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Bulletin of Electrical Engineering and Informatics
Vol. 8, No. 2, June 2019, pp. 367~374
ISSN: 2302-9285, DOI: 10.11591/eei.v8i2.1430  367
Journal homepage: http://beei.org/index.php/EEI
Stability check of doubly fed induction generator (DFIG) micro
grid power system
Ameerul A. J. Jeman1
, Naeem M. S. Hannoon2
, Nabil Hidayat3
, Mohamed. M. H. Adam4
, Ismail
Musirin5
, Vijayakumar V.6
1,2,3,4,5
Faculty of Electrical Engineering, Universiti Teknologi MARA (UITM), Malaysia
6
School of Computing Science and Engineering, VIT University Chennai, India
Article Info ABSTRACT
Article history:
Received Oct 18, 2018
Revised Nov 22, 2018
Accepted Feb 3, 2019
As of late, expanding interest of renewable energy and consumption of non-
renewable energy source have prompted developing advancement of
renewable energy technology, for example, wind energy. Wind energy has
turned out to be one of the reliable sources of renewable energy, which
requests extra transmission capacity and better methods for sustaining system
reliability. As of now, doubly fed induction generator wind turbine is the
most well-known wind turbine. This paper focuses on DFIG wind farm
design using MATLAB/SIMULINK and also investigates the issues of the
system stability of the DFIG wind turbine micro grid power system. This
analysis includes the changes of voltage, current, real power and reactive
power based on various conditions of the power system.
Keywords:
Doubly fed induction generator
Renewable energy
Stability
System reliability
Wind turbine Copyright © 2019 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
Naeem M. S. Hannoon,
Faculty of Electrical Engineering,
Universiti Teknologi MARA (UiTM),
40450 Shah Alam, Selangor, Malaysia.
Email: hannoon.naeem@gmail.com
1. INTRODUCTION
Microgrids are ending up progressively alluring to consumers and all things considered later on, an
incredible number of them will be introduced at customer's locales since it has a huge potential in boosting
the practical development. Microgrid frameworks, when suitably arranged, can separate and reconnect a
distribution utility. Microgrids contrast from conventional electrical systems by strategies for giving an
unrivaled closeness between power generation and power utilize, following in performance improvement and
transmission decreasing. What's more, microgrids likewise coordinate with sustainable energy, for example,
wind control, sunlight based, hydro, geothermal, and biomass. Renewable energy, particularly wind energy is
enormously useful for ecological, climatic, financial conditions and in addition wellbeing. These days,
increment in energy demand and decrease of fossil fuels have prompted the expansion of renewable energy
[1, 2]. Wind is ascending as a potential and a fundamental source of sustainable energy on account of its huge
scale accessibility in diverse zones and in context of the focal points in regards to economy of power
generation with wind on a huge scale [3, 4]. The utilization of wind plants is increasing exponentially from
the past. Wind power generation technology has gotten overall consideration and is relied upon to play out a
huge part in the anticipated energy industry. Doubly-Fed Induction Generator (DFIG), at this time is the most
popular wind generator due to its abundant advantages such as high efficiency, capability of providing
reactive power support and relatively small rating of power converters [5]. The DFIG wind turbine, by
definition, is a wound-rotor induction generator that functions either by governing the slip rings or by the
power converter interconnected with grid [6]. A DFIG wind turbine is a complex setup including diverse
physical spaces immovably coordinating with each other. The electrical structure, for example, is influenced
 ISSN: 2302-9285
Bulletin of Electr Eng and Inf, Vol. 8, No. 2, June 2019 : 367 – 374
368
by the converter's mechanical components and cooling system, together with the rotor blades, shaft and
gearbox. This infers amid part selection and plan of control schemes the effect of areas on each other must be
well-thoroughly measured in order to attain an overall system performance that the outline is dynamic,
productive and cost effective [7].
Interconnection of microgrids is a useful method to accomplish higher usage of sustainable power
source, diminish transmission losses, bring down infrastructure capital investment, and accomplish higher
reliability of electricity supply. One of the sustainable sources, DFIG wind turbines have been utilized
generally as of late. Aside from that, microgrid power system experiences astonishing quick changes
regarding interest or generation arrays and trading actions that prevent the system operation and in addition
security. At the point when wind turbines are created with huge power, a few issues emerge in associating it
to control frameworks. This stability in the power system brings about the voltage and reactive power
problem of the system. Voltage and reactive power control problems are substantial for nonstop case stability
in power systems.
Correspondingly, it is basic to upgrade the stability in a microgrid, partaking a DFIG wind turbine
so as to improve the power system performance. The stability of a system identifies with its reaction to inputs
or disturbances. A system which stays in a constant state unless influenced by an external action and which
remains to a steady state when the external action is evacuated can be considered to be stable. There is a
requirement for stability analysis to decide how shut the system is to instability and to decide the steady-state
performance and transient response. Special techniques are fundamental so as to avert instability without
invading grid requirements [4].
This paper presents the stability check of doubly fed induction generator (DFIG) micro grid power
system. In this study, a detail analysis was conducted on the dynamic behavior gained by a system.
Simulations are conducted by developing the corresponding model in MATLAB/SIMULINK. The setting for
stability analysis in a DFIG wind turbine based microgrid with various cases such as during islanding, fault
during islanding with and without capacitive bank. Apart from that, simulation results illustrate the efficiency
of the proposed method and objectives and its effect upon the stability of the microgrid. There are main
objectives for this study, namely to analyze the effect on stability during certain conditions in microgrid
power system, to design a microgrid consisting of a DFIG wind farm and to propose a strategy and system
that improves the performance reliability in microgrid power system.
2. MODEL DESCRIPTION OF DFIG SYSTEM
2.1. Doubly fed induction generator (DFIG) wind turbine
DFIG can work in a higher wind speed range and yield or devour reactive power through the charge
gave by the rotor-side converter, contrasting with conventional squirrel-cage induction generator wind
turbine [8]. Basically, wind turbine driven on DFIG consists of Turbine and Drive Train, Wound Rotor
Induction Generator, Wind Turbine Control, and AC-DC-AC Converter. By improving the turbine speed,
DFIG permits separating most extreme vitality from the wind for low wind speeds, while restricting
mechanical stresses on the turbine amid whirlwinds. The perfect turbine speed making most extreme
mechanical vitality for a given breeze speed is relative to the breeze speed. In a commercial DFIG wind
turbine, there are diverse kinds of energy storage components, for example, rotor mass of generator and
dc-link capacitor of voltage source converter (VSC) for DFIG excitation [9].
