CN107607772A - The phases line voltage detection method of transmission line of electricity based on Gauss integration - Google Patents
The phases line voltage detection method of transmission line of electricity based on Gauss integration Download PDFInfo
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Abstract
A kind of phases line voltage detection method of transmission line of electricity based on Gauss integration provided by the invention, including：The voltage integrating meter path of the phase line of power transmission line is determined, electric-field sensor is arranged on path of integration and detects the electric field value of phase line；The Gaussian Computation model of phases line voltage is established, using the layout points of electric-field sensor as point, and electric field value is brought into phases line voltage is calculated in computation model, wherein：Computation model is：For point xiThe electric-field intensity of the actual measurement at place, αiFor weight coefficient, N is point number, i=1,2 ..., N；Pass through the present invention, the accuracy calculated for phases line voltage can be effectively improved, so as to which the accurate scheduling beneficial to power system and the transmission performance of transmission line of electricity carry out accurate evaluation, and algorithm is simple, reliable results, and the potential safety hazard that can be effectively prevented from traditional approach.
Description
Technical field
The present invention relates to a kind of phases line voltage detection method of transmission line of electricity, more particularly to it is a kind of based on the defeated of Gauss integration
The phases line voltage detection method of electric line.
Background technology
The phases line voltage of transmission line of electricity is related to the accuracy of power scheduling, in the prior art, for the phase of transmission line of electricity
Line voltage mainly has following two modes：One kind is direct measurement, because transmission line of electricity is often for voltage levels, using straight
It is high to connect requirement of the measurement for equipment, potential safety hazard be present, and easily receives external interference, causes the standard of the result of measurement
True property is low；Another kind is to measure electric field by electric-field sensor, and then point is legal to carry out solution phases line voltage by simulating, but
It is that this mode still has following problems with：Environmental disturbances easily are received, are mainly led in existing algorithm
Analogue charge method is crossed to be solved, due to being related to overdetermined equation during Qiu Enjie, so as to cause calculating process complicated, and
And the result without solution, more solutions or mistake be present, so as to cause the result of measurement inaccurate.
It is, therefore, desirable to provide a kind of new algorithm, can effectively improve the accuracy calculated for phases line voltage, so as to profit
Accurate evaluation is carried out in the accurate scheduling of power system and the transmission performance of transmission line of electricity, and algorithm is simple, reliable results,
And the potential safety hazard that can be effectively prevented from traditional approach.
The content of the invention
In view of this, it is an object of the invention to provide a kind of phases line voltage detection side of the transmission line of electricity based on Gauss integration
Method, the accuracy calculated for phases line voltage can be effectively improved, so as to the accurate scheduling beneficial to power system and power transmission line
The transmission performance on road carries out accurate evaluation, and algorithm is simple, reliable results, and can be effectively prevented from traditional approach
Potential safety hazard.
A kind of phases line voltage detection method of transmission line of electricity based on Gauss integration provided by the invention, including：
The voltage integrating meter path of the phase line of power transmission line is determined, electric-field sensor is arranged on path of integration and detects phase line
Electric field value；
The Gaussian Computation model of phases line voltage is established, using the layout points of electric-field sensor as point, and by electric field value band
Enter and phases line voltage is calculated in computation model, wherein：Computation model is：
Wherein, Ex(xi) it is integration
Point xiThe electric-field intensity of the actual measurement at place, αiFor weight coefficient, N is point number, i=1,2 ..., N.
Further, it is greatly zero point potential reference point, and voltage integrating meter is used as using phase line to the circuit of the vertical range of the earth
Path.
Further, multiple electric-field sensors, the number of electric-field sensor and the number of point are arranged on path of integration
It is equal, wherein, power plant's sensor is D-dot electric-field sensors.
Further, the D-dot electric-field sensors are PCB type D-dot electric-field sensors, wherein, the D-dot electric fields pass
Sensor include pcb board, be arranged in pcb board upper face top layer electrode and be arranged in, the bottom electrode of the lower face of pcb board,
Wherein, bottom electrode and top layer electrode are arcuate structure, and top layer electrode is multiple and be equally spaced the upper face in pcb board
Formed fan-shaped；Bottom electrode forms sector for lower face that is multiple and being equally spaced in pcb board, and top layer number of electrodes is more than bottom
The quantity of layer electrode.
Further, point x is calculated by equation belowiElectric-field intensity Ex(xi)：
Wherein, ρ (xi) it is weight function,It is long-pending
Branch xiElectric-field intensity when locating noiseless.
Further, weight function ρ (xi) be：ρ (x)=1, x, x2,x3,…,x2N-1 (3)。
Further, weight coefficient is calculated according to such as drag
Wherein, β i are electric field intensity value actual at point.
