CN107503805B - Economic index analysis method based on F-level single-shaft gas-steam combined cycle generator set - Google Patents
Economic index analysis method based on F-level single-shaft gas-steam combined cycle generator set Download PDFInfo
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- F01K23/106—Plants characterised by more than one engine delivering power external to the plant, the engines being driven by different fluids the engine cycles being thermally coupled combustion heat from one cycle heating the fluid in another cycle with exhaust fluid of one cycle heating the fluid in another cycle with water evaporated or preheated at different pressures in exhaust boiler
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Abstract
The invention relates to an economic index analysis method based on an F-level single-shaft gas-steam combined cycle generator set, and belongs to the technical field of gas-steam combined cycle power generation. The combined cycle heat system comprises a generator, a gas turbine unit and a steam turbine unit, wherein the gas turbine unit and the steam turbine unit are connected with the generator, the gas turbine unit comprises a gas compressor, a combustion chamber and a gas turbine which are sequentially communicated, the steam turbine unit comprises a waste heat boiler, a high pressure cylinder, a medium pressure cylinder and a low pressure cylinder, and the high pressure cylinder, the medium pressure cylinder and the low pressure cylinder are respectively connected with the waste heat boiler. The invention also provides an economic index analysis method based on the F-level single-shaft gas-steam combined cycle generator set. The invention has reasonable structure, safety and reliability, realizes the management and analysis of the technical and economic indexes of the unit, and lays a foundation for the energy-saving supervision work of the gas-steam combined cycle generator unit.
Description
Technical Field
The invention relates to an economic index system analysis method, in particular to an economic index analysis method based on an F-level single-shaft gas-steam combined cycle generator set, and belongs to the technical field of gas-steam combined cycle power generation.
Background
Through accumulation of operation experience for many years, in the aspect of ensuring safe and stable operation of a unit, each gas power generation enterprise forms a relatively mature management system, but in the aspect of technical and economic index management, a complete management system is not formed yet, and operation and management staff cannot be guided to carry out management work of technical and economic indexes.
The main reasons for this include: (1) The fuel engine power generation technology in China starts later, the occupation of the fuel engine power generation unit in the power generation unit is smaller, and the research on the technical and economic index system of the fuel engine power generation unit is not very important in China; (2) The gas turbine generator set in China is imported from abroad basically, the mastered technical data are less than those of the coal-fired generator set, the comprehensive optimization and research on a thermodynamic system are lacked, and particularly the economic quantitative analysis and research on the local change of the thermodynamic system are carried out, so that the gas turbine generator set does not form a complete management system in the aspect of unit economy so far.
At present, when the economy of a unit is evaluated by a gas turbine power plant, statistical analysis is usually performed on some main comprehensive plant-level indexes, such as power supply consumption, power supply quantity, power generation gas consumption, plant power consumption rate, load rate, unit start-stop times and the like, and basically, statistical analysis is performed on some same ratio or ring ratio. The analysis and evaluation method can only master the overall operation economic level of the unit to a certain extent, cannot track factors and influence degrees influencing the economy of the unit, and is difficult to guide operators to optimally adjust the operation of the unit.
The three main devices (gas turbine, waste heat boiler and steam turbine) of the gas-steam combined cycle unit have complex mutual influence relationship, the coupling between indexes is stronger than that of the traditional coal-fired generator unit, and the difficulty of managing and analyzing the indexes of each device of the combined cycle unit is increased. So far, the research on the technical and economic indexes of the combined cycle unit mainly realizes the statistical analysis and comparison of the unit comprehensive indexes and the performance calculation of main equipment, but the related inter-influence relationship among indexes, the index analysis and the index evaluation are relatively few.
Therefore, the method for combining theoretical analysis and simulation calculation is provided, a complete technical and economic index system which accords with the operation characteristics of the combined cycle unit is established, and the indexes, analysis and evaluation of the combined cycle unit are realized, so that the method is particularly necessary.
The publication date is 2017, 07 and 04, and the Chinese patent with publication number 106920179A discloses an invention patent named as a method for establishing a smart grid power transmission and transformation project evaluation index system. The patent includes obtaining an index item; establishing a preliminary evaluation index system and correcting; analyzing the association degree between indexes and sequencing; the index is adjusted; and carrying out correlation analysis again to obtain a final evaluation system. Although the patent selects candidate evaluation indexes as many as possible, calculates the association degree between the evaluation indexes, and screens and sorts the evaluation indexes according to the association degree so as to obtain an optimal evaluation index system; the evaluation index system of the intelligent power grid power transmission and transformation project can be scientifically, reliably and completely obtained, but the index system is not suitable for a gas-steam combined cycle heat system and a generator set economic index system, and cannot be applied to the system.
Disclosure of Invention
The invention aims to overcome the defects in the prior art, and provides the economic index analysis method based on the F-level single-shaft gas-steam combined cycle generator set, which has reasonable structural design, is safe and reliable, establishes a complete set of gas-steam combined cycle generator set technical economic index system to realize the management and analysis of the unit technical economic index and lays a foundation for the energy-saving supervision work of the gas-steam combined cycle generator set.
