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International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 –
6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME
305
A NEW CONTROL METHODS FOR OFFSHORE GRID CONNECTED
WIND ENERGY CONVERSION SYSTEM USING
DOUBLY FED-INDUCTION GENERATOR AND Z-SOURCE
INVERTER
1
B.Sivaprasad, 2
O.Felix,3
K.Suresh, 4
G.Pradeep Kumar reddy, 5
E.Mahesh
1,2
Assistant Professor,EEE DEPT,NBKRIST,Vidyanagar,India
3,4,5
M.TechScholor, Department Of Electrical Engineering, N.B.K.R.I.S.T, Vidyanagar,
INDIA.
ABSTRACT
This paper presents a systematic approach based on. New controlling methods. And
various technologies are developed for wind energy conversion system. Induction generators
are used by these technologies due to special characteristics of induction generators. Such as
low weight and volume, high performance, high speed-torque control. In this paper, a new
variable-speed WECS with an induction generator and Z-source inverter is proposed.
Characteristics of Z-source inverter are used for maximum power tracking control and
delivering power to the grid, simultaneously. Two control methods are proposed for
delivering power to the grid. Capacitor voltage control and dc-link voltage control operation
of system with these methods is compared from. View point of power quality and total
switching device power (TSDP).In addition, TSDP, current ripple of inductor performance
and total harmonic distortion of grid current of proposed system is compared with traditional
wind energy system with a boost converter.
IndexTerms-Doubly-Fed Induction generator (DFIG), capacitor voltage control, dc-link
voltage control, total switching device power (TSDP), wind energy conversion system
(WECS), Z-source inverter.
INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING
& TECHNOLOGY (IJEET)
ISSN 0976 – 6545(Print)
ISSN 0976 – 6553(Online)
Volume 4, Issue 2, March – April (2013), pp. 305-323
© IAEME: www.iaeme.com/ijeet.asp
Journal Impact Factor (2013): 5.5028 (Calculated by GISI)
www.jifactor.com
IJEET
© I A E M E
International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 –
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I. INTRODUCTION
Wind energy is a sustainable resource due to the absence of total ecosystem pollution
and environment. Wind turbines usage as source of energy has increased significantly in the
world. With growing application of wind energy conversion system (WECS), various
technologies are developed for them the most common type of megawatt class wind energy
conversion system employs induction generators because they are relatively inexpensive,
rigid and require low maintenance. [1]-[5] However, the impact of ever-changing wind speed
on power quality coupled with the need for an excitation current make the voltage regulation
difficult, especially when IG is connected to a weak ac system. Extracting maximum power
from wind and feeding the grid with high quality electricity are two main objectives for
WECS, to realize these objectives; the ac-dc-ac converter is one of the best topology for
WECS.Fig-1 shows a conventional configuration of ac-dc-ac topology for IG.
Fig.1. Conventional PMSG-based WECS with dc boost chopper.
This configuration includes diode rectifier, boost dc-dc converter and three phase
inverter, in this topology, boost converter is controlled for maximum power point tracking
(MPPT) and inverter is controlled to deliver high quality power to the grid. The Z-source
inverters have been reported recently as a competitive, alternative to existing inverter
topologies with many inherent advantages such as voltage boost this inverter facilities voltage
boost capability with the turning ON OF both switches in the same inverter phase lag (shoot
through state). In this paper, a new IG-based WECS with Z-source inverter is proposed the
proposed topology is shown in Fig-2 with this topology boost converters omitted without any
change in the objectives of WECS.
Fig. 2. Proposed PMSG-based WECS with Z-source inverter.
International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 –
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Moreover, reliability of the system is greatly improved, because the short circuit across any
phase lag of inverter is allowed. Also, in this configuration, inverter output power distortion is
reduced, since there is no need to phase lag dead time.[6] Section-2 of this paper introduces
Z-source inverter and describes operation of rectifier feeding the Z-source inverter then
power delivery and MPPT control of system are explained. Finally, simulation results are
presented to verify the performance of the proposed system.
II. Z-SOURCE INVERTER
The Z-source inverter is shown in Fig-3.
Fig. 3. Voltage-type Z-source inverter
This inverter has an impedance network on its dc side, which connects the source to
the inverter. The impedance network is composed of two inductors and capacitors. The
conventional voltage source inverter has six active vectors and zero vectors. However, the Z-
source inverter has one extra zero vector(state) for boosting voltage that is called shoot
through vector.[14] In this state, load terminals are shorted through both the upper and lower
devices of phase lag, any two phase lags, or all three phase lags.
The voltage of DC-link can be expressed as
Where Vdc is the source voltage and B is the boost factor that is determined by
Where to be the shoot- through time interval over a switching cycle. The output peak phase
voltage Vac is
Where M is the Modulation index. The capacitor voltage can expressed as.
International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 –
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Where
Relation between Vi and Vc can be written as.
And current ripple of inductors can be calculated by.
Fig.4 explains the simple PWM control method for Z-source inverter. This method employs
two extra straight lines as shoot through signals, Vsc and –Vsc. [8] When the career signal is
greater than Vsc or it is smaller than –Vsc, a shoot-through vector is created by inverter .The
value of Vsc is calculated by.
Fig. 4. PWM control method for Z-source inverter
.
In the proposed WECS, a diode rectifier bridge with input capacitors (Ca,Cb,Cc) serves as
the DC source feeding the Z-source inverter. The configuration is shown in Fig-5 the input
capacitors suppress voltage surge that may occur due to the line inductance during diode
commutation and shoot through mode of the inverter.
