Control Dynamics of a Doubly Fed Induction Generator Under Sub and Super-Synchronous Modes of Operation

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  • 7/23/2019 Control Dynamics of a Doubly Fed Induction Generator Under Sub and Super-Synchronous Modes of Operation

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    Abstract-- Depending on wind speed, a doubly fed induction

    generator (DFIG) based variable speed wind turbine is capable of

    operating in sub- or super-synchronous mode of operation using

    a back to back PWM converter. A smooth transition between

    these two modes of operation is necessary for reliable operations

    of the wind turbine under fluctuating wind. This paper presents

    the analysis and modeling of DFIG based variable speed wind

    turbine and investigates the control dynamics under two modes

    of operation. A battery energy storage (BESS) with a

    bidirectional dc-dc converter is added for a smooth transition

    between the modes. Mathematical analysis and corresponding

    modeling results show that the power flow in the rotor circuitunder two modes can be controlled by changing current and

    voltage phase sequence through the rotor side converter (RSC)

    and line side converter (LSC). A coordinated control among

    RSC, LSC and DC link storage system ensure variable speed and

    maximum power extraction from the fluctuating wind and reduce

    the possibility of instability around synchronous speed. Extensive

    simulations have been conducted to investigate control dynamics

    under the two modes of operation and during transitions.

    Index Terms-- DFIG, Sub-and super-synchronous, rotor side

    converter, Line side converter.

    I. INTRODUCTION

    HE contribution of renewable based distributedgeneration has been increasing dramatically into the

    power system for last two decades [1]. A variable speed

    generator based wind turbine can extract more power from the

    wind than a fixed speed wind turbine [2]. Doubly fed

    induction generator (DFIG) is a popular choice for variable

    speed wind turbine application, as it is able to generate power

    at constant voltage and frequency while the rotor speed varies.

    A decoupled control of the real and reactive power is possible

    [3, 4]. Moreover, a fraction of total system power needs to be

    controlled, resulting in the reduction of the power losses and

    the cost of the converters, filters and EMI filters [2, 5].

    Generally, the stator of the DFIG is connected to the griddirectly, and the rotor is fed through bi-directional back-to-

    This research has been financially supported by the Australian Research

    Council under ARC Linkage Grant K0014223 Integration of Distributed and

    Renewable Power Generation into Electricity Grid Systems, collaboration

    with Aurora Energy, Tasmania.

    Md. Aktarujjaman, Dr. Md Enamul Haque, Dr. Kashem Mohammad

    Muttaqi, and Prof. Michael Negnevitsky are with the School of Engineering,

    University of Tasmania, Hobart, Australia; and Prof. Gerard Ledwich is with the

    School of Engineering Systems, Queensland University of Technology, Brisbane,

    Australia, (emails: [email protected]; [email protected];

    [email protected]; [email protected]).

    back PWM converters [6]. These converters are used for

    exchanging the slip power to and from the grid for variable

    speed operation [7]. It is possible to control rotor current

    injection using fully controlled electronic converters to ensure

    effective operation in both sub- and super-synchronous modes

    [8, 9]. In sub-synchronous mode, the RSC works as an

    inverter and LSC as a rectifier and controls the power flow

    into the rotor. In the case of super-synchronous mode, RSC

    acts as a rectifier and LSC as an inverter, the direction of

    power flow is out of the rotor. In reference [1-3], maximum

    wind power extraction capability by using DFIG has been

    demonstrated. Active and reactive power control technique

    using vector controls are presented in [4-5]. Authors in [7]

    have described the ability of DFIG to compensate unbalance

    situation. The effect of commutation angle of the converters

    during sub- and super-synchronous operations is reported in

    [9-10].

    For effective control, it is necessary to understand the

    control dynamics of DFIG based variable speed wind turbine

    and converters action under sub- and super-synchronous

    modes of operation and during the transition of these two

    modes. This paper investigates the control dynamics of a

    DFIG based variable speed wind turbine during two modes of

    operation and subsequent transition period with a batterystorage.

    This paper is organized as follows: In section II, system

    configuration is presented. The model of the turbine-generator

    system is given in section III. In section IV, Operation and

    control issues in sub- and super-synchronous modes are

    discussed. Simulation and discussion are given in section V.

    Finally, conclusions are made in section VI.

    II. SYSTEM CONFIGURATION

    A typical DFIG based wind turbine system shown in Fig. 1

    consists of a wound rotor induction machine with slip rings,

    and a bidirectional back-to-back PWM converter between therotor slip-rings and the grid. The stator is directly connected

    to the grid. Both the stator and rotor windings are able to

    supply power to the grid. The direction of the power flow in

    the rotor circuit depends on the variation of the wind speed.

    The bidirectional converter controls both the direction and

    magnitude of the power flow of the machine. In sub-

    synchronous mode, the converter feeds the rotor windings

    from the grid, whereas the rotor supplies power to the grid in

    Control Dynamics of a Doubly Fed Induction Generator

    Under Sub- and Super-Synchronous Modes of Operation

    M. Aktarujjaman, StudentMember, IEEE, M.E. Haque,Member, IEEE, K. M. Muttaqi, Senior

    Member, IEEE, M. Negnevitsky,Member, IEEEand G. Ledwich, SeniorMember, IEEE

    T

    2008 IEEE.

  • 7/23/2019 Control Dynamics of a Doubly Fed Induction Generator Under Sub and Super-Synchronous Modes of Operation

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    super-synchronous mode of operation. The converter handles

    only 25% of the machine rated power, while the range of

    speed variation is 33% around the synchronous speed [6].

    To ensure variable speed operation, both converters need to

    be controlled under sub- and super-synchronous modes of

    operation.

    A Battery Energy Storage System is connected to the DC

    link of the DFIG. The BESS provides extra source of energy

    in the system as well as better DC link voltage stability. TheBESS consists of batteries and a bidirectional DC/DC

    converter with associated controller.

    III. MODELING OF TURBINE-GENERATOR SYSTEM

    A. Wind Turbine Model

    Wind turbine is a non-linear system whose output depends

    on optimal values of various parameters. Total power of a

    wind turbine can be defined as [11],3

    rwind vA5.0P = (1)

    whereis the air density, rA is the area swept by the rotor

    and v is the wind speed. The wind power output is given by

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