Time Domain Simulations of Power Systems

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:

${\dot {\boldsymbol {x}}}={\boldsymbol {f}}({\boldsymbol {x}},{\boldsymbol {y}},{\boldsymbol {p}},t)\,$

${\boldsymbol {0}}={\boldsymbol {g}}({\boldsymbol {x}},{\boldsymbol {y}},{\boldsymbol {p}},t)\,$

where ${\boldsymbol {x}}\,$ is a vector of state variables

${\boldsymbol {y}}\,$ is a vector of algebraic variables

${\boldsymbol {p}}\,$ is a vector of constant or controllable parameters

$t\,$ is time (an independent variable)

${\boldsymbol {f}}(.)\,$ are the differential equations

${\boldsymbol {g}}(.)\,$ are the algebraic equations

Related Topics

• Explicit Numerical Integrators
• Modified Admittance Matrix
• Network Interfacing
• Synchronous Machine Models