Fig. 5. Z-source inverter fed with a diode rectifier bridge.
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At any instant of time, only two phases that have the largest potential difference may
conduct, carrying current from the IG side to the impedance. Fig-6 shows six possible states
during each cycle.
Fig. 6. Six possible conduction intervals for the rectifier.
In any state ,one of upper diodes, one of lower diodes and the corresponding capacitor are
active.[7] For example, when the potential difference between phases “a” and “b” is the
largest, diodes Dpa and Dnb conduct in series with capacitor Ca as shown in Fig-7.
Fig. 7. Equivalent circuit when the potential difference between phases “a”
And “b” is the largest
In each conduction interval, inverter operates in two modes. [13] In mode1, the inverter is
operating in the shoot-through state. In this mode, the diodes (Dpa and Dnb) are off, and the dc
link is separated from the ac line. Fig-8 shows the equivalent circuit in this mode.
Fig. 8. Equivalent circuit of the Z-source inverter in mode 1.
In mode 2, the inverter is applying one of six active vectors or two zero vectors, thus acting as
a current source viewed from the Z-source with diodes (Dpa and Dnb) being on Figh-9 shows
the equivalent circuit in this mode. [9] The load current I1 is zero during zero vectors.
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Fig. 9. Equivalent circuit of the Z-source inverter in mode 2
III.CONTROL SYSTEM
The structure of the control system is shown in Fig-10 the control system is proposed
of two parts: 1. control of power delivered to the grid and 2. MPPT.
Fig. 10. Block diagram of proposed WECS control system.
A. Control of power delivered to the grid:
The power equations in the synchronous reference frame are given by.
Where P and Q are the active and reactive power, respectively, V is grid voltage, and I is
the current to the grid.[17] The subscripts D and ‘q’ stands for direct and quadrature
components, respectively. If the reference frame is oriented along the grid voltage, Vq will be
equal to zero. Then, active and reactive power may be expressed as
International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 –
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According to earlier active and reactive power control can be achieved by controlling direct
and quadrature current components, respectively. [10] Two control paths are used to control
these currents. In the first path, with given reactive power, the q-axis current reference is set
to obtain unit power factor, the q-axis current, reference should be set to 0.In the second path
an outer capacitor voltage control loop is used to set the d-axis current reference for the active
power control. This assures that all the power coming from the rectifier is transferred to the
grid. For this control, two methods are proposed; 1. Capacitor voltage (VC) control and 2. Dc-
link voltage (Vi) control.
In the first control method (control mode 1 in Fig-0), capacitor voltage is kept constant at
reference value .In the control loop, when shoot through time changes, Vdc and Vi will
change.[16] However, in other method (control mode2 in Fi -10) , a reference value is set for
dc-link voltage(Vi). In this method, with changing shoot through time, Vdc and VC will
change. The input voltage of inverter is zero in shoot through state, which makes Vi a difficult
variable to control consequently is used to control Vi in directly by controlling VC . In section
iv, operation of system using these methods will be compared
B.Maximum Power Point Tracking:
The mechanical power delivered by a wind turbine is expressed as
Where ρ is the air density, A is the area swept out by the turbine blades, Vw is the wind
velocity, and Cp is the power coefficient defined as the ratio of turbine power to wind power
and depends on the aerodynamic characteristic of blades. Fig (11) represents the relation
between generator speed and output power according to the wind speed change.
Fig. 11. Mechanical power versus rotor speed with the wind speed as a
Parameter.
It is observed that the maximum power output occurs at different generator speed for
different wind velocities. The steady-state induced voltage and torque equations of IG are
given by.
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Where W is rotor speed and Ia is stator current. Also we have
Where Vis terminal voltage of IG and Ls is its inductance the rectified dc-link voltage may be
obtained using.
From 15to 17, the rectified dc voltage may be written as
The torque is determined by the generator speed and the wind speed, therefore according
to 18, it is possible to obtain a prediction for the dc voltage as a function of the generator
speed and the wind speed. As result, the generator speed can regulate by setting the dc
voltage. Fig -12 shows the rectified dc voltage versus rotor speed for maximum wind power
operating point using rotor speed feed back and Fig-12 , the optimum rectified dc voltage is
specified.
Fig. 12. DC voltage versus optimum rotor speed characteristic.
Using new optimum dc voltage, IG rotor speed will change and a new dc voltage. Command
is specified from Fig-12 with this control strategy, IG rotor speed dc voltage is continuously
changed until an equilibrium point is reached in Fig-12[15] .one can see from Fig -12 that the
voltage –speed relationship is not a straight line. In order to implement a simple a control
strategy as possible, it is desirable to implement a straight line. Voltage-speed relationship. In
this paper quadratic approximation of the voltage speed relationship is used. After
determining optimum dc voltage from voltage seed curve, shoot through signal Vsc PWM
control is calculated bx.
International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 –
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TABLE I. PARAMETERS OF DFIG
PARAMETER VALUE
RS 0.8785
Lq 5.8mH
Ld 5.6mH
P 8
J 9.329Kg.cm2
IV. SIMULATION
To verify the performance of the proposed MECS, several simulation tests are
performed. The simulated system parameters are listed in Tables I and II. Fig- 12 s plotted
using mathematical model of the turbine and IG. The optimum curve can also be obtained by
some tests in various wind speed. Solid curve in Fig-13 is dc voltage versus optimum rotor
speed.
Fig. 13. DC voltage and optimum rotor speed relation: simulated and approximated and
calculated (actual).
