CN117388471A - Insulation paper life loss rate calculation method and calculation device - Google Patents
Insulation paper life loss rate calculation method and calculation device Download PDFInfo
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- 238000009413 insulation Methods 0.000 title claims abstract description 34
- 238000004364 calculation method Methods 0.000 title claims abstract description 28
- 230000032683 aging Effects 0.000 claims abstract description 54
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- 239000003921 oil Substances 0.000 description 9
- 238000004590 computer program Methods 0.000 description 7
- 238000005070 sampling Methods 0.000 description 7
- 239000000835 fiber Substances 0.000 description 6
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- 238000012986 modification Methods 0.000 description 5
- 230000004048 modification Effects 0.000 description 5
- 238000012545 processing Methods 0.000 description 4
- 229920002678 cellulose Polymers 0.000 description 3
- 239000001913 cellulose Substances 0.000 description 3
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- 239000002480 mineral oil Substances 0.000 description 2
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- 239000002655 kraft paper Substances 0.000 description 1
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- 230000007774 longterm Effects 0.000 description 1
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Abstract
The invention belongs to the technical field of oiled paper insulation, and relates to a method and a device for calculating service life loss rate of insulating paper. In the calculation method, the service life loss rate of the insulating paper for the oil paper insulation of the oil-immersed power transformer is calculated by considering the limit polymerization degree of the insulating paper and the time-varying load, and the method comprises the following steps: measuring DP of insulation paper at different aging moments t at preset constant temperature t A value; drawing a change curve DP of the DP value with the aging time t at the constant temperature t‑t The method comprises the steps of carrying out a first treatment on the surface of the At least three sets of parameters k at different temperatures according to fitting 10 And k 2 Calculating to obtain LODP values at different heat aging test temperatures; taking the hottest spot in the transformer as a calculation object, and calculating the DP of the hot spot at the time-varying temperature t Curve DP of the value as a function of the aging time t t‑t And calculating and predicting the service life loss rate of the insulating paper insulated by the transformer oil paper. The computing device is used for realizing the computing method. The inventionThe error of predicting the service life loss rate of the insulating paper is obviously reduced.
Description
Technical Field
The invention belongs to the technical field of oil paper insulation, and relates to an insulation paper life loss rate calculation method and a calculation device.
Background
The oil paper insulation composed of mineral oil and insulation paper is a main insulation material of a large oil immersed power transformer, the insulation paper is generally fiber insulation paper, and the insulation paper is affected by factors such as electricity, heat and machinery in the running process of equipment and can be aged gradually.
The life of the insulating paper determines the technical life of the power transformer, and the degree of polymerization is generally used as a direct indicator for measuring the degree of deterioration of the insulating paper. The initial polymerization degree value of the insulating paper of the new insulating paper is about 1200, and when the limit polymerization degree value of the insulating paper is lowered to about 200, it is considered that the lifetime end has been reached. The research shows that the equipment operation temperature and the thermal ageing play a decisive role in the service life of the insulating paper, and the thermal life model of the insulating paper insulation commonly used in the research describes the law of the change of the polymerization degree of the insulating paper with time at different temperatures, so that the determination of the thermal life model of the insulating paper insulation and parameters thereof plays an important role in equipment insulation design and insulating paper residual life assessment.
In the prior art, three common oilpaper insulation thermal life models are provided:
model one: taking the ageing rate at 98 ℃ as a reference value, the ageing rate at the temperature is considered to be 1, the thermal ageing rate of the oiled paper insulation is given by a 6 ℃ half life criterion as given by the mineral oil transformer guide IEEE Std C57.91-1995, and the service life of the insulation paper is considered to be halved and the ageing rate is doubled every 6 ℃ of the temperature. Limitations of this model: only the relative aging rate at the reference temperature of 98 ℃ can be roughly described, the difference of the aging rates of the cellulose of the insulating paper at different polymerization degrees is not considered, and the absolute value time-varying rule of the polymerization degree of the insulating paper cannot be described.