The invention solves the problems by adopting the following technical scheme: the economic index analysis method based on the F-level single-shaft gas-steam combined cycle generator set comprises an F-level single-shaft gas-steam combined cycle heat system, wherein the F-level single-shaft gas-steam combined cycle heat system comprises a generator, a gas turbine set and a steam turbine set, the gas turbine set and the steam turbine set are connected with the generator, the gas turbine set comprises a gas compressor, a combustion chamber and a gas turbine which are sequentially communicated, the steam turbine set comprises a waste heat boiler, a high-pressure cylinder, a medium-pressure cylinder and a low-pressure cylinder, and the high-pressure cylinder, the medium-pressure cylinder and the low-pressure cylinder are respectively connected with the waste heat boiler, and the economic index analysis method is characterized in that: the method comprises the following steps:
construction of an economic index system framework of a combined cycle generator set
Classifying technical and economic indexes of a whole plant according to the attributes of equipment and a system, constructing an economic index system structure framework of a combined cycle generator set, taking plant-level comprehensive indexes as top-level indexes, and decomposing the top-level indexes layer by layer according to the mechanism relation among the indexes until the adjusted bottom-level small indexes are monitored;
analysis of technical and economic indexes of combined cycle generator set
Based on the research work of the step (one), the calculation and monitoring of the economic indexes of the unit can be realized, and further index analysis work is carried out for clearing the influence degree of the mutual influence relation among indexes and the related index change on the economic efficiency of the unit, and the method mainly comprises the following steps:
(A) Analysis of influence relation between upper and lower layer indexes: obtaining the influence coefficient of the related index on the previous level index through quantitative analysis and calculation;
(B) Index consumption differential analysis: through analyzing and calculating the small index consumption difference value of the combined cycle unit operation, operators quantitatively grasp the degree of the influence of the operation index on the economy of the unit, so that the unit operation can be intuitively and clearly adjusted in a primary and secondary mode;
in the step (one), the economic index system of the combined cycle generator set is divided into five indexes:
first-level indexes: power supply consumption (power supply efficiency, power supply heat consumption);
second-level index: directly influencing primary indexes including power supply quantity and power generation gas consumption (power generation efficiency and power generation heat consumption);
three-level index: directly influencing secondary indexes including power generation capacity, station service power/rate, gas turbine efficiency, waste heat boiler efficiency, steam turbine efficiency, pipeline efficiency and fuel indexes;
four-level index: directly influencing three-level indexes, including a related index influencing the generated energy, a related index influencing the plant power, an index influencing the efficiency of a gas turbine, an index influencing the efficiency of the gas turbine, an index influencing the efficiency of a waste heat boiler, an index influencing the efficiency of a pipeline, an index influencing the quality of fuel and an index influencing the quantity of fuel;
five-level index: indexes which can be directly monitored in the production operation process comprise environmental parameters, pressure drop at an inlet of a gas compressor, temperature and pressure of exhaust gas of the gas compressor, temperature, pressure and flow of exhaust gas of a gas turbine, high-pressure main steam parameters, reheat steam parameters and exhaust steam parameters of the gas turbine;
in the step (two), the step (c),
(1) Theoretical calculation based on thermodynamic principle
The method comprises the steps of establishing a mechanism relation between upper and lower indexes by a thermodynamic method, and analyzing quantitative influence on the upper indexes after the lower indexes are changed based on the mechanism relation, wherein the theoretical calculation and analysis method based on the thermodynamic principle comprises a small deviation method and an equivalent enthalpy drop method;
(2) Emulation calculation based on thermal flow
Based on thermal flow simulation calculation software, a thermodynamic simulation model of the combined cycle unit and each device is established, variable working condition calculation is carried out, and quantitative influence relation among indexes is analyzed;
the equivalent enthalpy drop method comprises the following steps: calculating the consumption difference of the turbine parameters by utilizing the equivalent enthalpy drop method, calculating the change delta H of the equivalent enthalpy drop of the steam and the change delta Q of the circulating heat absorption quantity Q of the steam turbine, thereby calculating the relative change quantity of the efficiency of the steam turbine,
wherein: η (eta) st Turbine efficiency,%;
δη st -relative change in turbine efficiency,%;
h-equivalent enthalpy drop of steam turbine, kJ/kg; the three-pressure reheat steam turbine comprises total equivalent enthalpy drop of high, medium and low pressure steam;
ΔH, which is the variable quantity of the functional force of the steam turbine caused by the change of a certain parameter, kJ/kg;
Δq—variation in turbine heat consumption due to variation in a parameter, kJ;
the method comprises the following steps of respectively establishing consumption difference models of all parameters of the steam turbine by using an equivalent enthalpy drop method:
(1) Main steam pressure
ΔH hp =Δh 0 -α zr Δh 2 (2);
ΔQ hp =Δh 0 -α zr Δh 2 (3);
Wherein: ΔH hp -change in work capacity due to change in main steam pressure kJ/kg;
ΔQ hp -variation in heat absorption due to variation in main vapor pressure, kJ;
Δh 0 -change of main steam specific enthalpy, kJ/kg;
α zr -reheat steam fraction,%;
Δh 2 -change amount of exhaust specific enthalpy of the high-pressure cylinder, kJ/kg;
(2) Main steam temperature
ΔH ht =Δh 0 -α zr Δh 2 (4);
ΔQ ht =Δh 0 -α zr Δh 2 (5);
Wherein: ΔH ht -the change of the working capacity caused by the change of the temperature of the main steam, kJ/kg;
ΔQ ht -variation in heat absorption due to variation in main steam temperature, kJ;
(3) Reheat steam pressure loss
ΔH zp =-α zr Δh 2 (6);
ΔQ zp =-α zr Δh 2 (7);
Wherein: ΔH zp -change of working capacity caused by change of reheat pressure loss, kJ/kg;
ΔQ zp -change in heat absorption amount due to change in reheat pressure loss, kJ;
(4) Reheat steam temperature
ΔH zt =α zr Δh zr -α c Δh c (8);
ΔQ hp =α zr Δh zr (9);
Wherein: ΔH zt -change of work-doing capability due to change of reheat steam temperature, kJ/kg;
ΔQ hp -change in heat absorption due to change in reheat steam temperature, kJ;
Δh zr -reheat steam specific enthalpy change, kJ/kg;
α c -the condenser exhaust fraction,%;
Δh c -change amount of exhaust specific enthalpy of the steam turbine, kJ/kg;
(5) Low pressure steam pressure
ΔH lp =α l Δh l -α c Δh c (10);
ΔQ lp =α l Δh l (11);
Wherein: ΔH lp -change in work capacity due to change in low pressure steam pressure kJ/kg;
ΔQ lp -variation in heat absorption due to variation in low pressure vapor pressure, kJ;
α l -low pressure steam fraction,%;
Δh l -change of specific enthalpy of low-pressure steam, kJ/kg;
(6) Low pressure steam temperature
ΔH lt =α l Δh l -α c Δh c (12);
ΔQ lt =α l Δh l (13);
Wherein: ΔH lt -change in work capacity due to change in low pressure steam temperature kJ/kg;
ΔQ lt -variation in heat absorption due to variation in low pressure steam temperature, kJ;
(7) Back pressure
ΔH pq =-α c Δh c (14);
ΔQ pq =0 (15);
Wherein: ΔH pq -change in work capacity due to change in back pressure, kJ/kg;
ΔQ pq the variation of heat absorption quantity, kJ.