This curve is plotted with simulation of WECS for various wind speed and rotor speed
.Dotted curve is a quadratic approximation of the bold curve . In next dotted curve is used for
maximum power control. The maximum and minimum rotor speeds are considered as 1.3 and
0.6pu respectively.
Simulation of Proposed System:
In order to evaluate the dynamic performance of the proposed WECS, it is simulated for 4s
.The wind speed is shown in Fig-14
.
Fig. 14. Wind speed variation.
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Two simulations were performed using two different methods for active power control as
mentioned in section II.
TABLE II. SIMULATION PARAMETERS
PARAMETER VALUE
VG 84V
Li 10Mh
L1,L2 4Mh
C1,C2 10KHz
1) Capacitor voltage control method: In this section, the proposed system is simulated
using capacitor voltage control of Z-source inverter .Reference voltage for capacitor was set
to 140 V Fig-15shows IG rotor speed.
Fig. 15. PMSG rotor speed (capacitor voltage control)
To obtain maximum power control, the rotor speed has changed with changing wind speed
Fig-16 shows maximum mechanical power of turbine and extracted mechanical power from
turbine .
Fig. 16. Maximum mechanical power of turbine and the extracted mechanical power from
turbine (capacitor voltage control).
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It is that extracted mechanical power is tracking the maximum mechanical power after a
short time Fig-17 shows capacitor voltage.
Fig. 17. Capacitor voltage (capacitor voltage control).
Which is almost constant reactive power that is kept at zero (unity power factor) is also
shown in Fig-18 Fig 19 shows active power delivered to the grid and the extracted
mechanical power .
Fig. 18. Active power delivered to the grid and extracted mechanical power
(Capacitor voltage control).
The electrical power delivered to the grid is different from the extracted mechanical power
due to electrical and mechanical losses. Inductor current is shown in Fig-20.
Fig. 19. Inductor current of Z-source inverter (capacitor voltage control).
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It is seen that the inductor current is variable, however current is almost constant.
Fig. 20. Input voltage of Inverter (Vi ) (capacitor voltage control).
In Fig-21 the input voltage of inverter (Vi) is shown .For MPPT control ,Vi has changed with
variations of wind speed , while capacitor voltage is constant (Fig-17) that was expected from
capacitor voltage control method.
2) DC link voltage control method: the previous simulation was repeated using dc link
voltage control .Reference voltage for dc link of Z-source inverter was set to 165 V .Fig-22-
24shows rotor speed maximum mechanical power of turbine / the extracted mechanical
power, and active power delivered to the grid.
Fig. 21. PMSG rotor speed (dc-link voltage control).
Fig. 22. The maximum mechanical power of turbine and the extracted mechanical power
from turbine (dc-link voltage control).
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Fig. 23. Active power delivered to the grid and extracted mechanical power
(Dc-link voltage control).
.
In dc-link voltage control method, for MPPT control, capacitor voltage must change while
v1 is constant as shown in fig 25 and 26.
Fig. 24. Capacitor voltage (dc-link voltage control).
Fig. 25. Input voltage of Inverter (Vi ) (dc-link voltage control).
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The capacitor has slow dynamics on the other hand, there is a right half plane (RHP) zero in
the transmitter function of VC, which causes undershoot in capacitor voltage. However, it is
not a concern for MPPT control because dynamics of wind and turbine are slow too. We can
see small undershoots in root speed(fig 22)that are not shown in (fig 15).These undershoots
have no considerable effect on MPPT as the extracted mechanical power in figs16 and
23.But variation of capacitor voltage has more effect on power deliver as shown in fig
24,electrical power has more fluctuations than shown in fig 19.
A. Operation Of Constant Wind Speed: In order to evaluate the performance of the
proposed system, another simulation is performed using constant wind speed (10m/s) and
with capacitor voltage control. Fig 27 illustrates dc-link voltage across rectifier that is
changing from 95to 280v.with respect to fig8.
Fig. 26. DC-link voltage across the rectifier.
Fig. 27. DC-link voltage across the Z-source inverter
when a shoot through vector is applied to Z-source inverter ,dc link voltage of rectifier
will be twice as much as the capacitor voltage(280v)with reference to fig 13.When win d
speed is 10m/s,dc-link voltage across rectifier must be 95v for MPPT.DC-link voltage across
Z-source inverter is shown in fig 28,which is zero in shoot –through time intervals and 185v
in other times according to figs 29 and 30 illustrate the inductor current with respect to
current ripple must be 0.85A.This is shown in fig 30.
International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 –
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Fig. 28. Inductor current of Z-source inverter (zoomed).
However there is a low-frequency larger ripple, Because Z-Source inverter is fed by an
uncontrolled rectifier. Fig 31 and 32 shows grid-current and its spectra. THD of injected
current is 2.95%.
Fig. 29. Grid current in proposed WECS.
Fig. 30. Spectra of grid current in proposed WECS.
B. Comparison with conventional system:
In this section, the proposed WECS is compared with conventional WECS using
boost converter replacing the Z-source network, as shown in fig (1). PWM switching method
is implemented to keep DC bus voltage constant that switching pulse is generated by a new
control box using Vc and Vdc. Inductance and capacitance of boost converter is selected
twice as much as of the proposed system that is 4mH and 4400µF. TO correct comparison,
traditional WECS was simulated in condition similar to previous simulation.
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Fig.31. Inductor current of boost converter.
3) Inductor Current Ripple: As shown in fig-33, the inductor current ripple is 0.38A as
expected from theory the current ripple for the proposed WECS, as shown in fig 30, is twice
as much that is 0.85A. As shown in fig 34.There is a low-frequency ripple caused by
uncontrolled rectifier. The same ripple is shown in fig 29. For the proposed WECS.
