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A multi-precision solution method of wide-area layered geodetic Green's function

A Green's function, multi-precision technology, applied in complex mathematical operations and other directions, to avoid solution failures, avoid precision limitations, and ensure success and accuracy.

Inactive Publication Date: 2018-12-28
WUHAN UNIV
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Problems solved by technology

The above two characteristics will cause serious numerical singularity in the wide-area earth potential function. At this time, the numerical method used to solve the function will face the problem of solution failure. Only by using a more complex solution algorithm can more accurate calculation results be obtained.

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  • A multi-precision solution method of wide-area layered geodetic Green's function
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  • A multi-precision solution method of wide-area layered geodetic Green's function

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Embodiment Construction

[0022] Embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0023] The wide-area earth Green's function in this embodiment refers to the potential function of the unit-point current source of the wide-area layered earth. This embodiment is realized through the following technical solutions: a multi-precision solution method suitable for solving the Green's function of the wide-area layered earth. First, starting from the theoretical derivation method of the wide-area layered Earth Green's function, the Hankel integral kernel function of the wide-area layered Earth Green's function is deduced using the symbolic matrix. The symbolic matrix derivation method is helpful to summarize the wide-area layered earth The analytical solution of the Green's function is also helpful to verify the calculation results of the multi-precision algorithm on the integral kernel function. Then, using the multi-precision calculation...

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Abstract

The invention relates to a technique for studying the influence of wide-area earth on power system, in particular to a multi-precision solution method of wide-area layered earth Green's function, comprising the following steps: 1, defining the wide-area layered earth Green's function as a potential function of a unit point current source of wide-area layered earth; 2, the Green's function of the wide-area layere earth is solved, and the mathematical expression of the Green's function is obtained as the kernel function containing two Hankel integrals; 3, the mathematical expression of the Greenfunction is solved by using the multi-precision computation library GMP. The method is not limited by the difference of soil layers and soil parameters, avoiding the failure of solving Green's function due to numerical singularity, and avoiding the precision limitation of double-precision variable in traditional algorithm, which ensures the success and accuracy of solving Green's function in wide-area layered soil.

Description

technical field [0001] The invention belongs to the technical field of studying the influence of the wide-area earth on the power system, and in particular relates to a multi-precision solution method of the Green's function of the wide-area layered earth. Background technique [0002] Wide-Area Earth (Wide-Area Earth) generally refers to the earth covering a large area and the depth from the surface through the Moho interface (20km-70km depth for land, 7km-8km depth for ocean) to the upper mantle. Since the wide-area land has a very important influence on the power system, long-distance oil and gas pipeline system and railway / rail transit system, different industries pay more and more attention to the study of the wide-area land. The power system is a wide-area energy transmission network based on the underground grounding system. The four functions of the grounding system, such as protection ground, work ground, lightning protection ground and anti-static ground, are deepl...

Claims

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Application Information

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IPC IPC(8): G06F17/15G06F17/13G06F17/16
CPCG06F17/13G06F17/15G06F17/16
Inventor 潘卓洪张露李嘉思刘曳君刘晨蕾李昭扬文习山
Owner WUHAN UNIV
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