2.2. AC-DC-AC converter
Whereas the wound rotor is fed from the Power Electronics Converter via slip rings to permit DFIG
to function at a variability of speeds in response to altering wind speed, the stator is directly connected to the
AC mains, Indisputably, the essential idea is to mediate a frequency converter between the variable
frequency induction generator and fixed frequency grid. The DC capacitor linking stator-and rotor-side
converters permits the capacity of energy from induction generator for further generation [10]. DC-link
voltage must be enhanced to a level higher than the amplitude of grid line-to-line voltage with a specific end
goal to accomplish full control of grid current.
2.3. Turbine and drive train
The power is transmitted from the rotor to the generator through the system comprising rotor shaft,
shaft-hub clamping lock, multiplication gearbox, flexible coupling and other devices in typical wind turbine
drivetrain [11].
Bulletin of Electr Eng and Inf ISSN: 2302-9285 
Stability check of doubly fed induction generator (DFIG) micro grid power system (Ameerul A. J. Jeman)
369
2.4. Wound rotor induction generator
Regularly, the three phase generator rotor windings are associated with external resistors through a
power electronic converter. Variation in the compelling rotor resistance will bring about a variation of the
generator slip, which at last influences the rotational speed. The essential purpose behind utilizing a
doubly-fed induction generator is for the most part to deliver three-stage voltage whose stator frequency is
steady, for example, whose stator frequency stays equivalent to the system frequency of the ac power
network to which the generator is associated, in spite of contrasts in the generator rotor speed instigated by
varieties of the mechanical power gave by the prime mover (wind turbine rotor) driving the generator [12].
2.5. Wind turbine control
Wind Turbine Control can start and close down turbine operation alongside facilitates the operation
of numerous wind turbines in response of operating and environmental conditions. [13] expressed that a
controller is composed utilizing a sliding method of the terminal to diminish the system shifting by
connecting the versatile modeling theory to manage the unspecified parameters and control signal smoothing
with a specific end goal to enhance behavior of system outputs in the unstructured presence of vulnerabilities.
The connected powerful examination and strong controller plan for an acceptance generator unit with a
breeze turbine have been talked about [14]. To streamline wind turbine task some control plans, require a
strategy for evaluating the breeze speed [15].
3. RESEARCH METHOD
In this study, the assessment of stability for wind energy driven doubly fed induction generator (DFIG)
is conducted. The system focuses on how the voltage-current profile at load, real power at load and reactive
power at load will be affected during:
a. Low Load (1MW)
1) During islanding without fault and without capacitive bank
2) During islanding without fault and with capacitive bank
3) During islanding with fault and without capacitive bank
4) During islanding with fault and with capacitive bank
b. High Load (100MW)
1) During islanding without fault and without capacitive bank
2) During islanding without fault and with capacitive bank
3) During islanding with fault and without capacitive bank
4) During islanding with fault and with capacitive bank
In this system, the power of wind turbine is 9MW consist of six 1.5MW connected to 25kV
distribution system exports power to a 154kV grid through a 26.5km, 25-kV feeder in this system. This wind
turbine system is included in the induction motor with power electronic IGBT converters.
4. RESULTS AND ANALYSIS
To harness the wind power efficiently the most reliable system in the present era is grid connected
doubly fed induction generator (DFIG). Therefore, it is very crucial to know how the voltage-current profile,
real power and reactive power of the overall power system in order to maintain the system stability. Apart
from that, the comparison is done when capacitive bank is added to compensate the power quality of the
system. Thus, through the collected result, the work is classified into various conditions of simulation. In
each condition, the result of the simulations are compared in order to observe the differences.
Table 1 tabulates the results comparison of voltage-current profile during islanding for low load and
high load. Four conditions have been considered in this study, namely (a) without fault and without
capacitive bank, (b) without fault and with capacitive bank, (c) with fault and without capacitive bank and d)
with fault and with capacitive bank. These results are presented in time domain for both the low load and
high load. The load condition considers 1 MW, while the high load considers 100 MW. For each load
condition, 2 responses are displayed to represent the voltage and current responses. The first waveform is the
voltage response, while the second one is the current response.
From the table, the high load connected wind turbine experiences superior performance in both the
voltage and current waveforms. This phenomenon happens to all the four conditions as can be observed in
the table. In high load connected to wind turbine, the performance of the system is more stable with less
fluctuations. For low load connected to the wind turbine, it is observed that all the 2 conditions without the
capacitive bank exhibit oscillatory response in the beginning, followed by a long-time settlement. On the
other hand, with the capacitive bank connected to the system; compensation process has been accommodated.
 ISSN: 2302-9285
Bulletin of Electr Eng and Inf, Vol. 8, No. 2, June 2019 : 367 – 374
370
This scheme has made the low load conditions settled down earlier as compared the condition without
capacitive bank.
Table 1. Comparison of voltage-current profile during islanding for low load and high load
Condition Low Load (1MW) High Load (100MW)
Without Fault and
Without Capacitive
Bank
Without Fault and With
Capacitive Bank
With Fault and Without
Capacitive Bank
With Fault and With
Capacitive Bank
3.1. Comparison data for low loading (1 MW) condition
Table 2 tabulates the comparison result collected during islanding without fault and without
capacitive bank. Six load conditions have been subjected to the system. The load is composite which
combines the variations in active power and reactive power. The active power load is set constant worth 1
MW throughout the whole study, while the reactive power load varies from 10 VAR to 1MVAR as can be
referred to the table.