4) Grid current THD: In a conventional inverter, added time is included in the switching of
semiconductors to accidental short circuit in an inverter lag. Two simulations are performed
with 0 and 5µs dead time using conventional WECS with boost converter> fig 35 and 36
insulate the grid current and its spectra for zero dead time simulation.
Fig.32. Spectra of grid current in traditional WECS without dead time.
THD is 3.1% that nearly equals THD of current in proposed WECS. Figs 37 and 38 show the
grid current and its spectra for 5µs dead time simulation. THD has increased to 4.96%.
5) Efficiency: In order to compare efficiency, both proposed and conventional WECS was
simulated with various wind speeds. The active electrical power delivered to grid versus wind
speeds is shown in fig 39.
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Fig.33. Active power delivered to the grid in conventional and proposed
WECS
In each simulation efficiency is calculated by dividing the active electrical power by the
maximum mechanical power (according to fig 11) fig 40 illustrates the efficiency of both
systems in various wind speeds.
Fig..34 Efficiency of conven34tional and proposed WECSs.
According to fig 40, efficiency of conventional WECS is smaller than that of the proposed
WECS, approximately 4% the reason is the extra and diode in conventional WECS with
boost converter.
6) Total switching device power: The total switching device power (TSDP) is calculated
as
Where N is the number of semiconductor devices, Vsj and Isj are voltage stress and current
stress of device, respectively, Cj is cost factor, and Cj is defined as 1 for semiconductor
switch and 0.5 for diode.
Table 3 shows TSDP of WECS system with boost converter, proposed WECS with
voltage control of capacitor , and proposed WECS with voltage control of DC link. It is seen
that TSDP of proposed WECS with capacitor voltage control is bigger than conventional
WECS. However, with dc link, voltage capacitor, TSDP is increased only 6%.
International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 –
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V CONCLUSION
In this paper, an IG –based WECS with Z-source inverter is proposed, Z-source
inverter is used for maximum power tracking control and delivering power to the grid.
Simultaneously compared to conventional WECS with boost converter, the number of
switching semiconductors is reduced by one and reliability of system is improved, because
there is no requirement for dead time in a Z-source inverter. For active power control, two
control methods: capacitor voltage control and dc-link voltage control is proposed and
compared. It is shown that with dc-link voltage control method, TSDP is increased only 6%
compared to conventional system, but there is more power fluctuations compared to capacitor
voltage control. With capacitor voltage control TSDP is increased 19% compared to
conventional system. It was also shown that due to eliminating of dead time, the THD of
proposed system is reduced by 60% compared to conventional system by 3ms dead time.
Finally, with same value to passive components, inductor current ripple is the same for both
systems.
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A new control methods for offshore grid connected wind energy conversion system using

  • 1. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 305 A NEW CONTROL METHODS FOR OFFSHORE GRID CONNECTED WIND ENERGY CONVERSION SYSTEM USING DOUBLY FED-INDUCTION GENERATOR AND Z-SOURCE INVERTER 1 B.Sivaprasad, 2 O.Felix,3 K.Suresh, 4 G.Pradeep Kumar reddy, 5 E.Mahesh 1,2 Assistant Professor,EEE DEPT,NBKRIST,Vidyanagar,India 3,4,5 M.TechScholor, Department Of Electrical Engineering, N.B.K.R.I.S.T, Vidyanagar, INDIA. ABSTRACT This paper presents a systematic approach based on. New controlling methods. And various technologies are developed for wind energy conversion system. Induction generators are used by these technologies due to special characteristics of induction generators. Such as low weight and volume, high performance, high speed-torque control. In this paper, a new variable-speed WECS with an induction generator and Z-source inverter is proposed. Characteristics of Z-source inverter are used for maximum power tracking control and delivering power to the grid, simultaneously. Two control methods are proposed for delivering power to the grid. Capacitor voltage control and dc-link voltage control operation of system with these methods is compared from. View point of power quality and total switching device power (TSDP).In addition, TSDP, current ripple of inductor performance and total harmonic distortion of grid current of proposed system is compared with traditional wind energy system with a boost converter. IndexTerms-Doubly-Fed Induction generator (DFIG), capacitor voltage control, dc-link voltage control, total switching device power (TSDP), wind energy conversion system (WECS), Z-source inverter. INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY (IJEET) ISSN 0976 – 6545(Print) ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), pp. 305-323 © IAEME: www.iaeme.com/ijeet.asp Journal Impact Factor (2013): 5.5028 (Calculated by GISI) www.jifactor.com IJEET © I A E M E
  • 2. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 306 I. INTRODUCTION Wind energy is a sustainable resource due to the absence of total ecosystem pollution and environment. Wind turbines usage as source of energy has increased significantly in the world. With growing application of wind energy conversion system (WECS), various technologies are developed for them the most common type of megawatt class wind energy conversion system employs induction generators because they are relatively inexpensive, rigid and require low maintenance. [1]-[5] However, the impact of ever-changing wind speed on power quality coupled with the need for an excitation current make the voltage regulation difficult, especially when IG is connected to a weak ac system. Extracting maximum power from wind and feeding the grid with high quality electricity are two main objectives for WECS, to realize these objectives; the ac-dc-ac converter is one of the best topology for WECS.Fig-1 shows a conventional configuration of ac-dc-ac topology for IG. Fig.1. Conventional PMSG-based WECS with dc boost chopper. This configuration includes diode rectifier, boost dc-dc converter and three phase inverter, in this topology, boost converter is controlled for maximum power point tracking (MPPT) and inverter is controlled to deliver high quality power to the grid. The Z-source inverters have been reported recently as a competitive, alternative to existing inverter topologies with many inherent advantages such as voltage boost this inverter facilities voltage boost capability with the turning ON OF both switches in the same inverter phase lag (shoot through state). In this paper, a new IG-based WECS with Z-source inverter is proposed the proposed topology is shown in Fig-2 with this topology boost converters omitted without any change in the objectives of WECS. Fig. 2. Proposed PMSG-based WECS with Z-source inverter.
