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Complex frequency domain calculation method for a converter transformer alternating current and direct current composite electric field

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

Active Publication Date: 2019-03-19
NORTH CHINA ELECTRIC POWER UNIV (BAODING)
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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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  • Complex frequency domain calculation method for a converter transformer alternating current and direct current composite electric field
  • Complex frequency domain calculation method for a converter transformer alternating current and direct current composite electric field
  • Complex frequency domain calculation method for a converter transformer alternating current and direct current composite electric field

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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 a converter transformer alternating current and direct current composite electric field, which comprises the following steps:obtaining a finite element equation by combining a Galerkin method based on a full current density continuity equation of a lossy medium; expressing each periodic variable in the equation under the AC / DC composite excitation by using a complex stage number; obtaining a unit matrix equation by using the equal harmonic coefficients, and superposing all the units to obtain a system matrix equation;introducing fixed-point conductivity, and converting an iterative equation into distribution according to harmonic frequency by performing row and column change on the matrix; and selecting fixed point conductivity, carrying out iterative solution according to a set convergence criterion, and carrying out convergence to obtain a potential value. According to the method, the finite element stiffness matrix of each iteration is decomposed according to the harmonic frequency by adopting a fixed-point method, so that the memory consumption of a harmonic balance algorithm is reduced, and the calculation cost for analyzing a nonlinear alternating-current and direct-current composite electric field can be effectively reduced.

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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IPC IPC(8): G06F17/50
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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