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Durham e-Theses
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Secure Stochastic Unit
Commitment in Low Rotational
Inertia Power Systems With The
Inclusion of Frequency Stability

Commitment in Low Rotational
Inertia Power Systems With The
Inclusion of Frequency Stability
Doctoral thesis, Durham University.

PDF - Accepted Version
Available under License Creative Commons Public Domain Dedication CC0 1.0 Universal.



This thesis work studies the Unit Commitment (UC) problem from a low-rotational
inertia power system perspective. The novel framework used to approximate the
non-linear term of the Frequency Nadir into a linear form is the separable programming
technique. It has been manifested that using auxiliary variables that
guarantee an special order set 2 (SOS2) condition, we can approximate into linear
such non-linear term into the UC problem. Furthermore, we have included a
fast-screening contingency ranking algorithm that takes into account the reliability
data of the power system. This modelling is known as the Reliability Performance
Index (RPI). This index can serve in addition to the implementation of Optimal
Power Flow (OPF) studies of simple load flow studies using the scheduling results
of the UC. The strength of this index is that it encapsulates the probabilistic
behaviour of a contingency, and the severity of it at the same time, yielding a different
contingency ranking when it is compared with traditional contingency ranking
approaches. The uncertainty that renewable energy sources (RES) bring into the
power system operations planning analysis, specifically the UC problem, is addresed
via a technique known as stratified sampling. With this approach, we generate the
scenarios to include into a stochastic framework of UC. Moreover, we modelled the
traditional deterministic UC into a stochastic framework, specifically following a
two-stage stochastic unit commitment approach (TSSUC). Under this practice, we
ensure that the frequency stability constraints were enforced into a stochastic framework
as well. The results indicate that it is possible to use a stochastic modelling of
the frequency stability constraints using separable programming for the first time,
without the need to perform pre-processing activities to include them into the UC
modelling. The concept of value of information is included in this stochastic UC
analysis. The results indicate the cost of the available information when making
a commitment decision regarding the generation fleet in the power system. It was
seen as well that it is possible to include a virtual inertia response in the scheduling,
and this helps to alleviate a potential loss of largest in-feed in the system.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Keywords:frequency stability, low-rotational inertia systems, mathematical programming
Faculty and Department:Faculty of Science > Engineering, Department of
Thesis Date:2021
Copyright:Copyright of this thesis is held by the author
Deposited On:27 Oct 2021 11:27

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