CN102495094A - Online calculation method of enthalpy-entropy values of water and water vapor - Google Patents
Online calculation method of enthalpy-entropy values of water and water vapor Download PDFInfo
- Publication number
- CN102495094A CN102495094A CN2011104256244A CN201110425624A CN102495094A CN 102495094 A CN102495094 A CN 102495094A CN 2011104256244 A CN2011104256244 A CN 2011104256244A CN 201110425624 A CN201110425624 A CN 201110425624A CN 102495094 A CN102495094 A CN 102495094A
- Authority
- CN
- China
- Prior art keywords
- water
- water vapor
- temperature
- steam
- pressure
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 title claims abstract description 199
- 238000004364 calculation method Methods 0.000 title claims abstract description 29
- 238000000034 method Methods 0.000 claims abstract description 26
- 238000012544 monitoring process Methods 0.000 abstract description 5
- 238000004519 manufacturing process Methods 0.000 abstract description 3
- 238000010586 diagram Methods 0.000 description 3
- 239000007788 liquid Substances 0.000 description 3
- 229920006395 saturated elastomer Polymers 0.000 description 3
- 238000004891 communication Methods 0.000 description 2
- 238000009776 industrial production Methods 0.000 description 2
- 230000000704 physical effect Effects 0.000 description 2
- 241000282414 Homo sapiens Species 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- 239000008235 industrial water Substances 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 239000002245 particle Substances 0.000 description 1
- 230000008092 positive effect Effects 0.000 description 1
Images
Landscapes
- Feedback Control In General (AREA)
Abstract
The invention discloses an online calculation method of enthalpy-entropy values of water and water vapor. Based on an industrial calculation model IAPWS-IF97 formula and a Symphony system of the water and the water vapor, the method comprises the following steps of: firstly, measuring temperatures and pressures of the water and the water vapor by a sensor in real time and judging areas corresponding to the water and the water vapor according to the temperatures and the pressures; and then calculating the enthalpy-entropy values of the water and the water vapor according to the formulas of the corresponding areas of the water and the water vapor. According to the method provided by the invention, the enthalpy-entropy values of the water and the water vapor can be calculated in real time; and meanwhile, the method further has the advantages of high precision, less calculation time consumption, wide applicable range and the like. The method provided by the invention can be used for monitoring a production process, in which the water and the water vapor are utilized as working media, in real time.
Description
Technical Field
The invention belongs to a calculation method of thermodynamic coefficients, and particularly relates to an online calculation method of enthalpy entropy values of water and water vapor.
Background
The water vapor is the earliest working medium applied to indirect utilization of heat energy by human beings. The vapor is close to the liquid, the acting force between the microscopic particles is large, the molecules occupy a considerable volume, and the gas-liquid state is changed in the working process. Therefore, vapor cannot be treated as an ideal gas, its physical properties are much more complex than those of an ideal gas, and its equation of state, thermodynamic performance, enthalpy, and entropy are not as simple as those of an ideal gas. The engineering calculation of the vapor is generally to directly find a vapor thermodynamic property chart compiled for the engineering calculation or to call a vapor thermodynamic property subroutine by electric calculation, and the calculation and analysis of the thermodynamic process can only be carried out according to a basic law of thermodynamics and the thermodynamic property chart.
In the current engineering calculation of steam, theAnd there are generally two methods to calculate the entropy of water and steam enthalpies. The first is directly obtained by inquiring through an enthalpy entropy diagram of water and water vapor. Entropy diagram, also known ash-sThe figure is a water vapor line diagram which is widely used in heat engineering and takes enthalpy as an ordinate and entropy as an abscissa. The method can accurately inquire the thermodynamic parameters of water and steam, but can only be applied to simple calculation of the thermotechnical process due to the limitation of operation.
