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A method for obtain a mathematical model of a high-voltage DC ion flow field

A technology of ion flow field and mathematical model, applied in the direction of complex mathematical operations, electrical digital data processing, special data processing applications, etc., can solve the problems of inaccurate numerical differentiation, false oscillation, numerical instability, etc., and achieve reliable convergence results Effect

Pending Publication Date: 2019-02-15
SHANGHAI UNIVERSITY OF ELECTRIC POWER
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Problems solved by technology

However, the current popular finite element algorithms are all based on the Galerkin finite element method using linear basis functions. Although the linear basis functions can be used to approximate the local functions, the governing equations of the ion flow field can also be solved, but in solving Numerical differentiation is still required for the linear equation, but numerical differentiation is inherently imprecise and prone to numerical instability and false oscillations

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  • A method for obtain a mathematical model of a high-voltage DC ion flow field
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  • A method for obtain a mathematical model of a high-voltage DC ion flow field

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[0030] Such as figure 1 As shown, a method for obtaining a mathematical model of a high-voltage DC ion flow field, the method includes the following steps:

[0031] (1) Establish the control equations considering the ion flow field under the compound coefficient through the Poisson equation, the current density equation and the current continuity equation;

[0032] (2) Using the finite difference method, according to the subdivision of the calculation area, carry out discrete difference to the current continuity equation, and establish the current continuity difference equation;

[0033] (3) Given an initial charge density distribution, use the finite element method to solve Poisson's equation, and obtain the electric potential and electric field distribution in the first solution area;

[0034] (4) Using the node electric field strength obtained in (3), iteratively solve the current continuity difference equation formed by each node, and obtain the updated value of the prima...

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Abstract

A method for obtain a mathematical model of high-voltage DC ion flow field comprises that follow steps: (1) establishing a control equation group of ion flow field considering composite coefficient through Poisson equation, current density equation and current continuity equation; (2) adopting a Finite difference method to establish the current continuity difference equation; (3) Given an initialcharge density distribution, solving the Poisson equation i by the finite element method, and the electric potential and electric field distribution in the first-order solution region are obtained. 4)using that electric field intensity of the nodes obtain in (3), iteratively solving the current continuity difference equation formed by each node to obtain the renewal value of the primary charge density distribution; (5) performing repeatedly executing steps (3) to (4) until convergence, obtaining the convergence distribution of each parameter of the ion flow field, and obtaining a high-voltageDC ion flow field mathematical model. Compared with the prior art, a more reliable convergence result is obtained, and the ion flow field mathematical model is more accurate.

Description

technical field [0001] The invention relates to the field of high-voltage direct current transmission, in particular to a method for obtaining a mathematical model of a high-voltage direct current ion flow field. Background technique [0002] With the development of UHVDC transmission technology in China, more and more attention has been paid to the accumulation of charges on the surface of insulators caused by the high-voltage DC ion flow field, the reduction of insulation performance, and the impact of the ion flow field of DC overhead lines on the environment and human body. Therefore, it is very important to establish a model of the HVDC ion flow field and calculate the ion flow field to provide technical and parameter support for the design of the HVDC transmission project. [0003] The corona discharge on the high-voltage direct current transmission line will generate charged ions. Unlike the case of alternating current, the high-voltage direct current electric field w...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06F17/12
CPCG06F17/12G06F30/23
Inventor 张周胜张子邓保家晏武
Owner SHANGHAI UNIVERSITY OF ELECTRIC POWER
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