  • 3. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 307 Moreover, reliability of the system is greatly improved, because the short circuit across any phase lag of inverter is allowed. Also, in this configuration, inverter output power distortion is reduced, since there is no need to phase lag dead time.[6] Section-2 of this paper introduces Z-source inverter and describes operation of rectifier feeding the Z-source inverter then power delivery and MPPT control of system are explained. Finally, simulation results are presented to verify the performance of the proposed system. II. Z-SOURCE INVERTER The Z-source inverter is shown in Fig-3. Fig. 3. Voltage-type Z-source inverter This inverter has an impedance network on its dc side, which connects the source to the inverter. The impedance network is composed of two inductors and capacitors. The conventional voltage source inverter has six active vectors and zero vectors. However, the Z- source inverter has one extra zero vector(state) for boosting voltage that is called shoot through vector.[14] In this state, load terminals are shorted through both the upper and lower devices of phase lag, any two phase lags, or all three phase lags. The voltage of DC-link can be expressed as Where Vdc is the source voltage and B is the boost factor that is determined by Where to be the shoot- through time interval over a switching cycle. The output peak phase voltage Vac is Where M is the Modulation index. The capacitor voltage can expressed as.
  • 4. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 308 Where Relation between Vi and Vc can be written as. And current ripple of inductors can be calculated by. Fig.4 explains the simple PWM control method for Z-source inverter. This method employs two extra straight lines as shoot through signals, Vsc and –Vsc. [8] When the career signal is greater than Vsc or it is smaller than –Vsc, a shoot-through vector is created by inverter .The value of Vsc is calculated by. Fig. 4. PWM control method for Z-source inverter . In the proposed WECS, a diode rectifier bridge with input capacitors (Ca,Cb,Cc) serves as the DC source feeding the Z-source inverter. The configuration is shown in Fig-5 the input capacitors suppress voltage surge that may occur due to the line inductance during diode commutation and shoot through mode of the inverter. Fig. 5. Z-source inverter fed with a diode rectifier bridge.
  • 5. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 309 At any instant of time, only two phases that have the largest potential difference may conduct, carrying current from the IG side to the impedance. Fig-6 shows six possible states during each cycle. Fig. 6. Six possible conduction intervals for the rectifier. In any state ,one of upper diodes, one of lower diodes and the corresponding capacitor are active.[7] For example, when the potential difference between phases “a” and “b” is the largest, diodes Dpa and Dnb conduct in series with capacitor Ca as shown in Fig-7. Fig. 7. Equivalent circuit when the potential difference between phases “a” And “b” is the largest In each conduction interval, inverter operates in two modes. [13] In mode1, the inverter is operating in the shoot-through state. In this mode, the diodes (Dpa and Dnb) are off, and the dc link is separated from the ac line. Fig-8 shows the equivalent circuit in this mode. Fig. 8. Equivalent circuit of the Z-source inverter in mode 1. In mode 2, the inverter is applying one of six active vectors or two zero vectors, thus acting as a current source viewed from the Z-source with diodes (Dpa and Dnb) being on Figh-9 shows the equivalent circuit in this mode. [9] The load current I1 is zero during zero vectors.
  • 6. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 310 Fig. 9. Equivalent circuit of the Z-source inverter in mode 2 III.CONTROL SYSTEM The structure of the control system is shown in Fig-10 the control system is proposed of two parts: 1. control of power delivered to the grid and 2. MPPT. Fig. 10. Block diagram of proposed WECS control system. A. Control of power delivered to the grid: The power equations in the synchronous reference frame are given by. Where P and Q are the active and reactive power, respectively, V is grid voltage, and I is the current to the grid.[17] The subscripts D and ‘q’ stands for direct and quadrature components, respectively. If the reference frame is oriented along the grid voltage, Vq will be equal to zero. Then, active and reactive power may be expressed as
  • 7. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 311 According to earlier active and reactive power control can be achieved by controlling direct and quadrature current components, respectively. [10] Two control paths are used to control these currents. In the first path, with given reactive power, the q-axis current reference is set to obtain unit power factor, the q-axis current, reference should be set to 0.In the second path an outer capacitor voltage control loop is used to set the d-axis current reference for the active power control. This assures that all the power coming from the rectifier is transferred to the grid. For this control, two methods are proposed; 1. Capacitor voltage (VC) control and 2. Dc- link voltage (Vi) control. In the first control method (control mode 1 in Fig-0), capacitor voltage is kept constant at reference value .In the control loop, when shoot through time changes, Vdc and Vi will change.[16] However, in other method (control mode2 in Fi -10) , a reference value is set for dc-link voltage(Vi). In this method, with changing shoot through time, Vdc and VC will change. The input voltage of inverter is zero in shoot through state, which makes Vi a difficult variable to control consequently is used to control Vi in directly by controlling VC . In section iv, operation of system using these methods will be compared B.Maximum Power Point Tracking: The mechanical power delivered by a wind turbine is expressed as Where ρ is the air density, A is the area swept out by the turbine blades, Vw is the wind velocity, and Cp is the power coefficient defined as the ratio of turbine power to wind power and depends on the aerodynamic characteristic of blades. Fig (11) represents the relation between generator speed and output power according to the wind speed change. Fig. 11. Mechanical power versus rotor speed with the wind speed as a Parameter. It is observed that the maximum power output occurs at different generator speed for different wind velocities. The steady-state induced voltage and torque equations of IG are given by.