The second method is to calculate the thermal physical properties of water and steam and compile the calculation software. Knowing 1 or 2 thermodynamic parameter values (such as pressure and temperature) of saturated water, saturated steam and superheated steam, parameter values such as enthalpy value, entropy value, specific volume, specific heat, prandtl number and the like can be inquired immediately. When the method is used, firstly, software for calculating the thermophysical properties of water and steam is required to be installed on a PC, and the thermodynamic parameters of the working medium are required to be manually input when the method is used. The method has the limitations that the accuracy of the calculation result depends on the selection of software, and the process is complicated and poor in operability.
The two methods for calculating the enthalpy entropy values of water and steam are only obtained manually according to the existing off-line data, or obtained by manually inputting water and steam measurement parameters in a computer application program, but cannot be obtained on line, so that the enthalpy entropy values of water and steam cannot be obtained in real time. In actual industrial production, for a production process using water and water vapor as working media, such as embedded thermal power plant unit online performance monitoring based on Symphony, an offline water and water vapor enthalpy entropy determination method cannot obtain required thermodynamic parameters in real time, so that online performance calculation of the whole unit cannot be completed.
Disclosure of Invention
Aiming at the existing problems, the invention provides the online calculation method of the water and water vapor enthalpy entropy values, which can realize real-time calculation of the water and water vapor enthalpy entropy values and has the characteristics of high precision, less calculation time consumption and wide application range.
In order to solve the technical problems, the invention adopts the following technical scheme:
an online calculation method for enthalpy entropy values of water and water vapor comprises the following steps:
s1, acquiring on-line water and water vapor thermodynamic parameters: temperature ofTAnd pressurePIf the obtained temperatures of the on-line water and the water vapor are equalTConverting the temperature into the temperature of Kelvin when the temperature is centigrade;
s2, if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S3; if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S4; if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S6; if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S8;
s3 temperatures of water and steam obtained according to step S1TFinding the saturation pressure on the saturation lineP12, comparing the water and the water vapor pressure obtained in the step S1PAndP12, ifP>P12, executing step S5; otherwise, executing step S6;
s4 temperatures of water and steam obtained according to step S1TSolving for boundary pressure by using equation B23P23, ratioThe pressure of the water and the steam obtained in the step S1 is comparedPAndP23, ifP>P23, go to step S7; otherwise, executing step S6;
s5, water and steam are in zone 1, the water and steam temperature obtained according to step S1TAnd pressureP、And the formula of the region 1 calculates and outputs the enthalpy entropy values of water and water vapor on line;
s6, water and steam in zone 2, water and steam temperature from step S1TAnd pressureP、And the formula of the region 2 calculates and outputs the enthalpy entropy values of water and steam on line;
s7, water and steam in zone 3, water and steam temperature from step S1TAnd density 、And the formula of the region 3 calculates and outputs the enthalpy entropy values of water and water vapor on line;
s8, water and steam in zone 5, water and steam temperature from step S1TAnd pressureP、And the formula of the area 5 calculates the enthalpy entropy values of water and water vapor on line and outputs the values.
Water and steam thermodynamic parameter temperature in step S1TAnd pressurePCollected by a sensor.
The hardware platform applicable to the method is a DCS product Symphony System of ABB company, software is directly loaded in a special controller BRC300 of the Symphony System, and communication between the BRC300 and DCS (Distributed Control System) ring network data is realized.
Compared with the prior art, the invention has the following advantages and positive effects:
the method can realize real-time calculation of the enthalpy entropy values of water and steam, and has the advantages of high precision, less calculation time consumption, wide application range and the like. The method can be used for monitoring the production process taking water and steam as working media in real time, for example, the method can be used for monitoring the online performance of a thermal power plant unit.
Drawings
FIG. 1 is a flow chart of the method of the present invention.
Detailed Description
The method is based on an industrial calculation model IAPWS-IF97 formula and a Symphony system of water and water vapor, firstly, the temperature and the pressure of the water and the water vapor are measured in real time through a sensor, areas corresponding to the water and the water vapor are judged according to the numerical values of the temperature and the pressure, then, the enthalpy entropy value of the water and the water vapor is calculated according to the area formula corresponding to the water and the water vapor, and the calculation result can be used for on-line monitoring of the performance of a unit of a thermal power plant.
