-
1082 IEEE TRANSACTIONS ON ENERGY CONVERSION, VOL. 28, NO. 4,
DECEMBER 2013
New Overall Control Strategy for Small-ScaleWECS in MPPT and
Stall Regions With Mode
Transfer ControlZakariya M. Dalala, Student Member, IEEE, Zaka
Ullah Zahid, Student Member, IEEE,
and Jih-Sheng (Jason) Lai, Fellow, IEEE
AbstractThis paper presents a new overall control strategyfor
small-scale wind energy conversion systems (WECS). The pur-pose of
the proposed strategy is to utilize a maximum power pointtracking
control (MPPT) to maximize the captured energy whenthe wind speeds
are below the rated speed. For high wind speedregion; two stall
controllers are developed: The constant speed stallcontroller which
will limit the rotational speed of the generator toits rated value,
and the constant power stall controller, which willregulate the
captured power to be within the system rating. Forthe MPPT control,
a modified perturb and observe (P&O) algo-rithm is utilized,
where the dc side current is used as a perturbationvariable and the
dc-link voltage slope information is used to en-hance the tracking
speed and stability of the algorithm. For thespeed and power
regulation operation during high wind speeds,the system is
controlled in the stall region to limit the rotationalspeed and the
power of the generator. A stabilizing control loopis proposed to
compensate for the stall region instability. A newmode transfer
control strategy is developed to effectively controlthe transition
between different modes of operation while ensuringthe system
stability without using any preknowledge of the systemparameters. A
1 kW hardware prototype is developed and testedto validate the
proposed new control strategy.
Index TermsConstant power stalling, maximum power pointtracking
(MPPT), perturb and observe (P&O) algorithm, windenergy
conversion system (WECS).
I. INTRODUCTION
AMONG renewable energy sources, wind energy is thefastest
growing source so far; because of the wide avail-ability of the
wind and the technical progress associated withthe advanced and low
cost manufacturing of the wind tur-bines [1][3]. Large-scale wind
energy farms have attainedmost of the attention in the last decades
resulting in their matu-rity, while small-scale wind energy
conversion system (WECS)need further investigation and performance
optimization [4].Permanent-magnet synchronous generators (PMSGs)
are pre-ferred in small-scale WECS because of their simple
structure,higher efficiency and energy density, and ease of control
[5], [6].
Manuscript received July 3, 2013; revised October 1, 2013;
accepted October16, 2013. Date of current version November 20,
2013. Paper no. TEC-00376-2013.
The authors are with the Future Energy Electronics Center,
Virginia Polytech-nic Institute and State University, Blacksburg,
VA 24061-0111 USA (e-mail:[email protected]; [email protected];
[email protected]).
Color versions of one or more of the figures in this paper are
available onlineat http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/TEC.2013.2287212
Fig. 1. Ideal power versus wind speed trajectory.
Full power conversion schemes have been adopted for windpower
extraction and maximum power point tracking (MPPT)by utilizing
different acdc converter topologies [6][8]. A sim-ple and low-cost
alternative is to use a uncontrolled three-phaserectifier and a
chopper circuit, where the chopper circuit is con-trolled such that
the MPP is achieved and the generator speed isindirectly controlled
[9][12].
Different control theories and algorithms have been appliedto
WECS. The control objective depends on the application andoperating
conditions. Fig. 1 shows the ideal aerodynamic windpower as
function of the wind speed [13]. Below the cut-in speedVmin , the
generation is halted because there is not enough powerto drive the
generation system. In region I, between Vmin andVp , the MPPT
operation should be realized where the maximumpower captured in
that region is less than the rated system power.Between Vp and Vmax
(region II), the maximum aerodynamicpower exceeds the system
rating, and thus the controller shouldlimit the power captured by
either using aerodynamic controlleror soft control technique. Above
Vmax , which is the cut-offspeed, the wind power is very high,
demanding to shut off thewind turbine by mechanical means to
protect the mechanicalparts.
According to the published literature [5], [8], [9],
[14][25],most control strategies have been developed to realize
MPPTcontrol in region I, while few research has been carried out
toimplement the control in region II [4], [13], [26][32] and
evenfewer effort has been carried out to control the transfer
betweenthese two regions during changing wind speed conditions.
Among those reported MPPT techniques in literature, theperturb
and observe (P&O) is found to be the simplest andthe most used
one due to its reliability. In P&O techniques, anoptimum power
relation with other system variable is used totrack the MPP. The
maximization variable is perturbed and thecaptured power is
observed. Based on the power variation with
0885-8969 2013 IEEE
-
DALALA et al.: NEW OVERALL CONTROL STRATEGY FOR SMALL-SCALE WECS
IN MPPT AND STALL REGIONS 1083
the perturbation introduced, the next step size and direction
isdetermined [18], [23], [33]. P&O MPPT algorithms have
theadvantages of being simple implementation algorithms, do notneed
wind speed measurements, and there is no need to a priorknowledge
of the system parameters. The main disadvantagesof the P&O
algorithms include their slow response to rapid windspeed
fluctuations and the tracking performance depends on thestep size
of the algorithm [33].
As the MPPT is important to increase the system throughputwhile
the wind speed is in normal conditions and below the rated,it is
vital as well to realize the control objectives in the aboverated
wind speed operating conditions. In region II, the
availableaerodynamic power is excessive if the MPPT algorithm is
set toaction. So, to protect the system hardware, the power should
belimited below rated. For large turbines, aerodynamic control
isused to limit the turbine power. Blades pitch control is
usuallyimplemented to reduce the turbine power coefficient Cp ,
andhence, limit the power and speed of the turbine [1], [16],
[26],[34], [35]. Pitch control increases the system complexity
andcost and is only justified for large wind turbines
applications,while small-scale wind turbines systems are in favor
of usingsimpler and lower cost solutions. Soft stall control has
beenproposed for small-scale WECS to regulate the shaft speed
andpower in the above rated wind speed conditions [13], [20],
[27],[31], [36]. The objective of the controller is to reduce the
rotorspeed in the high wind speed conditions and stalling the
turbine,where the power and speed will be limited. Constant speed
softstalling is introduced as a control solution [20], [36], but
theproblem with this method is that even the power is limited, itis
still increasing with increasing wind speeds and the systemshould
be rated accordingly. On the other hand, soft stallingwith power
regulation can limit the speed and the power at thesame time by
driving the generator into the deep stall region[13], [26],
[27].