Table 2. Comparison result collected during islanding without fault and without capacitive bank
Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR)
P=1MW
Q=10VAR
17.03k 27.24 10.62M -104.7
P=1MW
Q=100VAR
17.03k 27.25 10.62M -1048
P=1MW
Q=1kVAR
17.09k 27.35 10.68M -10.53k
P=1MW
Q=10kVAR
18.42k 29.46 11.16M 110k
P=1MW
Q=100kVAR
18.98k 30.56 14.68M -1.436M
P=1MW
Q=1MVAR
31.98k 74.87 18.77M -17.78M
Bulletin of Electr Eng and Inf ISSN: 2302-9285 
Stability check of doubly fed induction generator (DFIG) micro grid power system (Ameerul A. J. Jeman)
371
It is observed that, the increases from 17.03 kV to its maximum value worth 31.98 kV at the highest
reactive power load. The same phenomenon occurs for current and real power. Nevertheless, the voltage and
current increment do not happen at low VAR value, i.e. 10 VAR and 100 VAR. Negative values of VAR as
the output imply that reactive powers are absorbed by the system.
Table 3 tabulates the comparison result collected during islanding without fault and with capacitive
bank. These are the results collected without fault, but capacitive bank was connected to the system. In
general, the same load variations were subjected to the system. With the capacitive bank connected to the
system, higher current and voltage values have been achieved as compared to the results in Table 2. This
implies that the presence of capacitive bank in the system has helped increased the voltage and current I the
system. The same phenomenon is experienced by the real power and reactive power in the system.
Table 3. Comparison result collected during islanding without fault and with capacitive bank
Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR)
P=1MW
Q=10VAR
149.2k 238.6 53.39M -501.3
P=1MW
Q=100VAR
33.14k 53.02 56.76M -5336
P=1MW
Q=1kVAR
25.74k 41.2 55.07M -51.76k
P=1MW
Q=10kVAR
67.41k 51.33 69.06M -652.3k
P=1MW
Q=100kVAR
84.76k 136.4 124.1M -12.07M
P=1MW
Q=1MVAR
104.1k 240.7 136.4M -135.9M
The comparison result collected during islanding with fault and without capacitive bank is tabulated
in Table 4. Similar load variations as those in Table 2 and Table 3 are considered in this table. The voltage
and current values are not consistent.
Table 4. Comparison result collected during islanding with fault and without capacitive bank
Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR)
P=1MW
Q=10VAR
69.5k 111.2 16.28M -148.8
P=1MW
Q=100VAR
69.56k 111.3 16.27M -1488
P=1MW
Q=1kVAR
70.18k 112.3 16.24M -14.85k
P=1MW
Q=10kVAR
72.42k 115.9 12.59M -120.6k
P=1MW
Q=100kVAR
22.82k 36.75 16.87M -1.543M
P=1MW
Q=1MVAR
32.18k 75.39 73.59M -69.42M
The same phenomenon also happens for both the real and reactive power values. The highest
voltage and current values are experienced at P=1MW and Q=10kVAR.The system also absorbs reactive
power at all the load variations as can be observed from the same table.
Table 5 shows the results for voltage, current, real power and reactive power when the load is 1 MW
and Q from 10 VAR to 100 MVAR. This load variation is the same as those in all the previous cases, i.e.
Table 1 to Table 4. For voltage and current, the results are decreasing until 1 kVAR and increase back until 1
MVAR. Real power results do not have pattern. In general, the profiles of all the properties such as the
voltage, current, real power and reactive power are not consistent.
 ISSN: 2302-9285
Bulletin of Electr Eng and Inf, Vol. 8, No. 2, June 2019 : 367 – 374
372
Table 5. Comparison result collected during islanding with fault and with capacitive bank
Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR)
P=1MW
Q=10VAR
34.63k 55.4 53.39M -501.3
P=1MW
Q=100VAR
108.9k 174.2 56.76M -5336
P=1MW
Q=1kVAR
34.35k 54.97 55.07M 51.76k
P=1MW
Q=10kVAR
84.29k 134.9 67.32M 646.8k
P=1MW
Q=100kVAR
42.93k 82.65 124.1M -12.07M
P=1MW
Q=1MVAR
129.3k 302 148.3M -149.2M
3.2. Comparison data for high loading (100 MW) condition
The results for high loading conditions worth 100 MW are tabulated in Tables 6, 7, 8 and 9. Table 6
tabulates the comparison result collected during islanding without fault and without capacitive bank. This
table shows the results for voltage, current, real power and reactive power when the load is 1 MW and Q
from 10 VAR to 100 MVAR. The voltage and current values are almost consistent for all the loading
conditions. The same phenomenon also happens to the real power of the system. However, the reactive
power values are not consistent for all the load values.
Table 6. Comparison result collected during islanding without fault and without capacitive bank
Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR)
P=100MW
Q=10VAR
1834 293.5 807.6k -0.0787
P+100MW
Q=100VAR
1834 293.5 807.6k -0.787
P=100MW
Q=1kVAR
1834 293.5 807.6k -7.87
P=100MW
Q=10kVAR
1834 293.5 807.7k -78.7
P=100MW
Q=100kVAR
1835 293.5 807.7k -787.1
P=100MW
Q=1MVAR
1835 293.7 808.6k -7881
The results for comparison during islanding without fault and with capacitive bank are tabulated in
Table 7. Similar load variations are subjected to the system. From the table, the values for voltage, current
and real power are consistent for all the load values. Apparently, the presence of capacitive bank has made
the voltage, current and real power to be consistent due to the element of compensation process. However,
the values for reactive power are not consistent due to different load values.
Table 7. Comparison result collected during islanding without fault and with capacitive bank
Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR)
P=100MW
Q=10VAR
1836 293.7 808.6k -0.07882
P=100MW
Q=100VAR
1836 293.7 808.6k -0.7882
P=100MW
Q=1kVAR
1836 293.7 808.6k -7.882
P=100MW
Q=10kVAR
1836 293.7 808.6k -78.82
P=100MW
Q=100kVAR
1836 293.7 808.7k -788.2
P=100MW
Q=1MVAR
1836 293.8 809.4k -7891
The results for islanding case with fault and without the presence of capacitive bank are tabulated in
Table 8. Similar load values were subjected to the system. Apparently, with fault occurrence in the system
Bulletin of Electr Eng and Inf ISSN: 2302-9285 
Stability check of doubly fed induction generator (DFIG) micro grid power system (Ameerul A. J. Jeman)
373
the voltage, current and real power of the system are consistent. Only the reactive power is not consistent. It
implies that the fault occurrence has made the voltage, current and real power to be consistent.
