CN106508026B - Ship Corrosion Electric Field modeling method based on dc point current source array model - Google Patents
Ship Corrosion Electric Field modeling method based on dc point current source array modelInfo
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- CN106508026B CN106508026B CN200810076314.4A CN200810076314A CN106508026B CN 106508026 B CN106508026 B CN 106508026B CN 200810076314 A CN200810076314 A CN 200810076314A CN 106508026 B CN106508026 B CN 106508026B
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- electric field
- current source
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- direct current
- ship
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Abstract
A kind of Ship Corrosion Electric Field modeling method based on dc point current source array model.It is characterized in that：Direct current point electric current source is selected to build the data equation of Ship Corrosion Electric Field model as basic computational ele- ment, a direct current point electric current source part is arranged in propeller, at impressed current anode position, another part is then arranged in naval vessel underwater portion head and the tail centrage both sides with proportional spacing.The invention has the advantages that, direct current point electric current source physically more can truly reflect Ship Corrosion Electric Field source feature relative to electric dipole, the stability of Ship Corrosion Electric Field model can be improved, the precision of Ship Corrosion Electric Field depth, distance transform is ensure that.
Description
Technical field
The invention belongs to technical field of electric field measurement under naval ship water, it is related to a kind of Ship Corrosion Electric Field modeling side
Method, more particularly to a kind of Ship Corrosion Electric Field modeling side by the use of direct current point electric current source as basic computational ele- ment
Method.
Background technology
Ship Corrosion Electric Field modeling is one of key link of electric field measurement data processing under naval ship water, and its is main
Effect is to carry out distance transform and depth conversion to ship's electrical field initial data, by different water depth, different beams
Away from data reduction on the certain same assessment survey line of the depth of water, positive transfer, so as to ensure that ship's electrical field is assessed
Objectivity and accuracy.Current Ship Corrosion Electric Field modeling is mainly based upon electric dipole Array Model, is
Produce the superposition of electric field to be fitted warship using a series of electric dipoles being located at shared by naval vessel underwater portion in region
The actual electric field of ship.Because electric dipole is ship's electrical field source in the approximate of far field, naval vessel electric dipole array mould
The precision and stability of type and the arrangement of electric dipole are closely related, when electric dipole array arrangement does not conform to
During reason, it may appear that models fitting precision is very high, stability very poor situation, distance to measurement data,
Depth conversion introduces larger error.In order to fundamentally solve this problem, it is necessary to more with physics meaning
The model of justice simulates the generating source of Ship Corrosion Electric Field.
The content of the invention
It is an object of the invention to provide a kind of Ship Corrosion Electric Field modeling based on dc point current source array model
Corrosion Electric Field modeling stability problem in electric field measurement, improves raw measurement data under method, solution naval ship water
Depth, the precision of distance transform.
The technical scheme is that selection direct current point electric current source builds Ship Corrosion Electric Field as basic computational ele- ment
The data equation of model, to data equation solve setting up Ship Corrosion using singularity value decomposition
Electric field model.The primary electrical source of Ship Corrosion Electric Field is the auxiliary of propeller and impressed current cathodic protection system
The parts such as supporing yang pole.Under naval ship water in electric field measurement, itself yardstick of above-mentioned electric field source is far smaller than itself and sensing
Distance between device, can be reduced to direct current point electric current source, and wherein impressed current anode can be considered positive point electric current source, spiral shell
Rotation oar then can be considered negative point electric current source.Ship Corrosion Electric Field dc point current source model is relative to eelctric dipole submatrix
Row model more can physically reflect ship's electrical field unique characteristics, therefore with higher stability.In model
Direct current point electric current source is divided into two parts, and a part is arranged at propeller and impressed current anode position, another part
Naval vessel underwater portion head and the tail center line both sides are then arranged in proportional spacing.
Ship Corrosion Electric Field dc point current source model can represent following data equation：
D=Gm (1)
In formula：D is referred to as observing data vector, is the dimensional vector of M × 1；G is referred to as data core, is M × N rank matrixes；
M is referred to as model parameter vector, is the dimensional vector of N × 1.
