CN108845176A - It is a kind of meter and stray capacitance Resistive Voltage Transformer voltage's distribiuting calculation method - Google Patents
It is a kind of meter and stray capacitance Resistive Voltage Transformer voltage's distribiuting calculation method Download PDFInfo
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- CN108845176A CN108845176A CN201811046252.2A CN201811046252A CN108845176A CN 108845176 A CN108845176 A CN 108845176A CN 201811046252 A CN201811046252 A CN 201811046252A CN 108845176 A CN108845176 A CN 108845176A
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- voltage
- stray capacitance
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- distribiuting
- voltage divider
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R19/00—Arrangements for measuring currents or voltages or for indicating presence or sign thereof
Abstract
The present invention provide it is a kind of meter and stray capacitance Resistive Voltage Transformer voltage's distribiuting calculation method.The method of the present invention is that resitstance voltage divider is divided into n minute cells, the surface charge of each unit of resitstance voltage divider is calculated by boundary element method, the capacitance coefficient matrix of resitstance voltage divider is further calculated, to obtain the stray capacitance over the ground of each unit of resitstance voltage divider and to high-voltage end stray capacitance；According to the stray capacitance over the ground of each unit acquired and to high-voltage end stray capacitance, the voltage's distribiuting of resitstance voltage divider is acquired using the nodal method of analysis；According to the voltage's distribiuting acquired, and then stray capacitance is found out to the intrinsic standoff ratio of Resistive Voltage Transformer and the influence of phase deviation.Rapid solving, application value with higher may be implemented by computer software in this method.
Description
Technical field
The present invention relates to power equipment condition monitoring technical fields, specifically, more particularly to it is a kind of meter and it is spuious
The calculation method of the Resistive Voltage Transformer voltage's distribiuting of capacitor.
Background technique
According to the difference of the measuring principle of mutual inductor, electronic type voltage transformer can be divided into Resistive Voltage Transformer,
Resistance-capacitance type voltage transformer and capacitance type potential transformer.Compared to other type mutual inductors, Resistive Voltage Transformer have with
Lower advantage：
(1) reasonable selection divider resistance, the available specific capacitance formula of Resistive Voltage Transformer or resistance-capacitance type mutual inductor are more
Small size；
(2) because using pure resistance partial-pressure structure, ferromagnetic resonance phenomenon is not present in Resistive Voltage Transformer, is had very big
Dynamic and linear measurement section；
(3) the small size resistance of special designing is used, the high-acruracy survey of voltage may be implemented in Resistive Voltage Transformer.
Resistive Voltage Transformer main body is resitstance voltage divider, and the measurement accuracy of resitstance voltage divider will directly influence its work
The performance of work.For ideal resitstance voltage divider, intrinsic standoff ratio kN=1+R1/R2, wherein R1For high-voltage arm resistance, R2It is low
Pressure arm resistance.Phase is not present in k times of amplitude difference in a tested high-voltage end input voltage and secondary low-voltage end output voltage
Difference.But for existing resitstance voltage divider, exist with surrounding earth and high-voltage end spuious because of caused by built-in field
Capacitor, will not only change the intrinsic standoff ratio of divider, also will lead to and generates phase deviation between measurement output and input.
Summary of the invention
According to set forth above for existing resitstance voltage divider, exist with surrounding earth and high-voltage end because of intrinsic electricity
Stray capacitance caused by, will not only change the intrinsic standoff ratio of divider, also will lead to and generates phase between measurement output and input
The technical issues of deviation, and provide it is a kind of meter and stray capacitance Resistive Voltage Transformer voltage's distribiuting calculation method.
The technological means that the present invention uses is as follows：
It is a kind of meter and stray capacitance Resistive Voltage Transformer voltage's distribiuting calculation method, including：
S1：Resitstance voltage divider is divided into n minute cells, calculates the stray capacitance of each unit of resitstance voltage divider；
S2：According to the stray capacitance of described each unit acquired, the electricity of resitstance voltage divider is acquired using the nodal method of analysis
Pressure distribution；
S3：According to the voltage's distribiuting acquired, and then stray capacitance is found out to the intrinsic standoff ratio of Resistive Voltage Transformer
And phase deviation.