Table 8. Comparison result collected during islanding with fault and without capacitive bank
Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR)
P=100MW
Q=10VAR
1932 309.1 895.5k -0.08931
P+100MW
Q=100VAR
1932 309.1 895.5k -0.8931
P=100MW
Q=1kVAR
1932 309.1 895.5k -8.931
P=100MW
Q=10kVAR
1932 309.1 895.5k -89.32
P=100MW
Q=100kVAR
1932 309.1 895.8k -894
P=100MW
Q=1MVAR
1935 309.7 898.6k -9005
Table 8 shows the results for voltage, current, real power and reactive power when the load is 1 MW
and Q from 10 VAR to 100 MVAR. For voltage, current and real power, the results are increasing. It is
different for reactive power. Results for reactive power vary for all the loads. The reactive power fluctuates
when different reactive load value is gradually subjected to the system. Table 9 tabulates the comparison
result collected during islanding with fault and with the presence of capacitive bank. Similar load values were
subjected to the system. From the table, the values for voltage, current and real power are consistent for all
load values subjected to the system. However, the reactive power of the system fluctuates with respect to the
load variation. With the presence of capacitive bank in the system during fault for high loading condition, it
does not give much impact to all the electrical properties. Comparison can be made between Table 8 and
Table 9.
Table 9. Comparison result collected during islanding with fault and with capacitive bank
Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR)
P=100MW
Q=10VAR
1934 309.4 897.3k -0.08945
P=100MW
Q=100VAR
1934 309.4 897.3k -0.8945
P=100MW
Q=1kVAR
1934 309.4 897.3k -8.945
P=100MW
Q=10kVAR
1934 309.4 897.3k -89.46
P=100MW
Q=100kVAR
1934 309.4 897.5k -895.5
P=100MW
Q=1MVAR
1936 309.9 900k -9017
Table 2 until Table 9 showed the comparisons between the presence and absence of fault and
capacitive bank respectively. For high loading condition, the voltage-current profile, real power and reactive
power are stable. The profiles do not show any major fluctuations and it can be seen that the system
performance is reliable and better than the performance during low loading condition.
5. CONCLUSION
This paper has presented stability check of doubly fed induction generator (DFIG) micro grid power
system. In this study, the modeling and stability assessment of doubly fed induction generator wind turbine
micro grid power system has been proposed. A comparison of voltage-current profile, real power and
reactive power of the load between low load and high load conditions has been studied. Voltage and current
profile of the system are more stable with less fluctuation by adding capacitive bank compared to without
capacitive bank. The analysis exhibits stable voltage and current profile when the capacitive bank is added to
the grid. In overall conditions of the proposed model gave valuable understanding into the stability
performance of the wind turbine equipped with a DFIG and the interaction between the wind farm and the
main system.
 ISSN: 2302-9285
Bulletin of Electr Eng and Inf, Vol. 8, No. 2, June 2019 : 367 – 374
374
ACKNOWLEDGEMENTS
The authors would like to acknowledge the Institute of Research Management and Innovation
(IRMI), Universiti Teknologi MARA, Malaysia for the financial support. This study was supported by IRMI
under the LESTARI Research Grant Scheme under the Project Code: 600-IRMI/DANA 5/3/LESTARI
(0169/2016).
REFERENCES
[1] R. L. Vasquez-Arnez, D. S. Ramos, and T. E. Del Carpio-Huayllas, “Microgrid dynamic response during the pre-
planned and forced islanding processes involving DFIG and synchronous generators,” Int. J. Electr. Power Energy
Syst., vol. 62, pp. 175–182, 2014.
[2] M. H. Ravanji and M. Parniani, “Stability Assessment of DFIG-Based Wind Turbines Equipped with Modified
Virtual Inertial Controller under Variable Wind Speed Conditions,” no. Iecon, pp. 2695–2700, 2017.
[3] T. Tamilarasi and M. K. Elango, “Analysis of impact on rotor angle stability of DFIG wind turbines employing
STATCOM,” ICACCS 2016 - 3rd Int. Conf. Adv. Comput. Commun. Syst. Bringing to Table, Futur. Technol. from
Arround Globe, 2016.
[4] A. Mohanty, M. Viswavandya, P. K. Ray, and S. Patra, “Stability analysis and reactive power compensation issue
in a microgrid with a DFIG based WECS,” Int. J. Electr. Power Energy Syst., vol. 62, pp. 753–762, 2014.
[5] L. Wang and D. Truong, "Stability Enhancement of DFIG-Based Offshore Wind Farm Fed to a Multi-Machine
System Using a STATCOM," in IEEE Transactions on Power Systems, vol. 28, no. 3, pp. 2882-2889, Aug. 2013.
[6] A. Pandey and K. A. Pandey, “Reactive Power Compensation for A Doubly Fed Induction Generator based
WECS,” Int. Conf. Innov. Information, Embed. Commun. Syst., 2017.
[7] M. Luo, “Multi-Physical Domain Modeling of a DFIG Wind Turbine System using PLECS ®,” no. 2, pp. 1–13.
[8] B. Dong, S. Asgarpoor and W. Qiao, "Voltage analysis of distribution systems with DFIG wind turbines," 2009
IEEE Power Electronics and Machines in Wind Applications, Lincoln, NE, 2009, pp. 1-5.
[9] J. Hu, Y. Huang, D. Wang, H. Yuan and X. Yuan, "Modeling of Grid-Connected DFIG-Based Wind Turbines for
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[10] A. T. Submitted, I. N. Partial, F. Of, T. H. E. Requirements, O. F. The, and D. Of, “Study of Wind Turbine Driven
Dfig Using Ac/Dc/Ac Converter a Thesis Submitted in Partial Fulfillment of,” no. 10502049.
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[12] S. F. Didactic, Electricity and New Energy Principles of Doubly-Fed Induction Generators (DFIG). 2011.
[13] S. M. Arbatsofla, A. Toloei, F. Soudagary and A. Naseri, "DFIG wind turbine control despite the uncertainties in
the model using high-order adaptive sliding," 2017 Smart Grid Conference (SGC), Tehran, 2017, pp. 1-7.
[14] Alireza Khosravi, Ali Akbar Jalali, Ehsan Sarrami, “Applied Dynamic Analysis and Robust Controller Design of a
Wind Turbine Generating Unit”, 19th International Power System Conference, Tehran, 2004.
