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Quantitative Description of Space-time Distribution Features of Dynamic Frequency Responses

ZHANG Heng-xu,LIU Yu-tian (School of Electrical Engineering,Shandong University,Jinan 250061,Shandong Province,China)  
Due to geographically uneven distribution of transmission corridors,parameters difference among different generators and their controllers,and various load characteristics in different zones,the dynamic frequency responses of large interconnected power system show notable space-time distribution features.In order to facilitate the discussions,the definitions of observation space,response time and linear changing scope were presented.In observation space,a method was proposed to quantitatively describe these space-time distribution features.Five variables were defined and calculated based on the frequency dynamic processes in observation space,including the mean changing rate of frequency just after disturbance,the response time delay to disturbance,the maximum frequency excursion and corresponding time delay,and the damping ratio of dominant frequency oscillation mode.With the proposed method,a space-time distribution matrix was calculated,which could clearly describe the characteristics of macroscopic dynamic behaviors of frequency by microscopic variables.The potential applications of the space-time distribution matrix were discussed,and an example was given to show how to estimate disturbance locations based on the matrix.Digital simulations were done with North China interconnected power system,demonstrating the validity of the proposed method.
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