Integration of the Simplified Equation of Motion

  • Werner Leonhard
Part of the Power Systems book series (POWSYS)


With the assumptions introduced in the preceding section the motion of a single axis lumped inertia drive is described by a first order differential equation, Fig. 3.1,
$$ J\frac{{d\omega }} {{dt}} = m_M (\omega ,t) - m_L (\omega ,t) = m_a (\omega ,t), $$
which upon integration yields the mechanical transients. Several options are available for performing the integration.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Werner Leonhard
    • 1
  1. 1.Institut für RegelungstechnikTechnische Universität BraunschweigBraunschweigDeutschland

Personalised recommendations