Block diagram Reduction Problems | Control System | Engineering | Mathspedia | Problem 1 |

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Block diagram Reduction Problems | Control System | Engineering | Mathspedia | Problem 1 |
Block diagram reduction is a technique used to simplify complex control systems by reducing the number of blocks in a system while maintaining the system's overall functionality. Here are the steps involved in block diagram reduction:
1)Combine series blocks: Series blocks can be combined by simply multiplying their transfer functions.
2)Combine parallel blocks: Parallel blocks can be combined by adding their transfer functions.
3)Eliminate feedback loops: Feedback loops can be eliminated by using the formula T = G / (1 + GH), where T is the transfer function, G is the forward path gain, and H is the feedback gain.
4)Move summing points: Summing points can be moved to simplify the system. For example, if two blocks feed into a summing point, the summing point can be moved to the output of the first block, and the output of the second block can be added to the output of the first block.
5)Apply block diagram algebra: Block diagram algebra can be used to simplify the system further. Some common algebraic rules include the distributive property, commutative property, and associative property.
6)Repeat steps 1-5: Continue to repeat steps 1-5 until the system is in its simplest form.

By following these steps, you can reduce a complex control system into a simpler block diagram that is easier to analyze and understand.

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