Further, resitstance voltage divider is divided into n minute cells along axial direction by the step S1, and resitstance voltage divider is each
The calculating process of the stray capacitance of unit further includes：
S101：Calculate each cell surface charge；
S102：Calculate each unit stray capacitance on the ground；
S103：Each unit is calculated to the stray capacitance of high-voltage end.
Further, the process for the voltage's distribiuting for seeking resitstance voltage divider in the step S2 is as follows：
S201：Resitstance voltage divider is divided into n minute cells in step S1, when n is sufficiently large, by each minute cells
It is considered as a node, reference mode is greatly used as, if high-voltage end node voltage isCalculate node voltage equation；
S202：The nodal voltage equation is rewritten to arrange and obtains n equation group；
S203：Show that resistor divider voltage is distributed by n equation group described in operation.
Further, the calculating process of Resistive Voltage Transformer intrinsic standoff ratio and phase deviation is as follows in the step S3：
It acquires resitstance voltage divider ontology stray capacitance and causes intrinsic standoff ratio deviation：
K in formulaN=1+R1/R2For ideal resistance voltage divider ratio；
Acquire voltage-phase deviation caused by resitstance voltage divider ontology stray capacitance：
Compared with the prior art, rapid solving may be implemented by computer software in the method for the present invention, with higher to answer
With value.To sum up, it applies the technical scheme of the present invention and resitstance voltage divider is divided into several units, obtained by boundary element method
The surface charge of each unit of resitstance voltage divider further calculates the capacitance coefficient matrix of resitstance voltage divider, to obtain electricity
Hinder the stray capacitance over the ground of each unit of divider and to high-voltage end stray capacitance；According to the spuious over the ground of each unit acquired
Capacitor and to high-voltage end stray capacitance, the voltage's distribiuting of resitstance voltage divider is acquired using the nodal method of analysis；According to the voltage acquired
Distribution, and then stray capacitance is found out to the intrinsic standoff ratio and phase deviation of Resistive Voltage Transformer.
The present invention can be widely popularized in fields such as power equipment condition monitorings based on the above reasons.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below
There is attached drawing needed in technical description to do simply to introduce, it should be apparent that, the accompanying drawings in the following description is this hair
Bright some embodiments for those of ordinary skill in the art without any creative labor, can be with
It obtains other drawings based on these drawings.
Fig. 1 is the method for the present invention flow chart.
Fig. 2 is the method for the present invention step S1 calculating process flow chart.
Fig. 3 is the voltage's distribiuting flow chart that the method for the present invention step S2 seeks resitstance voltage divider.
Specific embodiment
In order to enable those skilled in the art to better understand the solution of the present invention, below in conjunction in the embodiment of the present invention
Attached drawing, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described embodiment is only
The embodiment of a part of the invention, instead of all the embodiments.Based on the embodiments of the present invention, ordinary skill people
The model that the present invention protects all should belong in member's every other embodiment obtained without making creative work
It encloses.
It should be noted that description and claims of this specification and term " first " in above-mentioned attached drawing, "
Two " etc. be to be used to distinguish similar objects, without being used to describe a particular order or precedence order.It should be understood that using in this way
Data be interchangeable under appropriate circumstances, so as to the embodiment of the present invention described herein can in addition to illustrating herein or
Sequence other than those of description is implemented.In addition, term " includes " and " having " and their any deformation, it is intended that cover
Cover it is non-exclusive include, for example, the process, method, system, product or equipment for containing a series of steps or units are not necessarily limited to
Step or unit those of is clearly listed, but may include be not clearly listed or for these process, methods, product
Or other step or units that equipment is intrinsic.
