Z bus building algorithm

the presentation on Z bus building algorithm

1. Z-BUS BUILDING ALGORITHM Presentation By:- Karansinh Parmar

2. Flow Of Presentation Introduction Notations & addition of branch and link Type-1 Modification Type-2 Modification Type-3 Modification Type-4 Modification Conclusion Reference Karansinh Parmar, M.Tech. Electrical Power System Engineering 2

3. Introduction Step-by-step programmable technique. Proceeds branch by branch. Advantageous as complete rebuilding not required. Z bus (old) Z b = branch impedance Z bus (new) Karansinh Parmar, M.Tech. Electrical Power System Engineering 3

4. Notations & Addition of branch and link Notation: i , j-old buses; r-reference bus ; k-new bus. Addition of branch : For connecting a new bus to an already existing old bus. Addition of link: For connecting two buses which already exist in partial network. Karansinh Parmar, M.Tech. Electrical Power System Engineering 4

5. Type-1 Modification Karansinh Parmar, M.Tech. Electrical Power System Engineering 5 Fig.1: Type-1 Modification Branch Impedance Z b is added to the new bus k & the reference bus r. V k = Z b * I k Z ki = Z ik = 0; i = 1,2. . . . n Z kk = Z b Z bus (new) = Z bus (old) I I I Z b 0 --- --- --- 0

6. Type-2 Modification Karansinh Parmar, M.Tech. Electrical Power System Engineering 6 Fig.2 : Type-2 Modification Z b is added from a new bus k to old bus j . Rearranging,

7. Type-3 Modification Karansinh Parmar, M.Tech. Electrical Power System Engineering 7 Fig.3 : Type-3 Modification Z b connects an old bus j to the ref. bus r. V k = )

8. Type-4 Modification Karansinh Parmar, M.Tech. Electrical Power System Engineering 8 Fig.3 : Type-4 Modification Z b connects two old buses i and j. V i = Z i1 I 1 +Z i2 I 2 + ... +Z 1i ( I i +I k )+ Z ij ­ ( I j -I k )+ … + Z in I n Eliminating I k we get ,

9. C onclusion Step by Step procedure . Easiliy computerized procedure. Modification employed to revise Z-bus in case of change in network. Opening of line Z ij is equivalent to adding a branch in parallel to it with impedance – Z ij . Karansinh Parmar, M.Tech. Electrical Power System Engineering 9

10. Reference “Modern Power System Analysis (4th edition)”,by D.P.Kothari & I.J.Nagrath . - Tata McGraw Hill Education Pvt. Ltd. Karansinh Parmar, M.Tech. Electrical Power System Engineering 10

11. THANK YOU Karansinh Parmar, M.Tech. Electrical Power System Engineering 11