Comprehensive
Comprehensive
3, AUGUST 2013
T O minimize the negative effects of large-scale wind bances on voltage and frequency, traditional thermal generators
power integration on the reliability of power grids, dif- must fulfill the LVRT requirement as well as providing emer-
ferent countries have defined different low voltage ride through gency power supports. With the increased wind penetration, grid
(LVRT) requirements for wind turbines (WT) in their grid connection requirements for WTs are getting reinforced to re-
codes. Fig. 1(a) combines the LVRT requirements according quire reactive power support by WTs during grid faults as well
to German, Scottish and Irish grid codes where WTs must stay [1]–[6]. For example, the Spanish grid code demands WTs to
connected when the terminal voltage remains inside or above start voltage control within 20 ms after fault recognition by pro-
the shadow area [1]. As illustrated in the figure, in Germany, viding additional reactive current amounting to at least 2% for
each percent of the voltage dip [3]. In Ireland [5] and the U.K.
[6], WTs must provide the maximum reactive current during a
Manuscript received August 05, 2012; revised August 23, 2012, November fault. Fig. 1(b) plots the worst case of reactive current require-
25, 2012, and January 05, 2013; accepted January 06, 2013. Date of publication
February 04, 2013; date of current version July 18, 2013. This work was sup- ments according to Spanish [3] and German [4] codes where a
ported in part by Hong Kong RGC GRF grants no. 515110 and 528412, in part WT’s reactive power support capability must remain inside or
by Hong Kong Polytechnic University via grants 4-ZZ8Z and G-YK80, and in right to the shadow area.
part by National Natural Science Foundation of China (No. 51207122). Paper
no. TPWRS-00912-2012. Doubly fed induction generator (DFIG) based WTs are
D. Xie is with the Department of Electrical Engineering, Hong Kong widely used because of high efficiency, variable speed oper-
Polytechnic University, Hong Kong, and also with State Grid Electric ation, as well as the use of converters with partial capacity
Power Research Institute, Nanjing, China (e-mail: eexdl@polyu.edu.hk;
xiedongliang@sgepri.sgcc.com.cn).
that enables independent control on active and reactive power.
Z. Xu is with the Department of Electrical Engineering, Hong Kong Poly- To realize LVRT for DFIGs, several technical concerns arisen
technic University, Hong Kong (e-mail: eezhaoxu@polyu.edu.hk). due to the grid faults must be properly addressed including
L. Yang is with State Key Laboratory of Electrical Insulation and Power the overcurrent in the stator and rotor circuits, the overvoltage
Equipment, Xi’an Jiaotong University, Xi’an 710049, China (e-mail:
lihui.yang@mail.xjtu.edu.cn). of the DC-link connecting the rotor side converter (RSC) and
J. Østergaard is with the Centre for Electric Power and Energy, Department the grid side converter (GSC), and the overloading of these
of Electrical Engineering, Technical University of Denmark, DK-2800 Lyngby, converters. To meet the challenging requirements of reactive
Denmark (e-mail: joe@elektro.dtu.dk).
Y. Xue is with State Grid Electric Power Research Institute, Nanjing, China power support during voltage dips, the reactive power output
(e-mail: xueyusheng@sgepri.sgcc.com.cn). from DFIGs needs to be increased as much as possible.
K. P. Wong is with the University of Western Australia, Crawley 6009, The existing LVRT solutions for DFIGs can be generally cat-
Western Australia (e-mail: kitpo@ieee.org).
Color versions of one or more of the figures in this paper are available online
egorized into two types including
at http://ieeexplore.ieee.org. — The crowbar protection [7]–[11]: Additional crowbar
Digital Object Identifier 10.1109/TPWRS.2013.2240707 resistors will be inserted into DFIG rotor circuits to limit
(1)
Fig. 4. Control scheme of the rotor side converter in normal operations.
where is the fault occurrence time, and is the rotor in-
ertia. With high wind speeds, the pitch control will be immedi-
change of grid voltage. This is the main reason for the observed ately triggered once the turbine speed exceeds the rated value,
rotor current oscillations. In view of this, the authors have tried so that the captured wind energy will be reduced effectively.
to decrease the basic component of the rotor current through Therefore the negative effect of increased mechanical stress to
cutting off the energy injection into the rotor circuit in [18], a the WT’s construction can be little as the pitch control will pre-
different way with practical merits to achieve the same goal of vent the rotor speed from over-speeding.
the crowbar protection. Under variable speed mode, the MPPT control is realized by
Once activated, however, the crowbar protection will convert setting the generator rotor’s reference speed as [20]
the DFIG into a typical induction motor [12]. Many demagne-
tizing methods make full use of the control loops for both d-
(2)
and q-axis currents in the rotor circuit. Compared with these
methods, the LVRT control strategy proposed by the authors in
[18] reserves considerable potential reactive power capacity so where is the output power, is the electromagnetic torque,
that a well-designed reactive controller can largely enhance the and is a construction dependent constant.
