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Calculation method of optimal power flow based on class extension variable interior point method

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

Active Publication Date: 2013-10-23
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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  • Calculation method of optimal power flow based on class extension variable interior point method
  • Calculation method of optimal power flow based on class extension variable interior point method
  • Calculation method of optimal power flow based on class extension variable interior point method

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

[0090] figure 1 Flowchart for optimal power flow calculation based on the forecast-correction method.

[0091] The convergence of the algorithm in this paper is verified by IEEE30 node calculation example. The optimization goal is to minimize the network loss. The same calculation example is calculated by using the classic prediction-correction interior point method and the class-extended interior point method based on the prediction-correction method, and the comparison and verification are carried out. These two methods are referred to as method 1 and method 2 in the example. Convergence criteria are ρ∞ <2D-4.

[0092] Select voltage as the extended class, remove the initial value of the extended variable α and the upper extended variable β to 0.01, and the penalty factor ξ is 10 6 . For using the same per-unit voltage constraint, and continuously shr...

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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 an interior point of the feasible region. Karmarkar first proposed the interior point algorithm for solving linear programming in 1984. After 1989, the interior point method for solving 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 better convergence and faster calculation speed, and has become a powerful tool for solving power system optimization problems. However, regardless of the original dual interior point method, the prediction-correction interior point method, the multi-center correction interior point method, or o...

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Application Information

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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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