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  • 7/27/2019 Review on Frequency Control of Power Systems With Wind Power Penetration51

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    c P Ss Tcg

    Review on Frequency Control of PowerSystems with Wind Power Penetration

    Yuanzhang , mb EEE Zhaui ZHANG, Gujie LI, mb EEE and in LIN

    Abstract-The ineing peneion of wind powe myinuene he fequeny iliy of powe yem. Theefoe,new onol heme e neey fo wind uine nd poweyem o uppo he fequeny onol. Cuenly, mo of hepulihed onol mehod n e lied ino 3 level, i.e.,

    wind uine level, wind fm level nd powe yem level. Thewind uine level onol enle wind uine, piully hevile peed wind geneo, o povide dynmi epone ndpowe eeve fo he pimy fequeny onol yimplemening he ineil, doop o deloding onolle. Thewind fm level onol diiue he enl onol ommndfom he yem o he lol wind uine nd enegy ogeuni fo he deied geneion. The powe yem level onoloodine wind fm wih onvenionl powe pln fo heeondy onol o eove he fequeny o he efeene vluefe hn fo he no oodinion onol e. Thi ppepeen eview on he le udie in elion o he 3levelfequeny onol of powe yem wih wind powe peneion.

    d rs-Cenl onol, oodinion onol,deloding onol, doop onol, fequeny onol, ineilonol, lol onol, powe yem, wind fm, wind uine

    I. NTRODUCTON

    IN recent years, power systems are facing more equencystabili challenges with large-scale wind power integrating

    into the grid. Synchronous generators can automatically

    regulate the speed governors to support frequency control.

    However, wind generators provide small or even no

    contributions to equency stabili. Therefore, the equency

    control schemes are required to be well designed for the

    system with wind power to maintain the equency deviating

    inside the appropriate region.

    For a equency drop event, three securi indices, i.e.,

    equency change rate, equency nadir ad steady stateequency deviation [1][2] and their impact factors are taken

    into account in this paper. The equency change rate is

    determined by the inertia of the whole system; The equency

    nadir is determined by the power disturbance, the kinetic

    energy of the rotating masses, the number of generators

    subjected to prima control and the dynamic characteristics

    of the generators, loads and controllers; The steady state

    equency deviation is determined by the droop characteristics

    This work was supportd in part by National Natural Scinc Foundationof China (50977050)

    Th authors ar om Stat K Laborato of Powr Sstms, Dpartmntof Elctrical Enginring,Tsinghua Univrsity, Bijing 100084, P China

    (-mail: zhangzs05@mailstsinghuaducn).

    978597/ /$6 EEE

    of all generators. Chinese standard [3] requires the maximum

    equency excursion of 0.2 Hz. This excursion can berelaxed to 0.5 Hz if the system capaci is small.

    The equency control of power systems is usually formed

    of prima control and seconda control [1][4]-[7]. The

    primary control is an automatic adjustment of power by thelocal control and inerial response of the generators and loads

    within 30 seconds [4][5]. The instantaneous power and power

    consumption are balanced so the equency is re-established

    by the primary control aer a equency event. However, the

    re-established equency is usually dierent om the

    reference value. In the secondary control, the speed droop

    characteristics of the generators are increased or decreased by

    the operators or automatic generation control (AG).

    Therefore, the equency can be reset to the reference value

    om 30 seconds to 30 minutes aer a equency event [4].

    This paper presents a review on the participation of wind

    power for the prima and seconda equency control.

    According to the latest studies, the control schemes can bedivided into a 3-level hierarchy, i.e., wind turbine, wind farm

    and power system level controls. On the rst wind turbinelevel for the prima control, the additional local controllers

    including inertial, droop and deloading controllers are

    installed on the power electronic converers of variable speed

    wind turbines or the pitch controllers of all kinds of wind

    turbines. The inertial control supports the equency control in

    the transient process. The droop control simulates the similar

    equency droop characteristics to that of synchronous

    generators. The deloading control provides the power reserves

    for the wind farm. On the second wind farm level, the desired

    generation for the system is achieved in the cooperation of

    central control and local control. The central controller

    receives the power command om system operators or AGC,and then distributes this command to the local controllers of

    the wind turbines ad energy storage units in the wind farm.

