Mathematical formulations and algorithms for fast and robust power system simulations

Baljinnyam Sereeter

Research output: ThesisDissertation (TU Delft)

111 Downloads (Pure)


During the normal operation, control and planning of the power system, grid operators employ numerous tools including the Power Flow (PF) and the Optimal Power Flow (OPF) computations to keep the balance in the power system. The solution of the PF computation is used to assess whether the power system can function properly for the given generation and consumption, whereas the OPF problem provides the optimal operational state of the electrical power system, while satisfying system constraints and control limits.
In this thesis, we study advanced models of the power system that transform the physical properties of the network into mathematical equations. Furthermore, we develop new mathematical formulations and algorithms for fast and robust power system simulations, such as PF and OPF computations, that can be applied to any balanced single-phase or unbalanced three-phase network.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Delft University of Technology
  • Vuik, C., Supervisor
  • Witteveen, C., Supervisor
Thesis sponsors
Award date18 Mar 2020
Print ISBNs978-94-6384-119-1
Publication statusPublished - 2020


  • Power flow analysis
  • Nonlinear power flow problem,
  • Newton-Raphson method
  • Power mismatch formulation
  • Current mismatch formulation
  • Optimal Power Flow problem
  • Interior Point Method
  • Linear power flow problem
  • Unbalanced distribution networks
  • Numerical analysis
  • Krylov subspace methods


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