The intended purpose of this paper is to propose a new over-all
control strategy for small-scale WECS in a wide wind speedrange,
and to emphasize the difficulty in optimizing the controltransfer
between different operating regions without preknowl-edge of the
system parameters. This paper extends the authorswork in [12] and
[37]. In region (I), the MPPT operation isrealized by a modified
P&O control algorithm. The authors pro-posed a MPPT algorithm
in [12] and it will be adopted in thispaper. In region (II), the
power is regulated using cascaded loopdesign concept while ensuring
that the WECS is driven to workin the stall region. Two stall
controllers will be considered inthis paper: the first one is the
constant power stall in region (II),where the system is controlled
to capture the MPP up to the max-imum wind speed VP and then turns
to the constant power stallmode after that. The second controller
will consider a constantspeed region before the wind speed reaches
its maximum. Thiscontrol mode is used by certain loads to regulate
the voltage toa constant value and to relief the controller design
[31]. Due tothe nonlinear speedpower characteristics, the system
dynamicsare unstable in the stall region. In this paper, the stall
region isinvestigated and a modeling approach is presented, then a
stablecontroller design is accordingly derived. The proposed
controlstrategy also deals with the control mode transfer between
the
Fig. 2. WECS configuration.
MPPT and the stall region control. A mode transfer structure
isproposed to ensure continuous generation and effective
dynamicresponse against fast wind speed changing conditions
withoutthe need to a previous knowledge of the system
parameters.Finally, the proposed control strategy is verified
experimentallyusing a 1 kW hardware prototype.
II. WECS CONFIGURATIONThe WECS schematic is shown in Fig. 2,
where it consists of a
wind turbine coupled to a PMSG. The three-phase diode bridgeis
used to rectify the generated ac voltage. The boost converteris
used to boost the voltage across the load Ro . The load Rocan be
replaced by a unity power factor inverter that supplies astandalone
ac load or connected to the utility grid [10], [24], [38].The PMSG
model in dq domain can be found in [5], [39].
The mechanical power of the wind Pwind can be expressedas
[16]
Pwind =12R2V 3w (1)
where is the air density, R is the turbine radius, and Vw isthe
wind speed at the turbine blades. The power captured by theblades
of the turbine Pblade is
Pblade =12R2V 3w CP () (2)
where CP () is the turbine power coefficient and is a
nonlinearfunction of the tip speed ratio and the pitch angle and
canbe expressed as in (3) [40]
CP (, ) = 0.5176(
1161i 0.4 5
)21 1i
+ 0.0068
(3)1i
=1
+ 0.08 0.035
3 + 1(4)
= Rr/Vw (5)where r is the rotational speed of the wind turbine.
TypicalCP () curve is shown in Fig. 3. The available turbine
mechan-ical torque (Tm ) can be expressed as
Tm =12R2V 3w CP () /r . (6)
Fig. 4 shows the turbine rotor speed versus power for
differentwind speeds, and Fig. 5 shows the speed versus turbine
torquecharacteristics. The simulation parameters are listed in
Table I.
-
1084 IEEE TRANSACTIONS ON ENERGY CONVERSION, VOL. 28, NO. 4,
DECEMBER 2013
Fig. 3. Typical power coefficient as function of the tip speed
ratio curve.
Fig. 4. Turbine power as function of the shaft rotating speed
for different windvelocities.
Fig. 5. Turbine torque as function of the shaft rotating speed
for different windvelocities.
TABLE IPARAMETERS OF THE MACHINES, WIND TURBINE, AND POWER
ELECTRONICS
INTERFACE
Fig. 6. Experimental power as function of the shaft rotating
speed for differentwind velocities.
The wind turbine characteristics are emulated
experimentallyusing a PM motor drive that is controlled to generate
the windprofile and the experimental powerspeed characteristics
areshown in Fig. 6. The emulated turbine characteristics will
beused to drive the generator unit and to test the proposed
controlstrategy in this paper.
III. MPPT CONTROLWhile the wind speed is below the rated value,
the controller
objective is to follow the MPP trajectory which is representedby
the path ABCD in Fig. 6. In the figure, it is assumedthat the
maximum rated wind speed is 11 m/s. To implementthe MPPT control in
this paper, the authors proposed a modifiedP&O method in [12]
and it will be presented here briefly. Inthis reported method, the
dc side current (inductor current) isused as a perturbation
variable and the dc-link voltage slopeinformation is used to
determine the step size and directionof the next iteration. The
generator electromechanical torqueequation is shown as follows
[39], [41]:
Te =3
3
P
2f iL = KT iL . (7)
From Fig. 4, Fig 5 and eq. (7), it can be concluded
that,changing the electromechanical torque Te through the
inductorcurrent control, will change the rotating speed, which, in
turn,will change the absorbed power from the wind turbine
accord-ing to Fig. 4; thus, the MPP can be achieved if the
optimumvalue of the inductor current is set. Moreover, the
commandedtorque through the inductor current (7) should not exceed
themaximum available turbine torque (6) for the system to
continuegeneration. Otherwise, the generator will decelerate under
thetorque difference and stop at the end. The mechanical systemcan
be described by (8) with neglecting the friction
Tm Te = J ddt
(8)
where J is the system inertia. According to (8), the
generatorwill accelerate or decelerate depending on the torque
differenceapplied to its shaft. The machine acceleration (d/dt) can
bechanged by either changing Te or Tm as can be seen from(8). Te
can be varied by controlling the inductor current, while
-
DALALA et al.: NEW OVERALL CONTROL STRATEGY FOR SMALL-SCALE WECS
IN MPPT AND STALL REGIONS 1085
Tm depends on the wind speed and generator rotating speed,so it
is uncontrollable. The step size in the inductor
currentperturbation is small for fine tracking of the MPP, thus
(d/dt)does not change much by the current step change, while in
thecase of wind speed change, Tm changes considerably leading toa
larger change in (d/dt).
Referring to Fig. 2, the rectified dc-link voltage at the
outputof the rectifier can be expressed as in (9) [42]
Vdc =3
3
Vac-amp = KvVac-amp (9)
where Vac-amp is the ac side voltage peak which is for PMmachine
can be written as (10) [39]
Vac = E Iac (Rs + jLs) (10)where RS and LS are the stator
resistance and inductance, re-spectively. Iac is the ac side phase
current, E is the back elec-tromotive force of the machine and is
equal to f , and f isthe magnet flux linkage. From (9), (10)
Vdc . (11)The proportionality in (11) is assumed to be linear,
while the
true relation does not form a straight line, and it depends on
theoperating point. More accurate approximation can be derived asin
[43]. A discussion on the validity of (11) can be found in [27]and
[43]. From (11)
dVdcdt
ddt
. (12)As (12) suggests, the machine acceleration information
is
projected into the dc-link voltage slope change. The
voltageslope is used then to detect wind speed change. From (8)
and(12)
dVdcdt
Tm TeJ
. (13)Incorporating (6) and (7) for the mechanical and
electrome-
chanical torque equations and using (13)dVdcdt
((1/2)R2V 3w CP () /r (3
3/)(P/2)f iL
)J
.