Preferably, the small deviation method of the invention comprises the following steps: the method is used for analyzing the influence of the efficiency change of the high, medium and low pressure cylinders of the steam turbine on the economy of the unit;
wherein: h h -ideal enthalpy drop for the high-pressure cylinder of the steam turbine, kJ/kg;
H i -ideal enthalpy drop of the intermediate pressure cylinder of the steam turbine, kJ/kg;
H l -ideal enthalpy drop of low pressure cylinder of steam turbine, kJ/kg;
η h -turbine high pressure cylinder efficiency,%;
η i -efficiency of the intermediate pressure cylinder of the steam turbine,%;
η l -turbine low pressure cylinder efficiency,%;
q-heat consumption of steam turbine, kJ;
assuming that the heat consumption Q of the steam turbine is unchanged
(17);
Wherein: w (W) h 、W i 、W l The high, medium and low pressure cylinders of the steam turbine output work, kW;
for a reheat unit, considering the influence of a front cylinder on a rear cylinder; correction of the above equation is required:
wherein: q-turbine heat rate, kJ/kWh;
beta, the correction factor for the efficiency change caused by the medium pressure cylinder efficiency change, is generally beta=0.70 to 0.75.
Compared with the prior art, the invention has the following advantages and effects: 1. the F-level single-shaft gas-steam combined cycle heat system is reasonable in structural design, safe and reliable; 2. the established index system framework of the F-level single-shaft gas-steam combined cycle generator set is convenient for carrying out the detection and analysis of economic indexes; 3. the method is characterized in that a mechanism model corrected by Thermoflex is utilized, and a small deviation method and an equivalent enthalpy drop method are utilized to comprehensively analyze and research the influence relationship between upper and lower indexes of an index system of the F-level single-shaft gas-steam combined cycle generator set and the consumption difference of the small indexes; 4. constructing an F-level single-shaft gas-steam combined cycle generator set simulation model by using thermoslow, and comprehensively analyzing the influence relationship between upper and lower indexes of an index system of the F-level single-shaft gas-steam combined cycle generator set and the consumption difference of small indexes; 5. and the accuracy of an analysis result is ensured by comparing the mechanism analysis such as small deviation and equivalent enthalpy drop with a thermal flow simulation model.
Drawings
FIG. 1 is a schematic structural diagram of a class F single shaft gas-steam combined cycle thermal system according to an embodiment of the present invention.
FIG. 2 is a schematic structural diagram of a technical economic index system of a F-stage single-shaft gas-steam combined cycle generator set according to an embodiment of the invention.
FIG. 3 is a schematic diagram showing the effect of the temperature change of the inlet flue gas of the waste heat boiler on the efficiency according to the embodiment of the invention.
Fig. 4 is a schematic diagram showing the effect of flue gas side pressure loss on efficiency of the exhaust-heat boiler according to the embodiment of the invention.
In the figure: generator 1, gas turbine unit 2, steam turbine unit 3, compressor 21, combustion chamber 22, gas turbine 23, exhaust-heat boiler 31, high pressure cylinder 32, medium pressure cylinder 33, low pressure cylinder 34, condenser 35, condensate pump 36, natural gas A, air B, flue gas C, flue gas D, condensate E, high pressure cylinder steam admission F, medium pressure cylinder steam admission G, low pressure cylinder steam admission H, low pressure steam I.
Detailed Description
The present invention will be described in further detail by way of examples with reference to the accompanying drawings, which are illustrative of the present invention and not limited to the following examples.
Examples
Referring to fig. 1 to 4, the F-stage single-shaft gas-steam combined cycle heat system of the present embodiment mainly includes a generator 1, a gas turbine unit 2, and a steam turbine unit 3, both the gas turbine unit 2 and the steam turbine unit 3 are connected to the generator 1, the gas turbine unit 2 includes a compressor 21, a combustion chamber 22, and a gas turbine 23 that are sequentially communicated, and the steam turbine unit 3 includes a waste heat boiler 31, a high pressure cylinder 32, a middle pressure cylinder 33, and a low pressure cylinder 34, the high pressure cylinder 32, the middle pressure cylinder 33, and the low pressure cylinder 34 being connected to the waste heat boiler 31, respectively.
The air input end of the air compressing cylinder of the embodiment is externally connected with air B, the output port of the air compressor 21 is connected with the combustion chamber 22, the natural gas input end of the combustion chamber 22 is externally connected with natural gas A, the output end of the combustion chamber 22 is connected with the input end of the gas turbine 23, the flue gas C of the gas turbine 23 is connected with the waste heat boiler 31 through the output end, and the flue gas D is discharged through the waste heat boiler 31.
The steam turbine set 3 of the present embodiment further includes a condenser 35 and a condensate pump 36, the condenser 35 is connected to the output end of the low pressure cylinder 34, and the output end of the condenser 35 is connected to the input end of the waste heat boiler 31 through condensate E of the condensate pump 36.
