# Time Domain Simulations of Power Systems

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In time domain simulations of power systems, a dynamic model is defined as any model that can be described by a set of differential-algebraic equations (DAE), commonly presented in the following form:

where is a vector of state variables

- is a vector of algebraic variables
- is a vector of constant or controllable parameters
- is time (an independent variable)
- are the differential equations
- are the algebraic equations