Abstract
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 singlephase or unbalanced threephase network.
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 singlephase or unbalanced threephase network.
Original language  English 

Qualification  Doctor of Philosophy 
Awarding Institution 

Supervisors/Advisors 

Thesis sponsors  
Award date  18 Mar 2020 
Print ISBNs  9789463841191 
DOIs  
Publication status  Published  2020 
Keywords
 Power flow analysis
 Nonlinear power flow problem,
 NewtonRaphson 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