DYNAMIC BEHAVIOUR OF DFIG-BASED WIND TURBINES DURING SYMMETRICAL VOLTAGE DIPS

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    DYNAMIC BEHAVIOUR OF DFIG-BASED WIND

    TURBINES DURING SYMMETRICALVOLTAGE DIPS

    Almoataz Y. Abdelaziz, Amr M. Ibrahim, Ahmed M. Asim, Ahmed H. Abdel Razek

    Electrical Power and Machines Department, Faculty of Engineering, Ain Shams

    University, Cairo, [email protected],

    [email protected],

    [email protected],

    [email protected]

    ABSTRACT

    Recently, wind power generation has reached a significant penetration levels in some countries. This is the

    case for instance in Denmark, Spain and Germany. This imposes new challenges to the transmission systemoperators (TSOs). New grid requirements for wind generation are needed. These requirements stipulate

    that wind farms should contribute to power system control, much as the conventional power stations and

    focus on wind farm behaviour in case of grid disturbances. Isolation of wind turbines in case of voltage

    dips is not allowed anymore as low voltage ride through (LVRT) capability is required. This paper will

    discuss the dynamic behaviour of DFIG based wind turbine under severe three phase voltage dips without

    and with the usage of crowbar protection system including simulation results to verify the discussion.

    KEYWORDS

    Wind Turbine, Low Voltage Ride Through, Crowbar &DFIG

    1.INTRODUCTION

    Doubly fed induction generators (DFIG) are the most commonly used wind turbine technology

    [1-4]. It uses a wound rotor induction generator with slip rings to transmit electrical power

    between the converter system and rotor windings. Variable speed operation is obtained byinjecting a controllable voltage into the rotor at desired slip frequency. The DFIG based wind

    turbine can transmit electrical power to the grid through both the generator stator and the

    converters. When the generator operates in super-synchronous (slip < 0) mode, power will bedelivered from the rotor through the converters to the grid, and when the generator operates in

    sub-synchronous (slip > 0), the rotor will absorb power from the grid through the converters. Thegenerator slip ranges from -0.3 to 0.3, this means that maximum power transferred through the

    converters is nearly 30% of the nominal power of the generator, therefore smaller and cheaperconverters can be used compared with full size converters used with other wind turbine

    technologies [5].

    In normal grid conditions, power electronic converters enable DFIG to operate at optimal rotorspeed. It maximizes electrical power generated by controlling the active and reactive power flow

    into the grid [6].

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    In case of severe voltage dips [7-10], large transient currents are induced in the stator circuit. Dueto magnetic coupling between stator and rotor windings, large transient currents are induced in

    the rotor circuit. Such high currents could damage the converters and increase the voltage of theDC-link, therefore a protection is required. The protection of the converter is achieved by short

    circuiting the rotor circuit through a crowbar, thus protecting the converters from high rotorcurrents. Once the rotor currents are blocked from the converters, control on the DFIG is lost,thus losing the active and reactive power control on the stator of the DFIG and the machine

    operates as a typical induction generator [11-12].The aim of this paper is to provide insight and understanding about the dynamic behaviour of

    DFIG based wind turbines, its protection against overcurrent and overvoltage and its LVRTcapability.

    This paper is organized as follows. Section 2 presents configuration of DFIG variable speed wind

    turbine. Section 3 presents the dynamic model of DFIG. Section 4 describes effects of severe

    voltage dips on DFIG. Section 5 presents simulation and results. Section 6 presents conclusions.

    2.CONFIGURATION OF DFIGVARIABLE SPEED WIND TURBINE.

    A schematic diagram of DFIG wind turbine is shown in Figure 1. The AC/DC/AC converter is

    divided into two converters rotor side converter (RSC) and grid side converter (GSC) [13]. Bothconverters are voltage source converters. They use forced commutated power electronic devices

    (IGBTs) to convert from AC to DC and vice versa. A capacitor connected to the DC side of theconverter acts as a DC voltage source. A coupling inductor is used to connect the GSC to the grid.

    The rotor winding is connected to the RSC by slip rings and brushes. Both the stator and the GSCare connected to the grid through a transformer to convert low voltage into medium voltage. The

    mechanical power captured by the wind turbine is converted into electrical power by thegenerator and transmitted to the grid through the stator and the converters.

    The control system of the DFIG based wind turbine consists of three parts [14].

    Speed control which controls the electrical power reference of converter as well as of thepitch angle. RSC control which controls active and reactive power on the stator side.

    GSC control that regulates the DC-link voltage to keep it constant and can be used toinject additional reactive power to the grid.

    3.DYNAMIC MODELLING OF DFIG

    To demonstrate effects of severe voltage dips on the DFIG based wind turbine system, a detailed

    time model is used [15-16]. This model preserves stator transients. It is called the fifth order

    model.

