application of an adaptive neuro-fuzzy controller for
TRANSCRIPT
Application of an Adaptive Neuro-Fuzzy Controller for
Speed Control of Switched Reluctance Generator Driven
by Variable Speed Wind Turbine
S. M. Muyeen and Ahmed Al-Durra
Electrical Engineering Department
The Petroleum Institute
P.O. Box 2533, AbuDhabi, UAE
[email protected] and [email protected]
Hany M. Hasanien
Electrical Power and Machines Department
Ain Shams University
Cairo 11517, Egypt
Abstract— This paper presents the application of an adaptive
neuro-fuzzy controller (ANFC) for speed control of the switched
reluctance generator (SRG). In this study, the SRG is driven by a
variable-speed wind turbine and connected to the grid through
an asymmetric half bridge inverter, DC-link, and DC-AC
inverter system. Speed control plays an important role in
variable-speed operation of the SRG to ensure maximum power
delivery to the grid for any particular wind speed. The
effectiveness of the proposed ANFC is compared with that of the
conventional proportional-Integral (PI) controller. Detailed
modeling and control strategies of the overall system are also
presented. The validity of the proposed system is verified by the
simulation results using the real wind speed data measured at
Hokkaido Island, Japan. The dynamic simulation study is
performed using the laboratory standard power system simulator
PSCAD/EMTDC.
Keywords— Adaptive neuro-fuzzy controller, asymmetric half
bridge inverter, switched reluctance generator, variable-speed wind
turbine.
I. INTRODUCTION
HE perpetual increasing concerns to environmental issues
and depletion of fossil fuel demand the search for more
sustainable electrical sources. Wind energy has already shown
great potential to become the leader in renewable power
generation, considering its striking growth rate in the last few
years. The Global Wind Energy Council is predicting the
global wind market to grow by over 155% from the current
size reaching 240 GW of total installed capacity by 2012 [1].
The variable-speed wind turbine generator system (WTGS)
has recently become more popular than that of fixed-speed and
holds 60% market share [2]. The doubly fed induction
generator (DFIG), wound field synchronous generator
(WFSG), and permanent magnet synchronous generator
(PMSG) is currently used as variable-speed wind generators.
Besides the aforementioned classical machines used in
variable-speed operation of WTGS, the switched reluctance
generator (SRG) has some superior characteristics suitable for
wind power applications. The SRG is a doubly salient, singly-
excited generator. It has an unequal number of salient poles on
both the rotor and the stator, but only one member (usually the
stator) carries windings, and each two diametrically poles
usually form one phase. The rotor has no winding, magnets, or
cage winding and is built up from a stack of salient-pole
laminations. The SRG possesses many inherent advantages
such as simplicity, robustness, low manufacturing cost, high
speed, and high efficiency [3]-[6]. It is also possible to operate
the SRG in variable-speed mode. To date, these applications
include sourcing aerospace power systems [7], automotive
applications [8], [9], hybrid vehicles [10], and wind turbine
applications [11]-[15]. The aerospace and automotive
applications are generally characterized by high speed
operation. The wind energy application is characterized by
low speed, high torque operation. In [11], the advantage of the
SRG for wind energy application was reported well, though
the control strategy was unfocused. The one phase reluctance
generator was proposed for wind energy conversion in [12]. In
[13], the grid interfacing of wind energy conversion system
was not considered. The authors reported the extension of [13]
into [14] considering grid interfacing and buck converter
based topologies for generator side control of SRG. In a recent
work [15], sensorless control of SRG has been focused though
the overall control strategy of SRG-WTGS has not been
presented.
In this paper, detailed modeling and suitable control
strategies are developed to operate the SRG at the variable -
speed mode under randomly varying wind speed conditions.
For supplying power to the SRG, a voltage source topology is
preferred and thus adopted in this study, which gives well
defined voltages over semiconductors and SRG-phases. The
premise of a voltage source topology implies a unipolar DC-
link voltage with a relatively large DC-link capacitor as an
energy buffer. The asymmetric half bridge inverter based on
hysteresis control is considered herein for the generator side
control of the SRG. It needs to mention that speed control is
very important for variable-speed operation of the SRG. An
adaptive neuro-fuzzy controller (ANFC) is considered to
control the switching on angle of the SRG to run the generator
at the optimum speed of variable-speed wind turbine that
T
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ensures the maximum power extraction from the wind. This is
one of the salient features of this study. The effectiveness of
the proposed ANFC is then compared with that of the
conventional proportional-integral (PI) controller. The grid
interfacing is taken into consideration for the wind turbine
driven the SRG. To validate the effectiveness of the control
strategy, real wind speed data measured at Hokkaido Island,
Japan, is used in the simulation analyses. The simulation is
performed using PSCAD/EMTDC.
