A Computational Method of Complex Frequency Domain for AC-DC Composite Electric Field of Converter Transformer

A technology of converter transformer and calculation method, applied in the field of converter transformer, can solve the problem of huge and large amount of calculation, generally reaching thousands of seconds (or even longer, etc., to reduce storage memory, reduce memory consumption, and increase calculation speed) Effect

Active Publication Date: 2021-02-19
NORTH CHINA ELECTRIC POWER UNIV (BAODING)
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  • Application Information

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Problems solved by technology

However, since the time constant of the oil-paper insulation system is relatively large, generally reaching thousands of seconds (or even longer), if the time-step method is used to obtain the steady-state results at this time, the total amount of calculation will be very large

Method used

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  • A Computational Method of Complex Frequency Domain for AC-DC Composite Electric Field of Converter Transformer

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Embodiment

[0055] S1: Full current density continuity equation based on lossy media:

[0056]

[0057] Among them, γ is the conductivity of the medium, and ε is the dielectric constant of the medium;

[0058] Combined with the Galerkin finite element method, the finite element equation is obtained:

[0059]

[0060] Among them, K γ is the nonlinear coefficient matrix related to conductivity; M ε is a matrix related to the relative permittivity; Φ is the potential vector of all nodes.

[0061] S2: Express the periodic variables in the equation under the AC / DC compound excitation with complex series:

[0062]

[0063]

[0064] Among them, Φ i.0is the DC component of the magnetic flux, ω is the fundamental angular frequency, and n is the harmonic order.

[0065] S3: The unit matrix equation is obtained by using the equal coefficients of each harmonic before, and the system matrix equation is obtained by superimposing all the units.

[0066] Bring the variables represented ...

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Abstract

The invention relates to a complex frequency domain calculation method for the AC / DC composite electric field of a converter transformer, comprising: the full current density continuity equation based on the lossy medium, combined with the Galerkin method to obtain the finite element equation; the AC / DC composite excitation into the following equation Each periodic variable in is represented by a complex series; the element matrix equation is obtained by using the equal harmonic coefficients of each order, and the system matrix equation is obtained by superimposing all the elements; the fixed-point conductivity is introduced, and the iterative equation is transformed into According to the distribution of harmonic times; select the fixed-point conductivity, iteratively solve according to the set convergence criterion, and obtain the potential value after convergence. The invention adopts the fixed-point method to decompose the finite element stiffness matrix of each iteration according to the harmonic order, thereby reducing the memory consumption of the harmonic balance algorithm and effectively reducing the calculation cost of analyzing the nonlinear AC-DC composite electric field.

Description

technical field [0001] The invention belongs to the field of converter transformers, and relates to complex frequency domain calculations, in particular to a complex frequency domain calculation method for an AC-DC composite electric field of a converter transformer. Background technique [0002] In a DC transmission system, a primary equipment failure is the primary factor causing forced outage of the DC system. As an important device in DC primary equipment, the converter transformer is closely related to its safe operation and system stability. In the oil-paper insulation structure of large power transformers, partial discharge is considered to be the main reason for the deterioration of the insulation performance of the insulation medium. Therefore, the study of the space charge influence mechanism under the compound electric field, the calculation method of the compound electric field and the allowable field strength of the compound electric field insulating material h...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/23
CPCG06F30/23
Inventor 赵小军曹越芝崔伟春苑东伟
Owner NORTH CHINA ELECTRIC POWER UNIV (BAODING)
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