On the stochasticity of power system dynamics using Stratonovich differential

In power system dynamics, after accounting small stochastic damping coefficient, the machine swing equation can be regarded as a second-order nonlinear stochastic differential equation (SDE). The inaccurate choice of stochastic integral describing the stochastic power system dynamics will have influence on their filtering, stability and control. The power system dynamics in the Stratonovich sense can be expressed equivalently in the Itô setting by accounting additional correction term in the system non-linearity term of the stochastic differential system. This paper also develops the estimation theory of power system dynamics in the Startonovich setting as well.