The high pressure cylinder 32, the medium pressure cylinder 33, and the low pressure cylinder 34 of the present embodiment are connected in this order.
In the embodiment, high-pressure cylinder inlet steam F in the waste heat boiler 31 enters the high-pressure cylinder 32, medium-pressure cylinder exhaust steam in the medium-pressure cylinder 33 enters the low-pressure cylinder 34, low-pressure cylinder exhaust steam H in the low-pressure cylinder 34 enters the condenser 35, and low-pressure steam I in the waste heat boiler 31 is discharged into the low-pressure cylinder 34.
The step of the economic index system of the F-level single-shaft gas-steam combined cycle generator set is as follows:
construction of an economic index system framework of a combined cycle generator set
The index number of the combined cycle generator set is possibly different due to the difference of system arrangement and structure, but the basic structure of the technical and economic index system is approximately the same, firstly, the indexes are classified according to the attribute of equipment and the system, then, plant-level comprehensive indexes are taken as top-level indexes, and the indexes are decomposed layer by layer according to the mechanism relation until the adjusted small operation indexes can be monitored, as shown in figure 2; generally, a combined cycle generator set economic index system can be broadly divided into five indices:
first-level indexes: power supply consumption (power supply efficiency, power supply heat consumption).
Second-level index: directly affects primary indexes such as power supply quantity and power generation gas consumption (power generation efficiency and power generation heat consumption).
Three-level index: directly affects secondary indexes such as power generation amount, station power consumption/rate, gas turbine efficiency, waste heat boiler efficiency, steam turbine efficiency, pipeline efficiency and fuel indexes.
Four-level index: the three-level indexes are directly influenced, and mainly comprise related indexes (such as power) influencing the generated energy, related indexes (such as water supply pump plant power, condensate pump plant power, gas engine (gas engine) auxiliary system plant power, non-production plant power and the like) influencing the efficiency of a gas turbine (such as gas compressor efficiency, gas turbine efficiency and the like), indexes (such as high, medium and low pressure cylinder efficiency and the like) influencing the efficiency of the gas turbine, indexes (such as inlet smoke temperature and exhaust temperature and water reducing amount of the waste heat boiler and the like) influencing the efficiency of a waste heat boiler, indexes (such as water supplementing rate, working medium temperature drop and pressure drop and the like) influencing the efficiency of pipelines, indexes (such as natural gas components, natural gas heat value and the like) influencing the quality of fuel, and indexes (such as natural gas processor loss and the like) influencing the quantity of fuel.
Five-level index: basically, the method is an index which can be directly monitored in the production operation process, such as environmental parameters, pressure drop at the inlet of a compressor, temperature and pressure of exhaust gas of the compressor, temperature, pressure and flow of exhaust gas of a gas turbine, high-pressure main steam parameters, reheat steam parameters, exhaust steam parameters of a steam turbine and the like.
Analysis of technical and economic indexes of combined cycle generator set
Based on the research work of the step (one), the calculation and monitoring of the economic indexes of the unit can be realized, and further index analysis work is carried out for clearing the influence degree of the mutual influence relation among indexes and the related index change on the economic efficiency of the unit, and the method mainly comprises the following steps:
(A) Analysis of influence relation between upper and lower layer indexes: obtaining the influence coefficient of the related index on the previous level index through quantitative analysis and calculation;
(B) Index consumption differential analysis: through analyzing and calculating the small index consumption difference value of the combined cycle unit operation, operators quantitatively grasp the degree of the influence of the operation index on the economy of the unit, so that the unit operation can be intuitively and clearly adjusted in a primary and secondary mode;
in step (two) of the present embodiment,
(1) Theoretical calculation based on thermodynamic principle
The mechanism relation between the upper and lower indexes is established by a thermodynamic method, and the quantitative influence on the upper index after the lower index is changed is analyzed based on the mechanism relation.
Equivalent enthalpy drop method: calculating the consumption difference of the turbine parameters by utilizing the equivalent enthalpy drop method, calculating the change delta H of the equivalent enthalpy drop of the steam and the change delta Q of the circulating heat absorption quantity Q of the steam turbine, thereby calculating the relative change quantity of the efficiency of the steam turbine,
wherein: η (eta) st Turbine efficiency,%;
δη st -relative change in turbine efficiency,%;
h-equivalent enthalpy drop of steam turbine, kJ/kg; the three-pressure reheat steam turbine comprises total equivalent enthalpy drop of high, medium and low pressure steam;
ΔH, which is the variable quantity of the functional force of the steam turbine caused by the change of a certain parameter, kJ/kg;
Δq—variation in turbine heat consumption due to variation in a parameter, kJ;
the method comprises the following steps of respectively establishing consumption difference models of all parameters of the steam turbine by using an equivalent enthalpy drop method:
(1) Main steam pressure
ΔH hp =Δh 0 -α zr Δh 2 (2);
ΔQ hp =Δh 0 -α zr Δh 2 (3);
Wherein: ΔH hp -change in work capacity due to change in main steam pressure kJ/kg;
ΔQ hp -variation in heat absorption due to variation in main vapor pressure, kJ;
Δh 0 -change of main steam specific enthalpy, kJ/kg;
α zr -reheat steam fraction,%;
Δh 2 -change amount of exhaust specific enthalpy of the high-pressure cylinder, kJ/kg.
