Earth surface potential rapid evaluation method based on Chebyshev polynomial
A surface potential and polynomial technology, applied in electrical components, electrical digital data processing, power transmission AC networks, etc., can solve complex mirror algorithm complex problems, inconvenient popularization and application, complex theoretical expression of infinite exponential series, etc., to reduce Calculate the effect of difficulty
Pending Publication Date: 2022-03-08
ECONOMIC TECH RES INST OF STATE GRID HENAN ELECTRIC POWER
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Problems solved by technology
[0008] Equation (1) belongs to the generalized infinite integral, J 0 With the increase of rλ, it presents the characteristics of oscillation attenuation. The traditional numerical calculation method cannot accurately solve the formula (1)
if k 1 Infinite exponential series expansion can be carried out, and formula (1) can be solved by using the classic mirror method, but it cannot be solved for the case of many layers
The reason for this difficulty is that k 1 The theoretical expression of the infinite exponential series is too complicated, and the calculation time is too long to be used in practice
[0009] At present, some scholars have studied the use of the complex image method to solve the surface potential distribution of a large area caused by the DC ground electrode, but the complex image method algorithm is complicated, and it is not easy to popularize and apply
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[0067] Based on the formation of Chebyshev polynomials, the infinite integral of the surface potential is converted into a finite-length Chebyshev sequence summation, and then the surface potential is quickly evaluated.
[0068] The concrete steps of this solution method invention are:
[0069] Step 1, set the attenuation coefficient E of the first layer as:
[0070] E=exp(-2λd 1 ) (3)
[0071] For the i-th layer of earth, its attenuation coefficient can be rewritten as
[0072]
[0073] In step 2, formula (3) and formula (4) are substituted into formula (2), and formula (2) can be transformed into:
[0074]
[0075] Using series expansion, formula (5) can be reduced to
[0076]
[0077] Furthermore, in step 2, three steps, such as shift operation, coefficient expansion and truncation error judgment, need to be introduced to solve Equation (6).
[0078] The first step is the shift operation. The value range of the Chebyshev polynomial is [-1, 1], and the coeffic...
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The invention belongs to the field of analysis of large-range surface potential interference caused by an extra-high voltage direct current transmission project grounding electrode, and particularly relates to a surface potential rapid evaluation method based on a Chebyshev polynomial, which comprises the following steps: firstly, collecting data, and substituting the collected data into the Chebyshev polynomial to rapidly evaluate the value of the surface potential; compared with the prior art, the numerical calculation method has the following beneficial effects that the calculation difficulty of the surface potential distribution of a wide area caused by the direct current grounding electrode is greatly reduced, and the numerical calculation method for rapidly evaluating the surface potential through the Chebyshev polynomial is beneficial to forming calculation software.
Description
technical field [0001] The invention belongs to the analysis field of large-scale surface potential interference caused by the ground electrode of UHVDC power transmission project, and specifically relates to a method for calculating the surface potential distribution of a large area caused by the DC ground electrode when a single pole return operation mode occurs in DC power transmission. A Numerical Computational Method for Rapid Estimation of Surface Potential by Bischev Polynomials. Background technique [0002] Operation experience shows that the DC grounding pole causes a wide range of grid DC bias hazards, and its root is the uneven surface potential distribution caused by the DC grounding pole itself. The hazards of DC magnetic bias in the power grid are specifically manifested as: the power grid is connected to many substations that are far away from each other through transmission lines, and the neutral point of the high-voltage transformer in the substation is dir...
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Login to View More IPC IPC(8): G06F30/367H02J3/36G06F111/10
CPCG06F30/367H02J3/36H02J2203/10G06F2111/10Y02E60/60
Inventor 齐桓若陈晨闫向阳康祎龙王顺然刁旭宋景博李凯张金凤薛文杰翟育新宋晓帆郭放
Owner ECONOMIC TECH RES INST OF STATE GRID HENAN ELECTRIC POWER