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    Figure 1 A schematic diagram of DFIG based wind turbine

    Figure 2 Equivalent circuit of an induction generator dynamic model

    The equivalent circuit of the dynamic model is represented as in Figure 2. Stator and rotor voltageequations can be written as follows

    (1)

    (2)

    Where and represents the voltage, current and flux respectively, is the synchronous

    speed and is the rotor speed. The subscripts and refer to stator androtor respectively.

    The relation between flux and currents is given by,

    (3)

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    (4)

    Where represents the magnetizing reactance. Symbols and represent the stator and rotor

    inductances respectively, where

    (5)

    (6)

    Where and are the stator and rotor leakage inductances respectively. The electromagnetic

    torque of the generator can be calculated as follows

    (7)

    The apparent power of the stator is given by

    (8)

    The mechanical equation is as follows

    (9)

    Where represents the generator inertia and represents the mechanical torque.

    4.EFFECTS OF SEVERE VOLTAGE DIPS ON DFIG

    At normal operating conditions, there is a stator flux rotating in the air gap of DFIG. This flux is

    directly proportional to the stator voltage, if a voltage dip takes place, from equation (1), the flux

    can't change instantaneously with voltage change. A transient flux component is induced in thestator. This transient flux is a DC decaying component which depends on the time constant of the

    stator circuit and the value of the rotor current. Due to mutual coupling between rotor and statorof the DFIG, a transient emf is induced on the rotor circuit. This transient emf component is very

    large as it depends on the rotor speed [17-18].

    This large transient emf in the rotor winding saturates the RSC which leads to

    Loss of current controlRSC controls the rotor circuit current by changing output voltage of the converter. If the rotor emf

    is very high so that maximum output voltage of the converter is reached, saturation takes place

    and current control is lost. RSC can't compensate for large rotor emf. Current levels in the rotor

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    circuit increase to high values especially at the beginning of voltage dip. Unless a very oversizedconverter is used large currents will damage the semiconductor of the converter.

    Increase of DC-link voltageDue to large amount of power that the RSC absorbs, while being saturated, DC-link voltageincreases. During severe voltage dips this power can't be evacuated to the grid, because the power

    transfer capability of the GSC has dropped due to low voltage of the grid, as a result the poweraccumulates in the capacitor of the DC-link and its voltage increases.

    Crowbar is to be used to protect the system from loss of current control and increase in DC-link

    voltage, a schematic diagram of DFIG with crowbar system is shown as in Figure 3.

    The crowbar shorts the rotor winding at severe voltage dip. It is connected at the first stage of thedip when the rotor emf is at its highest level. Once the transient flux has decayed and rotor emf is

    no longer dangerous, the crowbar can be disconnected, so that the machine can resume its normal

    operation. When the crowbar is connected, it causes the rotor current to increase but this doesn't

    affect the RSC, as it's disconnected and its current is zero. This means that DFIG is not controlledanymore and it acts as typical squirrel cage induction machine. Once the crowbar is disconnectedthe RSC can resume its operation and controls the stator power [19-23].

    Figure 3 DFIG with crowbar system

    5.SIMULATION AND RESULTS

    To verify discussion in the previous section a simulation is conducted to study the electricaldynamics of DFIG based wind turbine without and with the addition of crowbar to the system.

    The simulation is carried out in MATLAB/ SIMULINK/ SimPowerSystem software [24].

    In this simulation the DFIG is subjected to a severe voltage dip of about 90% for 0.15 sec. AnEMT of DFIG is used to preserve the stator dynamics as discussed previously. Vector control is

    used for controlling both RSC and GSC. It's assumed that the DFIG produces its nominal active

    power and zero reactive power at normal conditions, also wind speed is assumed to be constantduring the simulation period. Turbine rated voltage and power are taken as base values. GSC is

    rated at 30% of the turbine rated current. GSC controller limits the GSC current to 0.5 p.u.

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    5.1. Dynamic Behaviour of DFIG without Crowbar

    A voltage dip of 90% takes place from 0.1 sec. to 0.25 sec. as shown in Figure 4.This leads to transient overcurrents in stator and rotor circuits as shown in Figure 5 and Figure 6

    respectively. Currents reach values of 6-7 p.u in both stator and rotor circuits, then decayexponentially subjecting the RSC to very large stresses which are not acceptable because they

    may destroy the RSC as shown in Figure 7.

    Figure 4 Stator voltage under 90% voltage dip

    Figure 5 Stator current without crowbar protection

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    Figure 6 Rotor current without crowbar protection

    Figure 7 RSC current without crowbar protection

    Figure 8 shows an increase in the DC-link voltage to reach a value 2-3 p.u that exceeds thecapacitor rating which is not acceptable.

