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Design >> High-Power Design >> Sequential loop closing method
https://designers-guide.org/forum/YaBB.pl?num=1217822985

Message started by jay kumar on Aug 3^rd, 2008, 9:09pm

Title: Sequential loop closing method
Post by jay kumar on Aug 3^rd, 2008, 9:09pm

Can anyone tell me about the sequential loop closing method? I want to design controller for my MIMO system. One controller is for voltage and other one for Input Current? I want to use sequential loop closing method. I do not have any reference about this method and i do not have an idea about implementation of this method.

Title: Re: Sequential loop closing method
Post by Frank Wiedmann on Aug 3^rd, 2008, 11:49pm

This is a method for analyzing the stability of a circuit with multiple loops. It was first mentioned in section 8.8 of Hendrik W. Bode's book "Network Analysis and Feedback Amplifier Design" (see http://books.google.com/books?id=RuNSAAAAMAAJ&dq=isbn:0882752421&pgis=1) that was first published in 1945. To quote: "If a circuit is stable when all its tubes have their normal gains, the total number of clockwise and counterclockwise encirclements of the critical point must be equal to each other in the series of Nyquist diagrams for the individual tubes obtained by beginning with all tubes dead and restoring the tubes successively in any order to their normal gains." For more details about Nyquist diagrams, see e.g. http://en.wikipedia.org/wiki/Nyquist_stability_criterion.

Disabling the active elements ("tubes") here means setting the gain of their internal controlled sources to zero so that the passive impedances seen by the circuit are not changed. This is very difficult to realize with the usual transistor models because they do not offer direct access to these controlled sources.

See also the last paragraph of http://www.designers-guide.org/Forum/YaBB.pl?num=1163532257/1#1. For an overview of simulation methods for single-loop feedback circuits, see http://www.geocities.com/frank_wiedmann/loopgain.html.