Concept of SUPER NODE.

• What is a NODE? 

➝When tow or more branches of any Electrical network are meeting at a common point then this common point is referred as a NODE.

• What is a SUPER NODE?

➝"If any ideal voltage source ( Dependent OR Independent) is connected between two Non reference node then this two Non reference node forms a Generalized Node is called as a SUPER NODE".

• Some Important Points:-

1. Super node does not have its own Voltage.
2. Super node required both Application of KVL ( Kirchhoff's Voltage law) and KCL (Kirchhoff's Current Law).
3. The Voltage inside the Super Node provide the equation which is necessary for calculation of Node Voltage.

 

 ➝Now we understand it by considering one example:

EXAMPLE:1

            Consider the Network as shown in below figure, Find the value of Vp _____ and Vq________volts.

Fig(a) Explanation of concept of SUPER NODE

Super node is combination of both KVL+KCL EQUATION

• KCL EQUATION OF SUPER NODE;

      

     Vp-10/1  + Vp/2 + Vq/3 + Vq-10/4 =0 ..........(1)

     Vp - Vq =5 .............,....(2)

Now find out Vp and Vq from Equation Number (1) & (2)............

Multiply by 12 in Equation Number (1)........

12Vp - 120 + 6Vp + 4Vq + 3Vq - 30 =0

Simplified........

18Vp + 7Vq =150 .............(3)

Now multiply 7 in Equation Number (2).........

7Vp - 7Vq = 35 ............(4)

Adding equation number (3)&(4)...........

After adding we get 

        25Vp = 185

∴ Vp = 7.4 Volt

Put value of Vp in equation Number (2).....

            5 = Vp - Vq

        ∴ Vq = 7.4 - 5

           Vq = 2.4 Volt

      ..................Thank you 🙂................