[15] United States Patent 5289041, Speed control system for a variable speed wind turbine, Feb., 22, 1994.

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Stability check of doubly fed induction generator (DFIG) micro grid power system

  • 1. Bulletin of Electrical Engineering and Informatics Vol. 8, No. 2, June 2019, pp. 367~374 ISSN: 2302-9285, DOI: 10.11591/eei.v8i2.1430  367 Journal homepage: http://beei.org/index.php/EEI Stability check of doubly fed induction generator (DFIG) micro grid power system Ameerul A. J. Jeman1 , Naeem M. S. Hannoon2 , Nabil Hidayat3 , Mohamed. M. H. Adam4 , Ismail Musirin5 , Vijayakumar V.6 1,2,3,4,5 Faculty of Electrical Engineering, Universiti Teknologi MARA (UITM), Malaysia 6 School of Computing Science and Engineering, VIT University Chennai, India Article Info ABSTRACT Article history: Received Oct 18, 2018 Revised Nov 22, 2018 Accepted Feb 3, 2019 As of late, expanding interest of renewable energy and consumption of non- renewable energy source have prompted developing advancement of renewable energy technology, for example, wind energy. Wind energy has turned out to be one of the reliable sources of renewable energy, which requests extra transmission capacity and better methods for sustaining system reliability. As of now, doubly fed induction generator wind turbine is the most well-known wind turbine. This paper focuses on DFIG wind farm design using MATLAB/SIMULINK and also investigates the issues of the system stability of the DFIG wind turbine micro grid power system. This analysis includes the changes of voltage, current, real power and reactive power based on various conditions of the power system. Keywords: Doubly fed induction generator Renewable energy Stability System reliability Wind turbine Copyright © 2019 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: Naeem M. S. Hannoon, Faculty of Electrical Engineering, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia. Email: hannoon.naeem@gmail.com 1. INTRODUCTION Microgrids are ending up progressively alluring to consumers and all things considered later on, an incredible number of them will be introduced at customer's locales since it has a huge potential in boosting the practical development. Microgrid frameworks, when suitably arranged, can separate and reconnect a distribution utility. Microgrids contrast from conventional electrical systems by strategies for giving an unrivaled closeness between power generation and power utilize, following in performance improvement and transmission decreasing. What's more, microgrids likewise coordinate with sustainable energy, for example, wind control, sunlight based, hydro, geothermal, and biomass. Renewable energy, particularly wind energy is enormously useful for ecological, climatic, financial conditions and in addition wellbeing. These days, increment in energy demand and decrease of fossil fuels have prompted the expansion of renewable energy [1, 2]. Wind is ascending as a potential and a fundamental source of sustainable energy on account of its huge scale accessibility in diverse zones and in context of the focal points in regards to economy of power generation with wind on a huge scale [3, 4]. The utilization of wind plants is increasing exponentially from the past. Wind power generation technology has gotten overall consideration and is relied upon to play out a huge part in the anticipated energy industry. Doubly-Fed Induction Generator (DFIG), at this time is the most popular wind generator due to its abundant advantages such as high efficiency, capability of providing reactive power support and relatively small rating of power converters [5]. The DFIG wind turbine, by definition, is a wound-rotor induction generator that functions either by governing the slip rings or by the power converter interconnected with grid [6]. A DFIG wind turbine is a complex setup including diverse physical spaces immovably coordinating with each other. The electrical structure, for example, is influenced
  • 2.  ISSN: 2302-9285 Bulletin of Electr Eng and Inf, Vol. 8, No. 2, June 2019 : 367 – 374 368 by the converter's mechanical components and cooling system, together with the rotor blades, shaft and gearbox. This infers amid part selection and plan of control schemes the effect of areas on each other must be well-thoroughly measured in order to attain an overall system performance that the outline is dynamic, productive and cost effective [7]. Interconnection of microgrids is a useful method to accomplish higher usage of sustainable power source, diminish transmission losses, bring down infrastructure capital investment, and accomplish higher reliability of electricity supply. One of the sustainable sources, DFIG wind turbines have been utilized generally as of late. Aside from that, microgrid power system experiences astonishing quick changes regarding interest or generation arrays and trading actions that prevent the system operation and in addition security. At the point when wind turbines are created with huge power, a few issues emerge in associating it to control frameworks. This stability in the power system brings about the voltage and reactive power problem of the system. Voltage and reactive power control problems are substantial for nonstop case stability in power systems. Correspondingly, it is basic to upgrade the stability in a microgrid, partaking a DFIG wind turbine so as to improve the power system performance. The stability of a system identifies with its reaction to inputs or disturbances. A system which stays in a constant state unless influenced by an external action and which remains to a steady state when the external action is evacuated can be considered to be stable. There is a requirement for stability analysis to decide how shut the system is to instability and to decide the steady-state performance and transient response. Special techniques are fundamental so as to avert instability without invading grid requirements [4]. This paper presents the stability check of doubly fed induction generator (DFIG) micro grid power system. In this study, a detail analysis was conducted on the dynamic behavior gained by a system. Simulations are conducted by developing the corresponding model in MATLAB/SIMULINK. The setting for stability analysis in a DFIG wind turbine based microgrid with various cases such as during islanding, fault during islanding with and without capacitive bank. Apart from that, simulation results illustrate the efficiency of the proposed method and objectives and its effect upon the stability of the microgrid. There are main objectives for this study, namely to analyze the effect on stability during certain conditions in microgrid power system, to design a microgrid consisting of a DFIG wind farm and to propose a strategy and system that improves the performance reliability in microgrid power system. 2. MODEL DESCRIPTION OF DFIG SYSTEM 2.1. Doubly fed induction generator (DFIG) wind turbine DFIG can work in a higher wind speed range and yield or devour reactive power through the charge gave by the rotor-side converter, contrasting with conventional squirrel-cage induction generator wind turbine [8]. Basically, wind turbine driven on DFIG consists of Turbine and Drive Train, Wound Rotor Induction Generator, Wind Turbine Control, and AC-DC-AC Converter. By improving the turbine speed, DFIG permits separating most extreme vitality from the wind for low wind speeds, while restricting mechanical stresses on the turbine amid whirlwinds. The perfect turbine speed making most extreme mechanical vitality for a given breeze speed is relative to the breeze speed. In a commercial DFIG wind turbine, there are diverse kinds of energy storage components, for example, rotor mass of generator and dc-link capacitor of voltage source converter (VSC) for DFIG excitation [9]. 2.2. AC-DC-AC converter Whereas the wound rotor is fed from the Power Electronics Converter via slip rings to permit DFIG to function at a variability of speeds in response to altering wind speed, the stator is directly connected to the AC mains, Indisputably, the essential idea is to mediate a frequency converter between the variable frequency induction generator and fixed frequency grid. The DC capacitor linking stator-and rotor-side converters permits the capacity of energy from induction generator for further generation [10]. DC-link voltage must be enhanced to a level higher than the amplitude of grid line-to-line voltage with a specific end goal to accomplish full control of grid current. 2.3. Turbine and drive train The power is transmitted from the rotor to the generator through the system comprising rotor shaft, shaft-hub clamping lock, multiplication gearbox, flexible coupling and other devices in typical wind turbine drivetrain [11].