    On the third power system level for the seconda control, a

    better equency behavior is obtained by the coordination

    control between the AGC-controlled thermal plants and the

    wind farms. The thermal plants can be started earlier by the

    coordination controller to support the equency control and

    the equency can be recovered to 50 H faster than for the nocoordination case.

    II.ND RBNE EVEL ONTROL

    Wind turbines can be divided into xed speed and variable

    speed categories. A xed speed wind turbine generally utilizes

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    a turbine, a gearbox and a squirrel-cage induction generator to

    convert the mechanical energy into electrical energy. With a

    low normal slip of 1%-2% [8], a xed speed wind turbine can

    provide an inertial response to the equency uctuation due

    to the coupling between the rotational speed and system

    equency. Thus, the integration of xed speed wind turbinesincreases the system inertia, however, the inertial response is

    generally smaller and slower than that of synchronous

    generators [8][9].

    Variable speed wind turbines mainly refer to permanent

    magnet synchronous generators (PMSGs) and doubly fed

    induction generators (DFIGs). A PMSG contains a multi-pole

    magnet rotor and a back-to-back ACDCAC converter

    attached to the stator. Consequently the generator is fully

    decoupled om the grid. The energy is transmitted through

    the converter om the stator to the grid. DFIGs that are more

    common than the other wind turbine technologies also use

    power electronic converters, however, attached to the rotors.The rotor that supplies the AC excitation current is connected

    to the power system through the converter while the stator is

    connected directly to the power system [10].

    The power electronic converters enable the variable speed

    wind turbines to capture wind energy over a wide range of

    wind speeds, improve the power quali and regulate both the

    active and reactive power. However, the decoupling control

    isolates the rotational speed om the system frequency so the

    variable speed wind turbines oer no response to the

    equency excursion [8]. Another problem is that traditional

    wind turbines always operate at the maximum power point

    tracking (MPPT) so they store no power reserves to support

    the equency control in the steady state.In the wind turbine level control, additional controllers are

    installed on the converters of variable speed wind turbines or

    pitch controllers to relate the electromagnetic torque andequency. The wind turbines transiently support the

    equency control by implementing the inertial control which

    is obtained by the approaches of "hidden inertia emulation

    and fast power reserve emulation. The droop control simulates

    the similar equency droop characteristics to that of

    synchronous generators. The deloading control enables the

    wind turbines to operate over deloading curves instead of the

    MPPT and saves the available power as reserves by using

    pitch control (pitching) or increasing the rotational speed fromthe MPPT value (overspeeding). The power reserves can

    balance the instantaneous power and provide the permanent

    support for the long-term frequency regulation. Therefore,wind generators are able to participate in the primary

    equency control by using the wind turbine level control

    A Inertial Control

    (a) "Hidden inertia emulationThe basic reason for emulating the "hidden inertia is to

    reduce the maximum equency change rate [11].

    Synchronous generators and xed speed wind turbines can

    automatically release the kinetic energy of the rotating mass

    for a sudden equency change while variable speed wind

    2

    turbines cannot due to the decoupling operation [12].

    However, a variable speed wind turbine can emulate the

    similar inertia to that of synchronous generators by

    implementing the inertial controller as shown in Fig. 1 [13].

    P MT Pre f 1-- --- :f-" ____

    Fig. I. "Hiddn inrtia mulation for variabl spd wind turbins.