Model two: and providing a fiber thermal degradation zero-order kinetic equation, and considering the fiber chain breakage rate of the insulating paper at a given temperature as a constant, so as to be used for fitting aging data. Limitations of this model: the initial fit is better in the case of ageing of the insulating paper, but the fit data does not match the actual test data in the case of long-term ageing, especially in the latter case of ageing.
Model three: for the time-varying law of the polymerization degree value of the insulating paper insulated by the oilpaper, a second-order kinetic equation is proposed, and the degradation rate of the insulating paper fiber is considered to be a value which changes with time. Limitations of this model: so far, the quantitative relation between the model part parameter and the temperature is still unknown, so that the model cannot be used for calculating the change characteristic of the polymerization degree value of the insulating paper at the time-varying temperature.
Disclosure of Invention
Aiming at the limitations in the prior art, the invention provides a calculation method considering the time-varying characteristic of DP value in the thermal aging process of oil paper insulating paperThe DP of the insulating paper at the time-varying temperature is calculated by researching the key parameters related to the aging temperature of the insulating paper and the relation between the LODP value and the temperature t-t And (3) the curve is used for calculating and predicting the service life loss rate of the insulating paper insulated by the transformer oil paper.
In the invention, for convenience of text description, the following technical terms are defined: DP is an abbreviation of Degree of Polymerization, and refers to the polymerization degree of the insulating paper; secondly, LODP value, LODP is a leveling-Off Degree of Polymerization value, and LODP value refers to the limit polymerization degree value of the insulating paper; thirdly, DP t The value refers to the polymerization degree value of the insulating paper at the aging time t; DP IV 0 Value, which is the initial polymerization degree value of the insulating paper; DP IV t-t The curve represents the change curve of the DP value with the aging time t, the abscissa axis is the aging time t, and the ordinate axis is the DP value.
In order to achieve the above object, the present invention provides the following technical solutions:
the method for calculating the service life loss rate of the insulating paper comprises the following steps:
measuring DP of insulating paper at different ageing moments t at preset constant temperature t A value, wherein the DP t The value refers to the polymerization degree value of the insulating paper at the aging time t;
DP according to the resulting insulating paper t Drawing a change curve DP of the DP value with the aging time t at the preset constant temperature t-t Wherein the DP value refers to the degree of polymerization value of the insulating paper;
for the change curve DP t-t Fitting to obtain corresponding parameter k 10 And k 2 ；
Changing the preset constant temperature, repeatedly executing to obtain corresponding parameters k at different constant temperatures 10 And k 2 Obtaining at least three groups of parameters k at preset constant temperature 10 And k 2 ；
Obtaining at least three sets of parameters k 10 And k 2 A relationship with a corresponding predetermined constant temperature;
at least three preset constant groups obtained by fittingParameter k at temperature 10 And k 2 Calculating to obtain LODP values at different constant temperatures of thermal ageing tests, wherein the LODP values refer to limit polymerization degree values of the insulating paper;
taking the hottest spot in the transformer as a calculation object, and calculating the DP of the hottest spot in the transformer at the time-varying temperature t Curve DP of the value as a function of the aging time t t-t Wherein the hottest spot inside the transformer is the place with the highest temperature inside the transformer;
according to the change curve DP t-t And predicting the service life loss rate of the insulating paper.
Preferably, equation (1) is used for the change curve DP t-t Fitting to obtain corresponding parameter k 10 And k 2 Parameter k 10 And k 2 Only the fitting result is shown, no actual technical meaning exists, and other letters can be used for substitution;
in equation 1, e is a base of natural logarithm, and its value is about 2.718.
Fitting according to formulas (2), (3) and (4) and obtaining at least three sets of parameters k 10 And k 2 A relationship with a corresponding predetermined constant temperature;
A 1 and E is a1 The pre-finger factor and the activation energy of the chemical reaction are respectively referred to, R is Boltzmann constant, T is the absolute temperature of the test, and exp is the natural logarithmic base.
