Mathematical modeling and control of DFIG-based wind energy system by using optimized linear quadratic regulator weight matrices

Bhushan, Ravi; Chatterjee, Kalyan

doi:10.1002/etep.2416

Cited by 34 publications

(31 citation statements)

References 30 publications

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“…These matrices helps to know the intrinsic dynamic behaviours of SCFCL‐based DFIG systems by observing the pattern of eigenvalues loci, damping ratio and damping frequency. For system stability analysis, eigenvalues are calculated and participation factor helps to know the dominant states caused for the oscillation in a specific eigenvalue [9]. From Fig.…”

Section: Small Stability Analysis With Scfclmentioning

confidence: 99%

Enhancing the fault ride through capability of DFIG‐based wind energy system using saturated core fault current limiter

Tripathi

Sahoo

Chatterjee

2019

J. eng.

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Section: Small Stability Analysis With Scfclmentioning

confidence: 99%

Enhancing the fault ride through capability of DFIG‐based wind energy system using saturated core fault current limiter

Tripathi

Sahoo

Chatterjee

2019

J. eng.

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“…Using this circuit, stator voltage and rotor voltage in stationary reference frame can be expressed as

\begin{matrix} lefttrue \\ V_{s} = R_{s} i_{s} + \frac{d ψ_{s}}{italicdt} \\ V_{r} = R_{r} i_{r} + \frac{d ψ_{r}}{italicdt} - j ω_{r} ψ_{r} . \end{matrix}

Stator and rotor fluxes are expressed as

\begin{matrix} lefttrue \\ ψ_{s} = L_{s} i_{s} + L_{m} i_{r} \\ ψ_{r} = L_{r} i_{r} + L_{m} i_{s}, \end{matrix}

where

{\overset{true\to}{V}}_{s}

and are the stator and rotor voltages, and ψ r are the stator and rotor fluxes, i s and i r are the stator and rotor currents, respectively; ω r is the slip frequency, L s and L r are the stator's and rotor's self‐inductances, respectively, and L m is the mutual inductance

\begin{matrix} lefttrue \\ L_{s} = L_{italicσs} + L_{m} \\ L_{r} = L_{italicσr} + L_{m}, \end{matrix}

where L σs is the stator's leakage inductance, and L σr is the rotor's leakage inductance.…”

Section: System Configurationmentioning

confidence: 99%

Enhancement of low‐voltage ride through of wind energy conversion system using superconducting saturated core fault current limiter

Tripathi

Sahoo

Chatterjee

2018

Int Trans Electr Energ Syst

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Summary For enhancing the fault ride through (FRT) capability of doubly fed induction generator (DFIG), the major concern is to remain connected with the grid for maintaining the grid code. For improving this entity, saturated core fault current limiter (SCFCL)‐based protection system has been used in the DFIG system for protecting it from the fault current during fault conditions. The main features of transformer‐type three‐limb SCFCL is that the Alternating Current (AC) coils embedded across the two limbs, and the Direct Current (DC) coils embedded across the other remaining limb. The main features of SCFCL is that the core is saturated during normal operating condition, and during the fault condition, high current generates sufficient magnetic flux in the AC coil, which drives each core out of the saturation. Because of this, SCFCL operates in high‐permeability zone and increases the impedance of the AC coil, which limits the fault current. In this paper, the above behaviour of SCFCL under normal and faulty condition has been analysed by simulated mathematical modelling and verifying it with the experimental setup. In addition to conserve good FRT performance, the fault consequences in DFIG system such as rotor current, DC link voltage, and torque fluctuations are analysed. Also, the simulation result justifies the efficacy of SCFCL compared with the other conventional schemes.

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“…(b) All system parameters and variables are in per unit referred to the stator side of the DFIG. The stator and rotor voltages and fluxes in a d‐q reference frame rotating at angular speed of ω are given by:

v_{sdq} = R_{s} i_{sdq} + j {ωψ}_{sdq} + \frac{1}{ω_{b}} \frac{d ψ_{sdq}}{dt}

v_{rdq} = R_{r} i_{rdq} + j ω_{2} ψ_{rdq} + \frac{1}{ω_{b}} \frac{d ψ_{rdq}}{dt}

\begin{matrix} lefttrue \\ ψ_{italicsdq} = L_{s} i_{italicsdq} + L_{m} i_{italicrdq} \\ ψ_{italicrdq} = L_{m} i_{italicsdq} + L_{r} i_{italicrdq} \end{matrix}

where ψ , v , and i represent the flux, voltage, and current. Subscripts s and r denote the stator and rotor quantities, respectively.…”

Section: Modeling Of Rotor Dynamics and Extraction Of Rotor Transientmentioning

confidence: 99%

Transient behavior representation, contribution to fault current assessment, and transient response improvement in DFIG-based wind turbines assisted with crowbar hardware

Rahimi

Azizi

2018

Int Trans Electr Energ Syst

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Summary This paper analytically deals with the transient behavior evaluation and crowbar hardware design for the low voltage ride‐through (LVRT) capability enhancement in doubly fed induction generator (DFIG)‐based wind turbines (WTs). The paper indeed answers the following question analytically. “What are the main criteria for choosing the crowbar resistance?” It is shown that the value of the crowbar resistance affects both the peak values and oscillations of the DFIG transient response. Therefore, the paper first analytically investigates the rotor dynamics with the crowbar hardware during the voltage dip, and then develops analytical expressions for the crowbar resistance design to meet the LVRT requirement. It is shown that selection of the crowbar resistance higher than the maximum value may deteriorate the DFIG LVRT performance. Next, contribution of the DFIG to the fault current by using the crowbar is analytically studied. Then, the impact of crowbar resistance on the damping of the DFIG transient oscillations is examined by the modal analysis and phase plots of the stator flux. At the end, the concept of rotor active impedance is introduced, the LVRT capability of the DFIG is evaluated, and the DFIG transient responses under different crowbar resistances are investigated and compared.

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Mathematical modeling and control of DFIG-based wind energy system by using optimized linear quadratic regulator weight matrices

Cited by 34 publications

References 30 publications

Enhancing the fault ride through capability of DFIG‐based wind energy system using saturated core fault current limiter

Enhancing the fault ride through capability of DFIG‐based wind energy system using saturated core fault current limiter

Enhancement of low‐voltage ride through of wind energy conversion system using superconducting saturated core fault current limiter

Transient behavior representation, contribution to fault current assessment, and transient response improvement in DFIG-based wind turbines assisted with crowbar hardware

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