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Block diagram reduction techniques

• 1. Block Diagram Reduction Techniques & Signal Flow Graph Presented by Mr. C.S.Satheesh, M.E., Assistant Professor, Department of EEE, Muthayammal Engineering College (Autonomous), Namakkal (Dt), Rasipuram – 637408 MUTHAYAMMAL ENGINEERING COLLEGE (An Autonomous Institution) (Approved by AICTE, New Delhi, Accredited by NAAC, NBA & Affiliated to Anna University), Rasipuram - 637 408, Namakkal Dist., Tamil Nadu, India.
• 2.
• 3. Block diagram ➢ A control system may consist of a number of components. A block diagram of a system is a pictorial representation of the functions performed by each component and of the flow of signals. ➢ The elements of a block diagram are block, branch point and summing point.
• 4. Block In a block diagram all system variables are linked to each other through functional blocks. The functional block or simply block is a symbol for the mathematical operation on the input signal to the block that produces the output.
• 5.
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• 13.
• 14. Problem 2: Using block diagram reduction technique find closed loop transfer function of the system whose block diagram is shown in fig
• 16.
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• 18.
• 20. Signal flow graph ➢Signal flow graph of control system is further simplification of block diagram of control system. ➢Here, the blocks of transfer function, summing symbols and take off points are eliminated by branches and nodes. ➢The transfer function is referred as transmittance in signal flow graph. ➢Let us take an example of equation y = Kx. ➢This equation can be represented with block diagram as below
• 21. ➢The same equation can be represented by signal flow graph, ➢where x is input variable node, y is output variable node and a is the transmittance of the branch connecting directly these two nodes.
• 22.
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• 33. 3.
• 34.
• 35. References : ➢ A.Nagoorkani, Control Systems, RBA Publications. 4/5/2021 35
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