  • 8. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 312 Where W is rotor speed and Ia is stator current. Also we have Where Vis terminal voltage of IG and Ls is its inductance the rectified dc-link voltage may be obtained using. From 15to 17, the rectified dc voltage may be written as The torque is determined by the generator speed and the wind speed, therefore according to 18, it is possible to obtain a prediction for the dc voltage as a function of the generator speed and the wind speed. As result, the generator speed can regulate by setting the dc voltage. Fig -12 shows the rectified dc voltage versus rotor speed for maximum wind power operating point using rotor speed feed back and Fig-12 , the optimum rectified dc voltage is specified. Fig. 12. DC voltage versus optimum rotor speed characteristic. Using new optimum dc voltage, IG rotor speed will change and a new dc voltage. Command is specified from Fig-12 with this control strategy, IG rotor speed dc voltage is continuously changed until an equilibrium point is reached in Fig-12[15] .one can see from Fig -12 that the voltage –speed relationship is not a straight line. In order to implement a simple a control strategy as possible, it is desirable to implement a straight line. Voltage-speed relationship. In this paper quadratic approximation of the voltage speed relationship is used. After determining optimum dc voltage from voltage seed curve, shoot through signal Vsc PWM control is calculated bx.
  • 9. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 313 TABLE I. PARAMETERS OF DFIG PARAMETER VALUE RS 0.8785 Lq 5.8mH Ld 5.6mH P 8 J 9.329Kg.cm2 IV. SIMULATION To verify the performance of the proposed MECS, several simulation tests are performed. The simulated system parameters are listed in Tables I and II. Fig- 12 s plotted using mathematical model of the turbine and IG. The optimum curve can also be obtained by some tests in various wind speed. Solid curve in Fig-13 is dc voltage versus optimum rotor speed. Fig. 13. DC voltage and optimum rotor speed relation: simulated and approximated and calculated (actual). This curve is plotted with simulation of WECS for various wind speed and rotor speed .Dotted curve is a quadratic approximation of the bold curve . In next dotted curve is used for maximum power control. The maximum and minimum rotor speeds are considered as 1.3 and 0.6pu respectively. Simulation of Proposed System: In order to evaluate the dynamic performance of the proposed WECS, it is simulated for 4s .The wind speed is shown in Fig-14 . Fig. 14. Wind speed variation.
  • 10. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 314 Two simulations were performed using two different methods for active power control as mentioned in section II. TABLE II. SIMULATION PARAMETERS PARAMETER VALUE VG 84V Li 10Mh L1,L2 4Mh C1,C2 10KHz 1) Capacitor voltage control method: In this section, the proposed system is simulated using capacitor voltage control of Z-source inverter .Reference voltage for capacitor was set to 140 V Fig-15shows IG rotor speed. Fig. 15. PMSG rotor speed (capacitor voltage control) To obtain maximum power control, the rotor speed has changed with changing wind speed Fig-16 shows maximum mechanical power of turbine and extracted mechanical power from turbine . Fig. 16. Maximum mechanical power of turbine and the extracted mechanical power from turbine (capacitor voltage control).
  • 11. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 315 It is that extracted mechanical power is tracking the maximum mechanical power after a short time Fig-17 shows capacitor voltage. Fig. 17. Capacitor voltage (capacitor voltage control). Which is almost constant reactive power that is kept at zero (unity power factor) is also shown in Fig-18 Fig 19 shows active power delivered to the grid and the extracted mechanical power . Fig. 18. Active power delivered to the grid and extracted mechanical power (Capacitor voltage control). The electrical power delivered to the grid is different from the extracted mechanical power due to electrical and mechanical losses. Inductor current is shown in Fig-20. Fig. 19. Inductor current of Z-source inverter (capacitor voltage control).
  • 12. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 316 It is seen that the inductor current is variable, however current is almost constant. Fig. 20. Input voltage of Inverter (Vi ) (capacitor voltage control). In Fig-21 the input voltage of inverter (Vi) is shown .For MPPT control ,Vi has changed with variations of wind speed , while capacitor voltage is constant (Fig-17) that was expected from capacitor voltage control method. 2) DC link voltage control method: the previous simulation was repeated using dc link voltage control .Reference voltage for dc link of Z-source inverter was set to 165 V .Fig-22- 24shows rotor speed maximum mechanical power of turbine / the extracted mechanical power, and active power delivered to the grid. Fig. 21. PMSG rotor speed (dc-link voltage control). Fig. 22. The maximum mechanical power of turbine and the extracted mechanical power from turbine (dc-link voltage control).
  • 13. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 317 Fig. 23. Active power delivered to the grid and extracted mechanical power (Dc-link voltage control). . In dc-link voltage control method, for MPPT control, capacitor voltage must change while v1 is constant as shown in fig 25 and 26. Fig. 24. Capacitor voltage (dc-link voltage control). Fig. 25. Input voltage of Inverter (Vi ) (dc-link voltage control).