The hardware platform applicable to the method is a DCS product Symphony System of ABB company, software is directly loaded in a special controller BRC300 of the Symphony System, and communication between the BRC300 and DCS (Distributed Control System) ring network data is realized.
The method of the present invention will be further described with reference to the accompanying drawings and specific embodiments.
The invention provides a method for calculating the enthalpy entropy values of water and water vapor on line, which comprises the following specific steps:
s1, acquiring on-line water and water vapor thermodynamic parameters: temperature ofTAnd pressurePIf the obtained temperatures of the on-line water and the water vapor are equalTIn degrees celsius, it is converted to kelvin.
Water and steam thermodynamic parameter temperatureTAnd pressurePThe temperature of water and vapor can be respectively collected by a WZP integrated temperature sensor and an HDP503 pressure sensor in the specific implementationTAnd pressureP. Collected temperatureTGenerally, the temperature is centigrade, and the corresponding kelvin temperature is also required to be converted, that is, 273.5 is added to the value of the centigrade, namely, the kelvin temperature is obtained.
S2, if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S3; if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S4; if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S6; if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen step S8 is executed.
S3 temperatures of water and steam obtained according to step S1TFinding the saturation pressure on the saturation lineP12, comparing the water and the water vapor pressure obtained in the step S1PAndP12, ifP>P12, executing step S5; otherwise, step S6 is executed.
Wherein,
, ,,,n 1~n 10the coefficient is obtained by referring to an IAPWS-IF97 formula for specific values, wherein the IAPWS-IF97 formula is an international general industrial water and water vapor thermal property calculation formula, and the formula is IAPWS-IF 97:n 1= 0.11670521452767×104,
n 2= - 0.724213 16703206×106,n 3= - 0.17073846940092×102,n 4=0.12020824702470×105,
n 5= - 0.323 255503223×107,n 6=0.14915108613530×102,n 7= - 0.48232657361591×104,n 8=0.40511340542057×106,n 9= - 0.23855557567849,n 10= 0.65017534844798×103;
Tthe temperature of the water and the water vapor obtained in step S1;
s4 temperatures of water and steam obtained according to step S1TSolving for boundary pressure by using equation B23P23, comparing the water and the water vapor pressure obtained in the step S1PAndP23, ifP>P23, go to step S7; otherwise, step S6 is executed.
According to the formula、Andthe B23 equation can be derived:the boundary pressure is obtained from the B23 equationP23;
Wherein,
Tthe temperature of the water and the water vapor obtained in step S1;
n 3~n 5the specific value of the coefficient refers to an IAPWS-IF97 formula, and can be obtained through the IAPWS-IF97 formula:n 3=0.10192970039326×10-2,n 4=0.57254459862746×103,n 5=0.13918839778870×102。
s5, water and water vapor are in area 1, area 1 is a normal water area, and the water and water vapor temperature is obtained according to the step S1TAnd pressureP、And the formula of the region 1 calculates the enthalpy entropy values of water and water vapor on line and outputs the values.
Region 1 is formulated as a free enthalpy equation,Entropy values for water and water vapor enthalpies in region 1, where:
TandPthe temperature and pressure of the water and the water vapor obtained in step S1, respectively;
Ris a natural index;
coefficient of performancen iIndex ofI i AndJ i the specific values of (A) are all referred to an IAPWS-IF97 formula.
S6, water and water vapor are in region 2, region 2 is the superheated vapor region, and the water and water vapor temperature obtained in step S1TAnd pressureP、And the area 2 formula calculates and outputs the enthalpy entropy values of water and water vapor on line.
The formula of the region 2 is a dimensionless ratio free enthalpy equation,Entropy values for water and water vapor enthalpies in region 2, where:
expressing a dimensionless free enthalpy function for the ideal gas portion;
Ris a natural index;
TandPthe temperature and pressure of the water and the water vapor obtained in step S1, respectively;
coefficient of performancen iIndex ofI i AndJ i the specific values of (A) are all referred to an IAPWS-IF97 formula.