(14)From (14), we can conclude (15) and (16)
dVdcdt
V 3w (15)dVdcdt
iL . (16)Clearly, the dc-link voltage slope shows much higher
sen-
sitivity against the wind speed change rather than against
theinductor current change. Through the dc-link voltage slope
in-formation, we can detect any possible wind speed change
duringthe operation of the conversion system. If the wind speed
fluc-tuation is small in magnitude and slow, the slope will be
smalland less than certain threshold, in that case; normal P&O
algo-rithm is applied and the step size is determined based on
themeasured power increment. In the case of large magnitude andfast
wind speed fluctuations, the dc-link voltage slope will be
Fig. 7. Flow chart of the proposed MPPT algorithm.
steep according to (15), and a large step in the inductor
current iscommanded to compensate for the changing wind speed.
Duringwind speed change condition, the step size will be a
measureof the voltage slope and the direction follows the same
slopesign, as the slope will be positive for increasing wind speed
andnegative for the decreasing one.
The flow chart for the proposed algorithm is shown in Fig. 7.The
algorithm works in two distinct modes: The normal P&Omode under
slow wind fluctuation conditions where an adaptivestep size P&O
is employed with the power increment used as ascaling variable to
determine the next step size. The other modeis the prediction mode
under fast wind speed change conditions,and this mode is
responsible of bringing the operating point tothe vicinity of the
new MPP during fast wind speed change andit will help preventing
the generator from stalling by rapidlyadjusting the generator
torque in response to sudden wind speedslow down condition. In this
mode, the dc-link voltage slopeis used as a scaling variable and is
used also to determine thenext step direction. The algorithm will
work under this mode ifthe dc-link voltage is noticed to be higher
than certain thresholdKo , which is tuned experimentally [12].
-
1086 IEEE TRANSACTIONS ON ENERGY CONVERSION, VOL. 28, NO. 4,
DECEMBER 2013
IV. STALL REGION CONTROLDue to the size and power limitations of
the WECSs, it is im-
portant for their control to protect them against high wind
speedconditions. Following a typical powerspeed characteristics
ofthe wind turbine as shown in Fig. 6, the MPPT is ensured bya
variable speed operation. The MPPT control would increasethe
rotational speed for increasing wind speeds to keep trackingof the
MPP following the path AE. However, after the systemreaches its
power rating limit at point D (Assuming the ratedpower is 1 kW),
the captured power should be limited and thiscan be done by two
ways; first: increasing the rotational speedwell above the MPP
speed following the path DH, thus con-verting the wind energy into
kinetic energy and reducing thepumped power into the converter
circuits. This would cause theproblem of over speeding the
generator and increasing the me-chanical stresses. So, it is not a
favorable solution. The secondoption to limit the power is to
decrease the speed to the lefthalf side of the curve to ensure
decreasing rotational speed forincreasing wind speeds and
maintaining constant level of powerfollowing the path DF, this
operation is called soft stalling. Bydoing so, the power and speed
limits of the generator unit willbe met.
A. Previous Soft Stall Control AlgorithmsSoft stall control has
been proposed in literature to limit the
power in the above rated wind speed region [25], [26], and
iscalled constant power stall. In this control, the MPP is
trackedtill the power exceeds the system ratings. After that, the
stallcontrol is activated to limit the power. A little over shoot
in thesystem response is expected. Other soft stall control
strategiesconsidered a constant speed region between the MPP and
theconstant power regions [12], [27]. In one hand, it is required
forsome loads and on the other hand it reliefs the controller
imple-mentation [31]. The transition between the MPP control and
thestall control in these reported methods is easy to implement
andis theoretically seamless, as the control trajectory is
predefined.For example, in [26], the optimum current command as
functionof the dc-link voltage is known for the controller, and in
[42],the optimum voltage command in the MPP and stall
regions,including the constant speed region is obtained first and
thenused by the controller. All what the controller needs to do is
totrack the optimum relation stored in the form of lockup tablesor
curves. Accurate system parameters knowledge is requiredto
implement these methods which make them sensitive to pa-rameters
variation. The MPPT technique used in these methodsalso uses the
optimum relation defined for the controller. TheP&O MPPT
algorithms were not reported to be used with thesemethods because
it is not easy to secure a safe and fast transitionbetween the MPP
and the stall regions without prior knowledgeof the system
parameters.
As far as the P&O MPPT algorithm is desired for its
simplic-ity and its independence of the system parameters, this
paperfocuses on implementing a soft stall control strategy in
conjunc-tion with the P&O algorithm in the MPP region. The
problemof control mode transfer between MPPT and stall regions
isaddressed. The system parameters knowledge is not required in
the proposed method to realize the control mode transfer whichis
a key advantage over the reported methods in literature.
B. Modeling in the Stall RegionTo control the system in the
stall region, it is important to
derive the dynamics of the system in that region to help
indesigning a robust control law. Using Taylor series analysis,the
linearized mechanical (6) and electromechanical (7) torqueequations
can be described as
Te =TeiL
iL Te (s) = KT iL (s) (17)
Tm =TmVw
Vw +Tmr
(18)
Tm (s) =CoVwo
o[3Cp(o) oCp(o)]vw (s)
+CoVwoR
2o[o Cp(o) Cp(o)](s)
= vw (s) + r (s) (19)where Co = (1/2)R3 . From (7), (17), and
(19)
Tm (s) Te (s) = Js (s) . (20)From (17)(20), the following
expression is obtained.
