A generalized full-range flexible variable-step integration method and electromagnetic transient simulation method

Abstract

The invention discloses a generalized full-range flexible variable step size integral method and an electromagnetic transient simulation method, can reduce integral and interpolation calculation frequencies to a maximum degree, improves simulation speed, also gives consideration to accuracy and inhibits numerical oscillation. The method mainly comprises the following steps that: averagely obtaining an equivalent switch action moment in a step size, carrying out interpolation calculation on the state quantity of the equivalent switch action moment, utilizing backward Euler detection, processingsynchronous switch action, and utilizing a generalized full-range flexible variable step size integral to calculate the state quantity of a next whole step size moment so as to realize a re-synchronization process. By use of the method, on the basis of an existing flexible variable step size integral method, the range of the integral step size is expanded into (negative infinity, positive infinity) from original (0.5h, 1.0h), more flexible variable step size integral can be realized, and meanwhile, a node electric conductance matrix in a circuit equation does not need to be changed. By use ofthe method, a calculated amount in an electronic power switch action processing process can be reduced to a maximum degree.

Description

technical field [0001] The invention relates to a generalized integration method capable of flexibly changing the step size in the whole range and an electromagnetic transient simulation method based on the integration method, belonging to the power system simulation technology. Background technique [0002] Digital simulation is an important and effective method for studying power systems, which has the advantages of low cost, short cycle, flexibility and convenience. Electromagnetic transient simulation can reflect the system operation characteristics of the electromagnetic transient process of the power system. It has the characteristics of high simulation accuracy, wide time scale and wide application range, and is widely used at home and abroad. [0003] With the rapid development of flexible DC transmission, flexible AC transmission, distributed new energy, electric vehicles and other technologies, power electronic switching devices are more and more widely used in pow...

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Problems solved by technology

[0009] Disadvantage: Assuming that the step size of normal implicit trapezoidal integration is h, the applicable range of the step size of this method is only (0.5h, 1.0h). If you want to integrate with a step size exceeding this range, this method is not applicable

[0012] Disadvantages: (1) When x∈(0.5,1), the flexible integral of the first step cannot reach the full-step time, that is, the data of the next full-step time following the switch action will be missing in the simulation results; (2 ) When x∈(0,0.5], although the first step of flexible integration can reach the full-step long time, two steps of backward Euler integration are required to reach the full-step long time again and return to the normal time The implicit trapezoidal integral method is adopted; (3) due to the sudden change of the non-state quantity at the moment of the switch action, the result of the first step of the flexible integral calculation may have a large error

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