II. WIND TURBINE MODELING
The mathematical relation to the mechanical power
extraction from the wind can be expressed as follows [16]-
[24]:
2 30.5 ,M p WP C R V W (1)
where PM is the extracted power from the wind, is the air
density [kg/m3], R is the blade radius [m], Vw is the wind speed
[m/s], and Cp is the power coefficient which is a function of
both tip speed ratio, , and blade pitch angle, [deg]. Cp is
expressed by the following equations [23]:
2 0.17, 0.5 0.02 5.6pC e (2)
3600,
1609
m
W
R R
V
(3)
where m is the rotational speed [rad/s]. Maximum power
point characteristics of wind turbine is given in Fig. 1.
CR
R0.5Pp_opt
3
opt
r2
max
(4)
From Eq. (4), it is clear that the maximum generated power
is proportional to the cube of rotational speed [24].
III. SRG MODELING INCLUDING THE INVERTER
The switched reluctance machine is operated in the
generating mode by positioning phase current pulses during
periods where the rotor is positioned such that the phase
inductance is decreasing. This occurs immediately after the
rotor and stator poles have passed alignment. Normally, in this
generator mode, the machine obtains its excitation from the
same voltage bus that it generates power to. The excitation
energy plus additional generated energy is returned to the dc
bus. The control key is to position the phase current pulses
precisely timed [25]. Fig. 2 illustrates a three phase SRG
inverter system with two controllable power semiconductor
switches and two diodes per phase, and this circuit is called an
asymmetric half bridge inverter for a 3-ph SRG.
The model of the SRG for dynamic analysis is composed of
set of phase circuit and mechanical differential equations. In
integrating these equations, the problem centers on handling
the data (flux-linkage/angle/current) used to describe the
magnetic nature of the SRG [26]. In this study, the
magnetization curves of the SRG are derived from the
measured data. The magnetization characteristics are extended
using the cubic spline interpolation algorithm to cover the
interval of rotor angles between the unaligned and the aligned
positions as shown in Fig. 3. The co-energy curves are
calculated from the following equation by applying the
trapezoidal rule in numerical integration [26]:
i
0
constθdii,Ψi),(W (5)
The static torque curves of the SRG are computed by
numerical differentiation of the co-energy using the following
equation:
constiθ
iθ,Wiθ,T
(6)
The previous characteristics data are carried out using
MATLAB toolboxes [27]. These characteristics are stored in
the form of look-up tables and used in the laboratory standard
power system simulator PSCAD/EMTDC.
The generator under study is a three phase, 6/4 SRG, and
the rated power is 48 kw at 3000 rpm. The phase resistance is
0.05 Ω, the machine inertia is 0.05 kg.m2, the supply voltage is
240V and all the parameters are illustrated in Appendix.
Fig. 2. Asymmetric half bridge inverter for a three-phase SRG.
0 50 100 150 200 250 300 350 400 4500
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
Current (A)
Flu
x l
ink
ag
e (
Wb
)
aligned position theta=0 deg
theta=5 deg theta=10 degtheta=15 deg
theta=20 deg
theta=25 deg
theta=35 deg
theta=40 deg
unaligned position theta=45 deg
Fig. 3. Phase flux-linkage as a function of current and rotor position.
Fig. 1. Wind turbine characteristics for variable-speed operation
0.4 0.6 0.8 1.0 1.20.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
Tur
bine
Inp
ut P
ower
[pu]
Rotor Speed[pu]
13m/s
12m/s
11m/s
10m/s
9m/s8m/s
7m/s6m/s
Locus of maximum
captured power
IV. CONTROL TECHNIQUES OF THE SRG INVERTER
The control block diagram for the asymmetric half
bridge inverter to generate gate pulse signals is shown in Fig.
4. The reference signal is determined from the maximum
power point tracking (MPPT) algorithm as explained in Sect.
II. The conduction signals are generated according to the logic
explained as follows:
The applied voltage (V) is positive during the
conduction period, which is the difference between
the switching off angle θoff and the switching on
angle θon.
V is negative from θoff until the extinction angle θext
which represents the angle corresponding to zero
phase current.
Otherwise, V equals zero.
The SRG rotor angular position, r, is shifted by 30 degree in
each phase for the 6/4 SRG. The hysteresis controller works
well to generate the optimal firing angle for the inverter in
order to maximize the output power of the generator according
to the reference signal. In this study, the control technique is
done using the ANFC in compared with that of the
conventional PI controller to verify the effectiveness of the
proposed ANFC.
a) PI Controller
The optimum speed is maintained by controlling the
switching on angle, on, as shown in Fig. 5, where r_opt is the
optimum rotational speed determined from MPPT. r_opt is
compared with the generator speed ωr to yield the speed error
e(t). This error signal is the input of the PI controller. The
output of the controller is a signal representing the incremental
change in the switching on angle Δθon(t).