(s)[sJ CoVwoR
2o
[oCp (o) Cp (o)
]]
= KT iL (s) + CoVwoo
[3Cp(o) o Cp(o)]vw (s). (21)
From (21), the current to rotor speed transfer function (22)and
the wind speed to rotor speed transfer function (23)
arederived(
(s)iL (s)
)vw (s)=0
=
KTsJ (CoVwoR/2o)
[o Cp(o) Cp(o)
] = KTsJ
(22)((s)vw (s)
)iL (s)=0
=
CoVwoo
[3Cp(o) o Cp(o)
]
sJ (CoVwoR/2o)[oCp (o) Cp (o)
]
=CoVwo
o
[3Cp(o) oCp(o)
]sJ . (23)
=CoVwoR
2o
[o Cp(o) Cp(o)
]. (24)
And it is assumed that vdc = Kv [27], so (25) is derivedvdc
(s)iL (s)
= KT KvsJ (25)
-
DALALA et al.: NEW OVERALL CONTROL STRATEGY FOR SMALL-SCALE WECS
IN MPPT AND STALL REGIONS 1087
Fig. 8. as function of . = C o Vw o R2o
[oCp (o ) Cp (o )] =(CoVw oR) ().
Fig. 9. Nyquist plot of the loop gain of the closed voltage
loop. Operatingpoint at = 4.22, Vw = 15 m/s.
where o is the tip speed ratio at the operating point and Cp
(o)is the slope of the power coefficient curve at the operating
point.From (25), it can be seen that the system has a pole at s =/J
, where is positive in the left hand side of the powercoefficient
curve as can be seen in Fig. 8. The pole in the righthalf plane
makes the system dynamics unstable under currentcontrol. So, the
voltage loop should be closed to stabilize thesystem dynamics.
Fig. 9 shows the Nyquist plot for the designed loop gainof the
closed voltage loop. The designed compensator is PIwith gains (Kp =
83.6, Ki = 880). As can be seen in thefigure, the number of
encirclements of the (1 + j0) point isone in the counter clockwise
direction; and the system has onepole in the RHP, meaning a stable
system. The phase margin isdirectly measured at the plot and is
more than 72. Moreover,with the increase of the system gain, the
Nyquist plot will justexpand radially without changing the number
of encirclementsmeaning an infinite gain margin system. With
closing the voltage
Fig. 10. Frequency response of the closed power loop.
loop, the system is stabilizable and the RHP pole dynamics
arecompensated.
To regulate the power generated, the dynamic relations
as-sociated with power command are derived as well. The outputpower
can be described as
Po = iL vdc = Te = KT iL. (26)Linearizing the power as function
of both the current and the
rotational speed yields
Po = KT IL + KT o iL
Po(s) = KT IL(s) + KT oiL (s). (27)In case of regulating the
output power through the dc-link
voltage, the plant is derived as follows:
Po(s) =KTKv
ILvdc(s) + KT oiL (s)
Po(s)vdc(s)
=KTKv
IL +KT oiL (s)
vdc(s)(28)
Po(s)vdc(s)
=KTKv
IL oKv
(sJ ). (29)
The power loop has a RHP zero leading to nonminimum phasesystem.
The power loop can be stabilized with only integratorcontroller.
Fig. 10 shows the bode plot of the power loop gainwith integrator
compensator of gain Ki = 0.013.
The outer power loop has very slow dynamics compared tothe
internal voltage loop, and that is acceptable for the WECS asthe
power control is associated with mechanical state variables.The
internal current loop is much faster than the power andvoltage
loops and hence, its dynamics can be neglected whenconsidering the
slow dynamics variables and the current can beassumed equal to its
reference at all times.
V. PROPOSED CONTROL STRATEGYThe proposed overall control
strategy block diagram is shown
in Fig. 11. The plant has two inputs, the wind speed and
theelectromechanical torque represented by the dc side current.The
internal current dynamics are much faster than the rest of
-
1088 IEEE TRANSACTIONS ON ENERGY CONVERSION, VOL. 28, NO. 4,
DECEMBER 2013
Fig. 11. Proposed overall control strategy schematic
diagram.
the system dynamics, so they are neglected in the figure.
Thevoltage loop is activated only in the stall region. Two soft
stallcontrollers will be considered in this paper, the constant
powerstall and the constant speed stall:
A. Constant Power Stall ControlIn this mode, the controller will
try to follow the ideal wind
power curve shown in Fig. 1, where the constant speed
regulationis not used.
Whenever the wind speed is below rated value, the MPPTcontrol is
activated and the current reference is supplied by theMPPT block.
During this operating condition, the power loopcompensator Gcp(s)
is saturated to its maximum limit namedvmax . The limit vmax
represents the maximum rated speed thatis allowed. When vrefdc is
set to vmax , the voltage loop compen-sator is saturated at its
maximum limit named imax . When thewind speed rises above rated
value, the dc power is more thanPmax . The decision block decides
to shift to stall control andpasses the current reference coming
from the cascaded powerand voltage loops. At the instant of the
transition, the immediatecurrent reference will be the saturated
value imax (high torquevalue), which will force the system to go
into the stall regionand force the speed to be reduced. During this
operation, thecaptured power is reduced and the compensators start
to desat-urate and power regulation takes place while in the stall
regionto ensure reduced speed operation. When the wind speed
comesback below rated maximum, the decision block detects the
neg-ative difference between the commanded power Pmax and
thecaptured power Pdc and decides to break the voltage loop
andbypasses the output of the power loop compensator through
thegain blocKf , where Kf is a large gain that helps to
dischargethe compensator integrator very fast, resulting in a very
smallcurrent reference. This small or nearly zero current
referencewill release the torque from the output of the generator
and willlet it to accelerate under the effect of the turbine torque
only.While the generator speed increases, it will leave the stall
regionand go back to the stable side (MPPT region) at minimal
time.At the time the generator picks up speed, the dc-link
voltage
rises and the decision block break the transition control
loopand return to MPPT operation again.
In the proposed control strategy in this paper, the MPP
istracked by utilizing the dc-link voltage slope information
whilethe system is in the MPPT mode. However, the same conceptcan
be used when the system is coming back from the stall re-gion. Take
the case in Fig. 6 as an example. When the systemis working under
stall control at point F , and a sudden drop ofthe wind speed to 9
m/s is assumed, the operating point tends tomove to point x while
the desired one is point B. In this operat-ing condition and
according to the described strategy above, theelectromechanical
torque is released from the generator shaft al-lowing the generator
to accelerate under the effect of the turbinetorque only. Thus, it
can be assumed that
dVdcdt
(Tm )J
. (30)
From (30), the dc-link voltage slope will follow the
turbinetorque characteristics in the stall region as can be seen in
the lefthand side of the torque characteristics in Fig. 5. The
slope willincrease with increasing turbine torque, and once the
voltageslope starts to decrease, the system is judged to be out of
the stallregion. At that moment, the MPPT control mode is
activated.And to move the operating point rapidly to the new MPP
(pointB), a current step is applied. The current step is
proportional tothe measured dc-link voltage slope. Higher slope
means higherturbine torque (30), requiring higher electromechanical
torqueto match the turbine torque which can be achieved by
applyinghigher current step.
