Ybus matrix


Ybus matrix

In power engineering, Y Matrix is one of the data requirements needed to formulate a power flow study program. It represents the line admittance between the buses in a power system.

Ybus matrix form:egin{bmatrix} Y_{11} & Y_{12} & cdots & Y_{1n} \ Y_{21} & Y_{22} & cdots & Y_{2n} \ cdots & cdots & cdots & cdots \ Y_{n1} & Y_{n2} & cdots & Y_{nn}end{bmatrix}

Context

Electric power transmission needs optimization. Only Computer simulation allows the complex handling required. The "Ybus" matrix is a tool in that domain.

Design

The Y Matrix is designated by "Ybus" and called "the bus admittance matrix". Y matrix is a symmetric and square matrix that completely describes the configuration of power transmission lines. In realistic systems which are quite large containing thousands of buses, the Y matrix is quite sparse. Each bus in a real power system is usually connected to only a few other buses through the transmission lines.

The admittances Y11, Y22,.. Ynn are called the "self-admittances" at the nodes, and each equals the sum of all the admittances terminating on the node identified by the repeated subscripts. The other admittances are the "mutual admittances" of the nodes, and each equals the negative of the sum of all admittances connected directly between the nodes identified by the double subscripts.

For small transmission systems of about less than 10 nodes or buses, Y matrix can be calculated manually. But for a realistic system with relatively large number of nodes or buses, say 1000 nodes, a computer program for computing Ybus is more practical to use. The Y matrix for transmission system with "n" number of nodes has a size of "n x n'’.

External links

* [http://www.jcmiras.net/jcm/item/73/ A C/C++ Program and Source Code for Computing Ybus and Zbus Matrices]


Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Matrix - получить на Академике рабочий купон на скидку Летуаль или выгодно matrix купить с бесплатной доставкой на распродаже в Летуаль

  • Nodal admittance matrix — In power engineering, Y Matrix or Ybus is an n x n symmetric matrix describing a power system with n buses. It represents the nodal admittance of the buses in a power system. In realistic systems which contain thousands of buses, the Y matrix is… …   Wikipedia

  • Zbus — Z Matrix or bus impedance matrix is an important tool in power system analysis. Though, it is not frequently used in power flow study, unlike Ybus matrix, it is, however, an important tool in other power system studies like short circuit analysis …   Wikipedia

  • Nodal analysis — Kirchhoff s current law is the basis of nodal analysis. In electric circuits analysis, nodal analysis, node voltage analysis, or the branch current method is a method of determining the voltage (potential difference) between nodes (points where… …   Wikipedia

  • Lastflussberechnung — Die Lastflussberechnung ist in der elektrischen Energietechnik eine Methode der numerischen Analyse von Energieversorgungsnetzen. Im Gegensatz zur traditionellen Schaltungsanalyse werden vereinfachte Darstellungen, wie das Einliniendiagramm oder… …   Deutsch Wikipedia

  • Power flow study — In power engineering, the power flow study (also known as load flow study) is an important tool involving numerical analysis applied to a power system. Unlike traditional circuit analysis, a power flow study usually uses simplified notation such… …   Wikipedia