    The inertia constant is always used to express the inertial

    characteristics. The so-called "hidden inertia of variable

    speed wind turbines is estimated by [12][14]:

    JOom2

    (1)

    where S is the nominal apparent power, Onom is the nominalrotor rotational speed and J is the equivalent moment of

    inertia. The "hidden inertia is comparable to the inertia of

    conventional generators [15]. For a two-mass mechanical

    model used in this work, Jis [10][16]:J Jlr n2 +Jgen (2)

    where n is the gearbox ratio, .r is the turbine moment ofinertia and Jgen is the generator moment of inertia. For a 2 MWwind turbine, the total moment of inertia is approximately six

    times of that of the conventional generator [17]. The active

    power control signal (inertial power) Pin of the inertial controlis achieved by [12][14]:

    dsysn 2 x sysxdt

    where Osysis the system rotational speed.

    (3)

    The wind turbine can fast store or release a large amount of

    kinetic energy in the rotating mass because of the power

    electronic converter control, large moment of inertia and wide

    rotational speed range. Variable speed wind turbines can

    considerably release greater kinetic energy than xed speed

    wind turbines and conventional generators can [12][15].

    Fast power reserve emulation

    In fact, the inertial power is just a control signal and it canbe dened in dierent forms om (3) For example [5]

    dened the inertial power as a constant power of 10% nominal

    active power for 10 seconds over a wide operation range for

    an E-82 2 MW wind energy converter. The short-term

    constant power which is called "fast power reserve can

    support the equency control for a short while [15][18][19].

    The fast power reserve Potis derived om [18]:1 2 1 2ons'! 'JOro -'JOrt (4)

    where t (t < tm is the lasting time of the fast power reservesince the beginning of the equency event, O is the initialrotor rotational speed and O is the rotor rotational speedcorresponding to t Thereby the reference rotor rotational

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    speed in Fig. 2 is obtained by:

    .-{r,re/ ={ = rO2 2 C;f

    !

    (5)

    v :

    Fig. 2. Fast pr rsrv mulatin fr variabl spd ind turbins.

    The fast power reserves compensate the power loss for a

    short period and save time for other slower generators to

    participate in the equency control [18].

    B. Droop Control

    The droop control is described by the equency droop

    characteristics in Fig. 3 [20] to produce an active poweroutput change which is proportional to the equency

    deviation [14][21][22]. The equency deviation is given by:

    =Ime - Jom (6)where Imeas is the measured system equency and fom is thenominal system equency (reference equency). The active

    power control signal (active power increase) of droop control

    is obtained by:

    M=P= (7)

    wwhere R is the speed adjustment rate, P is the total activepower corresponding to Imeas and is the initial total active

    power corresponding tofom.

    m

    Fig. 3. Frquncy drp charactristics.

    One application of droop control is to be implemented in

    the converter of variable speed wind turbine as shown in Fig.

    4 [14]. However, the power increase P which is absorbed

    om the kinetic energy causes the rotational speed decrease

    due to the MPPT operation. The turbine may stall if the

    rotational speed is falling too low. This phenomenon may not

    be avoided because the wind turbine cannot provide extra

    permanent power to reduce the equency deviation [9].

    Therefore, the droop controller should be ended on time like

    the fast power reserve emulation.

    --------------------

    : D if 1___-i:. l ____________________ J

    +

    3

    P M + Pf II.:I Cv L ____ .

    Fig. 4. Drp cntrl fr variabl spd ind turbins.

    Another application is to use the droop control with the

    deloading control that is presented in Section II-C. Droop

    control does not affect much initial equency change rate but

    greatly inuences the equency nadir [16].

    Deloading ControlTraditional wind turbines always operate on the PT

    curve in Fig. 5 to extract the wind energy as much as possible.

    The deloading control enables wind turbines to operate overdeloading curves instead of the MPPT and save the available

    power as reserves for the long-term equency control. The

    deloading possibilities are obtained by pitching and

    overspeeding as shown in Fig. 5 [23]-[25]. The active power

    can be changed by regulating the pitch angle om {min to alarger value { for a constant wind speed Vw and constantrotational speed. The power can also be changed by increasing

    the rotational speed over the MPPT speed for a constant wind

    speed Vw and a constant pitch angle {min'

    p MT .

    Fig. 5. Dlading pssibilitisvrspding and pitching.