  • 3. Bulletin of Electr Eng and Inf ISSN: 2302-9285  Stability check of doubly fed induction generator (DFIG) micro grid power system (Ameerul A. J. Jeman) 369 2.4. Wound rotor induction generator Regularly, the three phase generator rotor windings are associated with external resistors through a power electronic converter. Variation in the compelling rotor resistance will bring about a variation of the generator slip, which at last influences the rotational speed. The essential purpose behind utilizing a doubly-fed induction generator is for the most part to deliver three-stage voltage whose stator frequency is steady, for example, whose stator frequency stays equivalent to the system frequency of the ac power network to which the generator is associated, in spite of contrasts in the generator rotor speed instigated by varieties of the mechanical power gave by the prime mover (wind turbine rotor) driving the generator [12]. 2.5. Wind turbine control Wind Turbine Control can start and close down turbine operation alongside facilitates the operation of numerous wind turbines in response of operating and environmental conditions. [13] expressed that a controller is composed utilizing a sliding method of the terminal to diminish the system shifting by connecting the versatile modeling theory to manage the unspecified parameters and control signal smoothing with a specific end goal to enhance behavior of system outputs in the unstructured presence of vulnerabilities. The connected powerful examination and strong controller plan for an acceptance generator unit with a breeze turbine have been talked about [14]. To streamline wind turbine task some control plans, require a strategy for evaluating the breeze speed [15]. 3. RESEARCH METHOD In this study, the assessment of stability for wind energy driven doubly fed induction generator (DFIG) is conducted. The system focuses on how the voltage-current profile at load, real power at load and reactive power at load will be affected during: a. Low Load (1MW) 1) During islanding without fault and without capacitive bank 2) During islanding without fault and with capacitive bank 3) During islanding with fault and without capacitive bank 4) During islanding with fault and with capacitive bank b. High Load (100MW) 1) During islanding without fault and without capacitive bank 2) During islanding without fault and with capacitive bank 3) During islanding with fault and without capacitive bank 4) During islanding with fault and with capacitive bank In this system, the power of wind turbine is 9MW consist of six 1.5MW connected to 25kV distribution system exports power to a 154kV grid through a 26.5km, 25-kV feeder in this system. This wind turbine system is included in the induction motor with power electronic IGBT converters. 4. RESULTS AND ANALYSIS To harness the wind power efficiently the most reliable system in the present era is grid connected doubly fed induction generator (DFIG). Therefore, it is very crucial to know how the voltage-current profile, real power and reactive power of the overall power system in order to maintain the system stability. Apart from that, the comparison is done when capacitive bank is added to compensate the power quality of the system. Thus, through the collected result, the work is classified into various conditions of simulation. In each condition, the result of the simulations are compared in order to observe the differences. Table 1 tabulates the results comparison of voltage-current profile during islanding for low load and high load. Four conditions have been considered in this study, namely (a) without fault and without capacitive bank, (b) without fault and with capacitive bank, (c) with fault and without capacitive bank and d) with fault and with capacitive bank. These results are presented in time domain for both the low load and high load. The load condition considers 1 MW, while the high load considers 100 MW. For each load condition, 2 responses are displayed to represent the voltage and current responses. The first waveform is the voltage response, while the second one is the current response. From the table, the high load connected wind turbine experiences superior performance in both the voltage and current waveforms. This phenomenon happens to all the four conditions as can be observed in the table. In high load connected to wind turbine, the performance of the system is more stable with less fluctuations. For low load connected to the wind turbine, it is observed that all the 2 conditions without the capacitive bank exhibit oscillatory response in the beginning, followed by a long-time settlement. On the other hand, with the capacitive bank connected to the system; compensation process has been accommodated.
