Nonlinear Power Flow Control Design by Rush D. Robinett III & David G. Wilson

Author:Rush D. Robinett III & David G. Wilson
Language: eng
Format: epub
Publisher: Springer London, London

Fig. 6.29Decoupled SISO control van der Pol systems: stable phase plane, power flow and energy responses

Fig. 6.30Decoupled SISO control van der Pol systems: unstable position response

Fig. 6.31Decoupled SISO control van der Pol systems: unstable phase plane, power flow, and energy responses

The neutral stability condition for each SISO system is defined by

This is demonstrated through numerical simulation with the following controller gain settings: , respectively. These results are shown in Fig. 6.32 for the positions. Limit cycles and power flow partitioned into dissipation and generation are shown for x 1, x 2, and x 12. Once again, the dissipation and generation are balanced after the transients settle out. x 1 was started inside the limit cycle and generates power to move onto the limit cycle, and x 2 was started outside the limit cycle and dissipates power to move onto the limit cycle (see Fig. 6.33). The total energy (left) and power flow (right) for x 12 are presented in Fig. 6.34.

Fig. 6.32Two-body dynamically neutral stability decoupled control van der Pol system

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.