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@ARTICLE{Dinkelbach:903017,
      author       = {Dinkelbach, Jan and Schumacher, Lennart and Razik, Lukas
                      and Benigni, Andrea and Monti, Antonello},
      title        = {{F}actorisation {P}ath {B}ased {R}efactorisation for
                      {H}igh-{P}erformance {LU} {D}ecomposition in {R}eal-{T}ime
                      {P}ower {S}ystem {S}imulation},
      journal      = {Energies},
      volume       = {14},
      number       = {23},
      issn         = {1996-1073},
      address      = {Basel},
      publisher    = {MDPI},
      reportid     = {FZJ-2021-04746},
      pages        = {7989 -},
      year         = {2021},
      abstract     = {The integration of renewable energy sources into modern
                      power systems requires simulations with smaller step sizes,
                      larger network models and the incorporation of complex
                      nonlinear component models. These features make it more
                      difficult to meet computation time requirements in real-time
                      simulations and have motivated the development of
                      high-performance LU decomposition methods. Since nonlinear
                      component models cause numerical variations in the system
                      matrix between simulation steps, this paper places a
                      particular focus on the recomputation of LU decomposition,
                      i.e., on the refactorisation step. The main contribution is
                      the adoption of a factorisation path algorithm for partial
                      refactorisation, which takes into account that only a subset
                      of matrix entries change their values. The approach is
                      integrated into the modern LU decomposition method NICSLU
                      and benchmarked against the methods SuperLU and KLU. A
                      performance analysis was carried out considering benchmark
                      as well as real power systems. The results show the
                      significant speedup of refactorisation computation times in
                      use cases involving system matrices of different sizes, a
                      variety of sparsity patterns and different ratios of
                      numerically varying matrix entries. Consequently, the
                      presented high-performance LU decomposition method can
                      assist in meeting computation time requirements in real-time
                      simulations of modern power systems.},
      cin          = {IEK-10},
      ddc          = {620},
      cid          = {I:(DE-Juel1)IEK-10-20170217},
      pnm          = {1122 - Design, Operation and Digitalization of the Future
                      Energy Grids (POF4-112)},
      pid          = {G:(DE-HGF)POF4-1122},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000735127300001},
      doi          = {10.3390/en14237989},
      url          = {https://juser.fz-juelich.de/record/903017},
}