The equation of the PI controller can be written as follows:
dtteKteKt ipon ).()(.)( (7)
where Kp is the proportional gain, and Ki is the integral gain.
The output signal of the PI controller Δθon(t) after being
rescaled is used to modulate the generator phase switching on
angle. The advanced switching-on angle θon new can be written
as follows:
)(.)( tkt ononinitialonnew (8)
where θon initial is the initial switching on angle (5°), and k is a
constant.
b) ANFC
In this study, the proposed neuro-fuzzy controller presents a
fuzzy logic controller with self tuning scaling factors based on
artificial neural network structure, as shown in Fig. 6 [28].
Firstly, the fuzzy logic control rules are described then the
neural networks (NN) architecture is introduced to self tune
the output scaling factor of the controller. The actual generator
speed ω(t) is compared with the reference speed ωref to yield
the speed error e(t). The incremental change of speed error
∆e(t) can be expressed as follows:
)1()()( tetete (9) The proposed controller has two input scaling factors of gains
Ge and G∆e and also one output scaling factor of gain G∆u. The
output signal of the input scaling factors can be written as
follows:
eN Gtete ).()( (10)
eN Gtete ).()( (11)
The output signals of the input scaling factors eN and ∆eN are
considered to be the inputs of the fuzzy logic controller (FLC).
The output signal of FLC ∆uN is the input of the output scaling
factor. The NN structure has two inputs e(t) and ∆e(t). The
output signal α of NN is used to fine tune the output scaling
factor. The only output signal of ANFC, u(t), can be written as
follows:
uN Gtutu .).()( (12)
For the FLC, the membership functions are defined off-line,
and the values of the variables are selected according to the
behavior of the variables observed during simulations. The
selected fuzzy sets for the FLC are shown in Fig. 7. The
control rules of the FLC are represented by a set of chosen
fuzzy rules. The designed fuzzy rules used in this study are
given in Table I. The fuzzy sets have been defined as: NB,
negative big, NS, negative small, Z, zero, PS, positive small,
and PB, positive big, respectively. In this study, Mamdani’s
max-min (or sum-product) method is used for the inference
mechanism [29]. The center of gravity method is used for
defuzzification to obtain un. [29].
Fig. 6. Block diagram of ANFC.
Fig. 4. Control block diagram for the SRG inverter
Gate Pulses
Conduction
Signals
r
VphIph
Popt
on
off
Pref
Fig. 5. Switching on angle control block diagram
PI Controller
r_opt
Δon r
Fig. 7. Fuzzy sets and their corresponding
membership functions
TABLE I
FUZZY RULE TABLE
un en
NB NS ZO PS PB e n
NB PB PB PS PS ZO
NS PB PS PS ZO NS
ZO PS PS ZO NS NS
PS PS ZO NS NS NB
PB ZO NS NS NB NB
On the other hand, for the NN structure, a three layer
feedforward neural structure with 2 × 3 × 1 (2 inputs, 3
hidden, and 1 output neuron) is used in this study, as shown in
Fig. 8. The input nodes were selected as equal to the number
of input signals and the output nodes as equal to the number of
output signals. The number of hidden layer neurons is
generally taken as the mean of the input and output nodes. The
selection of number of hidden layers, and the number of
neurons in each hidden layer was performed by trial and error
method which is the most commonly used method in the NN
architecture design. In this NN structure, three hidden neurons
were selected. The inputs consist of the speed error e(t), and
the change in speed error ∆e(t). These inputs are chosen based
on the system stability. The NN structure is based on the
Widrow-Hoff adaptation algorithm. The Widrow-Hoff delta
rule is used to adapt the adaline’s weight vector [30].
The output of the NN is the signal α which has certain
value between -1 and +1.
The activation function of the nodes in the hidden layer is:
x
x
e
exf
1
1)( (13)
The activation function of the output layer neuron is chosen to
be as follows:
xe
xh
1
1)( (14)
The output signal of ANFC u(t) is used to modulate the motor
phase switching on angle. The advanced switching-on angle
θon new can be written as follows:
uoninitialonnew (15)
In addition, the NN structure can be established to fine tune
the input scaling factors but the controller will be very
complex and also its effect on transient stability is low.
Therefore, in this study, one NN structure is used to fine tune
the output scaling factor.
Fig. 8. Block diagram of the NN structure.