    In fact, decreasing the rotational speed below the PT

    speed (underspeeding) in Fig. 5 is as well as a deloading

    possibility. However, underspeeding may decrease the smallsignal stabili while overspeeding improves the small signal

    stability compared with pitching [23]. Meanwhile, the rotor

    has to rstly absorb extra energy om the grid and increase

    the rotational speed which may lead to a second equency

    drop. Therefore, overspeeding is preferable [24][25].

    (aJ Pitch controlTraditional pitch control is valid when the rotational speed

    is above the maximum value for a high wind speed condition

    as shown in Fig. 6 [10]. Fig. 7 shows a kind of modied pitch

    control which is widely used at present to store power reserves

    for wind farms [13][26]-[28].

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    x

    Fig. 6. Traditional pitch contrl.

    Fig. 7. Modid pitch contrl.

    The pitch control is feasible for both variable speed and

    xed speed wind turbines. The response of pitch control is

    slower compared with the system frequency dynamics because

    of the mechanical time constant of the pitch controller [11].

    ) Rotational speed controlOverspeeding is achieved by the rotational speed control in

    Fig. 8 which is more convenient than pitch control when the

    rotational speed is below the maximum value [11][23]. In

    addition, overspeeding can protect the pitch blade om wear

    and tear compared with only pitching for the low wind speed

    condition [23]. However, the wind speed is difcult to be

    accurately measured [25].

    Fig. 8. Rotational spd control for variabl spd wind turbins.

    Unlike pitch control which involves the servo time constant,

    rotational speed control is obtained by the power electronic

    converter of the variable speed wind turbine in a considerably

    faster manner [11].

    D. Discussion

    The equency change rate is decreased by the inertial

    control during the transient process. The frequency nadir is

    increased by inertial control and droop control. The steady

    state equency deviation is reduced by the deloading control

    [14][21][22][29]. Therefore, the three equency securityindics may b maintaind at th appropriat valus if th

    inertial, droop and deloading controllers are applied together.

    In the inertial and droop control, the rotational speed rstly

    decreases because the kinetic energy is released to the grid.

    Therefore, the controllers should be ended on time to prevent

    the turbine om stalling by decreasing the rotational speed

    below the lower limit.

    The loading of generators also aects the dynamic response

    of the wind turbines in the MPPT operation. For instance, [16]

    showed that DFIG could barely provide the required inertial

    response without exceeding the rotor current limit if the

    MPPT power were over 80% rated power. At rated power, thedynamic contribution is restricted because the rotor current is

    4

    already around its maximum value ad it cannot be much

    rther increased. Therefore, the deloading control is

    necessa not only to keep power reserves but also to improve

    the capabili of dynamic response.

    III. ND F EVEL ONTROLThe overall model of wind farm level control is built up

    with a hierarchical structure of central control and local

    control as shown in Fig. 9 [6][30]-[32]. The central controller

    receives the active power command PWF om the operators orAGC (secondary control). Aer that, PWF is distributed to thelocal controllers of wind turbines and energy storage system

    (ESS) units for the desired generation. The local controller

    ensures the distribution signal and sends the feedback

    information of generation capabilities to the central controller.

    Pwn'" j

    MT1Wd fam poe commad distbutio

    AESS1

    La

    Ca

    Fig. 9. Wind farm lvl control hirarchcntral control and local contrl.

    A Local Control

    The local control scheme use either a number of deloaded

    wind turbines or ESSs in a wind farm [31][32]. The deloading

    control proposed in Section II-C receives the control

    command om the wind farm in Figs. 7 and 8 for the

    seconda equency control.=GiFig. 10. Distributd ESS and aggrgatd ESS.

    There are basically two ESS congurations in a wind farm

    as shown in Fig. 10 [32], i.e., (a) one large aggregated ESS

    which is directly connected to the grid based on the exteal

    and non-wind technologies like batteries, compressed-air and

    pumped hydro [33] for the whole wind farm and (b) several

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    small distributed ESSs which are installed on the variable

    speed wind turbines by implementing the devices such as

    baeries [34], ywheels [35] and supercapacitors [36]. The

    distributed ESS on PMSG is similar to that on DFIG in Fig.

