1、Branch Analysis Branch analysis refers to the method that takes a branch current or branch voltage as variable to write equations for analyzing circuits. the branch current is taken as variable the branch voltage is taken as variable branch current analysis branch voltage analysis for a circuit with
2、 n nodes and b branches b variables n-1 independent KCL equations b-(n-1) independent KCL equations b equations 1b method Branch Analysis: Branch current analysis is the method that takes a branch current as variable to write equations for analyzing circuits. n-1 independent KCL equations (branch cu
3、rrent) b-(n-1) independent KVL equations (branch voltage) b equations with branch current variables 1. Branch Current Analysis: Independent equations (for a circuit with n nodes and b branches): substitute branch current to branch voltage with the help of Ohms law Practice problem: Mesh I Mesh Mesh
4、5R1R2R 4R3R4i3i2i1i 6i5i6Rsu1i 2i 6 0i234 0i i i 4 5 6 0i i i 2 3 1 0u u u 4 5 3 0u u u 1 5 6 0u u u 2 2 3 3 1 1 0R i R i R i 4 4 5 5 3 3 0R i R i R i 1 1 5 5 s 6 6+ + 0R i R i u R iKVL equations in clockwise direction for each mesh KCL equations for the first three labeled nodes Node Node Node Conc
5、lusion: 1. Set the reference direction of each branch current; Analysis steps of the branch current method: 2. Select (n-1) nodes and write their KCL equations; 3. Select b-(n-1) independent loops and write their KVL equations; 4. The branch voltage is substituted by branch current with the help of
6、Ohms law; 5. Solve branch current variables through simultaneous equations; 6. Solve other variables of interest. Branch voltage analysis is the method that takes a branch voltage as variable to write equations for analyzing circuits. n-1 independent KCL equations (branch current) b-(n-1) independen
7、t KVL equations (branch voltage) b equations with branch voltage variables 2. Branch Voltage Analysis: Independent equations (for a circuit with n nodes and b branches): substitute branch voltage to branch current with the help of Ohms law Features of branch analysis : Advantages: Disadvantages Applicable conditions: The equations are easy to write, and the writing process is simple and intuitive. There are too many equations, and it is time consuming and inconvenient to solve them all. The circuits with a few of branches are applicable.