V. CONTROL OF THE GRID SIDE INVERTER
The control block diagram for the grid side inverter is
shown in Fig. 9. It is based on the cascaded control scheme.
The dq quantities and three-phase electrical quantities are
related to each other by the reference frame transformation.
The angle of the transformation is detected from the three
phase voltages (va,vb,vc) at the high voltage side of the grid
side transformer.
The dc-link voltage can be controlled by the d-axis current. On
the other hand, the reactive power of the grid side inverter can
be controlled by the q-axis current. The reactive power
reference is set in such a way that the terminal voltage at high
voltage side of the transformer remains constant. The
triangular signal is used as the carrier wave of the pulse width
modulation (PWM) operation. The carrier frequency is chosen
1000 Hz.
VI. MODEL SYSTEM
The model system used for the dynamic analysis of VSWT-
SRG is shown in Fig. 10. Here one SRG is connected to an
infinite bus through the asymmetric half bridge inverter, DC-
link capacitor, grid side inverter, transformer, and double
circuit transmission line. The system base is 48 kVA.
VII. SIMULATION RESULTS
Simulation has been done by PSCAD/EMTDC [31]. The
dynamic characteristic of VSWT-SRG is analyzed under wide
range of wind speed variation which is a real data measured in
Hokkaido Island of Japan, as shown in Fig. 11. One of the
control objectives is to maximize the wind power capture by
adjusting the rotor speed of the wind turbine according to the
wind speed variation, provided that the captured power should
Fig. 10. Model System
bus
V=1 50Hz, 48kVA Base
P=1.0
V=1.0
0.1+j0.6
0.1+j0.6
j0.1
SRG
CB 0.13/6.6kV
~ -
CB
DC
abc
dq PWM
Igrid a,b,c
PLL θt
Id
Iq
PI-5
PI-2
Vd*
Vq*
Inverter
Switching
Signals
PI-4
+
- +
-
Vdc
PI-1 Vdc
*
+
Vgrid a,b,c
abc
dq
-
V*a,b,c
I*d
G1
1+T1s
1+T2s
+
-
V*grid
Vgrid
Q*grid
Qgrid
+
-
G2
1+T3s
1+T4s
I*q
PI-3
Fig. 9. Control block diagram for the grid side inverter
not exceed the rated power of the SRG. Fig. 12 shows the
rotor speed of the SRG and the optimum rotor speed
calculated from MPPT when the PI controller of gains kp = 0.2
and ki =0.01 is used.
Figure 13 shows the rotor speed of the SRG and the optimum
rotor speed when ANFC is used. By inspection of the last two
figures, it can be noted that the dynamic response of the SRG
when ANFC is used, is better than that when the conventional
PI controller is used. ANFC ensures excellent speed reference
tracking. The responses of real and reactive power at the grid
side inverter when using ANFC are shown together in Fig. 14.
The terminal voltage at the grid side is maintained constant as
shown in Fig. 15. The excitation switching on angle response
is shown in Fig. 16. The response of DC-link voltage is shown
in Fig. 17. From the simulation responses, it is seen that the
proposed control system is well suitable for wind power
application.
Fig. 11. Wind Speed
Fig. 12. Rotor Speed using the PI controller
Fig. 13. Rotor speed of the SRG using ANFC
Fig. 14. Real and reactive power of the grid-side inverter
Fig. 15. Terminal voltage of the grid
Fig. 16. Excitation switching on angle
Fig. 17. DC-link voltage
VIII. CONCLUSIONS
Application of the SRG has been presented in this paper for
the variable-speed operation of the wind power generation
system. The detailed modeling and control strategies of
VSWT-SRG including the generator side asymmetric half
bridge inverter and the grid side inverter have been presented.
The proposed control strategy can ensure maximum power
delivery to the grid and also supply the necessary reactive
power to maintain the terminal voltage of the grid constant. To
control the switching on angle of the SRG, an ANFC is
adopted which gives excellent dynamic performance in
compared with the conventional PI controller. This feature is a
new incorporation in the field of variable-speed wind power
generation system where the rotor speed of the SRG is needed
to control to extract maximum power from the wind. Finally,
it has been concluded that the proposed control system is well
suitable with variable-speed wind turbine driving the SRG.
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APPENDIX
The SRG specifications are illustrated in Table II.
TABLE II
The phase winding resistance 0.05 Ω
The DC supply voltage 240 V
The maximum phase current 200 A
The rated torque 152.79 N.m
The rated speed 3000 rpm
The rated power 48 KW
No. of motor phases 3
The rotor moment of inertia 0.05 Kg.m2
The friction coefficient 0.02 N.m.s