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    Item type:Publication, Access status: without files ,
    Solving stochastic AC power flow via polynomial chaos expansion
    (IEEE, 2016)
    Mühlpfordt, Tillmann
    ;
    Faulwasser, Timm
    ;
    Hagenmeyer, Veit
    The present contribution demonstrates the applicability of polynomial chaos expansion to stochastic (optimal) AC power flow problems that arise in the operation of power grids. For rectangular power flow, polynomial chaos expansion together with Galerkin projection yields a deterministic reformulation of the stochastic power flow problem that is solved numerically in a single run. From its solution, approximations of the true posterior probability density functions are obtained. The presented approach does not require linearization. Furthermore, the IEEE 14 bus serves as an example to demonstrate that the proposed approach yields accurate approximations to the probability density functions for low orders of polynomial bases, and that it is computationally more efficient than Monte Carlo sampling.
    Publicationtype: Conference Paper
      11
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    Item type:Publication, Access status: without files ,
    Optimal load sharing of parallel compressors via modifier adaptation
    (IEEE, 2016)
    Milosavljevic, Predrag
    ;
    Cortinovis, Andrea
    ;
    Marchetti, Alejandro
    ;
    Faulwasser, Timm
    ;
    Mercangöz, Mehmet
    We discuss optimal load sharing of parallel gas compressors in the presence of plant-model mismatch. We formulate this problem as a static real-time optimization task and propose to tackle it by means of modifier adaptation. Under mild assumptions, the chosen approach guarantees optimal operating conditions upon convergence. Furthermore, we discuss how the specific problem structure can be exploited to estimate the plant gradients efficiently during process operation. Finally, we draw upon simulated case studies for two and six compressors to demonstrate the applicability and effectiveness of the proposed real-time optimization approach.
    Publicationtype: Conference Paper
      10