Further, (4) formula and (2) formula are updated in (1) formula and can obtained：
By weight function ρ (xi) can obtain：
It can be obtained by formula (5) and formula (6)：
By electric-field intensity of each point when noiselessIt is updated in formula (7), obtains the m at each pointk
Value, wherein, k=1,2 ..., N-1；The m obtainedkWith point xiIt is updated in formula (6), actual electric field intensity value is calculated
βi, and formula (4) calculates weight coefficient αi, and pass through weight coefficient αiWith the electric field intensity value E of actual measurementx(xi) it is updated to (1) formula
In phases line voltage V is calculatedba。
Beneficial effects of the present invention：By means of the invention it is possible to the accuracy calculated for phases line voltage is effectively improved, so as to
The transmission performance of accurate scheduling and transmission line of electricity beneficial to power system carries out accurate evaluation, and algorithm is simple, as a result may be used
Lean on, and the potential safety hazard that can be effectively prevented from traditional approach.
Brief description of the drawings
The invention will be further described with reference to the accompanying drawings and examples：
Fig. 1 is the arrangement schematic diagram of sensor of the invention.
Fig. 2 is the structural representation of the D-dot electric-field sensors of the present invention.
Fig. 3 is the schematic shapes that the electrode cloth of the D-dot electric-field sensors of the present invention postpones.
Embodiment
Further description is made to the present invention below in conjunction with Figure of description, as shown in the figure：
A kind of phases line voltage detection method of transmission line of electricity based on Gauss integration provided by the invention, including：
The voltage integrating meter path of the phase line of power transmission line is determined, electric-field sensor is arranged on path of integration and detects phase line
Electric field value；
The Gaussian Computation model of phases line voltage is established, using the layout points of electric-field sensor as point, and by electric field value band
Enter and phases line voltage is calculated in computation model, wherein：Computation model is：
Wherein, Ex(xi) it is integration
Point xiThe electric-field intensity of the actual measurement at place, αiFor weight coefficient, N is point number, i=1,2 ..., N；
Point x is calculated by equation belowiElectric-field intensity Ex(xi)：
Wherein, ρ (xi) it is weight function,It is long-pending
Branch xiElectric-field intensity when locating noiseless, electric-field intensity when this is noiseless can pass through Ansoft Maxwell simulation softwares
Tried to achieve, the simulation software is an existing software, the voltage class different by inputting transmission line of electricity, can obtain phase
The glitch-free electric-field intensity answered.
Wherein, weight function ρ (xi) be：ρ (x)=1, x, x2,x3,…,x2N-1 (3)。
Weight coefficient α is calculated according to such as dragi：Wherein, βiFor
Actual electric field intensity value at point.
(4) formula and (2) formula are updated in (1) formula and can obtained：
By weight function ρ (xi) can obtain：
It can be obtained by formula (5) and formula (6)：
By electric-field intensity of each point when noiselessIt is updated in formula (7), obtains the m at each pointk
Value, wherein, k=1,2 ..., N-1；The m obtainedkWith point xiIt is updated in formula (6), actual electric field intensity value is calculated
βi, and formula (4) calculates weight coefficient αi, and pass through weight coefficient αiWith the electric field intensity value E of actual measurementx(xi) it is updated to (1) formula
In phases line voltage V is calculatedba。
By means of the invention it is possible to the accuracy calculated for phases line voltage is effectively improved, so as to the standard beneficial to power system
Really the transmission performance of scheduling and transmission line of electricity carries out accurate evaluation, and algorithm is simple, reliable results, and can be effectively
Avoid the potential safety hazard in traditional approach.
It is greatly zero point potential reference point, and voltage is used as using phase line to the circuit of the vertical range of the earth in the present embodiment
Path of integration, as shown in Figure 1, that is to say, that path of integration is selected on the line of the vertical range of transmission line of electricity to the earth, is such as schemed
Dotted line in 1, although the result of Gauss integration is unrelated with path, in this way, it is more favorable for electric-field sensor
Arrangement, and energy supernumerary segment saves the selection of point, is calculated so as to simplify.
In the present embodiment, multiple electric-field sensors are arranged on path of integration, the number of electric-field sensor and point
Number is equal, wherein, electric-field sensor is D-dot electric-field sensors, it is, in general, that closer to the earth, then electric-field sensor
Arrange that spacing is smaller, that is to say, that：Point from transmission line of electricity to the earth is more and more closeer, so as to beneficial to final result
Accuracy；Using D-dot electric-field sensors, non-contact detection can be realized, so as to avoid potential safety hazard.