As described in the above discussion, the proposed
controlstrategy manages to operate the system with MPPT
control,while the wind speed is below rated. Once it is above
rated, thesystem will go into the stall region and the power is
regulatedto the maximum rated value. In the case when the wind
speedcomes back below rated; the MPPT control is activated with
anadaptive current step to ensure the system operates near the
newMPP.
-
DALALA et al.: NEW OVERALL CONTROL STRATEGY FOR SMALL-SCALE WECS
IN MPPT AND STALL REGIONS 1089
Fig. 12. Ideal power versus wind speed trajectory with constant
speed region.
B. Constant Speed Stall ControlThe other stall control strategy
to be considered in this paper
is the constant speed stall control, which means constant
voltageregulation at the rectifier output. Constant voltage
regulation isneeded by some loads, for example, when the boost
converteris used to charge a battery, the input voltage should not
exceedthe battery voltage to ensure converter stability. And it is
neededto protect the generator from over speeding. Constant
voltageregulation is realized by inserting a constant speed region
be-tween the MPPT and the constant power regions. The ideal
windpower curve in this case looks as in Fig. 12 [27].
In the proposed controller, the voltage loop can be used
toregulate the voltage to a constant level in region II. It is
requiredby the controller to know the power levels Pmax and PL
toactivate the proper controller in each region. Pmax comes
usuallyfrom the turbine manufacturer. However, PL where the
constantspeed region begins can be defined by prior lab testing
beforeinstallation or can be supplied from the manufacturer.
However,PL at which the upper speed limit is hit, is not constant
during thecourse of the turbine employment in the field, because of
severalreasons, such as the variable losses with aging, and
parametervariation due to environmental conditions. So, in this
paper, itis suggested to implement a completely blind controller to
themanufacturer specifications and at the same time insensitive
toparameter variation.
The speed limit of the generator corresponds to a voltage
limitat the output of the rectifier. An auxiliary algorithm is
imple-mented such that it will record the power level at every
timethe voltage hits its limit VdcL (VdcL is obtained
experimentallyby pre system testing), the recorded power is PL . PL
is up-dated only whenever the recorded value exceeds the
previousstored one, so the auxiliary algorithm will keep tracking
of thepower limit PL making the controller independent of the
turbineparameters prior knowledge and adaptive to any changes.
When the wind speed is below rated, the MPPT controlleris
activated. In this region, the generator speed increases
forincreasing wind speed and the rectified dc-link voltage will
in-crease as well. When the rectified voltage hits its limit; VdcL
,the voltage loop is activated, and voltage regulation takes
placethroughout region II. The extracted power in this region
in-creases with increasing wind speed as well, however, when
thepower reaches its maximum Pmax , the power loop is activatedto
drive the generator into the stall region and regulate the powerto
a constant level. In this region, the generator speed and
hence,
the dc voltage is decreased with increasing wind speed to
main-tain constant power level.
While the wind speed is increasing, transitioning the
controlfrom the region I to region II is done by detecting the
voltagelimit VdcL . And from region II to region III, by detecting
thepower limit Pmax . When the wind speed is decreasing on theother
hand; moving from region III back to region II is heldby detecting
when the power falls below Pmax . However, thetransition from
region II back to region I, cannot be done usingthe voltage limit
VdcL . The power limit PL is used insteadas this paper proposes.
Whenever the power falls below thepower limit PL , the MPPT control
is activated again with thesame transition controller strategy
proposed for constant powerstall controller. Previous literature in
the stall control used thepredefined relations to mitigate the
controller transitioning task.However, in this paper, the
transition is completely blind to anypredefined relation.
VI. EXPERIMENTAL RESULTS AND DISCUSSION
The schematic diagram for the designed WECS is shown inFig. 13,
and the respective hardware of the system is shown inFig. 14. The
wind turbine is emulated by using an IPM motordriven by a
commercial inverter unit. The wind speed and shaftspeed are taken
as inputs and the reference torque is generatedas control input to
the IPM motor according to (5) and (6). Thegenerator is coupled to
the motor and a three-phase diode bridgeis used to rectify the
generated ac voltage and is followed by aboost converter. The
turbine is started free of any load torqueand slowly the boost will
build the torque on the generator shafttill it catches the MPP and
after then the full control strategy isapplied. The shut-down
procedure at very high wind speeds isdone using mechanical
breakers.
Fig. 15 shows the performance of the MPPT algorithm underfast
rate step changing wind profile. When the wind speed issteady or
has slow rate of change, the normal P&O mode isactivated and
fine tracking to the actual MPP takes place. Whenthe wind speed
changes rapidly (step change in the figure), theprediction mode is
activated and a large current step is appliedto compensate for the
changing turbine torque. The predictionmode is responsible of
bringing the operating point near theMPP and to prevent the
generator from stalling under fast windspeed slow down
scenario.
Fig. 16 shows the experimental verification of the
proposedconstant power stall control strategy. In region 1, the
wind speedis 8 m/s and the MPPT control is active resulting in
maximumpower capture. In region 2, the wind speed is raised to 10
m/swhile the MPPT control is still active resulting in higher
powercapture.
The wind speed is raised to 12 m/s in region 3, the
capturedpower momentarily increases, and the stall region
controller isactivated because the captured power is more than the
maximumpreset value of 1000 W. The current limit iLmax is applied,
whichmeans large torque on the machine, forcing the generator to
slowdown and enters the stall region, after that, the power loop
startsto regulate the captured power to the preset value of 1000
Wwhile keeping the speed and hence the voltage, at low levels
as
-
1090 IEEE TRANSACTIONS ON ENERGY CONVERSION, VOL. 28, NO. 4,
DECEMBER 2013
Fig. 13. Schematic for the designed WECS with the proposed
controller strategy.
Fig. 14. Hardware of the experimental setup.
