How to build Signal Flow Graph?
Let’s start building of an new signal flow graph with an algebraic equation, it will help us to understand the complex graphs and how electronics engineers use this in Control System.
Things to remember: While calculating the result we use the node value (like: y1, y2, y3…) and multiply that with the gain (a, b, c). The value of the node is the resultant value that is obtained by adding both values of a branch to another node.
Here “y1, y2, y3, y4, y5, y6” are the nodes, and “a, b, c, d, e, f, g” are the gains in the Signal Flow Graph respectively.
Equations:
y2 = ay1, y3 = y2b + y5g, y4 = y3c + y2f, y5 = y4d and y6 = y5e
Here we will create the Signal Flow Graph step by step, you can also check the given image below.
- Step1: Create the first loop, and required branches with the y2 and y4 equation.
- Step2: Create the second loop, and don’t forget the directions with the y3 equation, we have to be careful with the directions. Give directions according to the equations.
- Step3: Create the main branch with directions, and connect all the nodes with branches.
- Step4: Now we have to combine the whole structure and we will get the whole Signal Flow Graph, with proper notations and directions.
Signal Flow Graph from Equations
Basic Elements of Signal Flow Graph
Signal Flow Graphs are a crucial component of control systems. Furthermore, the control system is one of the most significant subjects in Electronics. It is primarily covered in the sixth semester of the B.Tech syllabus, though individual universities may alter it based on their syllabus hierarchy. To understand Signal Flow Graph let’s understand the Control System first, then we will dive into the main topic. When we put some inputs into a particular electronic device, it computes the signal or data and results in an output, this is what a Control System does.
A similar process is used with the Signal Flow Graph. Engineers can quickly compute and comprehend how the system operates by inserting the signal at one end and adding electronic devices in between to compute data using algebraic equations.
Table of Content
- What is a Signal Flow Graph?
- Basic Elements of Signal Flow Graph
- How to build Signal Flow Graph?
- Mason Gain Formula with Example
- Signal Flow Graph from Block Diagram
- Applications of SFG
- Advantages and Disadvantages of SFG
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