Takaitaccen Nodidi a Dambuɗar Karamin Sifa

Nodal Analysis na Takaice

Nodal analysis shine wata tarihi na biyan wasu sauyin kabilu a cikin jami'ar kabilu da ake amfani da voltage na nodes kamar muhimman bayanai. Nodal Analysis ta zama Node-Voltage Method.
Wasu Muhimman Abubuwa na Nodal Analysis sun hada da

• Nodal Analysis ta shafi aiki a kan ina amfani da Kirchhoff’s Current Law (KCL).

• Ko da 'n' nodes za a gane 'n-1' tasa mai sauƙi don yaɗa.

• A nan 'n-1' tasa za a samun duka voltage na nodes.

• Miyanci na nodes da ba suka duba reference ba ita ce maimaita tasa mai sauƙi da za a samun.

Abubuwan Nodes a Nodal Analysis

• Non Reference Node – Wannan shine node da take da voltage na musamman. misali, Node 1 da Node 2 ne Non Reference nodes

• Reference Node – Wannan shine node da take daidaita da duk node masu. Ana kiran wannan Datum Node.

Abubuwan Reference Nodes

1. Chassis Ground – Wannan abubuwan reference node shine common node da ke amfani da ita a kan waɗannan circuits.
   

2. Earth Ground – Idan an amfani da potential na Earth a kan circuit maka ana kiran wannan abubuwan reference node Earth Ground.

Solving of Circuit Using Nodal Analysis

Basic Steps Used in Nodal Analysis

1. Zabi node kamar reference node. Samun voltages V1, V2… Vn-1 don duk nodes da ba suka duba. Duk voltages suna daidaita da reference node.

2. Amfani da KCL zuwa duk non reference nodes.

3. Yana amfani da Ohm’s law don nuna currents na branches a cikin voltages na nodes.

Node Yana haɗa da current yana ci gaba daga hanyar da take da pressure da kyau zuwa hanyar da take da pressure da yawa a resistor. Saboda haka, current yana nufin hakan

IV. Ba da amfani da Ohm’s Law samu ‘n-1’ tasa mai sauƙi a cikin voltages na nodes da resistances.

V. Zaɓe ‘n-1’ tasa mai sauƙi don samun voltages na nodes da samun voltages na nodes da karkashin.

Nodal Analysis with Current Sources

Nodal analysis with current sources shine karfi da ita ce kuma ana tattaune da misali a baya.

Misali: Hala Node Voltages a wannan circuit

A cikin wannan circuit muna da 3 nodes kafin da wanda take da reference node da wadanda ba suka duba reference nodes – Node 1 da Node 2.

Step I. Samun voltages na nodes kamar v1 da 2 kuma sakiyayi directions na branch currents saboda reference nodes

Step II. Amfani da KCL zuwa Nodes 1 da 2
KCL at Node 1
KCL at Node 2
Step III. Amfani da Ohm’s Law zuwa KCL equations
• Ohm’s law zuwa KCL equation at Node 1

Simplifying the above equation we get,

• Now, Ohm’s Law to KCL equation at Node 2

Simplifying the above equation we get

Step IV. Now solve the equations 3 and 4 to get the values of v1 and v2 as,
Using elimination method

And substituting value v2 = 20 Volts in equation (3) we get-

Hence node voltages are as v1 = 13.33 Volts and v2 = 20 Volts.

Nodal Analysis with Voltage Sources

Case I. Idan voltage source ya kunshi da reference node da non reference node, za mu samun voltage na non-reference node daidai da voltage na voltage source kuma za a yi amfani da ita kamar current sources. v1 = 10 Volts.