The stability of Ship Corrosion Electric Field model is determined by nuclear matrix G property.If nuclear matrix exists minimum
Singular value, then data non trivial solution can become extremely unstable.Singular value decomposition is carried out to nuclear matrix G, got rid of
Small non-zero singular value is abandoned, data non trivial solution can be made more to stablize, ensures that naval vessel is rotten in numerical computations
Lose the stability of electric field model.
The invention has the advantages that, direct current point electric current source can be physically more true relative to electric dipole
Real reflection Ship Corrosion Electric Field source feature, can improve the stability of Ship Corrosion Electric Field model, ensure that
Ship Corrosion Electric Field depth, the precision of distance transform.
Brief description of the drawings
Accompanying drawing is Ship Corrosion Electric Field model direct current point electric current source arrangement schematic diagram.
In figure：XOy faces are horizontal plane, and x-axis is parallel to naval vessel head and the tail center line, to point to bow as just, y-axis
Perpendicular to head and the tail center line, to point to starboard as just；Black round dot represents dc point point stream source.
Embodiment
With reference to technical scheme and accompanying drawing, the present invention is further described.
The first step：LPF is carried out to electric field signal under water, high-frequency random noises are eliminated.
Second step：Electric field data it will be transformed under water under naval vessel coordinate system, then to sensor coordinates, naval vessel
Ship trajectory coordinate and electric field time-domain signal carry out data fusion, and electric field time-domain signal is converted into spatial domain
Signal, it is (x to form each measuring point coordinate on survey line, survey linei, yi, zi) i=1 ... k, electric-field intensity is
(Exi, Eyi, Ezi) i=1 ... k, k is measuring point number.
3rd step：Arrange dc point current source array.Direct current point electric current source is divided into two parts, part arrangement
At propeller and impressed current anode position, another part is then arranged in naval vessel underwater portion from beginning to end with proportional spacing
Center line both sides.Direct current point electric current source coordinate is (x0j, y0j, z0j) j=1 ... n, n is direct current point electric current source number.
4th step：By dc point current source cell coordinate, measuring point coordinate, sea water advanced, sea water conductivity with
And sea bed conductivity parameters substitute into air-three layers of sea water-seabed medium direct current point electric current source electric field response public affairs
Formula, obtains nuclear matrix G, and combines measurement data, data equation is built, as shown in formula (1).
Wherein：
D=[Ex1 Ey1 Ez1 … Exk Eyk Ezk]T (2)
M=[I1 I2 I3 … In]T (3)
K is measuring point number, and n is direct current point electric current source number；
aijRepresent j-th of direct current point electric current source of unitary current intensity in i-th of measuring point (xi, yi, zi) produce
Electric field x-component；
bijRepresent j-th of direct current point electric current source of unitary current intensity in i-th of measuring point (xi, yi, zi) produce
Electric field y-component；
cijRepresent j-th of direct current point electric current source of unitary current intensity in i-th of measuring point (xi, yi, zi) produce
Electric field z-component.
5th step：Singular value decomposition is carried out to nuclear matrix G, small non-zero singular value is abandoned, naval vessel is obtained rotten
Lose electric field dc point current source array model：
Wherein GLFor nuclear matrix G generalized inverse, ΛrThe diagonal being made up of nuclear matrix G r singular value
Matrix, i.e.,：
Λr=diag (λ1, λ2..., λr) (6)
In formula：M is nuclear matrix G line number, and N is nuclear matrix G columns, M=3k, N=n；R is square
Battle array G order；λiFor matrix G singular value；UrFor matrix GGTM × r rank eigenvectors matrixs；VrFor
Matrix GTG N × r rank eigenvectors matrixs, and they are all semi-orthogonal matrixes.