reactive power delivery to the grid, which is the focus of this To prevent overcurrent in the stator and rotor, the basic
paper. component of active current should be restricted. Accordingly,
The following sections will introduce the newly proposed the maximum allowed active power injected into the generator
control strategy in detail, which integrates the LVRT and re- during a fault is therefore restricted as below, based on (2)
active power control. Simulation validations as well as com-
parisons with other existing LVRT and reactive power control (3)
methods for DFIGs are given in Section IV.
where is the RMS value of the current PCC voltage, and
A. Rotor Side Control is the rated value of the voltage.
The reference value of q-axis current is expressed as a func-
In normal operations, the decoupling of active and reactive tion of the reference value of electromagnetic torque as in Fig. 4
power control is realized through the vector control technique [20]
with a reference frame oriented along the stator voltage vector
[20], resulting in the relatively independent d- and q-axis control (4)
loops as shown in Fig. 4. The q-axis loop controls the electro-
magnetic torque whose input signal is given by a PI controller The stator flux is hard to be measured accurately, since it
comparing the actual rotor speed with the reference one. The changes rapidly and cannot be controlled directly. Equation (4)
d-axis loop, corresponding to the control of magnetizing cur- indicates that this will lead to errors in the reference value for
rent, uses the desired reactive power as its input signal. The the rotor current. The first-order partial derivative of on
stator flux in Fig. 4 is estimated by the stator voltage [20]. is as follows:
not ensure the rotor speed within the normal range, especially
under the high wind scenarios with the required LVRT dura-
tion of more than 1 s as shown in Fig. 1(a). With the proposed
control, DFIG will continue the active power production during
faults which is encouraged by the British grid code [6]. The
rotor-side control scheme during voltage dips is illustrated in
Fig. 5.
The new scheme in Fig. 5 is still a first-order system. Only
Fig. 7. Control scheme of the grid side converter during voltage dips.
the measurements of electric variables e.g. the grid voltage are
involved. Though the inertia energy is changing during this con-
trol process, there is no inertia response [21], [22] considered,
measured or directly controlled. Therefore only a small time (9)
delay is possibly involved in the closed control loop. PI con-
trollers with large bandwidths would be better for dealing with (10)
the fast oscillations of rotor current during voltage dips. How-
ever a larger bandwidth controller often has lower stability. The
bandwidth of a first-order system can be estimated from the where , and are the currents of the three branches con-
10%–90% rise time as follows [23]: necting the DC-link circuit and the RSC, the GSC and the capac-
itor , respectively. is the d-axis component of the grid-side
(7) circuit current. is the voltage cross the capacitor . is the
instantaneous active power injecting into the DC-link from the
In the following simulations, PI controllers with a bandwidth rotor side. , nominally 0.75, is the factor of PWM modulation
of about 35 Hz, i.e., the rise time of 10 ms, are enough to achieve depth [20].
good performances. During voltage dips, intense electromagnetic transients will
Similar to the demagnetizing methods, the control perfor- cause large . The PI controller in Fig. 6 cannot follow the
mance could also be affected if the voltage magnitude of RSC rapid changes of the current in time. A compensation term is
reaches its limit. Since the proposed method will not fully stop required to be added to represent the instantaneous variations
the DFIG from converting the mechanical energy to the elec- in . The term is used as the compensation signal
trical one during faults, the RSC voltage limit may not be ex- in [24], but the stator voltage may reduce to zero, consequently
ceeded at all while keeping the rotor current below 2 p.u. during resulting in overcompensation. Based on (8) and (9), the term
the short durations of LVRT. is therefore added to the d-axis control loop as shown
in Fig. 7, in order to smooth the fluctuations of DC-link voltage.
B. Grid Side Control
The reference frame of the GSC controller is also oriented
along the stator voltage vector based on the vector control tech- C. Reactive Power Control
nique. The d-axis loop controls the active power in order to Due to limited capacity of DFIG converters, the reactive
maintain a stable DC-link voltage. The q-axis loop controls re- power reference of the GSC is kept zero in normal operations,
active power generated from the grid side as illustrated in Fig. 6. in order to decrease the current and losses in both the con-
Under normal operations, the grid-side circuit current is much verters. Meanwhile, the response time of GSC is usually faster
smaller than the rotor circuit one. However, the grid-side circuit than RSC [12]. Therefore, the coordination for reactive power
current will rise significantly in low voltage events, where the generation between stator and GSC can be realized by using
GSC is an important delivery channel for the remaining active the following staged control scheme, where the output signal
power generated in the rotor circuit, and also a reactive power of the reactive power controller on the RSC is the input to the
source. one of the GSC. Therefore, the needed reactive power control
According to Kirchhoff’s circuit laws, the DC-link voltage due to PCC voltage variations can be distributed automatically
and related branch currents as denoted in Fig. 2, satisfy between both sides. It firstly uses the RSC to generate reactive
power until the fault becomes so serious that the GSC is also
(8) required to supply additional reactive power.