(2) Main steam temperature
ΔH ht =Δh 0 -α zr Δh 2 (4);
ΔQ ht =Δh 0 -α zr Δh 2 (5);
Wherein: ΔH ht -the change of the working capacity caused by the change of the temperature of the main steam, kJ/kg;
ΔQ ht -variation in heat absorption due to variation in main steam temperature, kJ;
(3) Reheat steam pressure loss
ΔH zp =-α zr Δh 2 (6);
ΔQ zp =-α zr Δh 2 (7);
Wherein: ΔH zp -change of working capacity caused by change of reheat pressure loss, kJ/kg;
ΔQ zp -change in heat absorption amount due to change in reheat pressure loss, kJ;
(4) Reheat steam temperature
ΔH zt =α zr Δh zr -α c Δh c (8);
ΔQ hp =α zr Δh zr (9);
Wherein: ΔH zt -change of work-doing capability due to change of reheat steam temperature, kJ/kg;
ΔQ hp -change in heat absorption due to change in reheat steam temperature, kJ;
Δh zr -reheat steam specific enthalpy change, kJ/kg;
α c -the condenser exhaust fraction,%;
Δh c -change amount of exhaust specific enthalpy of the steam turbine, kJ/kg;
(5) Low pressure steam pressure
ΔH lp =α l Δh l -α c Δh c (10);
ΔQ lp =α l Δh l (11);
Wherein: ΔH lp -change in work capacity due to change in low pressure steam pressure kJ/kg;
ΔQ lp -variation in heat absorption due to variation in low pressure vapor pressure, kJ;
α l -low pressure steam fraction,%;
Δh l -change of specific enthalpy of low-pressure steam, kJ/kg.
(6) Low pressure steam temperature
ΔH lt =α l Δh l -α c Δh c (12);
ΔQ lt =α l Δh l (13);
Wherein: ΔH lt -change in work capacity due to change in low pressure steam temperature kJ/kg;
ΔQ lt -variation in heat absorption due to variation in low pressure steam temperature, kJ;
(7) Back pressure
ΔH pq =-α c Δh c (14);
ΔQ pq =0 (15);
Wherein: ΔH pq -change in work capacity due to change in back pressure, kJ/kg;
ΔQ pq the variation of heat absorption quantity, kJ.
Small deviation method: the method is used for analyzing the influence of the efficiency change of the high, medium and low pressure cylinders of the steam turbine on the economy of the unit.
wherein: h h -ideal enthalpy drop for the high-pressure cylinder of the steam turbine, kJ/kg;
H i -ideal enthalpy drop of the intermediate pressure cylinder of the steam turbine, kJ/kg;
H l -ideal enthalpy drop of low pressure cylinder of steam turbine, kJ/kg;
η h -turbine high pressure cylinder efficiency,%;
η i -efficiency of the intermediate pressure cylinder of the steam turbine,%;
η l -turbine low pressure cylinder efficiency,%;
q-turbine heat consumption, kJ.
Assuming that the heat consumption Q of the steam turbine is unchanged
Wherein: w (W) h 、W i 、W l The high, medium and low pressure cylinders of the steam turbine output work, kW;
for a reheat unit, considering the influence of a front cylinder on a rear cylinder; correction of the above equation is required:
wherein: q-turbine heat rate, kJ/kWh;
beta, the correction factor for the efficiency change caused by the medium pressure cylinder efficiency change, is generally beta=0.70 to 0.75.
Power supply consumption of this embodiment:
in the formula, v fd -power generation gas consumption rate, nm 3 /kWh;
L cy Plant power consumption%.
Influence calculation of electricity generation gas consumption rate on electricity supply consumption:
in the method, in the process of the invention,-the influence of the change of the power generation gas consumption rate on the power supply gas consumption rate, nm3/kWh;
Δv fd the amount of change in the power consumption rate, nm3/kWh.
And (5) calculating the influence of the station service electricity consumption on the power supply electricity consumption rate:
in the method, in the process of the invention,the influence of the change of the plant power consumption rate on the power supply power consumption rate,Nm3/kWh;
ΔL cy plant power consumption change amount,%.
The power generation thermal efficiency of the present embodiment
η cc =η gt +(1-η gt )η b η st η gd (22);
Wherein eta is cc -combined cycle power efficiency,%;
η gt -gas turbine thermal efficiency,%;
η b -heat efficiency of waste heat boiler,%;
η st -steam turbine thermal efficiency,%;
η gd -pipe efficiency,%.
Calculating the relation between the electricity consumption rate and the heat efficiency of the gas turbine, the waste heat boiler and the steam turbine:
δη cc =Aδη gt +Bδη st +Cδη h +Dδη gd (23);
the gas turbine thermal efficiency of the present embodiment: and (5) establishing a mechanism calculation model of the gas compressor, the combustion chamber and the gas turbine according to the thermodynamic principle.
The output power of the gas turbine can be expressed as:
W gt =(W t -W c )η m (24);
wherein: w (W) gt -gas turbine output power, kW;
W t -gas turbine output power, kW;
W c compressor power consumption, kW;
η m mechanical efficiency,%.
Compression work consumption of the air compressor:
W c =G a wc (25);
wherein: g a -compressor inlet air flow, kg/s;
w c specific work consumed to compress 1kg of air, kW/kg.
Compressor specific work:
exhaust temperature of the compressor:
gas turbine output:
W t =G g w t (28);
wherein: g g -gas turbine exhaust flow, kg/s;
w t the specific work output of the gas turbine, kW/kg.
Gas turbine specific work:
turbine exhaust temperature:
the gas turbine friedel formula:
combustion chamber mass flow formula:
G g =G a +G f (32);
gas turbine efficiency:
relationship between compressor pressure ratio and gas turbine expansion ratio:
π t =ξπ c (34);
wherein: ζ -pressure maintaining coefficient.
During operation of the gas turbine, a portion of the compressed air is continuously extracted from the compressor to cool the gas turbine, with the cooling air flow rate being approximately 12% of the compressor inlet flow rate. The inability to determine the cooling air parameters results in failure to make detailed mechanical calculations on the cooling air portion.
In the embodiment, a theoretical calculation model of the gas turbine is corrected through a simulation calculation software Thermoflow, and a compressor power consumption correction coefficient is introducedAnd gas turbine output work correction factor +.>To eliminate the effect of cooling air on the accuracy of the gas turbine calculation.