Fig. 15. MPPT control performance under variable wind speed
conditions.iL (5 A/div), vdc (20 V/div), vo (50 V/div), Pdc (375
W/div), and t (1 s/div).
can be seen in the figure. In region 4, the wind speed goes
furtherto 13 m/s, and accordingly the controller drives the
generatordeeper in the stall region. In this region, the voltage
decreasesand the current increases while the power is kept
regulated atits maximum. In region 5, the wind speed is stepped
down to10 m/s. At that region, the transition controller is
activated and
Fig. 16. Performance of the overall proposed controller strategy
under MPPTand stall region control modes. iL (10 A/div), vdc (20
V/div), vo (50 V/div),Pdc (375 W/div), and t (2 s/div).
sends a nearly zero current command (which means zero
torquecommand to the generator). The generator starts
acceleratingwith the absence of the load torque and leaves the
stall region.The decision block detects when the voltage slope
starts todecrease knowing by which that the system has left the
stallregion and entered the right half side of the torquespeed
curve.Then it activates the MPPT control in region 6 and starts
with acurrent command that is proportional to the slope of the
dc-linkvoltage to bring the operating point close to the MPP.
Comparingregion 6 with region 2, it shows that the transition
controller isable to move fast to the MPP whenever the wind speed
comesdown below rated value.
Fig. 17 shows the performance of the other stall control
strat-egy that includes the constant speed (viz. voltage)
operation.The maximum voltage limit is set to 50 V and the
maximumpower to 1000 W. In region 1, the wind speed is 9 m/s, and
theconverter is working in the MPPT region. The power and
voltageare below rated values. The wind speed rises to 10 m/s in
region2. While the converter is attempting to follow the MPP, the
volt-age limit is hit and thus the voltage loop is activated to
regulatethe voltage at its maximum. In region 3, the wind speed
goeshigher to 11 m/s. The constant voltage stall still in action,
so thevoltage remains regulated while the captured power
increases.
-
DALALA et al.: NEW OVERALL CONTROL STRATEGY FOR SMALL-SCALE WECS
IN MPPT AND STALL REGIONS 1091
Fig. 17. Performance of the overall proposed controller strategy
under MPPTand stall region control modes with constant voltage
stall employed. iL(10 A/div), vdc (10 V/div), vo (100 V/div), Pdc
(375 W/div), and t (2 s/div).
In region 4, the wind speed further increased to 13 m/s.
Whilethe controller is trying to regulate the voltage not to exceed
itslimit by increasing the current, the power limit of the system
isreached. The constant power controller is triggered and startsto
drive the generator deeper into the stall region to maintainthe
power below its limit. The speed goes down and hence thevoltage as
well. In region 5, the power captured is reduced as aresult of wind
speed slow down to 10 m/s. The power capturedis less than the
system limit Pmax but more than the power limitPL , so the
controller decides to activate the constant voltageregulation
controller again. It starts by decreasing the current(viz. torque)
considerably to let the generator accelerates till thevoltage
reaches its limit and then starts the regulation. In region6, the
wind speed goes up again and constant power controltakes place
again similar to region 4. In region 7, the wind speedstepped down
to 8 m/s. the captured power in this case goesbelow PL , and the
controller decides to go back to the MPPTcontrol. Similar
transition to that shown in Fig. 16 takes placeto get the generator
rapidly to the new MPP.
VII. CONCLUSIONIn this paper, a new overall control strategy for
small-scale
WECS has been proposed. The proposed strategy controls thesystem
under MPPT mode, while the wind speed is below therated value, and
employs soft stalling control while the windspeed is above
rated.
In the MPPT region, the conventional P&O technique is
mod-ified and adopted. In the above rated wind speed conditions,two
stall controllers have been considered and implemented:the constant
power and constant voltage stall. The proposedstrategy uses the
cascaded loop control concept to regulate thecaptured. The stall
region has been analyzed and the dynamicshas been derived. The
proposed control structure compensatesfor the instability
associated with the stall region. A controlmode transfer structure
is proposed to effectively transfer be-tween the MPPT and stall
regions. The dc-link voltage slopeinformation are utilized during
mode transfer to rapidly move
the operating point near the new MPP location when the
systemtransfers from the stall mode to the MPP mode.
A lab hardware test setup has been built to verify the
proposedstrategy, and various testing conditions have been applied.
Theexperimental results show the effectiveness of the proposed
con-troller under various operating conditions. The advantages of
theproposed strategy include the simplicity and easy
implementa-tion. The mechanical sensors are totally avoided which
helpsreducing the system cost. And the reliability is a key
advantageof the proposed controller as it is independent of the
systemparameter variation.
REFERENCES
[1] C. Zhe, J. M. Guerrero, and F. Blaabjerg, A review of the
state of theart of power electronics for wind turbines, IEEE Trans.
Power Electron.,vol. 24, no. 8, pp. 18591875, Aug. 2009.
[2] H. Li and Z. Chen, Overview of different wind generator
systems andtheir comparisons, IET Renewable Power Generation, vol.
2, pp. 123138, 2008.
[3] M. Liserre, R. Cardenas, M. Molinas, and J. Rodriguez,
Overview ofmulti-MW wind turbines and wind parks, IEEE Trans. Ind.
Electron.,vol. 58, no. 4, pp. 10811095, Apr. 2011.
[4] I. Serban and C. Marinescu, Sensorless control for small
wind turbineswith permanent magnet synchronous generator, in Proc.
2011 IEEE Int.Symp. Ind. Electron. (ISIE), 2011, pp. 14821487.
[5] M. Chinchilla, S. Arnaltes, and J. C. Burgos, Control of
permanent-magnet generators applied to variable-speed wind-energy
systems con-nected to the grid, IEEE Trans. Energy Convers., vol.
21, no. 1, pp. 130135, Mar. 2006.
[6] Y. Xibo, W. Fei, D. Boroyevich, L. Yongdong, and R. Burgos,
DC-linkvoltage control of a full power converter for wind generator
operating inweak-grid systems, IEEE Trans. Power Electron., vol.
24, no. 8, pp. 21782192, Sep. 2009.
[7] C. H. Ng, M. A. Parker, R. Li, P. J. Tavner, J. R. Bumby,
and E. Spooner,A multilevel modular converter for a large, light
weight wind turbinegenerator, IEEE Trans. Power Electron., vol. 23,
no. 3, pp. 10621074,May 2008.
[8] S. Morimoto, H. Nakayama, M. Sanada, and Y. Takeda,
Sensorless outputmaximization control for variable-speed wind
generation system usingIPMSG, IEEE Trans. Ind. Appl., vol. 41, no.
1, pp. 6067, Jan. 2005.
[9] K. Tan and S. Islam, Optimum control strategies in energy
conversionof PMSG wind turbine system without mechanical sensors,
IEEE Trans.Energy Convers., vol. 19, no. 2, pp. 392399, Jun.
2004.
[10] Y. Xia, K. H. Ahmed, and B. W. Williams, A new maximum
power pointtracking technique for permanent magnet synchronous
generator basedwind energy conversion system, IEEE Trans. Power
Electron., vol. 26,no. 12, pp. 36093620, Dec. 2011.
