Incorporation of hard excitation limits into power system normal form analysis

2009 ◽  
Author(s):  
R. J. Betancourt ◽  
J. Arroyo ◽  
E. Barocio ◽  
S. Vazquez ◽  
A. R. Messina
Keyword(s):  
Normal Form ◽  
Power System ◽  
Form Analysis ◽  
Hard Excitation

scholarly journals Power System Nonlinear Modal Analysis Using Computationally Reduced Normal Form Method

Energies ◽  
2020 ◽  
Vol 13 (5) ◽  
pp. 1249 ◽  
Author(s):  
Nnaemeka Sunday Ugwuanyi ◽  
Xavier Kestelyn ◽  
Bogdan Marinescu ◽  
Olivier Thomas
Keyword(s):  
Normal Form ◽  
Power Systems ◽  
Power System ◽  
Modal Analysis ◽  
Computation Time ◽  
Approximate Model ◽  
Polynomial Coefficients ◽  
Normal Form Method ◽  
Nonlinear Modal Analysis ◽  
The One

Increasing nonlinearity in today’s grid challenges the conventional small-signal (modal) analysis (SSA) tools. For instance, the interactions among modes, which are not captured by SSA, may play significant roles in a stressed power system. Consequently, alternative nonlinear modal analysis tools, notably Normal Form (NF) and Modal Series (MS) methods are being explored. However, they are computation-intensive due to numerous polynomial coefficients required. This paper proposes a fast NF technique for power system modal interaction investigation, which uses characteristics of system modes to carefully select relevant terms to be considered in the analysis. The Coefficients related to these terms are selectively computed and the resulting approximate model is computationally reduced compared to the one in which all the coefficients are computed. This leads to a very rapid nonlinear modal analysis of the power systems. The reduced model is used to study interactions of modes in a two-area power system where the tested scenarios give same results as the full model, with about 70% reduction in computation time.

scholarly journals Normal form analysis of integrable Hamiltonian systems

1991 ◽  
Vol 153 (2-3) ◽  
pp. 101-104 ◽  
Author(s):  
R.C. Miranda Filho ◽  
R.F.S. Andrade
Keyword(s):  
Normal Form ◽  
Hamiltonian Systems ◽  
Integrable Hamiltonian Systems ◽  
Form Analysis
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