    10 and is also connected to the DC part of the ACDCAC

    converter. [32] showed that the distributed ESS was aseective as the aggregated ESS in frequency deviation

    reduction.

    The choice of ESS depends on the demands of the control

    process. From the point of view of reaction time, there are fast

    and slow energy storage devices. From the point of view of

    capacity, i.e., the length of operating time, there are short-,

    medium- and long-term energy storage devices. For equency

    control, fast and medium-term ESS is suitable [31].

    B. Central Control

    The set point PWF of system command should beappropriately allocated to wind turbines and ESS units by the

    wind farm central control as follows:

    P =PTlola + PSlola (8)where Ptta! is the total active power command for the wind

    turbines and PESStta! is the total active power command for theESS units. The simplest distribution scheme is based on

    equitable distribution, thus the output control signal for the i

    th wind turbine is obtained by [6]:

    - PMTii - tota nLPMi=

    (9)

    where PMTiis the generation ability (MPPT power) of the ith wind turbine corresponding to the wind speed. Similarly,

    the output control signal for the j-th ESS is:

    AEESjP =PSlola -k

    LAEjj=1

    where AESSj is the capacity of the j-th ESS.

    (10)

    [37] described another rough distribution method to restrain

    the power uctuation which was caused by the random wind

    speed. In short, the higher the wind speed is, the larger the

    weighting factor for the wind power output is. Therefore, the

    output control signal for the i-th wind turbine under wind

    speed Vw is given by:

    = .W(Vw)xN(Vw)

    ._1_i lola LW(Vw)xN(Vw) N(Vw) (11)where (Vw) is the number of wind turbines operating at windspeed Vw and W(Vw) is the weighting factor for each level ofwind speed, e.g., assuming that the wind speed range is 15ms in the wind farm, separate the range into 5 levels and

    dene 11 ms = , 112 s = 2, ..., 415 ms= 5. Therefore, the wind turbine under higher wind speed is

    roughly assessed to provide more power than the wind turbine

    under lower wind speed. The wind speed uctuation is not

    considered any rther in this paper.

    . Discussion

    As mentioned in Section II-B and D, the inertial control or

    5

    droop control should be ended on time to prevent the

    rotational speed om falling too low. However, there will be asudden drop of the power output when switching o the

    controller. The undesirable sudden drop may cause another

    equency reduction especially when many generators end the

    controllers together. The solution is to switch o eachcontroller at different time or by using a gradual change to

    normal operation instead of the abrupt change [14][15][22].

    The switching control can be completed by the modied wind

    farm level control too. However, the set points of switching

    time, inertial power of inertial controllers and speed

    adjustment rates of droop controllers ae considered to be the

    local control signals instead. The distribution strategy of the

    modied wind farm level control is much more complex than

    the equitable distribution ad is determined by the current

    rotational speed, the number of selected wind turbines and the

    system requirement, etc.

    Deloading of wind turbines means increased wear and tearof the blade and hub material due to the equent pitch control

    [38] as well as a generation loss because not all available wind

    energy is converted into electricity. The use of ESS reducesthe generation loss but leads to a higher investment and

    maintenance cost. In addition, no energy storage is 100%

    ecient which also cause some losses [31]. Therefore, the

    economic benets need to be optimized considering the above

    factors.

    Actually, not all the wind turbines in the wind farm are

    necessa to operate at deloading. The number of selected

    wind turbines and their deloading extent, i.e., the ratio

    between PWTttal and PESStta! in (8), are determined by the

    system operation, wind speed, ESS capabili and economybenets.

    The equency control support by ESS is limited due to the

    little capacity of ESS. ESSs may reduce the equencyexcursion for a while but cannot permanently inuence the

    steady state equency. Therefore, conventional power and

    wind power should be rectied to support the long-termequency control [31].

