Block Diagram Reduction Calculator Page

the fraction with numerator cap G open paren s close paren and denominator 1 minus cap G open paren s close paren cap H open paren s close paren end-fraction Moving Points:

For extremely complex diagrams (nested loops with multiple forward paths), the calculator should implement Mason’s Gain Formula: [ T = \frac\sum_k=1^n P_k \Delta_k\Delta ] Where ( \Delta = 1 - \sum L_i + \sum L_i L_j - ... ) block diagram reduction calculator

For blocks receiving the same input and feeding into the same summing junction, their gains are added or subtracted ( ) depending on the junction's signs. Feedback Loop Elimination: A standard feedback loop with forward gain and feedback gain is reduced to a single block: Negative Feedback: the fraction with numerator cap G open paren

in simplified rational form.