Claims (1)
1. a kind of Ship Corrosion Electric Field modeling method based on dc point current source array model, it is characterized in that：To water
Lower electric field signal carries out LPF, eliminates high-frequency random noises；Naval vessel will be transformed into by electric field data under water
Under coordinate system, line number then is entered to sensor coordinates, ship navigation trajectory coordinates and electric field time-domain signal
According to fusion, electric field time-domain signal is converted into space-domain signal, each measuring point coordinate on survey line, survey line is formed
For (xi, yi, zi), i=1 ... k, electric-field intensity is (Exi, Eyi, Ezi), i=1 ... k, k is measuring point number in formula；
Direct current point electric current source is selected to build the data equation of Ship Corrosion Electric Field model as basic computational ele- ment, directly
A flow point current source part is arranged at propeller and impressed current anode position, and another part is then with proportional spacing
Naval vessel underwater portion head and the tail center line both sides are arranged in, direct current point electric current source coordinate is (x0j, y0j, z0j),
N is direct current point electric current source number in j=1 ... n, formula；By dc point current source cell coordinate, measuring point coordinate,
Sea water advanced, sea water conductivity and sea bed conductivity parameters substitute into air-three layers of sea water-seabed medium
Direct current point electric current source electric field response formula, obtains nuclear matrix G, and combines measurement data, builds data side
D=[E in journey d=Gm, formulax1 Ey1 Ez1 … Exk Eyk Ezk]T, m=[I1 I2 I3 … In]T,K is measuring point number, and n is direct current point electric current source number, aijRepresent single
J-th of direct current point electric current source of position current strength is in i-th of measuring point (xi, yi, zi) produce electric field x-component, bij
Represent j-th of direct current point electric current source of unitary current intensity in i-th of measuring point (xi, yi, zi) produce electric field y
Component, cijRepresent j-th of direct current point electric current source of unitary current intensity in i-th of measuring point (xi, yi, zi) produce
Electric field z-component；Singular value decomposition is carried out to nuclear matrix, small non-zero singular value is abandoned, obtains naval vessel
Corrosion Electric Field dc point current source array modelG in formulaLFor the wide of nuclear matrix G
Justice is inverse；ArThe diagonal matrix being made up of nuclear matrix G r singular value；UrFor matrix GGTM × r
Rank eigenvectors matrix；VrFor matrix GTG N × r rank eigenvectors matrixs；R is nuclear matrix G order,
M is nuclear matrix G line number, and N is nuclear matrix G columns, M=3k, N=n.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN200810076314.4A CN106508026B (en) | 2008-08-07 | 2008-08-07 | Ship Corrosion Electric Field modeling method based on dc point current source array model |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
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| CN200810076314.4A CN106508026B (en) | 2008-08-07 | 2008-08-07 | Ship Corrosion Electric Field modeling method based on dc point current source array model |
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| CN106508026B true CN106508026B (en) | 2013-04-03 |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109581040A (en) * | 2018-10-31 | 2019-04-05 | 湖北工业大学 | A kind of array corrosion current detection system and method for eliminating spatial noise |
| CN111337870A (en) * | 2020-04-17 | 2020-06-26 | 中国人民解放军海军装备部驻沈阳地区军事代表局驻大连地区第一军事代表室 | Three-axis electric field correction method based on Euler formula |
-
2008
- 2008-08-07 CN CN200810076314.4A patent/CN106508026B/en active Active
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109581040A (en) * | 2018-10-31 | 2019-04-05 | 湖北工业大学 | A kind of array corrosion current detection system and method for eliminating spatial noise |
| CN109581040B (en) * | 2018-10-31 | 2020-12-18 | 湖北工业大学 | Array corrosion current detection system and method for eliminating spatial noise |
| CN111337870A (en) * | 2020-04-17 | 2020-06-26 | 中国人民解放军海军装备部驻沈阳地区军事代表局驻大连地区第一军事代表室 | Three-axis electric field correction method based on Euler formula |
| CN111337870B (en) * | 2020-04-17 | 2021-07-06 | 中国人民解放军海军装备部驻沈阳地区军事代表局驻大连地区第一军事代表室 | Three-axis electric field correction method based on Euler formula |
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