[11] K. Nishida, T. Ahmed, and M. Nakaoka, A cost-effective
high-efficiencypower conditioner with simple MPPT control algorithm
for wind-powergrid integration, IEEE Trans. Ind. Appl., vol. 47,
no. 2, pp. 893900,Mar./Apr. 2011.
[12] Z. M. Dalala, Z. Zahid, W. Yu, Y. Cho, and J. S. Lai,
Design and analysisof an MPPT technique for small-scale wind energy
conversion systems,IEEE Trans. Energy Convers., vol. 28, no. 3, pp.
756767, Sep. 2013.
[13] B. Neammanee, S. Sirisumranukul, and S. Chatratana, Control
perfor-mance analysis of feedforward and maximum peak power
tracking forsmall-and medium-sized fixed pitch wind turbines, in
Proc. 9th Int. Conf.Control, Autom., Robot. Vision (ICARCV 06),
2006, pp. 17.
[14] R. C. Portillo, M. M. Prats, J. I. Leon, J. A. Sanchez, J.
M. Carrasco,E. Galvan, and L. G. Franquelo, Modeling strategy for
back-to-backthree-level converters applied to high-power wind
turbines, IEEE Trans.Ind. Electron., vol. 53, no. 5, pp. 14831491,
Oct. 2006.
[15] T. Ahmed, K. Nishida, and M. Nakaoka, Advanced control of
PWM con-verter with variable-speed induction generator, IEEE Trans.
Ind. Appl.,vol. 42, no. 4, pp. 934945, Jul./Aug. 2006.
[16] E. Hau, Wind Turbines: Fundamentals, Technologies,
Application, Appli-cation, Economics. Berlin, Germany: Springer,
2005.
[17] F. Blaabjerg, C. Zhe, and S. B. Kjaer, Power electronics as
efficientinterface in dispersed power generation systems, IEEE
Trans. PowerElectron., vol. 19, no. 5, pp. 11841194, Sep. 2004.
-
1092 IEEE TRANSACTIONS ON ENERGY CONVERSION, VOL. 28, NO. 4,
DECEMBER 2013
[18] E. Koutroulis and K. Kalaitzakis, Design of a maximum power
track-ing system for wind-energy-conversion applications, IEEE
Trans. Ind.Electron., vol. 53, no. 2, pp. 486494, Apr. 2006.
[19] R. M. Hilloowala and A. M. Sharaf, A rule-based fuzzy logic
controllerfor a PWM inverter in a stand alone wind energy
conversion scheme,IEEE Trans. Ind. Appl., vol. 32, no. 1, pp. 5765,
Jan./Feb. 1996.
[20] A. Miller, E. Muljadi, and D. S. Zinger, A variable speed
wind turbinepower control, IEEE Trans. Energy Convers., vol. 12,
no. 2, pp. 181186,Jun. 1997.
[21] R. Chedid, F. Mrad, and M. Basma, Intelligent control of a
class of windenergy conversion systems, IEEE Trans. Energy
Convers., vol. 14, no. 4,pp. 15971604, Dec. 1999.
[22] A. S. Neris, N. A. Vovos, and G. B. Giannakopoulos, A
variable speedwind energy conversion scheme for connection to weak
AC systems,IEEE Trans. Energy Convers., vol. 14, no. 1, pp. 122127,
Mar. 1999.
[23] R. Datta and V. T. Ranganathan, A method of tracking the
peak powerpoints for a variable speed wind energy conversion
system, IEEE Trans.Energy Convers., vol. 18, no. 1, pp. 163168,
Mar. 2003.
[24] W. Quincy and C. Liuchen, An intelligent maximum power
extractionalgorithm for inverter-based variable speed wind turbine
systems, IEEETrans. Power Electron., vol. 19, no. 5, pp. 12421249,
Sep. 2004.
[25] F. Blaabjerg, Z. Chen, R. Teodorescu, and F. Iov, Power
electronics inwind turbine systems, in Proc. CES/IEEE 5th Int.
Power Electron. MotionControl Conf. (IPEMC 2006), 2006, pp.
111.
[26] A. Ahmed, R. Li, and J. R. Bumby, New constant electrical
power soft-stalling control for small-scale VAWTs, IEEE Trans.
Energy Convers.,vol. 25, no. 4, pp. 11521161, Dec. 2010.
[27] J. Chen and C. Gong, New overall power control strategy for
variable-speed fixed-pitch wind turbines within the whole wind
velocity range,IEEE Trans. Ind. Electron., vol. 60, no. 7, pp.
26522660, 2013.
[28] E. Muljadi, K. Pierce, and P. Migliore, Control strategy
for variable-speed, stall-regulated wind turbines, in Proc. 1998
Amer. Control Conf.,vol. 3, pp. 17101714.
[29] F. D. Bianchi, H. De Battista, and R. J. Mantz, Optimal
gain-scheduledcontrol of fixed-speed active stall wind turbines,
IET Renewable PowerGeneration, vol. 2, pp. 228238, 2008.
[30] N. Rosmin, S. Samsuri, M. Y. Hassan, and H. A. Rahman,
Power opti-mization for a small-sized stall-regulated
variable-speed wind turbine, inProc. 2012 IEEE Int. Power Eng.
Optimization Conf. (PEDCO), Melaka,Malaysia, 2012, pp. 373378.
[31] T. Ekelund, Speed control of wind turbines in the stall
region, in Proc.Third IEEE Conf. Control Appl., 1994, vol. 1, pp.
227232.
[32] M. Yundong, H. Zurong, W. Junqi, L. Rixin, and X. Yan,
Research onfixed-pitch wind turbine running in deep stall region,
in Proc. WorldNon-Grid-Connected Wind Power Energy Conf. (WNWEC
2009), 2009,pp. 16.
[33] S. M. Raza Kazmi, H. Goto, G. Hai-Jiao, and O. Ichinokura,
Review andcritical analysis of the research papers published till
date on maximumpower point tracking in wind energy conversion
system, in Proc. EnergyConver. Congr. Expo. (ECCE), 2010, pp.
40754082.
[34] E. Muljadi and C. P. Butterfield, Pitch-controlled
variable-speed windturbine generation, IEEE Trans. Ind. Appl., vol.
37, no. 1, pp. 240246,Jan./Feb. 2001.
[35] T. K. Barlas and G. A. M. V. Kuik, State of the art and
prospectivesof smart rotor control for wind turbines, J. Phys.