Embodiment
As shown in Figure 1, 2, 3, the present invention provides a kind of meter and the Resistive Voltage Transformer voltage's distribiutings of stray capacitance
Calculation method, including：
S1：Resitstance voltage divider is divided into n minute cells, calculates the stray capacitance of each unit of resitstance voltage divider；
Vector composed by each unit voltage is expressed as U ∈ Rn, vector composed by each cell surface charge indicates
For Q ∈ Rn, then：
CU=Q (1)
C is capacitance coefficient matrix in formula
S101：Calculate each cell surface charge；
Enabling i-th of unit voltage is 1V, and other unit voltages are 0V, calculates the surface total electrical charge of each unit, can be obtained C
I-th column parameter of matrix；The capacitance coefficient that wherein jth row, i-th arrange is the charge Q on j-th of unitj：
Cji=Qj, j=1,2 ..., n (2)
All cell surfaces are divided into m face element, it is assumed that the charge on each face element is uniformly distributed, then any face element k
Central point xkPotential be：
In formulaIt is face element l in point xkGenerated current potential；It is face element k in xkCurrent potential caused by point
ε in formula0For permittivity of vacuum；AkFor the area of face element k；σkFor the charge density of face element k；qkFor the table of face element k
Surface charge
R in formulaklFor the center face element l to the distance at the center any face element k, slFor first of face element area, AlFor first of face
Member, σlFor the charge density of face element l, m is the face element quantity after the segmentation of all units；
Calculating all face element formula is：
P is m rank parameter matrix in formula；Q is the m dimensional vector of each face element quantity of electric charge composition；For each face element current potential group
At m dimensional vector.
Set the current potential of all face elements on unit i equally as 1V, other is 0V, and calculating formula (6) can get the table of all face elements
Surface charge；Substitution formula (2) calculates：
It successively carries out calculating the i-th column element that can acquire capacitance coefficient Matrix C；
By successively assigning the method that current potential solves, available entire capacitance coefficient Matrix C to unit；
S102：Calculate each unit stray capacitance on the ground；
I-th cell stray capacitance on the ground is：
It is successively calculated, obtains the stray capacitance on the ground of all units；
S103：Each unit is calculated to the stray capacitance of high-voltage end.
I-th cell is to the stray capacitance of high-voltage end：
Cih=-Ci1 (9)
It is successively calculated, obtains the stray capacitance to high-voltage end of all units.
S2：According to the stray capacitance of above-mentioned each unit acquired, the electricity of resitstance voltage divider is acquired using the nodal method of analysis
Pressure distribution；
S201：Resitstance voltage divider is divided into n minute cells in step S1, when n is sufficiently large, by each minute cells
It is considered as a node, reference mode is greatly used as, if high-voltage end node voltage isNodal voltage equation is：
Matrix YBFor node admittance matrix,For node voltage vector,For node Injection Current vector, square is expanded into
Formation formula：
In matrixFor node i Injection Current,For the voltage-to-ground of node i, i=1,2 ... n；
YiiFor self-admittance, numerical value, which is equal to, applies unit voltage in node i, when other nodes are all grounded, through node i
The electric current of injection network；
YijFor transadmittance, numerical value, which is equal to, applies unit voltage in node i, when other nodes are all grounded, through node j
The electric current of injection network；
1. as i=1
2. as i > 1 and j > i
In addition to node 1, node i Injection CurrentByWithTwo parts composition；
Node i Injection Current I can be obtained by formula (15) and (16)iExpression formula is：
Nodal voltage equation is：
S202：The nodal voltage equation is rewritten to arrange and obtains n equation group；
Above formula (18) is rewritten as：
Above formula (19) left and right both sides of equal sign are rewritten as respectively again：
It enables
Then
Enable YB"=P-1YB'
Then
Above formula (20) and (21) are rewritten as：
It arranges：
EXPANSION EQUATION FOR STEEL form is
Wherein,For known high-voltage end voltage,WithTotal n amounts to be asked；
S203：Show that resistor divider voltage is distributed by n equation group described in operation.
S3：According to the voltage's distribiuting acquired, and then stray capacitance is found out to the intrinsic standoff ratio of Resistive Voltage Transformer
And phase deviation.The calculating process of Resistive Voltage Transformer intrinsic standoff ratio and phase deviation is as follows in step S3：
It calculates resitstance voltage divider ontology stray capacitance and causes intrinsic standoff ratio deviation：
K in formulaN=1+R1/R2For ideal resistance voltage divider ratio；
Calculate voltage-phase deviation caused by resitstance voltage divider ontology stray capacitance：
In the above embodiment of the invention, it all emphasizes particularly on different fields to the description of each embodiment, does not have in some embodiment
The part of detailed description, reference can be made to the related descriptions of other embodiments.
