page(s):99 107.[2] Sullivan, C.R.; and Powers, M. J. ; 1993 A High-

    Efficiency Maximum PowerPoint Tracker for PhotovoltaicArrays in a Solar-Powered Race Vehicle Power

    Electronics Specialists Conf.,. PESC '93 Record, 24thAnnual IEEE, 20-24 June, Page(s):574 - 580

    [3] Koutroulis, E. ; Kalaitzakis, K.; Voulgaris, N.C.; Development of a Microcontroller-Based, Photovoltaic

    Maximum power Point Tracking Control System. PowerElectronics,IEEE trans. vol. 16, Jan. 2001 page (s) 46-54.

    [4] Erich Hau; 2000 Windturbines , Springer-Verlag,.[5] F. Zastrow, 2003 Tangential force on an H-Rotor-Blade,

    Sep. Hochschule Bremerhaven, Germany.[6] H. Vihrial; 2002. Control of Variable Speed Wind

    Turbines, Ph.D Thesis, Tampere University ofTechnology,

    [7] Huynh, P.; Cho, B.H.; 1996 Design and analysis of a

    Microprocessor-Controlled Peak-power-TrackingSystem, Aerospace and Electronic Systems, IEEE Trans.Vol. 32, Issue 1, Jan. Page(s):182 190.

    [8] Quincy Wang; Liuchen Chang; 2004 An IntelligentMaximum Power Extraction Algorithm for Inverter-Based

    Variable Speed Wind Turbine Systems, Power Electronics, IEEETrans. Vol. 19, Issue 5, Sept.

    Page(s):1242 - 1249.[9] Morimoto, S.; Nakayama, H.; Sanada, M.; Takeda, Y.;

    2005 Sensorless Output Maximization Control for

    Variable-Speed Wind Generatio System Using IPMSG, Ind. Appl., IEEETrans.s Vol. 41, Issue 1, Jan.-Feb.

    Page(s):60 67.

    9. APPENDIX

    Table 1. Twisted H-Rotor wind turbine specification under

    test condition.

    Twisted H-Rotor

    Rotor radius: 0.5m

    Blade height: 1m with 30 twist

    Angular position between each blade: 120

    Blade width: 0.235m

    Blades number : 3

    Blade profile: NAC 0021

    Rotor areas: 1m2

    Table 2. DC generator parameters under test condition.

    Parameterss Units MTP-

    1 Rated Speed rpm 1000

    2 Rated Voltage 5% V 233

    3 Rated Current A 3.85

    4 Rated Output Power (1) W 780.00

    5 Rated Torque Nm 7.45

    6 Max Torque Nm 47.60

    7 Max Speed rpm 1200

    8 EMF Constant 5% V/1000rpm 207

    9 Torque Constant 5% Nm/A 1.98

    10 Friction Torque Nm 0.060

    11 Damping Constant Nm/1000rpm 0.113

    12 Terminal resistance 4.760

    13 Rotor Inertia Kgm210-3 2.400

    14 Mechanical Time Constant ms 2.924

    15 Electrical Time Constant ms 0.588