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 Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\boldsymbol {x}}\,} is a vector of state variables

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\boldsymbol {y}}\,} is a vector of algebraic variables

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\boldsymbol {p}}\,} is a vector of constant or controllable parameters

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

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\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