    The wind farm level control can send the appropriate

    commands to the local generating units from a global vision.

    In this strategy, the wind turbines can operate in the best

    condition for the equency control which cannot be obtained

    om the point of view of wind turbine level control.

    IV. P SY L CN

    So far, most of the studies are related to the wind turbine

    and wind farm level controls and few studies focus on thesystem level equency control considering the wind power

    penetration. Almost all of the relevant research on system

    level control observed the impact of increasing wind power on

    equency stability [2][8][39] or proposed the simple

    coordination control method between the wind farm and

    conventional plants [7][40].

    In this paper, the equency control is deemed to be

    composed of primary and secondary control during thedynamic and quasi-steady state processes within 30 minutes.

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    Therefore, the economic dispatch, i.e., the so-called tertiary

    control, is not taken into account.

    A Wind-Thermal Coordination Control

    The secondary control is concerned for the power system

    level control to restore the equency to 50 Hz, so the loadreference should be regulated. The inertial control increases

    the system inertia but the inertial power may mask the load

    changes for a few seconds because of the considerably

    released kinetic energy om the rotating mass. Therefore, the

    synchronous generators may delay their responses to the

    equency events [7].

    A enhanced solution as shown in Fig. 11 [7][20][40] is tolet the AGC-controlled thermal plats be aware of the

    equency control support by the wind farm as soon as

    possible. The wind farm is equivalent to an individual wind

    turbine with droop and inertial controllers. The two additional

    controllers may be enough to improve the equency stabili.

    However, the wind-thermal coordination control can achievean even better equency behavior. The droop control changes

    the power reference of the wind farm as well as communicates

    Wsys Ineial ontrol

    6

    with a selected set of AGC-controlled thermal plants through

    the coordination control. The droop power P is distributed

    by the coordination control as follows:"K =1L.el

    (12)

    (13)where Pci is the coordination control signal, Kci is theparticipation factor for each thermal plant supporting the wind

    farm. Pcimodies the AGC error which is similar to the areacontrol error (ACE).

    In this way, the thermal plants will realize the power

    imbalance since the very beginning. Therefore, the thermal

    plants will start earlier to support the equency control and

    the equency can be controlled and recovered back to 50 Hz

    faster than for the no coordination control condition.

    The wind-thermal coordination control is based on the same

    principle as the tie line bias control. However, the AGC error

    uses the coordination control signal Pci instead of the tie linepower deviation.

    Pc1

    AGC.-6fPc; _J+)_- r----Ispd I govo IPeN Lod c

    '--Wd frm

    (quvt o sg wd ub)Coodato coto AGC-cood

    ha pt

    Fig. 11. Coordination control btwn wind f and thrmal plants.

    B. Wind Power Penetration Impact on Frequency Stabili

    During a equency drop, the inertial response of xed

    speed wind turbines is much smaller and slower than the

    inertial response of synchronous generators because the

    allowable slip of 1%-2% for the wind turbine reduces the

    coupling of the rotational speed and system equency. The

    variable speed wind turbines without wind turbine levelcontrol show negligible inertial response due to the

    decoupling between rotational speed and the system equency.

    Therefore, the maximum equency change rate is sensitive to

    the amount of installed wind power. The power system with

    more wind power penetration leads to the greater equency

    change rate which has little to do with the ratio between

    variable speed and xed speed wind turbines. The equency

    nadir for the system with only xed speed wind turbines

    reaches the same level as for the no wind power condition.

    However, the equency nadir is considerably lower if more

    variable speed wind turbines are integrated into the grid. Thus,

    the maximum equency change rate and equency nadir

    events may increase in the future as the wind power

    penetration increases. The additional controllers on the

    variable speed wind turbines can effectively reduce the

    equency change rate and nadir. The benecial eect of the

    large amount of kinetic energy stored in wind turbines could

    be of signicant importance if the energy were utilized in a

    large-scale way [2][8][39].

    ONCLUSONSThis paper presents a review on the equency control of

    power system with wind power penetration. The control

    strategies in the recent studies can be separated into wind

    turbine, wind farm and power system levels.

