Because, we have to draw the (partially simplified) block diagram after each step. The block diagram reduction process takes more time for complicated systems. Step 3 − Get the overall transfer function by adding all those transfer functions. Step 2 − Repeat step 1 for remaining inputs. Step 1 − Find the transfer function of block diagram by considering one input at a time and make the remaining inputs as zero. Note − Follow these steps in order to calculate the transfer function of the block diagram having multiple inputs. Therefore, the transfer function of the system is The modified block diagram is shown in the following figure. Step 6 − Use Rule 3 for blocks connected in feedback loop. Step 5 − Use Rule 1 for blocks connected in series. Step 3 − Use Rule 1 for blocks $(G_3 + G_4)$ and $G_5$. Use Rule 4 for shifting take-off point after the block $G_5$. Step 2 − Use Rule 3 for blocks $G_1G_2$ and $H_1$. Step 1 − Use Rule 1 for blocks $G_1$ and $G_2$. Let us simplify (reduce) this block diagram using the block diagram reduction rules. ExampleĬonsider the block diagram shown in the following figure. Note − The transfer function present in this single block is the transfer function of the overall block diagram. Rule 6 − Repeat the above steps till you get the simplified form, i.e., single block. Rule 5 − If there is difficulty with summing point while simplifying, shift it towards left. Rule 4 − If there is difficulty with take-off point while simplifying, shift it towards right. Rule 3 − Check for the blocks connected in feedback loop and simplify. Rule 2 − Check for the blocks connected in parallel and simplify. Parallel to serial conversion simulink tutorial examples series#Rule 1 − Check for the blocks connected in series and simplify. Block Diagram Reduction Rulesįollow these rules for simplifying (reducing) the block diagram, which is having many blocks, summing points and take-off points. The concepts discussed in the previous chapter are helpful for reducing (simplifying) the block diagrams. Electrical Analogies of Mechanical Systems.
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