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Electromagnetic transient calculation method based on two-stage three-order single diagonally implicit Runge-Kutta method

An electromagnetic transient, diagonal technique, used in complex mathematical operations, etc.

Inactive Publication Date: 2016-03-16
CHINA THREE GORGES UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0008] The technical problem to be solved by the present invention is to provide an electromagnetic transient numerical calculation method based on the 2nd-order 3rd-order single-diagonal implicit Runge-Kutta method, which can not reduce the calculation efficiency of the classical electromagnetic transient numerical calculation method. , solve the numerical oscillation problem existing in the implicit trapezoidal integral method, and the calculation efficiency is higher than that of the CDA method and the electromagnetic transient numerical calculation method based on the 2-level 2-order single-diagonal implicit Runge-Kutta method

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  • Electromagnetic transient calculation method based on two-stage three-order single diagonally implicit Runge-Kutta method
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  • Electromagnetic transient calculation method based on two-stage three-order single diagonally implicit Runge-Kutta method

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Embodiment Construction

[0079] Embodiments of the present invention will be briefly described below with reference to the drawings.

[0080] The implementation process of the electromagnetic transient numerical calculation method based on the 2-level 3-order single-diagonal implicit RK method proposed by the present invention is basically the same as that of the traditional electromagnetic transient numerical calculation method, and the difference is mainly in step 4) Different integration methods are used in numerical integration.

[0081] as Figure 9 The electromagnetic transient calculation of the shown uniform long transmission line no-load closing is an example, and the specific implementation steps of the present invention can be summarized as follows:

[0082] 1) Input the original data, establish the differential equation of each component, and form the basic mathematical model of electromagnetic transient numerical calculation:

[0083] Enter the transmission line unit length parameter R ...

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Abstract

The invention discloses an electromagnetic transient numerical analysis method based on a two-stage three-order single diagonally implicit Runge-Kutta method. The electromagnetic transient numerical analysis method is characterized by comprising: establishing a time-domain differential equation for electromagnetic transient numerical calculation of a power system; performing time-domain numerical integration calculation with the B-stability two-stage three-order single diagonally implicit Runge-Kutta method; and stepwise solving a curve of change of each physical variable along with time. Compared with a classical electromagnetic transient numerical calculation method based on an implicit trapezoidal integration method, the electromagnetic transient numerical calculation method based on the two-stage three-order single diagonally implicit Runge-Kutta method can avoid the numerical oscillation problem; compared with a CDA method, the electromagnetic transient numerical calculation method based on the two-stage three-order single diagonally implicit Runge-Kutta method not only can completely avoid the numerical oscillation problem but also is higher in calculation efficiency; and compared with a numerical method (1), the electromagnetic transient numerical calculation method based on the two-stage three-order single diagonally implicit Runge-Kutta method is remarkably improved in calculation efficiency.

Description

technical field [0001] The invention relates to a numerical calculation method for electromagnetic transient state of a power system, in particular to an electromagnetic calculation method based on a single-diagonal implicit Runge-Kutta (Runge-Kutta, RK) method based on 2-level 3-order, nonlinear algebraic stability Transient Calculation Method. Background technique [0002] Electromagnetic transient calculation is to study the change process of electric field and magnetic field and the corresponding voltage and current in each component of the power system. Its main purpose is to study the transient overvoltage and overcurrent that may occur after power system failure or operation. [0003] In the process of electromagnetic transient analysis and calculation, considering factors such as nonlinearity of components, electromagnetic coupling, long line wave process, three-phase asymmetry of lines, and frequency characteristics of line parameters, it is necessary to establish d...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/13
CPCG06F17/13
Inventor 汪芳宗杨萌
Owner CHINA THREE GORGES UNIV
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