3306 IEEE TRANSACTIONS ON POWER SYSTEMS, VOL. 28, NO. 3, AUGUST 2013
Fig. 13. Simulated transient responses of the studied DFIG WT at 50% voltage
drop and low wind speed (8 m/s) for control strategies A (crowbar), B (demag-
netizing method) and C (the proposed strategy). (a) Variation of total reactive
power. (b) Variation of reactive power from the stator side. (c) Variation of re-
active power from the GSC. (d) Variation of capacitive reactive current.
Fig. 15. Simulated transient responses of the studied DFIG WT at 85% voltage
drop and high wind speed (13 m/s) for control strategies A (crowbar), B (demag-
netizing method) and C (the proposed strategy). (a) Variation of total reactive
power. (b) Variation of capacitive reactive current.
Fig. 14. Simulated transient responses of the studied DFIG WT at 85% voltage
drop and high wind speed (13 m/s) for control strategies A (crowbar), B (de-
magnetizing method) and C (the proposed strategy). (a) Variation of terminal
voltage. (b) Variation of active power. (c) Variation of rotor current. (d) Varia-
tion of DC-link voltage. (e) Variation of grid-side circuit current. (f) Variation
of rotor speed. (g) Variation of the voltage on RSC.
APPENDIX
The following gives the parameters used in the studied DFIG
WT model.
Fig. 17. Simulated rotor current of the studied DFIG WT at 85% voltage drop WT: Rated wind speed is 12 m/s; inertia constant ;
and high wind speed (13 m/s) for different starting time of a fault. damping coefficient ; shaft stiffness coefficient
; time constant of the pitch servo
;
DFIG: Base power, voltage and current are 1.5 MW, 575 V
and 1505 A accordingly; stator rated voltage and current are
575 V and 1505 A separately; rotor rated voltage and current
are 172.5 V and 1505 A accordingly; rotor rated speed is 1.1
p.u. (the synchronous speed is 1 p.u.); inertia constant
; friction coefficient ; stator resistance
; rotor resistance ; stator leakage
inductance ; rotor leakage inductance
; mutual inductance ; the rated voltage
on DC-link is 1200 V; the filtering inductance on the grid side
.
Fig. 18. Simulated rotor current of the studied DFIG WT at 85% voltage drop
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Kit Po Wong (M’87–SM’90–F’02) received the
Dongliang Xie received the M.Sc. degree from M.Sc, Ph.D., and higher doctorate D.Eng. degrees
Royal Institute of Technology (KTH), Sweden, from the University of Manchester, Institute of
and the Ph.D. degree in electrical engineering from Science and Technology, Manchester, U.K., in 1972,
Southeast University, China, in 2012. 1974, and 2001, respectively. He is a Winthrop
During 2011–2012, he was a research associate in Professor at with the Department of Electrical, Elec-
Hong Kong Polytechnic University. He is currently tronic and Computer Engineering, The University
working for State Grid Electric Power Research of Western Australia. His current research interests
Institute (SGEPRI), State Grid Corporation of China. include smart grid, power system analysis, planning
His research interests include analysis, simulation and operations.
and control for smart grid architectures and essentials Prof. Wong received three Sir John Madsen
consisting of renewable power generation, power Medals (1981, 1982, and 1988) from the Institution of Engineers Australia,
market and power system interactions, and demand elasticity. the 1999 Outstanding Engineer Award from IEEE Power Chapter Western
Australia, and the 2000 IEEE Third Millennium Award. He was General
Chairman of IEEE/CSEE PowerCon2000, IEE APSCOM 2003 and APSCOM
2009 international conferences. He was an Editor-in-Chief of IEE Proceedings
Zhao Xu (M’06–SM’12) received the Ph.D. degree in Generation, Transmission and Distribution and Editor (Electrical) of the
in electrical engineering from The University of Transactions of Hong Kong Institution of Engineers. He is serving as an
Queensland, Brisbane, Australia, in 2006. Editor-in-Chief of IEEE PES Letters.
From 2006–2009, he was an Assistant and later
Associate Professor with the Centre for Electric
Technology, Technical University of Denmark.
Since 2010, he joined Hong Kong Polytechnic Uni-
versity. His research interests include demand side,
grid integration of wind power, electricity market
planning and management.
Dr. Xu is now serving as the Secretary of PES/IAS/
PELS/IES Joint Chapter, IEEE Hong Kong Section.