An optimal power flow calculation method based on class-extended variable interior point method

A technology of optimal power flow and calculation method, applied in the field of power system

Active Publication Date: 2016-04-20
STATE GRID CORP OF CHINA +1
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Problems solved by technology

[0007] In order to overcome the deficiencies of the above-mentioned prior art, the present invention provides an optimal power flow calculation method based on the class-extended variable interior point method. When the original optimization problem has no solution due to constraints, it provides the range of constraints that need to be released and the corresponding optimal Optimal solution, and can also be solved in some optimization problems that cannot be converged by the traditional prediction-correction method, which expands the solution space of the optimization problem and improves the convergence

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  • An optimal power flow calculation method based on class-extended variable interior point method
  • An optimal power flow calculation method based on class-extended variable interior point method
  • An optimal power flow calculation method based on class-extended variable interior point method

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[0089] The present invention will be further described in detail below in conjunction with the accompanying drawings.

[0090] figure 1 Flow chart for the calculation of optimal power flow according to the prediction-correction method.

[0091] The convergence of the algorithm in this paper is verified by an IEEE30 node example. The optimization goal is to minimize the network loss. The classical prediction-correction interior point method and the class-expanded interior point method based on the prediction-correction method are used to calculate the same examples for comparison and verification. These two methods are called method 1 and method 2 respectively in the calculation example. The convergence criteria are ρ∞ <2D-4.

[0092] The voltage is selected as the expansion class, the initial value of the lower expansion variable α and the upper expansion variable β is 0.01, and the penalty factor ξ is 10 6 . For using the same per-unit voltage constraint, and constantly...

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Abstract

The invention provides a calculation method of an optimal power flow based on a class extension variable interior point method. The calculation method comprises the following steps of importing a class extension variable in a non-convex nonlinear programming, and determining a lagrangian function after the class extension variable is imported; constructing a Karush-Kuhn-Tucker (KKT) condition equation of the lagrangian function after the class extension variable is imported; solving the KKT condition equation; and calculating the optimal power flow according to a prediction-correction method. According to the calculation method, when an original optimization problem has no solution for the limits of constraint conditions, a range needing to open the constraints and the corresponding optimal solution are provided; and a solution is also provided for some optimization problems which cannot be converged by using the traditional prediction-correction method; the solution space of the optimization problem is widened; and the convergence is improved. A practical solution is provided to numerical problems in a large number of equations for a new method by the calculation method, and the effectiveness is verified by an example of an electrical power system power flow optimization problem.

Description

technical field [0001] The invention belongs to the technical field of power systems, and in particular relates to an optimal power flow calculation method based on a class extended variable interior point method. Background technique [0002] The interior point algorithm refers to the algorithm in which each iteration point is the interior point of the feasible region. Karmarkar first proposed the interior point algorithm for solving linear programming in 1984. After 1989, interior point method to solve nonlinear programming has gradually become a research hotspot, and has been widely used in power system optimization problems. [0003] The nonlinear interior point method has good convergence and fast calculation speed, and has become a powerful tool for solving power system optimization problems. However, no matter the original dual interior point method, the prediction-correction interior point method, the multi-center correction interior point method or other improved a...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F19/00
Inventor 丁平刘世成严剑峰于之虹高波鲁广明吕颖解梅史东宇
Owner STATE GRID CORP OF CHINA
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