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Optimum tide solvability identification method for electric power system

An optimal power flow and power system technology, applied in system integration technology, information technology support system, electrical components, etc., can solve problems such as insufficient algorithm robustness, excessive system load, unsolvable problems, etc., to improve economic and safety effect

Inactive Publication Date: 2009-06-24
ZHEJIANG UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] However, in the actual operation and planning of the power system, due to the large scale of the system, the strong non-convexity of the nonlinear programming, the initial value point far away from the optimal point, the overload of the system, and the lack of robustness of the algorithm, the optimal power flow The problem often does not converge
For these non-convergent optimal power flow problems, there are two possibilities: one possibility is that the problem itself is unsolvable, so it cannot converge; the other possibility is that the problem itself is solvable, but cannot converge due to algorithmic problems

Method used

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  • Optimum tide solvability identification method for electric power system
  • Optimum tide solvability identification method for electric power system
  • Optimum tide solvability identification method for electric power system

Examples

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Embodiment 1

[0067] Consider the power system optimal power flow problem in the form of (1), where the optimization variable is x, which includes [P G , Q G , V e , V f ,], where P G and Q G are the active output and reactive output of the generator respectively, V e and V f are the real and imaginary parts of the voltage at each node, respectively.

[0068] The objective function is set as the minimum fuel cost of system power generation (9), where α is the economic coefficient of each generator.

[0069] f ( x ) = Σ ( α i 2 P Gi 2 + α i 1 P Gi + α i 0 ...

Embodiment 2

[0084] This embodiment uses the same optimal power flow model and precondition matrix as in Embodiment 1. Consider a power system with 678 nodes (including 170 generators and 919 lines). When the interior point method is used to solve the optimal power flow problem, it cannot converge, and setting the initial value point as a flat start or a power flow solution cannot make it converge.

[0085] Applying the power system optimal power flow solvability identification proposed by the present invention to this system, after 100 iterations (taking 4.10 seconds), the energy function value is 2.5E-2, which does not meet the convergence condition. During the calculation process, the energy function change curve is shown in figure 2 , it can be seen from the figure that the energy function can never converge. Therefore, it can be considered that the optimal power flow problem of this example has no solution itself, and it cannot be converged by using other optimization algorithms or...

Embodiment 3

[0087] This embodiment uses the same optimal power flow model and precondition matrix as in Embodiment 1. Consider a power system with 2052 nodes (including 211 generators and 2533 lines). When the interior point method is used to solve the optimal power flow problem, it cannot converge, and setting the initial value point as a flat start or a power flow solution cannot make it converge.

[0088] Applying the power system optimal power flow solvability identification test proposed by the present invention to this system, it converges after 39 iterations (taking 4.97 seconds), and the energy function value after convergence is 4.2E-13. During the calculation process, the change curve of the energy function is shown in image 3 , it can be seen from the figure that the energy function quickly drops to near 0. Therefore, it can be considered that the optimal power flow problem of this example is feasible, and the optimal solution will be obtained when an appropriate optimizatio...

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Abstract

The invention discloses an optimal power flow solvability identification method of an electric power system; the method translates the problem of looking for a feasible point of the optimal power flow into the problem of obtaining a stable point of a differential dynamic system, thus simplifying the complexity of the primal problem; the stable point of the differential dynamic system can be effectively and rapidly obtained by using a pseudo-transient continuation method; the optimal power flow solvability identification method can greatly improve the economical efficiency and safety for operating the electric power system.

Description

technical field [0001] The invention belongs to the technical field of power system operation, analysis and scheduling, and in particular relates to a method for identifying the solvability of an optimal power flow in a power system. Background technique [0002] With the continuous deepening of power reform and the continuous promotion of power market, the importance of optimal power flow in power system is becoming more and more significant in actual operation and planning. The literature "The latest development of optimal power flow in the power market environment" discusses Economic dispatch is carried out on the operating status of the power system to optimize resources, save energy and reduce emissions. The literature "Summary of Optimal Power Flow Algorithms" introduces a variety of optimization algorithms for solving optimal power flow problems that have emerged in recent years, such as simplified gradient method, successive linear programming method, Newton's method...

Claims

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Application Information

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IPC IPC(8): H02J3/00G06F17/50
CPCY02E40/76Y04S10/545Y04S40/22Y02E60/76Y02E60/00
Inventor 江全元耿光超张铭泽
Owner ZHEJIANG UNIV
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