Preferably, the LODP value at different preset constant temperatures is calculated using equation (5):
an insulation paper life loss rate calculation device includes:
change profile DP t-t The drawing module is used for measuring the DP of the insulating paper at different ageing moments t at preset constant temperature t A value, wherein the DP t The value refers to the polymerization degree value of the insulating paper at the aging time t; DP according to the resulting insulating paper t Value drawing the change curve DP of DP value with aging time t at the constant temperature t-t Wherein the DP value refers to the degree of polymerization value of the insulating paper;
change profile DP t-t Fitting module for fitting the change curve DP t-t Fitting to obtain corresponding parameter k 10 And k 2 The method comprises the steps of carrying out a first treatment on the surface of the Changing the preset constant temperature, repeatedly executing to obtain corresponding parameters k at different constant temperatures 10 And k 2 Obtaining at least three parameters k at a predetermined temperature 10 And k 2 ；
A LODP value calculation module for obtaining at least three groups of parameters k 10 And k 2 A relationship with a corresponding predetermined constant temperature; at least three sets of parameters k at different temperatures according to fitting 10 And k 2 Calculating to obtain LODP values at different heat aging test temperatures, wherein the LODP values refer to the limit polymerization degree values of the insulating paper;
inside hottest spot change curve DP of transformer t-t The calculating module is used for calculating the DP of the hottest point in the transformer under the time-varying temperature by taking the hottest point in the transformer as a calculating object t Curve DP of the value as a function of the aging time t t-t Wherein the hottest spot inside the transformer is the place with the highest temperature inside the transformer;
insulating paper lifeA life loss rate calculation and prediction module for calculating a life loss rate according to the change curve DP t-t And predicting the service life loss rate of the insulating paper.
The functional module can be installed and operated in a computer, and is matched with a temperature adjusting device and a timing device to carry out a prediction test.
Preferably, the change profile DP t-t Fitting module, which adopts formula (1) to apply the change curve DP t-t Fitting to obtain corresponding parameter k 10 And k 2 ：
In equation 1, e is a base of natural logarithm, and its value is about 2.718.
Fitting according to formulas (2), (3) and (4) to obtain at least three groups of parameters k 10 And k 2 A relationship with a corresponding predetermined constant temperature;
A 1 and E is a1 Respectively referring to a pre-finger factor and activation energy of chemical reaction, wherein R is Boltzmann constant, T is absolute temperature of a test, and exp is natural logarithmic base number;
preferably, the LODP value calculation module calculates LODP values at different preset constant temperatures by using a formula (5);
in the present invention, the meaning of time-varying temperature is: the temperature changes along with the aging time, and is not a constant value, namely the time-varying temperature.
Compared with the prior art, the invention has the beneficial effects that:
1. the invention can realize multi-parameter nondestructive evaluation of the service life loss rate of the insulating paper insulated by the transformer oil paper, and improve the accuracy and practicability of the polymerization degree evaluation;
2. the invention can simultaneously calculate the time-varying curve DP of the DP value of the transformer hot spot according to the key parameters of the transformer insulation paper and the relation between the LODP value and the temperature and the time-varying curve DP of the DP value of the transformer hot spot at the time-varying temperature t-t And calculating, wherein the LODP value and the time-varying temperature factor are included in a transformer oil paper insulation life loss rate calculation model, so that the error of the insulation paper life loss rate prediction is reduced, and the reliability of the prediction result is improved.
Drawings
FIG. 1 is a 1/DP of the first embodiment of the invention t -1/DP 0 Schematic diagram of corresponding relation with time t;
FIG. 2 shows the hot spot temperature and DP at the normal load rate according to the first embodiment of the invention t-t A schematic diagram of a graph;
FIG. 3 is a schematic diagram of simulated hot spot temperature and DP under three emergency overloads according to an embodiment of the invention t-t Schematic diagram of the curve.
