![]() ![]() ||Gamma~.sub.p~ = a test point chosen inside the. The exponent |P,sub.s~ is introduced to account for the general case where either the outside or the inside of the stability circle corresponds to the stable region. Therefore, the input alternative stability factor can be defined as From straightforward geometric considerations, it can be seen that this condition is met if the magnitude of the difference vector between Cs and ||Gamma~.sub.s~ is greater than Rs + ||Delta~sub.s~. |Delta~ = |S.sub.11~|S.sub.22~-|S.sub.12~|S.sub.21~įor this circuit to be stable, the source reflection coefficient ||Gamma~.sub.s~, with any associated uncertainty ||Delta~.sub.s~, must lie outside the circle. The vector to the center point of the stability circle is given by|1~ For simplicity purposes, it is assumed temporarily that the stable region is outside of the circle. Alternative Stability Factorįigure 1 shows a Smith chart and source plane stability circle, including the source reflection coefficient with uncertainty radius ||Delta~.sub.s~ and other parameters of interest. An alternative stability factor |K.sub.A~ is presented that provides a definitive indication of stability and permits the design engineer to concentrate stability circle investigations on those frequency ranges where further insight is needed. This process can be tedious, particularly since k tends to predict false alarms, that is, frequencies at which the network is not unconditionally stable, but is in fact stable when operated within the range of expected source and load reflection coefficients. That include the input stability circle in the S-plane and the output stability circle in the. Send the moderators a message and we can unblock it as soon as possible.Stability is an important consideration when designing an amplifier.|1-3~ Both the overall amplifier and each individual stage must be determined to be stable.|4,5~ Unless the traditional stability factor|6~ k in conjunction with|4~ |B.sub.1~ indicates that a network is unconditionally stable, and both a passive source and load are expected, stability circles must be computed.|2~ These circles are then displayed simultaneously with the source and load reflection coefficients. tionally stable with stability circles in the Smith Chart. If the problem is truly an engineering problem, we'll allow it, but fixing your laptop or a cracked LCD screen doesn't qualify.ĭo not post Discord links, surveys, or job postings (with the exception of the monthly job post).Ĭan't find your submission? It was probably caught by reddit's spam filters. Stability circles are defined by two parameters: the radius, r, and the center vectou, Cv. Tech support help can be found in /r/gadgets. the unity radius circle of the Smith Chart is in the stable region. ![]() If you have specific, targeted questions regarding homework, we will help you out only if you have provided some beginning work. Power, electronics, electromagnetics, semiconductors, software engineering, embedded systems - all topics relevant to this field, professional or academic. Discuss anything related to the field of Electrical and Computer Engineering. ![]()
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