English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We propose the application of occupation measure theory to the classicalproblem of transient stability analysis for power systems. This enables thecomputation of certified inner and outer approximations for the region ofattraction of a nominal operating point. In order to determine whether apost-disturbance point requires corrective actions to ensure stability, onewould then simply need to check the sign of a polynomial evaluated at thatpoint. Thus, computationally expensive dynamical simulations are only requiredfor post-disturbance points in the region between the inner and outerapproximations. We focus on the nonlinear swing equations but voltage dynamicscould also be included. The proposed approach is formulated as a hierarchy ofsemidefinite programs stemming from an infinite-dimensional linear program in ameasure space, with a natural dual sum-of-squares perspective. On thetheoretical side, this paper lays the groundwork for exploiting the oscillatorystructure of power systems by using Hermitian (instead of real) sums-of-squaresand connects the proposed approach to recent results from algebraic geometry.

Transient Stability Analysis of Power Systems via Occupation Measures