Detailed Description
Specific embodiments of the present invention will be described below by way of practical examples.
Example 1
The method for calculating the service life loss rate of the insulating paper comprises the following steps:
1. carrying out an accelerated thermal ageing test of the insulating paper insulated by the oil paper at least three temperatures, and sampling and measuring the DP value of the insulating paper at regular time until the DP value reaches the LODP value or the DP value is less than 200 at each temperature;
the selection principle of the temperature is as follows: the principle of balancing the aging efficiency and the aging mechanism is unchanged, the aging mechanism can not be equivalent when the temperature is too low and is too high, and the temperature is usually recommended to be selected within the range of 90-130 ℃, at least three temperatures are adopted, and the interval is as uniform as possible.
The sampling interval depends on the aging temperature and the number of sampling points required, for example, the lifetime of the insulating paper is 30 days at 130 degrees celsius, 10 data points are sampled, and the sampling time is 3 days once. At 90 degrees celsius, the lifetime of the insulating paper is 90 days, 10 data points are sampled, and the sampling time is 9 days once.
The method for sampling and measuring the DP value and the LODP value of the insulating paper is the prior art, and the specific measuring method is according to the standard GB/T29305-2012, or IEC60450:2007 measurements were made. The values of LODP for the insulation papers are different for different test temperatures and different combinations of oiled paper insulation, so measurements are required.
DP measured at typically three consecutive sampling intervals t A value change of less than 5% is considered that the sample insulation paper reached the LODP value.
2. Plotting the change curve DP of DP with aging time t (day, or hour) at each temperature t-t The formula (1) is adopted for DP t-t Fitting to obtain a parameter k 10 And k 2 A value;
3. calculating to obtain k 10 And k is equal to 2 And adopts the formula (2) to calculate the parameter k at different temperatures 10 And k 2 Fitting to obtain A 1 And E is a1 A value;
4. k at different temperatures by using the formula (3) 10 Fitting to obtain A 2 And E is a2 A value;
5. obtaining k by adopting a formula (4) 2 Value:
6. further, the LODP values at different temperatures can be obtained as shown in formula (5):
in this way, the critical parameter k of the insulating paper material is obtained 10 、k 2 And the relation between the LODP value and the temperature, and then calculating the DP of the transformer hot spot with the time-varying temperature along with the change of the aging time t t-t A curve.
7. Let y=1/DP t -1/DP 0 Y represents the insulation slave DP 0 Value drops to current DP t Value is exceededAverage number of chain scission in a pass. The y versus t relationship is shown in FIG. 1. One cellulose chain breaks at the 1-4-beta glycosidic bond, breaking down into two shorter cellulose chains, known as a one-time break. y is the initial polymerization degree DP of the fiber from the insulation paper 0 The value state is reduced to the polymerization degree DP of the insulating paper at the aging time t t Average number of broken links experienced during the course of the values.
8. For any aging time t a The corresponding number of broken chains is denoted as y a For any point (t a ,y a ) Deriving y can obtain the chain breakage rate k at any moment, as shown in formula (6):
k＝dy/dt＝k 10 exp(-k 2 t) (6)
i.e. the slope of the point in fig. 1.
9. Consider a unit time d t The aging temperature of the inner insulating paper is T, and the state of the insulating paper fiber is from y a Change to y b The average chain breakage times increase by d y Then y b Can be expressed as formula (7):
according to this, if the insulating paper is known to be at a certain time t a DP of (d) a The value, then, can be calculated to experience d at T aging temperature t Post DP b Value of d t For a sufficient time, the DP of the insulating paper material at the time-varying temperature can be obtained t-t A curve.
The change curve of DP with aging time has been calculated, meaning that knowing the DP value at each time, the rate of life loss of the insulating paper = (DP) t value-DP 0 value)/DP 0 The value gives the insulation paper life loss rate.