According to equations 24 through 34, using the small deviation method, a small deviation equation for the gas turbine operating parameters and the gas turbine efficiency can be established as follows:
δη gt =[(k 6 +1)-k 5 ]δT 3 +[(k 5 -1)-k 6 ]δT 1 +[k 1 k 2 (k 5 -1)+k 3 (k 6 -1)-k 1 k 6 ]δπ c +[k 6 -k 2 (k 5 -1)]δη c +(k 6 +1)δη t +k 3 (k 6 +1)δξ+ δ η r (35);
in the method, in the process of the invention,
the turbine thermal efficiency of the present embodiment: the quantitative analysis of the technical economic index of the steam turbine is to analyze the size of the economic index of the steam turbine, which is influenced by the operating characteristics of the steam turbine, after deviating from a reference value, and the current quantitative analysis method of the economic index of the steam turbine mainly comprises four methods: (1) a property test method; (2) a characteristic curve method; (3) equivalent enthalpy drop method; and (4) a small deviation method. The characteristic test method is time-consuming and labor-consuming, and the change of a single parameter is difficult to ensure in the test process; the unit characteristic change caused by long-time operation of the unit has larger deviation of the calculation result of the characteristic curve method, and the influence generated by the change of the operation index of the steam turbine is quantitatively analyzed mainly by adopting an equivalent enthalpy drop method and a small deviation method in the report.
Taking the typical GE company single-shaft F-level gas-steam combined cycle unit as an example, main equipment of the combined cycle generator unit is a PG9351FA gas turbine, a three-pressure non-afterburning reheating natural cycle waste heat boiler and a three-pressure reheating pure condensing steam turbine which are produced by the GE company, and a thermodynamic system diagram is shown in figure 1.
In this embodiment, taking a GE company 9FA single-shaft gas-steam combined cycle generator set as an example, the index is analyzed and calculated, and the calculation results are summarized in tables 1 and 2:
TABLE 1 influence of gas turbine Small Scale on Combined cycle economic Scale
TABLE 2 influence of turbine Small metrics on Combined cycle economic metrics
(2) Emulation calculation based on thermal flow
The theoretical model between the economic indexes of the combined cycle unit and the equipment established based on the thermodynamic principle in the last part, and quantitative analysis is carried out on the influence relationship between the indexes, so that guidance is provided for the management of the economic indexes of the combined cycle generator unit. There are two problems: (1) The relationship does not contain all of the metrics related to the economics of the various units of the combined cycle machine; (2) Various coupling relations among the economic indexes are difficult to express by accurate display relation expression due to the limitation of technical data. The results of thermodynamic theoretical analysis lack some comprehensiveness.
Based on thermal flow simulation calculation software, thermodynamic simulation models of the combined cycle unit and each device are established, variable working condition calculation is carried out, and quantitative influence relation among indexes is analyzed.
Calculation example: taking a GE company 9FA single-shaft gas-steam combined cycle generator set as an example, carrying out index analysis and calculation, and summarizing calculation results:
gas turbine economic index:
parameters (parameters) | Unit (B) | x 3 | x 2 | x | x 0 | |
Ambient temperature | ℃ | -2.81E-07 | -1.72E-05 | -2.98E-04 | 1.0118 | |
Atmospheric pressure | bar | 0 | -0.0052 | -0.0238 | 1.0294 | |
Relative humidity of | % | 0 | 1.88E-08 | -3.35E-05 | 1.0025 | |
Air inlet pressure loss of air compressor | mbar | 0 | -6.81E-07 | -3.48E-04 | 1.0021 | |
Compressor efficiency reduction | % | 0 | -2.49E-04 | -9.38E-03 | 1 | |
Turbine inlet | ℃ | 0 | 4.88E-06 | 1.48E-04 | 0.99995 | |
Turbine | % | 0 | 0.00E+00 | -1.87E-02 | 1.0004 | |
Turbine exhaust pressure loss | mbaar | 4.56E-07 | -4.27E-04 | 1.0137 | ||
Load factor | % | 0 | -2.59E-05 | 8.06E-03 | 0.45153 |
Table 3 gas turbine economic indicators fitting formula coefficients to gas turbine efficiency impact relationship summarizing exhaust heat boiler economic indicators:
the exhaust-heat boiler is mainly used for analyzing quantitative relation of influence of inlet flue gas temperature and flue gas side pressure loss on economic index of the exhaust-heat boiler, as shown in fig. 3 and 4: it can be seen that the flue gas side pressure loss has less effect on the efficiency of the exhaust-heat boiler, but an increase in the flue gas side pressure loss means an increase in the gas turbine exhaust pressure, which is large. According to the simulation analysis of the gas turbine, the influence of the increase of the flue gas side pressure loss of the waste heat boiler on the efficiency of the gas turbine is larger.
