The power system currently has the problem that transient steady-state low-frequency oscillations after the power system suffers from small disturbances will affect the normal operation of the power grid. This paper proposes a model analysis of engineering mathematics for the power system’s small-disturbance transient low-frequency oscillations. First, this paper constructs the mathematical model and simplified model of the power system. Next, this paper calculates the initial steady state of the model and builds a linearized model. Then small disturbances are added to the model in order to simulate the transient steady-state process of a single-machine infinite-bus system under real conditions. Finally, the power system stabilizer (Power system stabilizer PSS) is designed through model analysis. Compared the transient steady-state process the PSS isn’t installed and the PSS is installed in the singlemachine infinite power system, we can get experimental results, which show that the power system can obtain a new steady state after receiving small disturbances and eliminating small disturbances in time. At the same time, the installation of PSS can effectively increase the stability of the power system and the tolerance for the existence of interference.
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