S7, water and water vapor are in region 3, wherein region 3 is critical water region and saturated region, obtained according to step S1Water and steam temperatureTAnd density 、And the formula of the region 3 calculates the enthalpy entropy values of water and water vapor on line and outputs the values.
The region 3 formula is based onHelmholtz(Helmholtz) free energyfThe formula is suitable for a metastable state gas-liquid two-phase region, and the formula in the region 3 is,Entropy values for water and water vapor enthalpies in region 3, where:
Tthe temperature of the water and the water vapor obtained in step S1;
Ris a natural index;
coefficient of performancen 1Index ofI i AndJ i the specific values of (A) are all referred to an IAPWS-IF97 formula.
S8, water and water vapor are in zone 5, zone 5 is a new increased high temperature zone, and the water and water vapor temperature obtained according to step S1TAnd pressureP、And the formula of the area 5 calculates the enthalpy entropy values of water and water vapor on line and outputs the values.
The region 5 formula is based onGibbs (Gibbs) free energygIs applied to non-dissociated water, and the region 5 is represented by,Entropy values for water and water vapor enthalpies in region 5, where:
Ris a natural index;
TandPthe temperature and pressure of the water and the water vapor obtained in step S1, respectively;
coefficient of performancen iIndex ofI i AndJ i the fitting values of (a) are specifically referred to the IAPWS-IF97 formula. The formula is obtained through IAPWS-IF 97:J 1 0=0,J 2 0=1,J 3 0= -3,J 4 0= -2,J 5 0= -1,J 6 0=2;n 1 0= - 0.13179983674201×102,n 2 0= 0. 685 40841634434×101,n 3 0= - 0. 24805148933466×10-1,n 4 0= 0. 36901534980333,n 5 0= - 0. 311613 18213925×10,n 6 0= - 0. 32961626538917。
the invention can realize the online calculation of the water and water vapor enthalpy entropy values and the online output, and the output result can be directly used for industrial production control or used as the basis of other online parameter calculation.
Claims (2)
1. An online calculation method for enthalpy entropy values of water and water vapor is characterized by comprising the following steps:
s1, acquiring on-line water and water vapor thermodynamic parameters: temperature ofTAnd pressurePIf the obtained temperatures of the on-line water and the water vapor are equalTConverting the temperature into the temperature of Kelvin when the temperature is centigrade;
s2, if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S3; if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S4; if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S6; if the temperature of the water and the water vapor obtained in the step S1TSatisfies the conditionsThen go to step S8;
s3 temperatures of water and steam obtained according to step S1TFinding the saturation pressure on the saturation lineP12, comparing the water and the water vapor pressure obtained in the step S1PAndP12, ifP>P12, executing step S5; otherwise, executing step S6;
s4 temperatures of water and steam obtained according to step S1TSolving for boundary pressure by using equation B23P23, comparing the water and the water vapor pressure obtained in the step S1PAndP23, ifP>P23, go to step S7; otherwise, executing step S6;
s5, water and steam are in zone 1, the water and steam temperature obtained according to step S1TAnd pressureP、And the formula of the region 1 calculates and outputs the enthalpy entropy values of water and water vapor on line;
s6, water and steam in zone 2, water and steam temperature from step S1TAnd pressureP、And the formula of the region 2 calculates and outputs the enthalpy entropy values of water and steam on line;
s7, water and steam in zone 3, water and steam temperature from step S1TAnd density 、And the formula of the region 3 calculates and outputs the enthalpy entropy values of water and water vapor on line;
s8, water and steam in zone 5, water and steam temperature from step S1TAnd pressureP、And the formula of the area 5 calculates the enthalpy entropy values of water and water vapor on line and outputs the values.
