Generic Structures First-Order Negative Feedback
Generic Structures: First order negative feedback loops
Generic Structures: First order negative feedback loops
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
12D-4475-2This last equation uses the simpler structure of examples 1 and 2.3. The <strong>Generic</strong> StructureNow examine the generic structure of negative feedback systems used in all 3examples. <strong>First</strong>, a model of the generic structure will be presented. All 3 examples can bemodeled using the general form of the generic structure. Then, the model equations forboth cases — using a draining fraction or using a time constant — will be examined.Lastly, the characteristic behaviors of the model will be discussed.3.1 Model Diagramstockflowgoal for stockadjustment gapFigure 5. <strong>Generic</strong> Modeldraining fractionFigure 5 shows the generic structure of a negative feedback loop. This model ofthe generic structure can model examples 1, 2, and 3 as well as similar systems.3.2 Model EquationsThe equations for the generic structure arestock(t) = stock(t – dt) + ( – flow) * dtDOCUMENT: This is the stock of the system. It corresponds to the amount ofradioactive compound, the mule population, or the number of employees of a firm in theexamples above respectively.UNIT: unitsOUTFLOWS: