FEM Modeling of Transformer

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POWER TRANSFORMER FAILURE AND CHALLENGES IN THE TRANSFORMER DESIGN Matthias Bucher, PhD Computational and Applied Electromagnetics Group Institute for Energy Technology University of Applied Sciences, Rapperswil, Switzerland Infolytica Engage User Conference, October 27, 2015

Transcript of FEM Modeling of Transformer

  • POWER TRANSFORMER FAILURE AND CHALLENGES IN THE TRANSFORMER DESIGN

    Matthias Bucher, PhD

    Computational and Applied Electromagnetics GroupInstitute for Energy TechnologyUniversity of Applied Sciences, Rapperswil, Switzerland

    Infolytica Engage User Conference, October 27, 2015

  • Agenda

    Research and development at CAEM group

    Power and drive transformers

    Challenges in the transformer design

    Application of Infolyticas MagNet and ElecNet Equivalent HF-circuit FEM-modeling Extraction of inductances and capacitances Transient time-domain solution Comparison with measurements Visualization

    Conclusions and Outlook

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  • Research and Development at CAEM Group

    Electromagnetic field simulations at low and high frequency

    Virtual prototyping and product development

    Electromagnetic analysis and design optimization

    Power and drive transformers, MV and HV switchgear, electric motors

    Measurement and testing at our high-voltage lab 800kV lighting pulse tests 150kV AC, +/- 270kV DC Partial discharges

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  • Power Transformers

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    Source: Swissgrid

    Source: ABBSource: ABB

    Source: ABB

  • Drive Transformers

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    Source: ABB

    M~~~

    ~~~

    FrequencyConverter Motor

  • Challenges in the Transformer Design

    Transient overvoltages due to

    Lightning strikes

    Switching operations in circuit breakers

    Ferro-resonances

    can cause a non-linear voltage distribution over the transformer windings, high field strengths between turns, and eventually lead to destruction of the winding insulation.

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    Sou

    rce:

    EE

    P

    HV LV

  • Challenges in the Transformer Design

    Solution: computation of the transient voltage distribution over the transformer winding to find hot spots and to improve the dielectric design of the transformer.

    Needed: equivalent electric HF-circuit of the transformer to compute turn voltages

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  • Equivalent HF-circuit

    Equivalent electric circuit of 4 turns

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  • FEM Modeling of Transformer

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    rotation axisPrimary (HV)Secondary (LV)Core

    3D 2D axis symmetric

  • FEM Modeling of Transformer

    Modeling in MagNet

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    meshing

    HVLV

    core

    HV turns modeled as individual coils

    LV foils modeled as block (2x) LV-coils are short-circuited

    M5 core steelEP04 epoxyAluminium

  • FEM Modeling of Transformer

    Modeling in ElecNet

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    Core is grounded HV turns modeled as individual

    electrodes LV foils modeled as block (one

    single electrode)

    M5 core steelEP04 epoxyAluminium

  • Extraction of Winding Inductances

    Extraction of turn inductances and magnetic couplings in MagNet1. Initialization of current in coil#1 to 1, all other turns to 02. Time-harmonic 2D simulation3. Calculation of self and mutual inductances of the transformer turns based

    on flux linkage: =

    4. Flux linkage column vector = first column of inductance matrix

    5. Repeat for the next coil

    Procedure is automatically repeated for all coils,

    which results in a symmetric inductance matrix

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  • Extraction of Winding Capacitances

    Extraction of turn capacitances and electric couplings in ElecNet1. Initialization of current in electrode#1 to 1, all other turns to 02. Time-harmonic 2D simulation3. Calculation of self and mutual capacitance of the transformer turns based

    on charges: =

    4. Charge column vector = first column of capacitance matrix

    5. Repeat for the next electrode

    Procedure is automatically repeated for all electrodes,

    which results in a symmetric capacitance matrix

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  • Matrices

    C-matrix (left) and L-matrix (left) in logarithmic scale:

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  • Transient Time-Domain Solution

    Equivalent electric

    circuit of 4 turns:

    Ordinary differential equation:

    EMTP-like

    trapezoidal

    Integration:

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    L: inductance matrixC: capacitance matrixR: resistance matrix (winding losses)G: conductance matrix (losses in dielectric)T: incidence matrixx(t): branch currents and node voltagesu(t): source voltage

  • Transient Time-Domain Solution

    Input surge voltages:

    Very fast transient voltage waveform (VFT surge):

    Standard lightning impulse (BIL surge):

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  • Comparison with Measurements

    Measurement of turn voltages of a transformer in the lab

    Surge generator connected to first turn

    Comparison of simulation

    results with measurements:

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  • Visualization of Results (Video)

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    Voltage distribution Electric field

    Turn

    vol

    tage

    [p.u

    .]

    Turn number

  • Conclusions and Outlook

    Accurate tool for lightning strike and switching surge analysis of transformer windings

    Accurate computation of winding inductances and capacitances using Infolyticas MagNet and ElecNet

    Visualization of the results based on transient simulations in ElecNet

    Future improvements: Inclusion of frequency-dependency of winding inductances and resistances Optimization of read-out routine in MagNet and ElecNet to speed up the

    simulations

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    Thank you for your attention!

    Power transformer failure and challenges in the transformer design AgendaResearch and Development at CAEM Group Power TransformersDrive TransformersChallenges in the Transformer DesignChallenges in the Transformer DesignEquivalent HF-circuitFEM Modeling of TransformerFEM Modeling of TransformerFEM Modeling of TransformerExtraction of Winding InductancesExtraction of Winding CapacitancesMatricesTransient Time-Domain SolutionTransient Time-Domain SolutionComparison with MeasurementsVisualization of Results (Video)Conclusions and OutlookFoliennummer 20