Quasistationary Library

Description

The Quasistationary library addresses the analysis of electrical circuits with purely sinusoidal voltages and currents. The following are the main characteristics.

 • Only pure sinusoidal voltages and currents are taken into account, higher harmonics are not considered.
 • Electrical transients are neglected.
 • The electrical components are strictly linear.
 • The angular frequency $\mathrm{\omega }$ of the voltages and currents of a circuit is determined from a reference angle $\mathrm{\gamma }$ by means of $\mathrm{\omega }=\stackrel{.}{\mathrm{\gamma }}$.
 • The reference angle $\mathrm{\gamma }$ is not a global quantity, it propagates through the connector; this allows independent circuits with different frequencies to be simulated in one model.
 • The connectors contain the real and the imaginary part of the voltage and the current RMS phasors.

Phasors

 • The purely sinusoidal voltage $v={V}_{\mathrm{pk}}\mathrm{cos}\left(\mathrm{\omega }t+\mathrm{\phi }\right)=\sqrt{2}{V}_{\mathrm{rms}}\mathrm{cos}\left(\mathrm{\omega }t+\mathrm{\phi }\right)$ in the time-domain is represented by a complex rms phasor $\mathrm{\nu }={V}_{\mathrm{rms}}\mathrm{exp}\left(j\mathrm{\phi }\right)$, where $j$ is the imaginary unit.

Libraries

 Library Description Quasistationary electrical induction machines based on space-phasor theory Quasistationary multiphase components Quasistationary single phase components