Frequency domain analysis has been widely adopted for the study of the small signal stability of the power system. The frequency domain approach includes the linearization of the system to obtain a linear model as well as the system matrix of which the eigenvalues can be calculated to determine the system stability. However, we often have high order of system matrix and thus it will be undesirable to calculate and analyze all the system eigenvalues. This paper is to explore the problem of small signal stability for the shipboard electric power system and the main purpose is to find out the worst-damped mode of system eigenvalues and thus to alleviate the effort for computing and analyzing all the system eigenvalues. A sample shipboard power system is taken as the study system. The worst-damped mode of system eigenvalues under different operating conditions are calculated for fast analysis and comparative investigations of the system small signal stability

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