The actual measurement load of a certain 330kV oil immersed power transformer in a certain year for 1-12 months is taken as basic data, and the recording period of the load is once an hour. The hot spot temperature Th thereof was estimated according to the model in IEC 60076-7, and the results are shown in fig. 2 and 3. The average hot spot temperature of the transformer was about 42.3 ℃ during the 12 months, with a maximum hot spot temperature of less than 90 ℃.
Because the transformer adopts mineral insulating oil-impregnated kraft paper as insulating paper, and tests are carried out according to the steps involved in the content of the invention, each key parameter required by calculation can be obtained, and the values are as follows:
assuming that the transformer is newly put into operation, DP 0 Assuming the value is 1162, the change curve of the DP value in one year is shown in the upper graph in fig. 2. It can be seen that the decrease is not significant because the DP value is already close to the LODP value at this temperature for the majority of the time due to the lower average hot spot temperature, which is considered to be an aging rate of 0; the decrease in polymerization is evident from month of October to month of December, and during this time the hot spot temperature increases significantly due to the increase in electrical load.
In addition, fig. 3 simulates the rise in the hot spot temperature caused by three emergency overloads, each lasting for 2 hours, 8 hours and 4 hours, with the hot spot temperature for three times being 120 ℃.
In fig. 2, when no emergency overload occurs, the insulation paper life loss rate= (DP t value-DP 0 value)/DP 0 Value = (1162-1042)/1162 = 10.33%. In fig. 3, when there is an emergency overload, the insulating paper life loss rate= (1162-1007)/1162=13.34%. It can be seen that an emergency overload of only 14 hours increases the insulation paper life loss rate by 3% over the case where no emergency overload occurs.
In fig. 2 and 3, operating means transformer operation and Emergency load means Emergency overload.
Example two
An insulation paper life loss rate calculation device includes: change profile DP t-t Drawing module and change curve DP t-t Fitting module, LODP value calculation module and transformer internal hottest point change curve DP t-t Calculation ofAnd the module and the insulating paper life loss rate calculation and prediction module.
It will be appreciated by those skilled in the art that embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein. The scheme in the embodiment of the invention can be realized by adopting various computer languages, such as object-oriented programming language Java, an transliteration script language JavaScript and the like.
The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
While preferred embodiments of the present invention have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. It is therefore intended that the following claims be interpreted as including the preferred embodiments and all such alterations and modifications as fall within the scope of the invention.
It will be apparent to those skilled in the art that various modifications and variations can be made to the present invention without departing from the spirit or scope of the invention. Thus, it is intended that the present invention also include such modifications and alterations insofar as they come within the scope of the appended claims or the equivalents thereof.
In the embodiments of the present invention, technical features that are not described in detail are all existing technologies or conventional technical means, and are not described herein.
Finally, it should be noted that: the above examples are only specific embodiments of the present invention, and are not intended to limit the scope of the present invention. Those skilled in the art will appreciate that: any person skilled in the art may modify or easily conceive of changes to the technical solutions described in the foregoing embodiments or make equivalent substitutions for some of the technical features within the technical scope of the present disclosure; such modifications, changes or substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention, and are intended to be included in the scope of the present invention.
Claims (6)
1. The method for calculating the service life loss rate of the insulating paper is characterized by comprising the following steps:
measuring DP of insulating paper at different ageing moments t at preset constant temperature t A value, wherein the DP t The value refers to the polymerization degree of the insulating paper at the aging time tA value;
DP according to the resulting insulating paper t Drawing a change curve DP of the DP value with the aging time t at the preset constant temperature t-t Wherein the DP value refers to the degree of polymerization value of the insulating paper;
for the change curve DP t-t Fitting to obtain corresponding parameter k 10 And k 2 ；
Changing the preset constant temperature, repeatedly executing to obtain corresponding parameters k at different constant temperatures 10 And k 2 Obtaining at least three groups of parameters k at preset constant temperature 10 And k 2 ；
Obtaining at least three sets of parameters k 10 And k 2 A relationship with a corresponding predetermined constant temperature;
according to at least three groups of parameters k at preset constant temperature obtained by fitting 10 And k 2 Calculating to obtain LODP values at different constant temperatures of thermal ageing tests, wherein the LODP values refer to limit polymerization degree values of the insulating paper;
taking the hottest spot in the transformer as a calculation object, and calculating the DP of the hottest spot in the transformer at the time-varying temperature t Curve DP of the value as a function of the aging time t t-t Wherein the hottest spot inside the transformer is the place with the highest temperature inside the transformer;
according to the change curve DP t-t And predicting the service life loss rate of the insulating paper.
