{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lecture3 - The Bus Admittance Matrix l The matrix equation...

Info icon This preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Power Systems I The Bus Admittance Matrix l The matrix equation for relating the nodal voltages to the currents that flow into and out of a network using the admittance values of circuit branches l Used to form the network model of an interconnected power system u Nodes represent substation bus bars u Branches represent transmission lines and transformers u Injected currents are the flows from generator and loads node bus inj V Y I = Network I k V k
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Power Systems I The Bus Admittance Matrix l Constructing the Bus Admittance Matrix (or the Y bus matrix) u form the nodal solution based upon Kirchhoff’s current law u impedances are converted to admittances ij ij ij ij x j r z y + = = 1 1 ( 29 ( 29 ( 29 n k kn k k k k k k inj k V V y V V y V V y V y I - + + - + - + = - K 2 2 1 1 0
Image of page 2
Power Systems I Matrix Formation Example j 1.0 j 0.8 j 0.4 j 0.2 j 0.2 j 0.08 4 3 1 2 Impedance Diagram generator 1 z = j 1.0 line 12 z = j 0.4 line 13 z = j 0.2 line 23 z = j 0.2 line 34 z = j 0.08 4 3 1 2 Network Diagram generator 2 z = j 0.8 V 2 V 1
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Power Systems I Matrix Formation Example y 10 = - j 1.0 y 20 = - j 1.25 y 12 = - j 2.5 y 13 = - j 5 y 23 = - j 5 y 34 = - j 12.5 1 2 Admittance Diagram I 2 I 1 4 3 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 (
Image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern