How Does Moving the Summation Block Affect the Equation in Control Systems?

In summary, moving the summation (with H3) before G1 will cause the entire result of the summation block to be multiplied by G1, not just one of the terms. This means that the expression will be (V1-V3*H3)*G1, which will change as G1 changes.
  • #1
LauraMorrison
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Screen Shot 2014-12-11 at 18.12.51.png

Hi there,

I am struggling to understand how moving the summation (with H3) to before G1 will cause H3 to have to be divided by G1. I tried writing down how the equations would work to make sense of it but I still can't see how it works out.

Please can someone explain this to me?

Thanks,
Laura Morrison
 
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  • #2
If you move the summation block backwards, then the ENTIRE result of the summation block will be multiplied by G1, not just one of the termsyou are multiplying V3 by H3, then subtracting it from V1*G1, so your expression looks like
V1*G1-V3*H3

notice how the V3*H3 term is completely independant of the value of G1.

If you move the summation block before G1, then the expression will be

(V1-V3*H3)*G1 which is also V1*G1-V3*H3*G1

notice how the second term will change as G1 changes.

make sense?
 

1. What is block diagram manipulation?

Block diagram manipulation is a method used in systems analysis and control engineering to simplify complex systems by breaking them down into smaller, more manageable blocks. This allows for easier analysis and control of the system.

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Using block diagram manipulation can help to identify and eliminate unnecessary components in a system, making it more efficient and cost-effective. It also allows for easier troubleshooting and modification of the system.

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Block diagram manipulation is commonly used in a variety of industries, such as aerospace, automotive, and manufacturing. It is used to design and analyze complex systems, such as aircrafts, automobiles, and production lines.

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While block diagram manipulation can be a useful tool, it is not always applicable to every type of system. It may not be effective in analyzing nonlinear systems or systems with time-varying parameters. In these cases, other methods, such as simulation, may be more suitable.

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