In the present embodiment, the D-dot electric-field sensors are PCB type D-dot electric-field sensors, wherein, the D-dot electricity
Top layer electrode of the field sensor including pcb board (also known as PCB substrate, full name is printed circuit board (PCB)), the upper face for being arranged in pcb board
Be arranged in, the bottom electrode of the lower face of pcb board, wherein, bottom electrode and top layer electrode are arcuate structure, top layer electrode
Sector is formed for upper face that is multiple and being equally spaced in pcb board；Bottom electrode is multiple and is equally spaced in pcb board
Lower face forms sector, and top layer number of electrodes is more than the quantity of bottom electrode, as shown in Figures 2 and 3, by this structure, one
Aspect can be beneficial to ensure actual measurement electric field intensity value accuracy, moreover, can effectively avoid electric-field sensor to transmission of electricity
The influence that the electric field of circuit is distributed in itself, it is only top layer in Fig. 3 so as to further ensure the accuracy of measurement result
This of electrode simultaneously shows that bottom electrode is also same shape, due to the distance between electrode unit mil (mil),
Therefore, the distance between adjacent top layer electrode is cannot make out in figure 3, it appears that it is exactly the sector being arranged to by copper, still, its
Concrete structure is as shown in Fig. 2 in Fig. 2, the relevant parameter of top layer electrode and bottom motor is：
W is the distance between top layer motor and bottom electrode, is determined according to the specifications parameter of actual electric-field sensor；H is
The height (or being thickness) of electrode itself, mil；R is the radius of electrode, according to the actual mil of electric-field sensor；D is electrode
Width, mil；D is that two adjacent electrodes are separated by a distance, mil, influences the number that maximum is electrode for the measurement result degree of accuracy
The distance between amount, the radial width of the thickness of electrode itself, electrode and adjacent motor.
Finally illustrate, the above embodiments are merely illustrative of the technical solutions of the present invention and it is unrestricted, although with reference to compared with
The present invention is described in detail good embodiment, it will be understood by those within the art that, can be to the skill of the present invention
Art scheme is modified or equivalent substitution, and without departing from the objective and scope of technical solution of the present invention, it all should cover at this
Among the right of invention.
Claims (8)
- A kind of 1. phases line voltage detection method of the transmission line of electricity based on Gauss integration, it is characterised in that：Including：The voltage integrating meter path of the phase line of power transmission line is determined, electric-field sensor is arranged on path of integration and detects the electric field of phase line Value；The Gaussian Computation model of phases line voltage is established, using the layout points of electric-field sensor as point, and brings electric field value into meter Calculate in model and calculate phases line voltage, wherein：Computation model is：Wherein, Ex(xi) it is point xi The electric-field intensity of the actual measurement at place, αiFor weight coefficient, N is point number, i=1,2 ..., N.
- 2. the phases line voltage detection method of the transmission line of electricity based on Gauss integration according to claim 1, it is characterised in that：Greatly Ground is zero point potential reference point, and the circuit using phase line to the vertical range of the earth is used as voltage integrating meter path.
- 3. the phases line voltage detection method of the transmission line of electricity based on Gauss integration according to claim 1, it is characterised in that： Multiple electric-field sensors are arranged on path of integration, the number of electric-field sensor is equal with the number of point, wherein, power plant's sensing Device is D-dot electric-field sensors.
- 4. the phases line voltage detection method of the transmission line of electricity based on Gauss integration according to claim 3, it is characterised in that：Institute It is PCB type D-dot electric-field sensors to state D-dot electric-field sensors, wherein, the D-dot electric-field sensors include pcb board, cloth Put the upper face of pcb board top layer electrode and be arranged in, the bottom electrode of the lower face of pcb board, wherein, bottom electrode and top Layer electrode is arcuate structure, and top layer electrode forms sector for upper face that is multiple and being equally spaced in pcb board；Bottom electrode Sector is formed for lower face that is multiple and being equally spaced in pcb board, top layer number of electrodes is more than the quantity of bottom electrode.
- 5. the phases line voltage detection method of the transmission line of electricity based on Gauss integration according to claim 1, it is characterised in that：It is logical Cross equation below and calculate point xiElectric-field intensity Ex(xi)：Wherein, ρ (xi) it is weight function,It is point xiElectric-field intensity when locating noiseless.
- 6. the phases line voltage detection method of the transmission line of electricity based on Gauss integration according to claim 5, it is characterised in that：Power Function ρ (xi) be：ρ (x)=1, x, x2,x3,…,x2N-1 (3)。
- 7. the phases line voltage detection method of the transmission line of electricity based on Gauss integration according to claim 6, it is characterised in that：Root Weight coefficient α is calculated according to such as dragi：Wherein, βiFor reality at point The electric field intensity value on border.
