Power systems are increasingly stressed by variable
and unpredictable generation from various sources. We identify
the qualitative framework of flexibility as an adequate tool
to specify requirements that allow the system to handle this
variability. An open problem is the quantification of technical
flexibility that incorporates limitations from transmission system
and component behavior in contrast to existing copper plate
supply and demand balance approaches. We develop such a
quantitative method for single components on the basis of a
priori specified reliability criteria. Our framework bases on a
combined static power flow and small signal stability analysis. In
a perturbative approach we derive sensitivity-based formula for
eigenvalue variations under nonlinear changes of steady power
flow set points. To this end, we define rigorously the terms flexibility metric and technical flexibility of single components. We
provide an algorithmic procedure for computation of tolerance
ranges of individual system components such that the overall
behavior remains reliable.
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