Steam turbine economic indicators:
parameters (parameters) | Unit (B) | x 2 | x | x 0 |
High pressure main steam temperature | ℃ | 2.98E-04 | -3.27E-01 | 1.28E+02 |
High pressure main steam pressure | Mpa | / | 0.4062 | 33.877 |
Reheat steam temperature | ℃ | / | 0.1250 | 31.36 |
Reheat steam pressure loss | % | / | -3.304E-02 | 38.73 |
High pressure cylinder efficiency reduction | % | / | -4.615E-02 | 38.41 |
Reduced medium pressure cylinder efficiency | % | / | -5.992E-02 | 38.41 |
Low pressure cylinder efficiency reduction | % | / | -1.773E-01 | 38.41 |
Back pressure | kPa | -2.80E-02 | -1.15E-01 | 38.14 |
Table 4 fitting formula coefficients summarizing the relationship of steam turbine economic indicators to steam turbine efficiency:
parameters (parameters) | Unit (B) | x 3 | x 2 | x | x 0 |
Ambient temperature | ℃ | -5.43E-05 | -7.19E-04 | 0.062 | 57.01 |
Atmospheric pressure | | kPa | / | -2.86E-03 | 0.53 | 33.11 |
Relative humidity of | % | / | -4.58E-05 | 2.36E-03 | 57.75 |
Intake pressure loss | kPa | / | -0.01402 | -0.03135 | 57.67 |
Exhaust pressure loss | kPa | / | / | -0.0912 | 57.94 |
Turbine inlet temperature | ℃ | / | -6.41E-04 | 0.01682 | 57.64 |
Compressor efficiency | % | / | -2.68E-03 | 0.661 | 19.59 |
Turbine efficiency | % | / | / | 0.6931 | -6.7135 |
Heating value of fuel | KJ/kg | / | -8.70E-10 | 7.34E-05 | 56.12 |
Flue gas side pressure loss of waste heat boiler | kPa | / | / | -0.09236 | 57.9482 |
Heat dissipation loss of waste heat boiler | % | / | / | 0.186 | 57.735 |
Gas turbine exhaust temperature drop | ℃ | / | / | -0.055 | 57.703 |
High pressure main steam temperature | ℃ | / | / | 8.27E-03 | 52.988 |
High pressure main steam pressure | mPa | / | / | 1.82247 | 39.0104 |
Reheat steam temperature | ℃ | / | / | 0.01672 | 48.209 |
Reheat steam pressure loss | % | / | / | -0.01841 | 57.8187 |
High pressure cylinder efficiency reduction | % | / | / | -0.023 | 57.643 |
Reduced medium pressure cylinder efficiency | % | / | / | -0.033 | 57.643 |
Low pressure cylinder efficiency reduction | % | / | / | -0.095 | 57.643 |
Back pressure | kPa | / | / | -0.29874 | 59.11 |
Table 5 fitting equation coefficient summarization of economic index to combined cycle power generation efficiency influence relationship
TABLE 6 comparison of results of influence of small index changes of thermodynamic theory calculations and thermal flow simulation calculations on economy of a combined cycle unit
As can be seen from table 6, the effect of the change of the index of thermodynamic theoretical calculation on the economy of the combined cycle unit is higher than that of the thermal flow simulation calculation, mainly because some indexes in the established thermodynamic theoretical model are not independent of each other, and the calculated result is not the influence value of the independent change of the parameter, so that the phenomenon that the thermodynamic theoretical calculation result is higher can occur.
From the above description, those skilled in the art will be able to practice.
In addition, it should be noted that the specific embodiments described in the present specification may vary from part to part, from name to name, etc., and the above description in the present specification is merely illustrative of the structure of the present invention. All equivalent or simple changes of the structure, characteristics and principle according to the inventive concept are included in the protection scope of the present patent. Those skilled in the art may make various modifications or additions to the described embodiments or substitutions in a similar manner without departing from the scope of the invention as defined in the accompanying claims.
Claims (2)
1. The utility model provides an economic index analysis method based on F level unipolar gas steam combined cycle generating set, includes F level unipolar gas steam combined cycle heating system, F level unipolar gas steam combined cycle heating system includes generator, gas turbine unit and steam turbine unit, and gas turbine unit and steam turbine unit all link to each other with the generator, and gas turbine unit includes compressor, combustion chamber and the gas turbine that communicate in proper order, and the steam turbine unit includes exhaust-heat boiler, high-pressure cylinder, middling pressure jar and low pressure jar, and this high-pressure cylinder, middling pressure jar and low pressure jar link to each other with exhaust-heat boiler respectively, its characterized in that: the method comprises the following steps:
construction of an economic index system framework of a combined cycle generator set
Classifying technical and economic indexes of a whole plant according to the attributes of equipment and a system, constructing an economic index system structure framework of a combined cycle generator set, taking plant-level comprehensive indexes as top-level indexes, and decomposing the top-level indexes layer by layer according to the mechanism relation among the indexes until the adjusted bottom-level small indexes are monitored;
analysis of technical and economic indexes of combined cycle generator set
Based on the research work of the step (one), the calculation and monitoring of the economic indexes of the unit can be realized, and further index analysis work is carried out for clearing the influence degree of the mutual influence relation among indexes and the related index change on the economic efficiency of the unit, and the method mainly comprises the following steps:
(A) Analysis of influence relation between upper and lower layer indexes: obtaining the influence coefficient of the related index on the previous level index through quantitative analysis and calculation;
(B) Index consumption differential analysis: through analyzing and calculating the small index consumption difference value of the combined cycle unit operation, operators quantitatively grasp the degree of the influence of the operation index on the economy of the unit, so that the unit operation can be intuitively and clearly adjusted in a primary and secondary mode;
in the step (one), the economic index system of the combined cycle generator set is divided into five indexes:
first-level indexes: power supply consumption (power supply efficiency, power supply heat consumption);
second-level index: directly influencing primary indexes including power supply quantity and power generation gas consumption (power generation efficiency and power generation heat consumption);
