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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

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

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
ad