A Novel Method for Accelerating the Analysis of Nonlinear Behaviour of Power Grids using Normal Form Technique
Communication avec acte
Author
Abstract
Today's power systems are strongly nonlinear and are becoming more complex with the large penetration of power-electronics interfaced generators. Conventional Linear Modal Analysis does not adequately study such a system with complex nonlinear behavior. Inclusion of higher-order terms in small-signal (modal) analysis associated with the Normal Form theory proposes a nonlinear modal analysis as an efficient way to improve the analysis. However, heavy computations involved make Normal Form method tedious, and impracticable for large power system application. In this paper, we present an efficient and speedy approach for obtaining the required nonlinear coefficients of the nonlinear equations modelling of a power system, without actually going through all the usual high order differentiation involved in Taylor series expansion. The method uses eigenvectors to excite the system modes independently which lead to formulation of linear equations whose solution gives the needed coefficients. The proposed method is demonstrated on the conventional IEEE 9-bus system and 68-bus New England/New York system.
Files in this item
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lectureUGWUANYI, Nnaemeka Sunday;
THOMAS, Olivier; MARINESCU, Bogdan; MESSINA, Arturo Roman;
KESTELYN, Xavier (Institute of Electrical and Electronics Engineers, 2020)
The inclusion of higher-order terms in small-signal (modal) analysis augments the information provided by linear analysis and enables better dynamic characteristic studies on the power system. This can be done by applying ... -
Article dans une revue avec comité de lectureIncreasing 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 ...
-
Article dans une revue avec comité de lectureUGWUANYI, Nnaemeka Sunday;
KESTELYN, Xavier;
THOMAS, Olivier;
MARINESCU, Bogdan; WANG, Bin (Elsevier BV, 2022-07)
This paper proposes a new system-level application for monitoring out-of-step (OOS) events in power systems. As already known, amplitude-dependent frequency shift is a nonlinear phenomenon of electromechanical oscillations ... -
Article dans une revue avec comité de lectureUGWUANYI, Nnaemeka S.;
CLENET, Stephane;
KESTELYN, Xavier;
THOMAS, Olivier (Institute of Electrical and Electronics Engineers (IEEE), 2022-03)
Closed-form formulations are difficult to find when the material behavior law is nonlinear. A linear approximation, on the other hand, has a very narrow range of validity. In this communication, the Normal Form (NF) method ... -
Article dans une revue avec comité de lectureTIAN, Tian;
THOMAS, Olivier; AMANO, Hiroyuki; MESSINA, Arturo Roman;
KESTELYN, Xavier (Institute of Electrical and Electronics Engineers, 2018)
The inclusion of higher-order terms in small-signal (modal) analysis has been an intensive research topic in nonlinear power system analysis. Inclusion of second-order terms with the method of normal forms (MNF) has been ...