  • 4.  ISSN: 2302-9285 Bulletin of Electr Eng and Inf, Vol. 8, No. 2, June 2019 : 367 – 374 370 This scheme has made the low load conditions settled down earlier as compared the condition without capacitive bank. Table 1. Comparison of voltage-current profile during islanding for low load and high load Condition Low Load (1MW) High Load (100MW) Without Fault and Without Capacitive Bank Without Fault and With Capacitive Bank With Fault and Without Capacitive Bank With Fault and With Capacitive Bank 3.1. Comparison data for low loading (1 MW) condition Table 2 tabulates the comparison result collected during islanding without fault and without capacitive bank. Six load conditions have been subjected to the system. The load is composite which combines the variations in active power and reactive power. The active power load is set constant worth 1 MW throughout the whole study, while the reactive power load varies from 10 VAR to 1MVAR as can be referred to the table. Table 2. Comparison result collected during islanding without fault and without capacitive bank Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR) P=1MW Q=10VAR 17.03k 27.24 10.62M -104.7 P=1MW Q=100VAR 17.03k 27.25 10.62M -1048 P=1MW Q=1kVAR 17.09k 27.35 10.68M -10.53k P=1MW Q=10kVAR 18.42k 29.46 11.16M 110k P=1MW Q=100kVAR 18.98k 30.56 14.68M -1.436M P=1MW Q=1MVAR 31.98k 74.87 18.77M -17.78M
  • 5. Bulletin of Electr Eng and Inf ISSN: 2302-9285  Stability check of doubly fed induction generator (DFIG) micro grid power system (Ameerul A. J. Jeman) 371 It is observed that, the increases from 17.03 kV to its maximum value worth 31.98 kV at the highest reactive power load. The same phenomenon occurs for current and real power. Nevertheless, the voltage and current increment do not happen at low VAR value, i.e. 10 VAR and 100 VAR. Negative values of VAR as the output imply that reactive powers are absorbed by the system. Table 3 tabulates the comparison result collected during islanding without fault and with capacitive bank. These are the results collected without fault, but capacitive bank was connected to the system. In general, the same load variations were subjected to the system. With the capacitive bank connected to the system, higher current and voltage values have been achieved as compared to the results in Table 2. This implies that the presence of capacitive bank in the system has helped increased the voltage and current I the system. The same phenomenon is experienced by the real power and reactive power in the system. Table 3. Comparison result collected during islanding without fault and with capacitive bank Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR) P=1MW Q=10VAR 149.2k 238.6 53.39M -501.3 P=1MW Q=100VAR 33.14k 53.02 56.76M -5336 P=1MW Q=1kVAR 25.74k 41.2 55.07M -51.76k P=1MW Q=10kVAR 67.41k 51.33 69.06M -652.3k P=1MW Q=100kVAR 84.76k 136.4 124.1M -12.07M P=1MW Q=1MVAR 104.1k 240.7 136.4M -135.9M The comparison result collected during islanding with fault and without capacitive bank is tabulated in Table 4. Similar load variations as those in Table 2 and Table 3 are considered in this table. The voltage and current values are not consistent. Table 4. Comparison result collected during islanding with fault and without capacitive bank Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR) P=1MW Q=10VAR 69.5k 111.2 16.28M -148.8 P=1MW Q=100VAR 69.56k 111.3 16.27M -1488 P=1MW Q=1kVAR 70.18k 112.3 16.24M -14.85k P=1MW Q=10kVAR 72.42k 115.9 12.59M -120.6k P=1MW Q=100kVAR 22.82k 36.75 16.87M -1.543M P=1MW Q=1MVAR 32.18k 75.39 73.59M -69.42M The same phenomenon also happens for both the real and reactive power values. The highest voltage and current values are experienced at P=1MW and Q=10kVAR.The system also absorbs reactive power at all the load variations as can be observed from the same table. Table 5 shows the results for voltage, current, real power and reactive power when the load is 1 MW and Q from 10 VAR to 100 MVAR. This load variation is the same as those in all the previous cases, i.e. Table 1 to Table 4. For voltage and current, the results are decreasing until 1 kVAR and increase back until 1 MVAR. Real power results do not have pattern. In general, the profiles of all the properties such as the voltage, current, real power and reactive power are not consistent.
  • 6.  ISSN: 2302-9285 Bulletin of Electr Eng and Inf, Vol. 8, No. 2, June 2019 : 367 – 374 372 Table 5. Comparison result collected during islanding with fault and with capacitive bank Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR) P=1MW Q=10VAR 34.63k 55.4 53.39M -501.3 P=1MW Q=100VAR 108.9k 174.2 56.76M -5336 P=1MW Q=1kVAR 34.35k 54.97 55.07M 51.76k P=1MW Q=10kVAR 84.29k 134.9 67.32M 646.8k P=1MW Q=100kVAR 42.93k 82.65 124.1M -12.07M P=1MW Q=1MVAR 129.3k 302 148.3M -149.2M 3.2. Comparison data for high loading (100 MW) condition The results for high loading conditions worth 100 MW are tabulated in Tables 6, 7, 8 and 9. Table 6 tabulates the comparison result collected during islanding without fault and without capacitive bank. This table shows the results for voltage, current, real power and reactive power when the load is 1 MW and Q from 10 VAR to 100 MVAR. The voltage and current values are almost consistent for all the loading conditions. The same phenomenon also happens to the real power of the system. However, the reactive power values are not consistent for all the load values. Table 6. Comparison result collected during islanding without fault and without capacitive bank Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR) P=100MW Q=10VAR 1834 293.5 807.6k -0.0787 P+100MW Q=100VAR 1834 293.5 807.6k -0.787 P=100MW Q=1kVAR 1834 293.5 807.6k -7.87 P=100MW Q=10kVAR 1834 293.5 807.7k -78.7 P=100MW Q=100kVAR 1835 293.5 807.7k -787.1 P=100MW Q=1MVAR 1835 293.7 808.6k -7881 The results for comparison during islanding without fault and with capacitive bank are tabulated in Table 7. Similar load variations are subjected to the system. From the table, the values for voltage, current and real power are consistent for all the load values. Apparently, the presence of capacitive bank has made the voltage, current and real power to be consistent due to the element of compensation process. However, the values for reactive power are not consistent due to different load values. Table 7. Comparison result collected during islanding without fault and with capacitive bank Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR) P=100MW Q=10VAR 1836 293.7 808.6k -0.07882 P=100MW Q=100VAR 1836 293.7 808.6k -0.7882 P=100MW Q=1kVAR 1836 293.7 808.6k -7.882 P=100MW Q=10kVAR 1836 293.7 808.6k -78.82 P=100MW Q=100kVAR 1836 293.7 808.7k -788.2 P=100MW Q=1MVAR 1836 293.8 809.4k -7891 The results for islanding case with fault and without the presence of capacitive bank are tabulated in Table 8. Similar load values were subjected to the system. Apparently, with fault occurrence in the system