    The wind turbine level control supports the prima

    equency control. The inertial, droop and deloading

    controllers are installed on the power electronic converters of

    variable speed wind turbines or pitch controllers of all kinds

    of wind turbines. The inertial control emulates the "hidden

    inertia or fast power reserve to slow down the equency

    change rate in the transient process. The equency nadir can

    be increased by both inertial control and droop control. Thedeloading possibilities are achieved by two approaches of

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    overspeeding and pitching. The deloading control stores the

    deloaded power as reserves for the wind farm to reduce the

    steady state equency deviation. The restrictions of the wind

    turbine level controllers are also discussed.

    The wind farm level control is composed of central control

    and local control. The central controller receives the activepower command om operators or AGe and distributes the

    command to the local controllers. The local control refers to

    the wind turbine deloading control and ESS control. The local

    control ensures the distribution signal for the desired

    generation of wind turbines and ESSs in the wind farm. The

    modied wind farm level control is also presented to

    overcome the restrictions of the droop control and inertial

    control. The factors which affect the distribution strategy are

    rther reviewed om the point of view of economy and

    technology.

    The power system level control supports the seconda

    equency control. Only the wind-thermal coordination controlmethod is presented due to the little research in relation to the

    area of system level control. The inertial power which is

    released by the inertial control may transiently mask the load

    changes and the thermal plants may delay their response to the

    equency events. However, the thermal plants can be started

    earlier to support the wind farm by the coordination control

    and the frequency can be recovered to 50 Hz faster than for

    the no coordination case. The coordination control is based on

    the same principle as the tie line bias control. The wind

    penetration impact on the equency stability is also described.

    Therefore, the equency securi indices of change rate,

    nadir and steady state deviation are maintained at the

    appropriate values by using the 3-level control methods.

    VI. ACNOLEDENTS

    This work was supported by Vestas Technology R&DSingapore Pte Ltd.

    VII. EFERENCES

    [I] J. Morrn, "rid support by powr lctrnic convrtrs of distributdgnration units, Ph.D. dissration, Dl Univrsity of Tchnology,Nthrlands, 2006.

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    VIII.ORPHES

    Yuan-zhang SUN (M99SM01) rcivd th B.S. dgr frm WuhanUnivrsity of Hydro and Elctrical Enginring, China, th M. S. dgr frmElctric Powr Rsarch nstitut (EPR), China, ad Ph.D. dgr om

    Tsinghua Univrsity, Bijing, in 1978, 1982, and 1988, rspctivly, all inlctrical nginring. H is now a chair profssor at Tsinghua Univrsity anddan of School of Elctrical Enginring at Wuhan Univrsity. His mainrsarch intrsts ar in th aras of powr systms dynamics ad contrl,voltag stability and control, ad rnwabl nrgy.

    Zhao-sui NG rcivd th B.S. dgr in lctrical nginring omTsinghua Univrsity, Bijing, P. R. China in 2009. H is now a Ph. D.candidat at Tsinghua Univrsity. His main rsarch intrsts ar rnwablnrgy and th stability analysis on powr systms.

    Guo-jie LI rcivd his B.S. and M.S. dgrs in Elctrical Enginring fromTsinghua Univrsity, P.R. China in 1989 and 1993, rspctivly. H alsorcivd Ph. D. dgr in th School of Elctrical and Elctrnic Enginring,Nanyang Tchnological Univrsity Singapor in 1999. H is now an associat

    prfssor in th Dparmnt of Elctrical Enginring, Tsinghua Univrsity, P.R. China. His currnt rsarch intrsts includ powr systm analysis andcontrol, wind powr analysis d control, and powr quality.

    Jin LIN rcivd th B.S. dgr in lctrical nginring om TsinghuaUnivrsity, Bijing, P.R. China in 2007. H is now a Ph. D. candidat atTsinghua Univrsity. His main rsarch intrsts ar rnwabl nrgy and thstability analysis on powr systms.

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