  • 14. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 318 The capacitor has slow dynamics on the other hand, there is a right half plane (RHP) zero in the transmitter function of VC, which causes undershoot in capacitor voltage. However, it is not a concern for MPPT control because dynamics of wind and turbine are slow too. We can see small undershoots in root speed(fig 22)that are not shown in (fig 15).These undershoots have no considerable effect on MPPT as the extracted mechanical power in figs16 and 23.But variation of capacitor voltage has more effect on power deliver as shown in fig 24,electrical power has more fluctuations than shown in fig 19. A. Operation Of Constant Wind Speed: In order to evaluate the performance of the proposed system, another simulation is performed using constant wind speed (10m/s) and with capacitor voltage control. Fig 27 illustrates dc-link voltage across rectifier that is changing from 95to 280v.with respect to fig8. Fig. 26. DC-link voltage across the rectifier. Fig. 27. DC-link voltage across the Z-source inverter when a shoot through vector is applied to Z-source inverter ,dc link voltage of rectifier will be twice as much as the capacitor voltage(280v)with reference to fig 13.When win d speed is 10m/s,dc-link voltage across rectifier must be 95v for MPPT.DC-link voltage across Z-source inverter is shown in fig 28,which is zero in shoot –through time intervals and 185v in other times according to figs 29 and 30 illustrate the inductor current with respect to current ripple must be 0.85A.This is shown in fig 30.
  • 15. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 319 Fig. 28. Inductor current of Z-source inverter (zoomed). However there is a low-frequency larger ripple, Because Z-Source inverter is fed by an uncontrolled rectifier. Fig 31 and 32 shows grid-current and its spectra. THD of injected current is 2.95%. Fig. 29. Grid current in proposed WECS. Fig. 30. Spectra of grid current in proposed WECS. B. Comparison with conventional system: In this section, the proposed WECS is compared with conventional WECS using boost converter replacing the Z-source network, as shown in fig (1). PWM switching method is implemented to keep DC bus voltage constant that switching pulse is generated by a new control box using Vc and Vdc. Inductance and capacitance of boost converter is selected twice as much as of the proposed system that is 4mH and 4400µF. TO correct comparison, traditional WECS was simulated in condition similar to previous simulation.
  • 16. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 320 Fig.31. Inductor current of boost converter. 3) Inductor Current Ripple: As shown in fig-33, the inductor current ripple is 0.38A as expected from theory the current ripple for the proposed WECS, as shown in fig 30, is twice as much that is 0.85A. As shown in fig 34.There is a low-frequency ripple caused by uncontrolled rectifier. The same ripple is shown in fig 29. For the proposed WECS. 4) Grid current THD: In a conventional inverter, added time is included in the switching of semiconductors to accidental short circuit in an inverter lag. Two simulations are performed with 0 and 5µs dead time using conventional WECS with boost converter> fig 35 and 36 insulate the grid current and its spectra for zero dead time simulation. Fig.32. Spectra of grid current in traditional WECS without dead time. THD is 3.1% that nearly equals THD of current in proposed WECS. Figs 37 and 38 show the grid current and its spectra for 5µs dead time simulation. THD has increased to 4.96%. 5) Efficiency: In order to compare efficiency, both proposed and conventional WECS was simulated with various wind speeds. The active electrical power delivered to grid versus wind speeds is shown in fig 39.
  • 17. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 321 Fig.33. Active power delivered to the grid in conventional and proposed WECS In each simulation efficiency is calculated by dividing the active electrical power by the maximum mechanical power (according to fig 11) fig 40 illustrates the efficiency of both systems in various wind speeds. Fig..34 Efficiency of conven34tional and proposed WECSs. According to fig 40, efficiency of conventional WECS is smaller than that of the proposed WECS, approximately 4% the reason is the extra and diode in conventional WECS with boost converter. 6) Total switching device power: The total switching device power (TSDP) is calculated as Where N is the number of semiconductor devices, Vsj and Isj are voltage stress and current stress of device, respectively, Cj is cost factor, and Cj is defined as 1 for semiconductor switch and 0.5 for diode. Table 3 shows TSDP of WECS system with boost converter, proposed WECS with voltage control of capacitor , and proposed WECS with voltage control of DC link. It is seen that TSDP of proposed WECS with capacitor voltage control is bigger than conventional WECS. However, with dc link, voltage capacitor, TSDP is increased only 6%.