  • 7. Bulletin of Electr Eng and Inf ISSN: 2302-9285  Stability check of doubly fed induction generator (DFIG) micro grid power system (Ameerul A. J. Jeman) 373 the voltage, current and real power of the system are consistent. Only the reactive power is not consistent. It implies that the fault occurrence has made the voltage, current and real power to be consistent. Table 8. Comparison result collected during islanding with fault and without capacitive bank Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR) P=100MW Q=10VAR 1932 309.1 895.5k -0.08931 P+100MW Q=100VAR 1932 309.1 895.5k -0.8931 P=100MW Q=1kVAR 1932 309.1 895.5k -8.931 P=100MW Q=10kVAR 1932 309.1 895.5k -89.32 P=100MW Q=100kVAR 1932 309.1 895.8k -894 P=100MW Q=1MVAR 1935 309.7 898.6k -9005 Table 8 shows the results for voltage, current, real power and reactive power when the load is 1 MW and Q from 10 VAR to 100 MVAR. For voltage, current and real power, the results are increasing. It is different for reactive power. Results for reactive power vary for all the loads. The reactive power fluctuates when different reactive load value is gradually subjected to the system. Table 9 tabulates the comparison result collected during islanding with fault and with the presence of capacitive bank. Similar load values were subjected to the system. From the table, the values for voltage, current and real power are consistent for all load values subjected to the system. However, the reactive power of the system fluctuates with respect to the load variation. With the presence of capacitive bank in the system during fault for high loading condition, it does not give much impact to all the electrical properties. Comparison can be made between Table 8 and Table 9. Table 9. Comparison result collected during islanding with fault and with capacitive bank Load Voltage (V) Current (I) Real Power (W) Reactive Power (VAR) P=100MW Q=10VAR 1934 309.4 897.3k -0.08945 P=100MW Q=100VAR 1934 309.4 897.3k -0.8945 P=100MW Q=1kVAR 1934 309.4 897.3k -8.945 P=100MW Q=10kVAR 1934 309.4 897.3k -89.46 P=100MW Q=100kVAR 1934 309.4 897.5k -895.5 P=100MW Q=1MVAR 1936 309.9 900k -9017 Table 2 until Table 9 showed the comparisons between the presence and absence of fault and capacitive bank respectively. For high loading condition, the voltage-current profile, real power and reactive power are stable. The profiles do not show any major fluctuations and it can be seen that the system performance is reliable and better than the performance during low loading condition. 5. CONCLUSION This paper has presented stability check of doubly fed induction generator (DFIG) micro grid power system. In this study, the modeling and stability assessment of doubly fed induction generator wind turbine micro grid power system has been proposed. A comparison of voltage-current profile, real power and reactive power of the load between low load and high load conditions has been studied. Voltage and current profile of the system are more stable with less fluctuation by adding capacitive bank compared to without capacitive bank. The analysis exhibits stable voltage and current profile when the capacitive bank is added to the grid. In overall conditions of the proposed model gave valuable understanding into the stability performance of the wind turbine equipped with a DFIG and the interaction between the wind farm and the main system.
  • 8.  ISSN: 2302-9285 Bulletin of Electr Eng and Inf, Vol. 8, No. 2, June 2019 : 367 – 374 374 ACKNOWLEDGEMENTS The authors would like to acknowledge the Institute of Research Management and Innovation (IRMI), Universiti Teknologi MARA, Malaysia for the financial support. This study was supported by IRMI under the LESTARI Research Grant Scheme under the Project Code: 600-IRMI/DANA 5/3/LESTARI (0169/2016). REFERENCES [1] R. L. Vasquez-Arnez, D. S. Ramos, and T. E. Del Carpio-Huayllas, “Microgrid dynamic response during the pre- planned and forced islanding processes involving DFIG and synchronous generators,” Int. J. Electr. Power Energy Syst., vol. 62, pp. 175–182, 2014. [2] M. H. Ravanji and M. Parniani, “Stability Assessment of DFIG-Based Wind Turbines Equipped with Modified Virtual Inertial Controller under Variable Wind Speed Conditions,” no. Iecon, pp. 2695–2700, 2017. [3] T. Tamilarasi and M. K. Elango, “Analysis of impact on rotor angle stability of DFIG wind turbines employing STATCOM,” ICACCS 2016 - 3rd Int. Conf. Adv. Comput. Commun. Syst. Bringing to Table, Futur. Technol. from Arround Globe, 2016. [4] A. Mohanty, M. Viswavandya, P. K. Ray, and S. Patra, “Stability analysis and reactive power compensation issue in a microgrid with a DFIG based WECS,” Int. J. Electr. Power Energy Syst., vol. 62, pp. 753–762, 2014. [5] L. Wang and D. Truong, "Stability Enhancement of DFIG-Based Offshore Wind Farm Fed to a Multi-Machine System Using a STATCOM," in IEEE Transactions on Power Systems, vol. 28, no. 3, pp. 2882-2889, Aug. 2013. [6] A. Pandey and K. A. Pandey, “Reactive Power Compensation for A Doubly Fed Induction Generator based WECS,” Int. Conf. Innov. Information, Embed. Commun. Syst., 2017. [7] M. Luo, “Multi-Physical Domain Modeling of a DFIG Wind Turbine System using PLECS ®,” no. 2, pp. 1–13. [8] B. Dong, S. Asgarpoor and W. Qiao, "Voltage analysis of distribution systems with DFIG wind turbines," 2009 IEEE Power Electronics and Machines in Wind Applications, Lincoln, NE, 2009, pp. 1-5. [9] J. Hu, Y. Huang, D. Wang, H. Yuan and X. Yuan, "Modeling of Grid-Connected DFIG-Based Wind Turbines for DC-Link Voltage Stability Analysis," in IEEE Transactions on Sustainable Energy, vol. 6, no. 4, pp. 1325-1336, Oct. 2015. [10] A. T. Submitted, I. N. Partial, F. Of, T. H. E. Requirements, O. F. The, and D. Of, “Study of Wind Turbine Driven Dfig Using Ac/Dc/Ac Converter a Thesis Submitted in Partial Fulfillment of,” no. 10502049. [11] R. Gawarkiewicz, F. Wasilczuk, and M. Wasilczuk, “Drivetrain of a Wind Turbine,” Mach. Dyn. Res., vol. Vol. 39, N, no. June, pp. 83–95, 2015. [12] S. F. Didactic, Electricity and New Energy Principles of Doubly-Fed Induction Generators (DFIG). 2011. [13] S. M. Arbatsofla, A. Toloei, F. Soudagary and A. Naseri, "DFIG wind turbine control despite the uncertainties in the model using high-order adaptive sliding," 2017 Smart Grid Conference (SGC), Tehran, 2017, pp. 1-7. [14] Alireza Khosravi, Ali Akbar Jalali, Ehsan Sarrami, “Applied Dynamic Analysis and Robust Controller Design of a Wind Turbine Generating Unit”, 19th International Power System Conference, Tehran, 2004. [15] United States Patent 5289041, Speed control system for a variable speed wind turbine, Feb., 22, 1994.