three-level index: directly influencing secondary indexes including power generation capacity, station service power/rate, gas turbine efficiency, waste heat boiler efficiency, steam turbine efficiency, pipeline efficiency and fuel indexes;
four-level index: directly influencing three-level indexes, including a related index influencing the generated energy, a related index influencing the plant power, an index influencing the efficiency of a gas turbine, an index influencing the efficiency of the gas turbine, an index influencing the efficiency of a waste heat boiler, an index influencing the efficiency of a pipeline, an index influencing the quality of fuel and an index influencing the quantity of fuel;
five-level index: indexes which can be directly monitored in the production operation process comprise environmental parameters, pressure drop at an inlet of a gas compressor, temperature and pressure of exhaust gas of the gas compressor, temperature, pressure and flow of exhaust gas of a gas turbine, high-pressure main steam parameters, reheat steam parameters and exhaust steam parameters of the gas turbine;
in the step (two), the step (c),
(1) Theoretical calculation based on thermodynamic principle
The method comprises the steps of establishing a mechanism relation between upper and lower indexes by a thermodynamic method, and analyzing quantitative influence on the upper indexes after the lower indexes are changed based on the mechanism relation, wherein the theoretical calculation and analysis method based on the thermodynamic principle comprises a small deviation method and an equivalent enthalpy drop method;
(2) Emulation calculation based on thermal flow
Based on thermal flow simulation calculation software, a thermodynamic simulation model of the combined cycle unit and each device is established, variable working condition calculation is carried out, and quantitative influence relation among indexes is analyzed;
the equivalent enthalpy drop method comprises the following steps: calculating the consumption difference of the turbine parameters by utilizing the equivalent enthalpy drop method, calculating the change delta H of the equivalent enthalpy drop of the steam and the change delta Q of the circulating heat absorption quantity Q of the steam turbine, thereby calculating the relative change quantity of the efficiency of the steam turbine,
wherein: η (eta) st Turbine efficiency,%;
δη st -relative change in turbine efficiency,%;
h-equivalent enthalpy drop of steam turbine, kJ/kg; the three-pressure reheat steam turbine comprises total equivalent enthalpy drop of high, medium and low pressure steam;
ΔH, which is the variable quantity of the functional force of the steam turbine caused by the change of a certain parameter, kJ/kg;
Δq—variation in turbine heat consumption due to variation in a parameter, kJ;
the method comprises the following steps of respectively establishing consumption difference models of all parameters of the steam turbine by using an equivalent enthalpy drop method:
(1) Main steam pressure
ΔH hp =Δh 0 -α zr Δh 2 (2);
ΔQ hp =Δh 0 -α zr Δh 2 (3);
Wherein: ΔH hp -change in work capacity due to change in main steam pressure kJ/kg;
ΔQ hp -variation in heat absorption due to variation in main vapor pressure, kJ;
Δh 0 -change of main steam specific enthalpy, kJ/kg;
α zr -reheat steam fraction,%;
Δh 2 -change amount of exhaust specific enthalpy of the high-pressure cylinder, kJ/kg;
(2) Main steam temperature
ΔH ht =Δh 0 -α zr Δh 2 (4);
ΔQ ht =Δh 0 -α zr Δh 2 (5);
Wherein: ΔH ht -the change of the working capacity caused by the change of the temperature of the main steam, kJ/kg; ΔQ ht -variation in heat absorption due to variation in main steam temperature, kJ;
(3) Reheat steam pressure loss
ΔH zp =-α zr Δh 2 (6);
ΔQ zp =-α zr Δh 2 (7);
Wherein: ΔH zp -change of working capacity caused by change of reheat pressure loss, kJ/kg;
ΔQ zp -change in heat absorption amount due to change in reheat pressure loss, kJ;
(4) Reheat steam temperature
ΔH zt =α zr Δh zr -α c Δh c (8);
ΔQ hp =α zr Δh zr (9);
Wherein: ΔH zt -change of work-doing capability due to change of reheat steam temperature, kJ/kg; ΔQ hp -caused by a change in reheat steam temperatureHeat absorption quantity changes, kJ;
Δh zr -reheat steam specific enthalpy change, kJ/kg;
α c -the condenser exhaust fraction,%;
Δh c -change amount of exhaust specific enthalpy of the steam turbine, kJ/kg;
(5) Low pressure steam pressure
ΔH lp =α l Δh l -α c Δh c (10);
ΔQ lp =α l Δh l (11);
Wherein: ΔH lp -change in work capacity due to change in low pressure steam pressure kJ/kg; ΔQ lp -variation in heat absorption due to variation in low pressure vapor pressure, kJ;
α l -low pressure steam fraction,%;
Δh l -change of specific enthalpy of low-pressure steam, kJ/kg;
(6) Low pressure steam temperature
ΔH lt =α l Δh l -α c Δh c (12);
ΔQ lt =α l Δh l (13);
Wherein: ΔH lt -change in work capacity due to change in low pressure steam temperature kJ/kg;
ΔQ lt -variation in heat absorption due to variation in low pressure steam temperature, kJ;
(7) Back pressure
ΔH pq =-α c Δh c (14);
ΔQ pq =0 (15);
Wherein: ΔH pq -change in work capacity due to change in back pressure, kJ/kg;
ΔQ pq the variation of heat absorption quantity, kJ.
2. The economic index analysis method based on the F-level single-shaft gas-steam combined cycle generator set, which is characterized by comprising the following steps of: the small deviation method comprises the following steps: the method is used for analyzing the influence of the efficiency change of the high, medium and low pressure cylinders of the steam turbine on the economy of the unit;
wherein: h h -ideal enthalpy drop for the high-pressure cylinder of the steam turbine, kJ/kg;
H i -ideal enthalpy drop of the intermediate pressure cylinder of the steam turbine, kJ/kg;
H l -ideal enthalpy drop of low pressure cylinder of steam turbine, kJ/kg;
η h -turbine high pressure cylinder efficiency,%;
η i -efficiency of the intermediate pressure cylinder of the steam turbine,%;
η l -turbine low pressure cylinder efficiency,%;
q-heat consumption of steam turbine, kJ;
assuming that the heat consumption Q of the steam turbine is unchanged
(17);
Wherein: w (W) h 、W i 、W l The high, medium and low pressure cylinders of the steam turbine output work, kW;
for a reheat unit, considering the influence of a front cylinder on a rear cylinder; correction of the above equation is required:
wherein: q-turbine heat rate, kJ/kWh;
beta, the correction factor for the efficiency change caused by the medium pressure cylinder efficiency change, is generally beta=0.70 to 0.75.
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