  • 18. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 322 V CONCLUSION In this paper, an IG –based WECS with Z-source inverter is proposed, Z-source inverter is used for maximum power tracking control and delivering power to the grid. Simultaneously compared to conventional WECS with boost converter, the number of switching semiconductors is reduced by one and reliability of system is improved, because there is no requirement for dead time in a Z-source inverter. For active power control, two control methods: capacitor voltage control and dc-link voltage control is proposed and compared. It is shown that with dc-link voltage control method, TSDP is increased only 6% compared to conventional system, but there is more power fluctuations compared to capacitor voltage control. With capacitor voltage control TSDP is increased 19% compared to conventional system. It was also shown that due to eliminating of dead time, the THD of proposed system is reduced by 60% compared to conventional system by 3ms dead time. Finally, with same value to passive components, inductor current ripple is the same for both systems. VI REFRENCES [1] P. C. Loh, D. M. Vilathgamuwa, C. J. Gajanayake, Y. R. Lim, and C. W. Teo, “Transient modeling and analysis of pulse-width modulated Z-source inverter,” IEEE Trans. Power Electron., vol. 22, no. 2, pp. 498– 507, Mar. 2007. [2] F. Z. Peng, A. Joseph, J.Wang, andM. Shen, “Z-source inverter for motor drives,” IEEE Trans. Power Electron., vol. 20, no. 4, pp. 857–863, Jul.2005. [3] E. Spooner and A. C. Williamson, “Direct coupled permanent magnet generators for wind turbine applications,” Inst. Elect. Eng. Proc., Elect. Power Appl.,vol. 143, no. 1, pp. 1– 8, 1996. [4] A. M. Knight and G. E. Peters, “Simple wind energy controller for an expanded operating range,” IEEE Trans. Energy Convers., vol. 20, no. 2, pp. 459–466, Jun. 2005. [5] T. Tafticht, K. Agbossou, A. Cheriti, and M. L. Doumbia, “Output power maximization of a permanent magnet synchronous generator based standalone wind turbine,” in Proc. IEEE ISIE 2006, Montreal, QC, Canada, pp. 2412–2416. [6] M. Shen, A. Joseph, J. Wang, F. Z. Peng, and D. J. Adams, “Comparison of traditional inverters and Z-source inverter,” in Proc. Power Electron.Spec. Conf., 2005, pp. 1692–1698. [7] N. Yamamura, M. Ishida, and T. Hori, “A simple wind power generating system with permanent magnet type synchronous generator,” in Proc. IEEE Int. Conf. Power Electron. Drive Syst., 1999, vol. 2, pp. 849–854. [8] S. H. Song, S. Kang, and N. K. Hahm, “Implementation and control of grid connected AC–DC–AC power converter for variable speed windenergy conversion system,” Appl. Power Electron. Conf. Expo., vol. 1, pp. 154–158, 2003. [9] M. Chinchilla, S. Arnaltes, and J. C. Burgos, “Control of permanentmagnet generators applied to variable-speed wind-energy systems connected to the grid,” IEEE Trans. Energy Convers., vol. 21, no. 1, pp. 130–135, Mar. 2006. [10] F. Z. Peng, “Z-source inverter,” IEEE Trans. Ind. Appl., vol. 39, no. 2, pp. 504–510, Mar./Apr. 2003. [11].A.Mudroch,R.Barton,J.R.Winlelman,And S.H.Javid,”Control Design And Performance Analysis Of A 6mw Wind Turbine Generator”Ieee Trans.Power System Vol.PAS- 102,Pp,1340-1347,Dec,1983.
  • 19. International Journal of Electrical Engineering and Technology (IJEET), ISSN 0976 – 6545(Print), ISSN 0976 – 6553(Online) Volume 4, Issue 2, March – April (2013), © IAEME 323 [12] Ackermann, T.(ed) .2005 Wind Power In Power Systems.Wiley,England. [13] Bongers, p.vanbaars ,G.(1992) Wind Turbine Control Design And Implementation [14] “Wind Energy Explained-Theory, Design & Application” – By J.F. Manwell, J.G. McGown, A.L. Rogers. [15] Balas, M. Fingersh, L. Johnson, K. pao, L.(2006) Control Of Variable-Speed Wind Turbines: Standard And Adaptive Techniques For Maximizing Energy Capture. [16] De Montfort University (2007) Wind Energy Training Course. [Online] from:www.iesd.dmu.ac.uk/wind_energy/m32extex.html [Accessed in February 2007]. Dorf, R. (2000) The Electrical Engineering Handbook. CRC Press LLC, Florida [17] Bemporad, A. Morari, M. Dua, V. Pistikopoulos, E.(2002)The explicit linear quadratic regulator for constrained systems, Automatica, [Online] 38,3-20 Available from: www3.imperial.ac.uk/library/digitallibrary/electronicjournals [Accessed May 2007]. [18] P.H. Zope, Prashant Sonare, Avnish Bora and Rashmi Kalla, “Simulation and Implementation of Control Strategy for Z-Source Inverter in the Speed Control of Induction Motor”, International Journal of Electrical Engineering & Technology (IJEET), Volume 3, Issue 1, 2012, pp. 21 - 30, ISSN Print : 0976-6545, ISSN Online: 0976-6553. [19] P.H. Zope and Ajay Somkuwar, “Design and Simulation of Single Phase Z-Source Inverter for Utility Interface”, International Journal of Electrical Engineering & Technology (IJEET), Volume 1, Issue 1, 2010, pp. 127 - 143, ISSN Print : 0976-6545, ISSN Online: 0976-6553. [20] Mr. Laith O. Maheemed, Prof. D.S. Bankar and Dr. D.B. Talange, “Power Quality Improvement of Wind Energy Conversion System using Unified Power Quality Conditioner”, International Journal of Electrical Engineering & Technology (IJEET), Volume 3, Issue 1, 2012, pp. 288 - 302, ISSN Print : 0976-6545, ISSN Online: 0976-6553. [21] Nadiya G. Mohammed , HaiderMuhamadHusen and Prof. D.S. Chavan, “Fault Ride- Through Control for a Doubly Fed Induction Generator Wind Turbine Under Unbalanced Voltage Sags”, International Journal of Electrical Engineering & Technology (IJEET), Volume 3, Issue 1, 2012, pp. 261 - 281, ISSN Print : 0976-6545, ISSN Online: 0976-6553. [22] Haider M. Husen, Laith O. Maheemed and Prof. D.S. Chavan, “Enhancement of Power Quality in Grid-Connected Doubly Fed Wind Turbines Induction Generator”, International Journal of Electrical Engineering & Technology (IJEET), Volume 3, Issue 1, 2012, pp. 182 - 196, ISSN Print : 0976-6545, ISSN Online: 0976-6553.