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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

Subject to

- Dynamics (in MLD form):
- Soft constraints on bus voltages :

- 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!

- 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

- 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

- MPC is able to stabilize the load voltage V4m
- Outlook:
- observer
- model reduction
- reachability analysis
- large-scale problem