2. The method of on-line calculation of water and water vapor enthalpy entropy values of claim 1, characterized by:
water and steam thermodynamic parameter temperature in step S1TAnd pressurePCollected by a sensor.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN2011104256244A CN102495094A (en) | 2011-12-19 | 2011-12-19 | Online calculation method of enthalpy-entropy values of water and water vapor |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN2011104256244A CN102495094A (en) | 2011-12-19 | 2011-12-19 | Online calculation method of enthalpy-entropy values of water and water vapor |
Publications (1)
Publication Number | Publication Date |
---|---|
CN102495094A true CN102495094A (en) | 2012-06-13 |
Family
ID=46186935
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN2011104256244A Pending CN102495094A (en) | 2011-12-19 | 2011-12-19 | Online calculation method of enthalpy-entropy values of water and water vapor |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN102495094A (en) |
Cited By (10)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102722658A (en) * | 2012-06-19 | 2012-10-10 | 山西太钢不锈钢股份有限公司 | Method for querying state parameters of water and steam |
CN103559918A (en) * | 2013-10-25 | 2014-02-05 | 北京广利核系统工程有限公司 | Method for calculating heat power of pressurized water reactor in nuclear power station |
CN103616094A (en) * | 2013-12-09 | 2014-03-05 | 中国科学院新疆理化技术研究所 | Method for measuring adsorption enthalpy of gas on surface of sensitive material |
RU2544365C2 (en) * | 2013-05-06 | 2015-03-20 | ООО "Оренбургская промышленная лаборатория" | Device for heat exchanger operation parameter measurement |
CN106021837A (en) * | 2015-12-21 | 2016-10-12 | 河北省电力建设调整试验所 | Water and water vapor phase state determination algorithm based on virtual instrument |
RU2621569C1 (en) * | 2016-04-18 | 2017-06-06 | Александр Павлович Пославский | Device for measuring heat flow of heat exchangers |
CN111079070A (en) * | 2019-12-18 | 2020-04-28 | 新奥数能科技有限公司 | Thermodynamic parameter analysis method and device |
CN111523205A (en) * | 2020-04-02 | 2020-08-11 | 新奥数能科技有限公司 | Specific enthalpy determination method and device for superheated steam |
CN114997573A (en) * | 2022-04-25 | 2022-09-02 | 河北华电石家庄热电有限公司 | Performance online evaluation method and system of gas-steam combined cycle thermoelectric unit |
CN117029910A (en) * | 2023-07-26 | 2023-11-10 | 秦皇岛秦热发电有限责任公司 | Enthalpy exergy monitoring device for thermodynamic system |
-
2011
- 2011-12-19 CN CN2011104256244A patent/CN102495094A/en active Pending
Non-Patent Citations (2)
Title |
---|
方彦军 等: "基于Symphony DCS Composer组态语言与C语言联合编程的在线性能计算", 《热力发电》 * |
赵洪滨 等: "水和水蒸汽热力性质计算IAPWS-IF97的程序化", 《应用科技》 * |
Cited By (14)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102722658A (en) * | 2012-06-19 | 2012-10-10 | 山西太钢不锈钢股份有限公司 | Method for querying state parameters of water and steam |
RU2544365C2 (en) * | 2013-05-06 | 2015-03-20 | ООО "Оренбургская промышленная лаборатория" | Device for heat exchanger operation parameter measurement |
CN103559918A (en) * | 2013-10-25 | 2014-02-05 | 北京广利核系统工程有限公司 | Method for calculating heat power of pressurized water reactor in nuclear power station |
CN103559918B (en) * | 2013-10-25 | 2016-08-17 | 北京广利核系统工程有限公司 | A kind of PWR of Nuclear Power Station thermal power computational methods |
CN103616094A (en) * | 2013-12-09 | 2014-03-05 | 中国科学院新疆理化技术研究所 | Method for measuring adsorption enthalpy of gas on surface of sensitive material |
CN103616094B (en) * | 2013-12-09 | 2015-12-30 | 中国科学院新疆理化技术研究所 | A kind of measurement gas is in the method for sensitive material adsorption enthalpy |
CN106021837A (en) * | 2015-12-21 | 2016-10-12 | 河北省电力建设调整试验所 | Water and water vapor phase state determination algorithm based on virtual instrument |
RU2621569C1 (en) * | 2016-04-18 | 2017-06-06 | Александр Павлович Пославский | Device for measuring heat flow of heat exchangers |
CN111079070A (en) * | 2019-12-18 | 2020-04-28 | 新奥数能科技有限公司 | Thermodynamic parameter analysis method and device |
