Coupling uncertainty acquisition method for high-altitude electromagnetic pulse field line based on polynomial chaos expansion

Abstract

The invention provides a coupling uncertainty acquisition method for a high-altitude electromagnetic pulse field line based on polynomial chaos expansion. The method comprises the following steps that(1) a coupling model of a field line of a transmission line under a high-altitude electromagnetic pulse is established, and related input parameters are determined; (2) according to uncertainty variables set by a user and a submissive statistic characteristic distribution type of the uncertainty variables, unified conversion is conducted according to demands, corresponding polynomial bases are used, and a coupling random response is subjected to polynomial chaos expansion; (3) according to types of different polynomials, coefficients of all the polynomials are obtained through corresponding-form Gaussian integral, and an analytic expression of a coupling response of the high-altitude electromagnetic pulse field line is obtained; (4) according to the coefficients of all the polynomials anddistribution types of the uncertainty variables, statistic characteristic parameters of the coupling response of the high-altitude electromagnetic pulse field line are obtained, a fluctuation range,a probability density distribution function and a cumulative probability distribution function are obtained by using a Monte-Carlo method.

Description

technical field [0001] The high-altitude electromagnetic pulse field line coupling uncertainty calculation designed by the present invention is an important part of the high-altitude electromagnetic pulse effect evaluation and the equipment anti-electromagnetic pulse effect evaluation, and can also play an important role in the fields of electromagnetic compatibility and power grid system security. Background technique [0002] The field line coupling process of the transmission line under the high-altitude electromagnetic pulse has the characteristics of wide distribution area and many influencing variables, which will cause interference or damage to the weapon electronic system and national infrastructure. Countries with early nuclear weapons such as Europe and the United States have been involved since the 1950s He began to pay attention to and study this problem, and has developed a series of military and civilian standards. [0003] The international standard IEC61000-2...

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Problems solved by technology

[0004] However, in actual effects, physical processes such as environmental electromagnetic fields, electronic systems, and couplings contain a large number of uncertain factors [1]

Monte Carlo numerical simulation is usually used to obtain the uncertainty of the field-line coupling response due to these uncertain factors; however, as the number of uncertain factors increases, the calculation amount also increases rapidly, and it is necessary to seek an efficient Uncertainty Acquisition Method Improves the Efficiency of Effect Evaluation

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