Applying Transformer Limits in Power Flow Studies Using Unconstrained Optimizations

The letter proposes a new method which analyses the states of transformers in power flow studies, by directly considering the limits of both the transformer state (e.g., minimum and maximum tap) and the control (e.g., minimum and maximum voltage). The method uses an empirically developed cost functi...

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Bibliographic Details
Published in:IEEE transactions on power systems 2018-09, Vol.33 (5), p.5805-5807
Main Authors: Bone, Gorazd, Pantos, Milos, Mihalic, Rafael
Format: Article
Language:English
Subjects:
Control charts
Control limits
Cost function
Electric potential
Load flow analysis
Mathematical model
Optimization techniques
Power flow
Power flow control limits
power flow transformer modelling
Transformers
unconstrained optimizations
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Summary:The letter proposes a new method which analyses the states of transformers in power flow studies, by directly considering the limits of both the transformer state (e.g., minimum and maximum tap) and the control (e.g., minimum and maximum voltage). The method uses an empirically developed cost function, which rapidly increases where the transformer limits are exceeded, and decreases where they are not. Unconstrained optimization techniques are used to minimize the cost function. Since the structural limits (e.g., maximum or minimum tap) are stricter than the control limits (e.g., minimum and maximum voltage), the cost function is designed so that its increase rate for exceeding control limits is lower if structural limits are exceeded. The method is developed for phase-shifting, tap-changing, and quadrature-boosting transformers, and is tested on the IEEE 300 bus system with six devices operating simultaneously.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2018.2855647