Finally it should be noted that：The above embodiments are only used to illustrate the technical solution of the present invention., rather than its limitations；To the greatest extent
Present invention has been described in detail with reference to the aforementioned embodiments for pipe, those skilled in the art should understand that：Its according to
So be possible to modify the technical solutions described in the foregoing embodiments, or to some or all of the technical features into
Row equivalent replacement；And these are modified or replaceed, various embodiments of the present invention technology that it does not separate the essence of the corresponding technical solution
The range of scheme.
Claims (4)
1. the calculation method of a kind of meter and the Resistive Voltage Transformer voltage's distribiuting of stray capacitance, which is characterized in that including：
S1：Resitstance voltage divider is divided into n minute cells, calculates the stray capacitance of each unit of resitstance voltage divider；
S2：According to the stray capacitance of described each unit acquired, the voltage point of resitstance voltage divider is acquired using the nodal method of analysis
Cloth；
S3：According to the voltage's distribiuting acquired, and then stray capacitance is found out to the intrinsic standoff ratio and phase of Resistive Voltage Transformer
Position deviation.
2. the calculation method of meter according to claim 1 and the Resistive Voltage Transformer voltage's distribiuting of stray capacitance,
Be characterized in that, resitstance voltage divider is divided into n minute cells along axial direction by the step S1, each unit of resitstance voltage divider it is miscellaneous
The calculating process of spurious capacitance further includes：
S101：Calculate each cell surface charge；
S102：Calculate each unit stray capacitance on the ground；
S103：Each unit is calculated to the stray capacitance of high-voltage end.
3. the calculation method of meter according to claim 1 or 2 and the Resistive Voltage Transformer voltage's distribiuting of stray capacitance,
It is characterized in that, the process for the voltage's distribiuting for seeking resitstance voltage divider in the step S2 is as follows：
S201：Resitstance voltage divider is divided into n minute cells in step S1, when n is sufficiently large, each minute cells are considered as
One node is greatly used as reference mode, if high-voltage end node voltage isCalculate node voltage equation；
S202：The nodal voltage equation is rewritten to arrange and obtains n equation group；
S203：Show that resistor divider voltage is distributed by n equation group described in operation.
4. the calculation method of meter according to claim 1 and the Resistive Voltage Transformer voltage's distribiuting of stray capacitance,
It is characterized in that, the calculating process of Resistive Voltage Transformer intrinsic standoff ratio and phase deviation is as follows in the step S3：
It calculates resitstance voltage divider ontology stray capacitance and causes intrinsic standoff ratio deviation：
K in formulaN=1+R1/R2For ideal resistance voltage divider ratio；
Calculate voltage-phase deviation caused by resitstance voltage divider ontology stray capacitance：
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112072687A (en) * | 2020-08-24 | 2020-12-11 | 华南理工大学 | Method for determining stray capacitance value of alternating current filter |
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| US4422034A (en) * | 1980-01-22 | 1983-12-20 | Toyo Sushinki Kabushiki Kaisha | Method for measuring insulation resistance and device therefor |
| CN106249052A (en) * | 2016-07-15 | 2016-12-21 | 国网四川省电力公司电力科学研究院 | A kind of capacitance type potential transformer stray capacitance computational methods |
| CN106610482A (en) * | 2015-10-27 | 2017-05-03 | 国网智能电网研究院 | Method for analyzing impact on accuracy of capacitive-type voltage transformer from stray capacitance |
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2018
- 2018-09-07 CN CN201811046252.2A patent/CN108845176B/en active Active
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|---|---|---|---|---|
| US4422034A (en) * | 1980-01-22 | 1983-12-20 | Toyo Sushinki Kabushiki Kaisha | Method for measuring insulation resistance and device therefor |
| CN106610482A (en) * | 2015-10-27 | 2017-05-03 | 国网智能电网研究院 | Method for analyzing impact on accuracy of capacitive-type voltage transformer from stray capacitance |
| CN106249052A (en) * | 2016-07-15 | 2016-12-21 | 国网四川省电力公司电力科学研究院 | A kind of capacitance type potential transformer stray capacitance computational methods |
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| 周凯: "外电场对电容式电压互感器误差特性影响研究", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 * |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112072687A (en) * | 2020-08-24 | 2020-12-11 | 华南理工大学 | Method for determining stray capacitance value of alternating current filter |
| CN112072687B (en) * | 2020-08-24 | 2022-01-18 | 华南理工大学 | Method for determining stray capacitance value of alternating current filter |
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