- 8. the phases line voltage detection method of the transmission line of electricity based on Gauss integration according to claim 7, it is characterised in that：Will (4) formula and (2) formula are updated in (1) formula and can obtained：<mrow> <mo>-</mo> <munderover> <mo>&Sigma;</mo> <mi>i</mi> <mi>N</mi> </munderover> <msub> <mi>&beta;</mi> <mi>i</mi> </msub> <mi>&rho;</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mo>-</mo> <munderover> <mo>&Integral;</mo> <mn>0</mn> <mi>b</mi> </munderover> <msubsup> <mi>E</mi> <mi>x</mi> <mrow> <mi>u</mi> <mi>n</mi> <mi>p</mi> </mrow> </msubsup> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>&rho;</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>x</mi> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> <mo>;</mo> </mrow>By weight function ρ (xi) can obtain：<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>m</mi> <mn>0</mn> </msub> <mo>=</mo> <msub> <mi>&beta;</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>&beta;</mi> <mn>2</mn> </msub> <mo>+</mo> <mo>...</mo> <mo>+</mo> <msub> <mi>&beta;</mi> <mi>N</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>m</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>&beta;</mi> <mn>1</mn> </msub> <msub> <mi>x</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>&beta;</mi> <mn>2</mn> </msub> <msub> <mi>x</mi> <mn>2</mn> </msub> <mo>+</mo> <mo>...</mo> <mo>+</mo> <msub> <mi>&beta;</mi> <mi>N</mi> </msub> <msub> <mi>x</mi> <mi>N</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>m</mi> <mn>2</mn> </msub> <mo>=</mo> <msub> <mi>&beta;</mi> <mn>1</mn> </msub> <msup> <msub> <mi>x</mi> <mn>1</mn> </msub> <mn>2</mn> </msup> <mo>+</mo> <msub> <mi>&beta;</mi> <mn>2</mn> </msub> <msup> <msub> <mi>x</mi> <mn>2</mn> </msub> <mn>2</mn> </msup> <mo>+</mo> <mo>...</mo> <mo>+</mo> <msub> <mi>&beta;</mi> <mi>N</mi> </msub> <msup> <msub> <mi>x</mi> <mi>N</mi> </msub> <mn>2</mn> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mn>......</mn> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>m</mi> <mrow> <mn>2</mn> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>&beta;</mi> <mn>1</mn> </msub> <msup> <msub> <mi>x</mi> <mn>1</mn> </msub> <mrow> <mn>2</mn> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>&beta;</mi> <mn>2</mn> </msub> <msup> <msub> <mi>x</mi> <mn>2</mn> </msub> <mrow> <mn>2</mn> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mo>...</mo> <mo>+</mo> <msub> <mi>&beta;</mi> <mi>N</mi> </msub> <msup> <msub> <mi>x</mi> <mi>N</mi> </msub> <mrow> <mn>2</mn> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> <mo>;</mo> </mrow>It can be obtained by formula (5) and formula (6)：By electric-field intensity of each point when noiselessIt is updated in formula (7), obtains the m at each pointkValue, its In, k=1,2 ..., N-1；The m obtainedkWith point xiIt is updated in formula (6), actual electric field intensity value β is calculatedi, again Formula (4) calculates weight coefficient αi, and pass through weight coefficient αiWith the electric field intensity value E of actual measurementx(xi) be updated to (1) formula and fall into a trap Calculation obtains phases line voltage Vba。
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| CN108333413A (en) * | 2018-02-12 | 2018-07-27 | 重庆大学 | The phases line voltage detection method of transmission line of electricity based on Chebyshev's integral algorithm |
| CN111337732A (en) * | 2020-03-26 | 2020-06-26 | 清华大学 | Voltage measurement method based on electric field inversion |
| CN114722659A (en) * | 2022-03-23 | 2022-07-08 | 常熟理工学院 | Electrode gap electric field non-uniform coefficient calculation method |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN108333413A (en) * | 2018-02-12 | 2018-07-27 | 重庆大学 | The phases line voltage detection method of transmission line of electricity based on Chebyshev's integral algorithm |
| CN108333413B (en) * | 2018-02-12 | 2021-05-04 | 重庆大学 | Phase line voltage detection method of power transmission line based on Chebyshev integral |
| CN111337732A (en) * | 2020-03-26 | 2020-06-26 | 清华大学 | Voltage measurement method based on electric field inversion |
| CN111337732B (en) * | 2020-03-26 | 2021-08-20 | 清华大学 | Voltage measurement method based on electric field inversion |
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| CN114722659B (en) * | 2022-03-23 | 2024-10-15 | 常熟理工学院 | Electrode gap electric field non-uniformity coefficient calculation method |
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Application publication date: 20180119 |