Conf. Ser., vol. 75,p. 012080, 2007.
[36] A. E. Haniotis, K. S. Soutis, A. G. Kladas, and J. A.
Tegopoulos, Gridconnected variable speed wind turbine modeling,
dynamic performanceand control, in Proc. IEEE PES Power Syst. Conf.
Expo., 2004, vol. 2,pp. 759764.
[37] Z. M. Dalala, Z. Zahid, and J. S. Lai, New overall control
strategy forwind energy conversion systems in MPPT and stall
regions, in Proc.Energy Conver. Congr. Expo., Sep. 2013, pp.
24122419.
[38] S. M. R. Kazmi, H. Goto, G. Hai-Jiao, and O. Ichinokura, A
novel al-gorithm for fast and efficient speed-sensorless maximum
power pointtracking in wind energy conversion systems, IEEE Trans.
Ind. Electron.,vol. 58, no. 1, pp. 2936, Jan. 2011.
[39] O. W. P. C. Krause and S. D. Sudhoff, Analysis of Electric
Machinery.New York, NY, USA: IEEE Press, 1994.
[40] H. B. Zhang, J. Fletcher, N. Greeves, S. J. Finney, and B.
W. Williams,One-power-point operation for variable speed wind/tidal
stream turbineswith synchronous generators, IET Renewable Power
Generation, vol. 5,pp. 99108, 2011.
[41] T. M. U. N. Mohan and W. P. Robbins, Power Electronic:
Converter, Ap-plication and Design. New York, NY, USA: Wiley,
1995.
[42] M. H. Rashid, Power Electronics Circuits, Devices, and
Applications.Englewood Cliffs, NJ, USA: Prentice-Hall, 1993.
[43] A. M. Knight and G. E. Peters, Simple wind energy
controller for anexpanded operating range, IEEE Trans. Energy
Convers., vol. 20, no. 2,pp. 459466, Jun. 2005.
Zakariya M. Dalala (S13) received the B.S. degreein electrical
engineering from Jordan University ofScience and Technology, Irbid,
Jordan, and the M.S.degree in electrical engineering from the
Universityof Jordan, Amman, Jordan, in 2005 and 2009,
re-spectively. He is currently working toward the Ph.D.degree in
electrical engineering at the Virginia Poly-technic Institute and
State University, Blacksburg,USA.
His current research interests include power elec-tronic
converters design for renewable energy sys-
tems, digital control, and high-performance motor drives.
Zaka Ullah Zahid (S13) received the B.S. degreein electrical and
electronics engineering from NWFPUniversity of Engineering and
Technology (UET),Peshawar, Pakistan, and the M.S. degree in
electri-cal engineering from George Washington University(GWU),
Washington, DC, USA, in 2007 and 2009, re-spectively. He is
currently working toward the Ph.D.degree in electrical engineering
at Virginia Polytech-nic Institute and State University,
Blacksburg, USA.
His current research interests include design andcontrol of
transformer isolated dcdc converter.
Jih-Sheng (Jason) Lai (S85M89SM93F07)received the M.S. and Ph.D.
degrees in electrical engi-neering from the University of
Tennessee, Knoxville,USA, in 1985 and 1989, respectively.
In 1989, he joined the Electric Power Research In-stitute (EPRI)
Power Electronics Applications Center(PEAC), where he managed
EPRI-sponsored powerelectronics research projects. In 1993, he then
join theOak Ridge National Laboratory as the Power Elec-tronics
Lead Scientist, where he initiated a high powerelectronics program
and developed several novel high
power converters including multilevel converters and
soft-switching inverters.In 1996, he joined the Virginia
Polytechnic Institute and State University, wherehe is currently
the James S. Tucker Professor in the Electrical and
ComputerEngineering Department and the Director of Future Energy
Electronics Center.He has authored or coauthored more than 300
technical papers and 2 books andreceived 22 U.S. patents. His
current research interests include high efficiencypower electronics
conversions for high power and energy applications.
Dr. Lai is the recipient of several distinctive awards,
including a Techni-cal Achievement Award in Lockheed Martin Award
Night, four prize paperawards from IEEE IAS and best paper awards
from IECON-97, IPEC-05, andPCC-07. His student teams won the first
place award from 2009 TI EnginousPrize Analog Design Competition
and 2011 Grand Prize Award from Inter-national Future Energy
Challenge. He chaired the 2000 IEEE Workshop onComputers in Power
Electronics (COMPEL 2000), 2001 IEEE/DOE FutureEnergy Challenge,
and 2005 IEEE Applied Power Electronics Conference andExposition
(APEC 2005).
/ColorImageDict > /JPEG2000ColorACSImageDict >
/JPEG2000ColorImageDict > /AntiAliasGrayImages false
/CropGrayImages true /GrayImageMinResolution 150
/GrayImageMinResolutionPolicy /OK /DownsampleGrayImages true
/GrayImageDownsampleType /Bicubic /GrayImageResolution 300
/GrayImageDepth -1 /GrayImageMinDownsampleDepth 2
/GrayImageDownsampleThreshold 1.50000 /EncodeGrayImages true
/GrayImageFilter /DCTEncode /AutoFilterGrayImages false
/GrayImageAutoFilterStrategy /JPEG /GrayACSImageDict >
/GrayImageDict > /JPEG2000GrayACSImageDict >
/JPEG2000GrayImageDict > /AntiAliasMonoImages false
/CropMonoImages true /MonoImageMinResolution 1200
/MonoImageMinResolutionPolicy /OK /DownsampleMonoImages true
/MonoImageDownsampleType /Bicubic /MonoImageResolution 600
/MonoImageDepth -1 /MonoImageDownsampleThreshold 1.50000
/EncodeMonoImages true /MonoImageFilter /CCITTFaxEncode
/MonoImageDict > /AllowPSXObjects false /CheckCompliance [ /None
] /PDFX1aCheck false /PDFX3Check false /PDFXCompliantPDFOnly false
/PDFXNoTrimBoxError true /PDFXTrimBoxToMediaBoxOffset [ 0.00000
0.00000 0.00000 0.00000 ] /PDFXSetBleedBoxToMediaBox true
/PDFXBleedBoxToTrimBoxOffset [ 0.00000 0.00000 0.00000 0.00000 ]
/PDFXOutputIntentProfile (None) /PDFXOutputConditionIdentifier ()
/PDFXOutputCondition () /PDFXRegistryName () /PDFXTrapped
/False
/Description >>> setdistillerparams>
setpagedevice