Voltage control in power systems preliminary results
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Voltage Control in Power Systems: Preliminary Results. Automatic Control Laboratory Swiss Federal Institute of Technology (ETH). T. Geyer, G. Ferrari-Trecate, M. Morari. in collaboration with. Mats Larsson. ABB. Optimal Control Problem. Subject to Dynamics (in MLD form):

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Voltage Control in Power Systems: Preliminary Results

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Voltage control in power systems preliminary results

Voltage Control in Power Systems:Preliminary Results

Automatic Control Laboratory

Swiss Federal Institute of Technology (ETH)

T. Geyer, G. Ferrari-Trecate, M. Morari

in collaboration with

Mats Larsson

ABB


Optimal control problem

Optimal Control Problem

Subject to

  • Dynamics (in MLD form):

  • Soft constraints on bus voltages :


Receding horizon control

Receding Horizon Control

  • Optimize at time t (with new measurements)

  • Only apply the first optimal move u(t)

  • Repeat the whole optimization at time t +1

  • Advantage of on-line optimization: Feedback!


Tuning of cost function

Tuning of Cost Function

  • Violation of soft constraints is penalized by:

  • Choose weight R on u such that:

    No constraint violation:nominal control:

    > ultc voltage reference

    > capacitor bank

    Constraint violation:emergency control:

    > all controls including load-shedding


Preliminary results

Preliminary Results


Conclusions

Conclusions

  • Control problem:

    • MPC is able to stabilize the load voltage V4m

      with N=2 and Ts=15sec

      without using load-shedding

    • solution time 8sec..2min (PC with 1GHz)

    • but: there remains a control error

  • Outlook:

    • observer

    • model reduction

    • reachability analysis

    • large-scale problem


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