Title :
A Measured Trajectory Based Convolution Method for Calculating Trajectory Sensitivity and Its Application
Author :
Mu, Gang ; Liu, Hongbo ; Li, Ping ; Yan, Gangui
Author_Institution :
Northeast Dianli Univ., Jilin
Abstract :
Trajectory sensitivities provide a way to quantify the variation of trajectory resulting from (small) disturbances of parameters and/or initial condition. The trajectory sensitivity analysis has been applied in parameter identification, dynamic performance analysis of power system, and so on. The calculation of trajectory sensitivity is commonly based on the definition of itself. It relies on the numerical integration, is time consuming, and can not provide the sound physical understanding about the sensitivity. A convolution method for calculating trajectory sensitivity has been proposed in this paper, by use of typical measured system dynamic trajectories. Based on the analytical frequency characteristics of the measured trajectory, it has been proved that trajectory sensitivity can be expressed as the linear composition of a step response and impulse response in frequency domain. The power system example shows that the proposed method can be used to identify power system coefficients.
Keywords :
convolution; frequency-domain analysis; power system parameter estimation; sensitivity analysis; frequency domain; impulse response; parameter identification; power system coefficients; power system disturbances; power system dynamic performance analysis; step response; trajectory sensitivity analysis; trajectory-based convolution method; Control systems; Convolution; Hybrid power systems; Power system analysis computing; Power system dynamics; Power system measurements; Power system modeling; Power system stability; Power system transients; Sensitivity analysis; convolution method; identification; measured trajectory; power system; trajectory sensitivity;
Conference_Titel :
Power Engineering Society General Meeting, 2007. IEEE
Conference_Location :
Tampa, FL
Print_ISBN :
1-4244-1296-X
Electronic_ISBN :
1932-5517
DOI :
10.1109/PES.2007.386087