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Electromagnetic transient numerical computation method based on 3-step 4-order implicit Taylor series method

A first-order Taylor series and Taylor series technology, applied in the field of electromagnetic transient numerical calculation based on the 3-step 4-order implicit Taylor series method, can solve the problem that sudden changes are difficult to be detected, and avoid numerical oscillation problems , improve computational efficiency, and have strong numerical stability

Active Publication Date: 2018-02-09
CHINA THREE GORGES UNIV
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Problems solved by technology

The main problem of this method is that some mutations are difficult to detect, resulting in the CDA method still unable to avoid the numerical oscillation problem

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  • Electromagnetic transient numerical computation method based on 3-step 4-order implicit Taylor series method
  • Electromagnetic transient numerical computation method based on 3-step 4-order implicit Taylor series method
  • Electromagnetic transient numerical computation method based on 3-step 4-order implicit Taylor series method

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Embodiment Construction

[0052]The actual process of the electromagnetic transient numerical calculation method based on the 3-step 4-order implicit Taylor series method proposed by the present invention is basically the same as that of the traditional electromagnetic transient numerical calculation method. The difference is mainly the numerical integration in step 4 The scoring methods used are different.

[0053] by Figure 4 The shown single-phase power frequency uniform long transmission line is an example of the electromagnetic transient simulation calculation of no-load closing under different initial phase angles. The specific implementation steps of the present invention are summarized as follows:

[0054] 1): Input the initialization data, establish the differential equations of each component of the system, and form the basic mathematical model of electromagnetic transient numerical calculation:

[0055] well known, used to describe Figure 4 The mathematical model of the electromagnetic t...

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Abstract

The invention discloses an electromagnetic transient numerical computation method based on a 3-step 4-order implicit Taylor series method. The method comprises the following steps: establishing a timedomain differential equation for electromagnetic transient numerical computation of a power system, performing time domain numerical integral computation by adopting an A-stable and infinitely stable3-step 4-order implicit Taylor series method, and gradually solving a change curve of each state variable with time. The 3-step 4-order implicit Taylor series method adopted by the invention is an A-stable and infinitely stable numerical method, has a faster attenuation rate for truncation errors, can effectively inhibit numerical oscillation, and can thoroughly avoid the problem of numerical oscillation compared with an implicit trapezoidal integral method. In addition, according to the 3-step 4-order implicit Taylor series method adopted by the invention, the computation accuracy is 6-order, the local truncation error is 0(h8), and the computation efficiency can be improved by adopting a larger integral step size. Compared with a CDA method, the electromagnetic transient numerical computation method based on the 3-step 4-order implicit Taylor series method can completely avoid the problem of numerical oscillation, and is also higher in computation accuracy and efficiency and stronger in numerical stability.

Description

technical field [0001] The invention relates to an electromagnetic transient numerical calculation method of a power system, in particular to an electromagnetic transient numerical calculation method based on a 3-step, 4-order implicit Taylor series method. Background technique [0002] The numerical calculation of electromagnetic transient (EMT) in power system is widely used in many fields of power system: overvoltage, insulation coordination, line protection and harmonic analysis, etc. Its basic theory and method have been established by Dommel in the late 1960s. [0003] In the electromagnetic transient simulation program (Electromagnetic Transient Program, EMTP), the implicit trapezoidal integration method with second-order accuracy and A-stable is widely used to differentiate the differential equations of circuit elements. However, the implicit trapezoidal integration method is not L-stable, and it will produce non-prototype numerical oscillations when faced with sudd...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 王永雷小林杨萌胡洁陶静静刘雪婷潘明帅饶华兴李强谭炜东李乾坤陶渊
Owner CHINA THREE GORGES UNIV
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