2. The method for calculating the loss of life of an insulating paper according to claim 1, wherein the change curve DP is calculated by using the formula (1) t-t Fitting to obtain corresponding parameter k 10 And k 2 ：
In formula 1, e is the base of natural logarithm;
fitting according to formulas (2), (3) and (4),obtaining at least three sets of parameters k 10 And k 2 A relationship with a corresponding predetermined constant temperature;
A 1 and E is a1 Respectively referring to a pre-finger factor and activation energy of chemical reaction, wherein R is Boltzmann constant, T is absolute temperature of a test, and exp is natural logarithmic base number;
3. the method for calculating the loss of life of insulating paper according to claim 2, wherein the LODP values at different preset constant temperatures are calculated using formula (5):
4. an insulation paper life loss rate calculation device, comprising:
change profile DP t-t The drawing module is used for measuring the DP of the insulating paper at different ageing moments t at preset constant temperature t A value, wherein the DP t The value refers to the polymerization degree value of the insulating paper at the aging time t; DP according to the resulting insulating paper t Value drawing the change curve DP of DP value with aging time t at the constant temperature t-t Wherein the DP value refers to the degree of polymerization value of the insulating paper;
change profile DP t-t Fitting module for the changeCurve DP t-t Fitting to obtain corresponding parameter k 10 And k 2 The method comprises the steps of carrying out a first treatment on the surface of the Changing the preset constant temperature, repeatedly executing to obtain corresponding parameters k at different constant temperatures 10 And k 2 Obtaining at least three parameters k at a predetermined temperature 10 And k 2 ；
A LODP value calculation module for obtaining at least three groups of parameters k 10 And k 2 A relationship with a corresponding predetermined constant temperature; at least three sets of parameters k at different temperatures according to fitting 10 And k 2 Calculating to obtain LODP values at different heat aging test temperatures, wherein the LODP values refer to the limit polymerization degree values of the insulating paper;
inside hottest spot change curve DP of transformer t-t The calculating module is used for calculating the DP of the hottest point in the transformer under the time-varying temperature by taking the hottest point in the transformer as a calculating object t Curve DP of the value as a function of the aging time t t-t Wherein the hottest spot inside the transformer is the place with the highest temperature inside the transformer;
the insulating paper life loss rate calculation and prediction module is used for calculating and predicting the life loss rate according to the change curve DP t-t And predicting the service life loss rate of the insulating paper.
5. The insulation paper life loss rate calculation device according to claim 4, wherein the change curve DP t-t Fitting module, which adopts formula (1) to apply the change curve DP t-t Fitting to obtain corresponding parameter k 10 And k 2 ：
In formula 1, e is the base of natural logarithm;
fitting according to formulas (2), (3) and (4) to obtain at least three groups of parameters k 10 And k 2 A relationship with a corresponding predetermined constant temperature;
A 1 and E is a1 Respectively referring to a pre-finger factor and activation energy of chemical reaction, wherein R is Boltzmann constant, T is absolute temperature of a test, and exp is natural logarithmic base number;
6. the insulation paper life loss rate calculation apparatus according to claim 4, wherein the LODP value calculation module calculates LODP values at different preset constant temperatures using formula (5);
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