CN111079070B (en) * | 2019-12-18 | 2023-11-03 | 新奥数能科技有限公司 | Thermal parameter analysis method and device |
CN111523205A (en) * | 2020-04-02 | 2020-08-11 | 新奥数能科技有限公司 | Specific enthalpy determination method and device for superheated steam |
CN111523205B (en) * | 2020-04-02 | 2023-05-12 | 新奥数能科技有限公司 | Specific enthalpy determining method and device for superheated steam |
CN114997573A (en) * | 2022-04-25 | 2022-09-02 | 河北华电石家庄热电有限公司 | Performance online evaluation method and system of gas-steam combined cycle thermoelectric unit |
CN117029910A (en) * | 2023-07-26 | 2023-11-10 | 秦皇岛秦热发电有限责任公司 | Enthalpy exergy monitoring device for thermodynamic system |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN102495094A (en) | Online calculation method of enthalpy-entropy values of water and water vapor | |
Kong et al. | Component map generation of a gas turbine using genetic algorithms | |
CN107045329B (en) | Workshop performance evaluation device, workshop performance evaluation system and workshop performance evaluation method | |
EP2510441B1 (en) | System and method for maximising thermal efficiency of a power plant | |
Laskowski et al. | Cooperation of a Steam Condenser with a Low-pressure Part of a Steam Turbine in Off-design Conditions | |
Li et al. | Function chain neural network prediction on heat transfer performance of oscillating heat pipe based on grey relational analysis | |
CN111413126B (en) | Heat accumulation experimental system and control and detection device thereof | |
Guo et al. | Inequality constrained nonlinear data reconciliation of a steam turbine power plant for enhanced parameter estimation | |
CA2917085A1 (en) | Use of high-efficiency working media for heat engines | |
Fang et al. | Development of an empirical model of turbine efficiency using the Taylor expansion and regression analysis | |
CN104764504A (en) | Flow augmenting method of saturated and superheated steam | |
Zhou et al. | A global thermodynamic measurement data reconciliation model considering boundary conditions and parameter correlations and its applications to natural gas compressors | |
De Paepe et al. | Recuperator performance assessment in humidified micro gas turbine applications using experimental data extended with preliminary support vector regression model analysis | |
Chen et al. | Optimal expansion of a heated working fluid with convective-radiative heat transfer law | |
CN103838961A (en) | Method for monitoring three-dimensional temperature and thermal stress of ultra-supercritical steam turbine rotor in real time | |
CN109187036B (en) | Main steam flow calculation method of main pipe back pressure type steam turbine | |
SZEGA | Advantages of an application of the generalized method of data reconciliation in thermal technology. | |
Xiao et al. | Research on Intelligent Adaptive Control Method for Waste Heat Power Generation Stability Problem | |
US10578023B2 (en) | Controlling a water bath heater for fuel gas | |
Zhang et al. | Effect of temperature and mole fraction on viscosity and thermal conductivity of water and ethanol mixture | |
Tuntas | A neural network based controller design for temperature control in heat exchanger | |
CN104062422A (en) | Predicating method for transformation temperature and hardness of glass | |
JP5360428B2 (en) | Method for estimating surface temperature of exhaust system parts | |
CN220708689U (en) | Two-phase flow thermal hydraulic test system suitable for wet steam measurement | |
Zaleta-Aguilar et al. | Thermo-characterization of power systems components: a tool to diagnose their malfunctions |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
C06 | Publication | ||
PB01 | Publication | ||
C10 | Entry into substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
C02 | Deemed withdrawal of patent application after publication (patent law 2001) | ||
WD01 | Invention patent application deemed withdrawn after publication |
Application publication date: 20120613 |