    Figure 8 DC-link voltage without crowbar protection

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    GSC tries to regulate the DC-link voltage at 1 p.u, its current increases to 50% of the wind turbinerated current as shown in Figure 9, this causes a significant overload on the GSC. However, the

    GSC is not able to regulate the DC-link voltage due to low grid voltage.

    Figure 9 GSC current without crowbar protection

    Figure 10 shows active and reactive power generated by wind turbine during severe voltage dip.

    Active power drops nearly to zero due to low grid voltage. At the start of the dip DFIG inject a

    burst of reactive power into the grid and at the end of the dip (voltage recovery) it absorbs a burstof reactive power from the grid.

    Figure 10 Active and reactive power without crowbar protection

    Finally from the simulation results it is concluded that without crowbar severe voltage dips may

    result in destruction of the converter system as fast separation of DFIG is not allowed as LVRTcapability is required.

    5.2. Dynamic Behaviour of DFIG with Crowbar

    To provide LVRT capability, a crowbar is used to prevent the DFIG from being disconnected

    from the grid during severe voltage dips. The system is subjected to voltage dip of 90% as in theprevious case. Figure 11 shows the stator voltage.

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    Figure 11 Stator voltage with crowbar protection

    The crowbar will not be connected to the rotor circuit till the voltage of DC-link reaches a value

    of 1.1-1.2 p.u. When the DC voltage reaches 1.1 p.u the crowbar is connected and lasts connectedfor 100ms. At the end of the voltage dip the crowbar is connected again when the DC-link voltage

    reaches 1.1 p.u and it lasts connected for 40 ms.

    Having the crowbar connected the converter is separated from the rotor circuit. Figure 12 and

    Figure 13 show the rotor and stator currents with crowbar protection. They are quite similar to theprevious cases.

    Figure 12 Rotor current with crowbar protection

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    Figure 13 Stator current with crowbar protection

    Figure 14 shows the RSC current with crowbar protection. A sharp spike takes place till crowbaris connected then the RSC currents drop to zero during the connection of the crowbar which

    protects the RSC from over currents. After the disconnection of crowbar, rotor current returns to

    its nominal values and it is controlled by RSC. Crowbar current is shown in Figure 15.

    Figure 14 RSC current with crowbar protection

    Figure 15 Crowbar current

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    Figure 16 DC-link voltage with crowbar protection

    The effect of crowbar on DC-link voltage is shown in Figure 16, DC voltage is kept almost

    constant at 1 p.u. Figure 17 shows the grid side converter current. The GSC current will not

    saturate at 50% of rated current of the turbine which means that GSC is protected from largestresses.

    Figure 17 GSC current with crowbar protection

    Active and reactive powers are nearly similar to what happen in the previous case as shown in

    Figure 18.

    Figure 18 Active and reactive power with crowbar protection

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    6.CONCLUSION

    DFIG based wind turbines are subjected to heavy stresses during severe grid voltage dips, which

    may cause the deterioration of the converter system. Therefore, the whole system is to bedisconnected from the grid during severe voltage dips but this is not acceptable by the new grid

    requirements, which require wind turbines to have LVRT capability. A crowbar protection system

    is used to make wind turbines being able to stay connected to the grid during voltage dips whilelimiting currents and voltages levels within acceptable values.

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    Authors

    Almoataz Y. Abdelazizwas born in Cairo, Egypt, on 1963. He received the B. Sc.

    and M. Sc. degrees in electrical engineering from Ain Shams University, Cairo,

    Egypt in 1985, 1990 respectively and the Ph. D. degree in electrical engineering fromBrunel University, England in 1996. He is currently a professor of electrical power

    engineering in Ain Shams University.His research interests include the applications

    of artificial intelligence and new heuristic and evolutionary optimization techniques

    to power system protection, operation, planning and control. He has authored or co-

    authored more than 130 refereed journal and conference papers. Dr. Abdelaziz is a

    member of the editorial board and a reviewer of technical papers in several

    international journals. He is also a member in IEEE, IET and the Egyptian Sub-Committees of IEC and

    CIGRE`. Dr. Abdelaziz has been awarded Ain Shams University Prize for distinct researches in 2002 and

    for international publishing in 2011, 2012.

    Amr M. Ibrahim, was born in Egypt in 1975. He received the B.Sc., M.Sc. and Ph. D.

    degrees in electrical engineering from Ain Shams University, Cairo, Egypt in 1998,

    2003 and 2008 respectively.He is currently an assistant professor in the department of

    electric power and machines, Ain Shams University. His research interests include

    power system protection and applications of AI in power systems.