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Distribution network state estimation method based on semi-definite programming

A semi-definite programming and network state technology, which is applied in the field of distribution network state estimation based on semi-definite programming, and can solve problems such as the ill-conditioned coefficient matrix.

Inactive Publication Date: 2016-09-07
STATE GRID SHANDONG ELECTRIC POWER COMPANY WEIFANG POWER SUPPLY +2
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Problems solved by technology

The disparity of measurement weights, including a large number of injection measurements, etc., will lead to the coefficient matrix appear sick

Method used

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  • Distribution network state estimation method based on semi-definite programming
  • Distribution network state estimation method based on semi-definite programming
  • Distribution network state estimation method based on semi-definite programming

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Embodiment Construction

[0061] As shown in the figure, in this embodiment, the simulation calculation is performed on an HP-PC with a CPU of 3.0 GHz, and the SDPA-M semi-definite programming software package based on sparse technology is called under the Matlab7.0 environment for calculation.

[0062] The calculation example is based on a three-phase balanced distribution network with IEEE 33 nodes and IEEE 69 nodes. The selected power base value is 100MW, and the voltage base value is 12.66KV.

[0063] Concrete method of the present invention is:

[0064] Step 1. Establish a mathematical description of the WLS estimation problem

[0065] According to formula (a), the distribution network state estimation based on weighted least squares is to solve the following objective function:

[0066] , referred to as formula (1) or formula (1), in formula (1), the state phasor ,in , are the real and imaginary parts of the voltage at node i, n is the number of node voltages; m is the total number of...

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Abstract

The invention discloses a distribution network state estimation method based on semi-definite programming. The method is characterized by comprising the following steps of step 1 establishing a mathematical description of a WLS (Weighted Least Squares) estimation problem; step 2 establishing a semi-definite programming model of the WLS estimation problem; step 3 determining a coefficient matrix of the semi-definite programming model; and step 4 solving. The distribution network state estimation method based on semi-definite programming has super-linear convergence and good precision, a computed result thereof is consistent to a computed result of the general WLS method, the obtained solution can be guaranteed to be globally optimal, the storage efficiency is improved and the computation complexity is greatly reduced.

Description

technical field [0001] The invention relates to a distribution network state estimation method based on semi-definite programming. Background technique [0002] At present, the least squares (WLS) estimator is most widely used in distribution network state estimation, and the estimation has excellent statistical properties such as optimal consistency and unbiasedness. In the absence of bad data, this method estimates very well. Non-linear least squares problems generally have no closed solution, usually the initial value of iteration is given in advance, and some iterative method is used to solve it. Most of the iterative methods are based on search algorithms, among which the Gauss-Newton method is widely used because of its concise format and small amount of calculation. But the main disadvantage of this iterative algorithm is that its convergence is often strongly dependent on the selection of the initial value and the nonlinear strength of the function. When the initi...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H02J3/00G06Q10/04G06Q50/06
CPCG06Q10/04G06Q50/06H02J3/00H02J2203/20Y04S10/50
Inventor 杨晶晶魏玉苓孙延栋郑凯王俊凯何果红范存松
Owner STATE GRID SHANDONG ELECTRIC POWER COMPANY WEIFANG POWER SUPPLY
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