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Numerical Calculation Method of Electromagnetic Transient Based on 3-step 4-order Implicit Taylor Series Method

An electromagnetic transient and Taylor series technology, applied in complex mathematical operations, design optimization/simulation, special data processing applications, etc., can solve problems such as the difficulty of detecting sudden changes, avoid numerical oscillation problems, and improve computing efficiency , the effect of strong numerical stability

Active Publication Date: 2021-07-13
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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  • Numerical Calculation Method of Electromagnetic Transient Based on 3-step 4-order Implicit Taylor Series Method
  • Numerical Calculation Method of Electromagnetic Transient Based on 3-step 4-order Implicit Taylor Series Method
  • Numerical Calculation Method of Electromagnetic Transient 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

Based on the electromagnetic transient numerical calculation method of the 3-step 4-order implicit Taylor series method, by establishing the time-domain differential equation for the numerical calculation of the electromagnetic transient of the power system, the A-stable and infinitely stable 3-step 4-order implicit Taylor series is adopted The numerical method is used to carry out time-domain numerical integral calculation, and gradually solve the change curve of each state variable with time. The 3-step 4-order implicit Taylor series method used in the present invention is an A-stable and infinitely stable numerical method, which has a faster decay rate to the truncation error, and can effectively suppress numerical oscillation. Compared with the implicit trapezoidal integration method Therefore, it can completely avoid the numerical oscillation problem. In addition, the calculation accuracy of the 3-step 4-order implicit Taylor series method used in the present invention is 6th order, and the local truncation error is O(h 8 ), which can improve computational efficiency by using a larger integration step size. Compared with the CDA method, the electromagnetic transient numerical calculation method based on the 3-step 4-order implicit Taylor series method can not only completely avoid the numerical oscillation problem, but also has higher calculation accuracy and efficiency and stronger 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 Patents(China)
IPC IPC(8): G06F30/20G06F17/13
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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