A scalar formulation of the problem of regularization of material flows in respect to gas turbine units is known. It allows you to consider the maximum permissible overall imbalance of mass and energy, as well as the maximum deviation of parameter values adjusted according to the results of balancing of their initial values. At the same time, there is no possibility to consider the individual standardized metrological characteristics of the measuring instruments used to obtain the initial values of the controlled parameters. The problem of simultaneous equations of the material and energy balances of a gas turbine unit is formulated in a vector value within the framework of Tikhonov’s regularization concept when solving ill-posed problems. To solve the problem, the authors have used the analytical method, the method of iteration of analytical solutions, as well as the method of statistical programming. Analytical and numerical solutions of the stated problem are obtained. They, among other things, consider restrictions on the range of permissible parameter values which are determined by the standardized metrological characteristics of measuring instruments. The impact of the applied method of balancing procedure on the results of calculation of the thermal efficiency indicators of gas turbine plants is shown. To apply thermal efficiency indicators of gas turbine units in the systems of automated monitoring, it is recommended to use a vector formulation of the problem of simultaneous equations when solving it by the method of iterations of analytical solutions or by the method of statistical programming. The developed methodology makes it possible to determine reasonable actual values of the indicators of equipment thermal efficiency under condition of the coincidence of the permissible error of the gross efficiency values of a gas turbine plant, calculated according to direct heat and indirect heat balances.
{"title":"Vector statement of simultaneous equations method of material and energy balances when calculating actual indicators of thermal efficiency of gas turbine plants","authors":"A.S. Zinovieva, G.V. Ledukhovsky, V.P. Zhukov, E.V. Barochkin, S.I. Shuvalov","doi":"10.17588/2072-2672.2023.5.005-011","DOIUrl":"https://doi.org/10.17588/2072-2672.2023.5.005-011","url":null,"abstract":"A scalar formulation of the problem of regularization of material flows in respect to gas turbine units is known. It allows you to consider the maximum permissible overall imbalance of mass and energy, as well as the maximum deviation of parameter values adjusted according to the results of balancing of their initial values. At the same time, there is no possibility to consider the individual standardized metrological characteristics of the measuring instruments used to obtain the initial values of the controlled parameters. The problem of simultaneous equations of the material and energy balances of a gas turbine unit is formulated in a vector value within the framework of Tikhonov’s regularization concept when solving ill-posed problems. To solve the problem, the authors have used the analytical method, the method of iteration of analytical solutions, as well as the method of statistical programming. Analytical and numerical solutions of the stated problem are obtained. They, among other things, consider restrictions on the range of permissible parameter values which are determined by the standardized metrological characteristics of measuring instruments. The impact of the applied method of balancing procedure on the results of calculation of the thermal efficiency indicators of gas turbine plants is shown. To apply thermal efficiency indicators of gas turbine units in the systems of automated monitoring, it is recommended to use a vector formulation of the problem of simultaneous equations when solving it by the method of iterations of analytical solutions or by the method of statistical programming. The developed methodology makes it possible to determine reasonable actual values of the indicators of equipment thermal efficiency under condition of the coincidence of the permissible error of the gross efficiency values of a gas turbine plant, calculated according to direct heat and indirect heat balances.","PeriodicalId":497748,"journal":{"name":"Vestnik IGÈU","volume":"2023 318","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135976703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The necessity of turbogenerators operation in the reactive power consumption mode is determined by the shortage of compensating devices in the network. Recently, accidents associated with generators long-term operation at low levels of excitation have become more frequent, which is a prerequisite for the consumption of reactive power by the generator. The purpose of this research is to assess the effect of the reactive power consumption mode on the technical condition of the T3FP-110-2MU3 turbogenerator. The source of information about the technical condition of the turbogenerator is the data obtained from the operating and repair documentation, electrical and thermal tests protocols, technical reports with the results of comprehensive diagnostic examinations of the turbogenerator. The cores of T3F series generators have been examined. No gaps between the pressure fingers and the surface of the edge packages have ever been detected during examinations, which indicates the absence of significant curvature of the extreme core packages. During the study of temperature by T3FP-110-2MU3 thermal resistance converters, it is found out that with an increase of reactive power consumption, the temperature of the windings and the active steel of the stator core of the turbo generator decreases and it does not exceed the upper warning settings in the mode of reactive power output, the opposite dependence is visible. It is established that the influence of the reactive power consumption mode on the technical condition of the T3FP-110-2MU3 when operating in steady-state modes within the factory PQ-diagram is minimal. In the stator core of the turbogenerator under consideration, high resistance of the teeth of the extreme packages to operational loads has been achieved, due to significant improvements in the design and manufacturing technology of the end zones. From the point of view of practical significance, T3F series turbogenerators are allowed to be used for reactive power consumption. As a further direction of research, it is planned to consider the operation of turbogenerator in maneuverable modes with the transition from the issuance of reactive power to its consumption and vice versa.
{"title":"Effect of Reactive Power Consumption Mode on Technical Condition of T3FP-110-2MU3 Turbogenerator","authors":"V.D. Bitney, N.N. Smotrov, A.A. Timofeev, A.V. Okhlopkov","doi":"10.17588/2072-2672.2023.3.034-042","DOIUrl":"https://doi.org/10.17588/2072-2672.2023.3.034-042","url":null,"abstract":"The necessity of turbogenerators operation in the reactive power consumption mode is determined by the shortage of compensating devices in the network. Recently, accidents associated with generators long-term operation at low levels of excitation have become more frequent, which is a prerequisite for the consumption of reactive power by the generator. The purpose of this research is to assess the effect of the reactive power consumption mode on the technical condition of the T3FP-110-2MU3 turbogenerator. The source of information about the technical condition of the turbogenerator is the data obtained from the operating and repair documentation, electrical and thermal tests protocols, technical reports with the results of comprehensive diagnostic examinations of the turbogenerator. The cores of T3F series generators have been examined. No gaps between the pressure fingers and the surface of the edge packages have ever been detected during examinations, which indicates the absence of significant curvature of the extreme core packages. During the study of temperature by T3FP-110-2MU3 thermal resistance converters, it is found out that with an increase of reactive power consumption, the temperature of the windings and the active steel of the stator core of the turbo generator decreases and it does not exceed the upper warning settings in the mode of reactive power output, the opposite dependence is visible. It is established that the influence of the reactive power consumption mode on the technical condition of the T3FP-110-2MU3 when operating in steady-state modes within the factory PQ-diagram is minimal. In the stator core of the turbogenerator under consideration, high resistance of the teeth of the extreme packages to operational loads has been achieved, due to significant improvements in the design and manufacturing technology of the end zones. From the point of view of practical significance, T3F series turbogenerators are allowed to be used for reactive power consumption. As a further direction of research, it is planned to consider the operation of turbogenerator in maneuverable modes with the transition from the issuance of reactive power to its consumption and vice versa.","PeriodicalId":497748,"journal":{"name":"Vestnik IGÈU","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136064642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：