CN113379217A - Power station boiler fan efficiency real-time online calculation method based on DCS parameters - Google Patents
Power station boiler fan efficiency real-time online calculation method based on DCS parameters Download PDFInfo
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Abstract
The invention relates to a real-time on-line calculation method for the fan efficiency of a power station boiler based on DCS parameters, which comprises the following steps: a fan shaft in the fan system obtains parameters from a matched motor; calculating the mass flow of air delivered by the fan: an equation is listed by energy balance, static pressure at the outlet of the fan is obtained through calculation, an ECS (electronic control system) of the DCS monitors input electric power of a fan motor in real time, and mechanical power of a fan shaft can be obtained according to the efficiency of the motor; calculating the air power of the fan; and calculating the efficiency of the fan. The invention has the beneficial effects that: with the development of the technology, the set configuration DCS has powerful functions and perfect arrangement measuring points, and measuring points such as the temperature of a fan inlet and outlet medium, the pressure, the inlet and outlet differential pressure, the fan motor power and the like are generally and uniformly distributed on a power station boiler fan.
Description
Technical Field
The invention belongs to the field of fan energy-saving calculation and evaluation of thermal power plants, and particularly relates to a real-time online calculation method for the fan efficiency of a power station boiler based on DCS parameters.
Background
The fan is the important auxiliary machinery equipment of coal-fired utility boiler, and the boiler all disposes forced draught blower, draught fan and primary air fan generally, divide into axial-flow type and centrifugal, and along with the unit develops to the large capacity, utility boiler is with disposing axial-flow type fan mostly. The running economy of the fan is related to the running economy of the whole unit, the current power plant lacks a means for knowing the running economy of the fan, and needs to entrust a qualified test unit to carry out field test according to DL/T469 plus 2004 'power station boiler fan field performance test', so that the time and labor are wasted, the measurement accuracy is not easy to guarantee due to the nonuniformity and instability of flow field distribution, the real-time performance of fan performance monitoring is not available, and the running personnel of the power plant do not have fan running adjustment reference.
With the development of the technology, the set configuration DCS has powerful functions and complete arranged measuring points, measuring points such as the temperature of a medium at an inlet and an outlet of a fan, the pressure, the differential pressure at the inlet and the outlet, the power of a motor of the fan and the like are generally and uniformly arranged on a power station boiler fan, and the measuring points are utilized to carry out real-time online calculation on the efficiency of the fan, so that operation guidance and reference are provided for operators, and the method has important significance.
Disclosure of Invention
The invention aims to overcome the defects in the prior art and provides a real-time online calculation method for the fan efficiency of a power station boiler based on DCS parameters.
The method for calculating the fan efficiency of the power station boiler on line in real time based on the DCS parameters comprises the following steps:
step 1, obtaining mechanical power W of a shaft from a matched motor by a fan shaft in a fan systemsAir is sucked from the atmospheric environment, enters the fan body after passing through a small segment of fan inlet air channel, is pushed by the fan impeller, neglects the influence of air leakage and the like, and leads the air to be blown at the speed v2Conveying to a fan outlet air duct; recording the real-time atmospheric pressure p of the atmospheric environmentaRecording the input power W of the fan motor at this timemStatic pressure p at inlet of fan1Absolute temperature T of air at inlet of fan1Static pressure p at the outlet of the fan2Absolute temperature T of air at outlet of fan2(ii) a The measured sectional area of the inlet of the fan is A1(ii) a The measured sectional area of the outlet of the fan is A2(ii) a Recording the heat dissipation loss from the outer surface of the fan shell as Q in the process of sucking air by the fan;
step 2, calculating the mass flow m of air conveyed by the fan;
step 2.1, the equation is set forth by the energy balance:
in the above formula, m is the mass flow of air delivered by the fan, and the unit is kg/s; c. Cp0The specific heat capacity is the constant pressure of the ambient atmosphere, and the unit is kJ/(kg. K); t is0Is the ambient atmospheric absolute temperature in K; v. of0The air flow speed of the inlet of the fan is in m/s; g is the acceleration of gravity in m/s2;z0Is the elevation of the inlet of the fan, and the unit is m; wsMechanical power obtained for a fan shaft is kW; c. Cp2The unit is kJ/(kg. K) which is the constant pressure specific heat capacity of air at the outlet of the fan; t is2The absolute temperature of air at the outlet of the fan is K; v. of2The air flow speed at the outlet of the fan is expressed in m/s; z is a radical of2Is the elevation of the outlet of the fan, and the unit is m; q is the loss of heat dissipation from the outer surface of the fan shell, and the unit is kW;
step 2.2, obtaining by arranging the formula (1):
step 2.3, simplifying the formula (2) to obtain:
in the above formula, T1The absolute temperature of air at the inlet of the fan is K; whereinSubstituting the formula (3) to obtain:
in the above formula, ρ2Is the density of air at the outlet of the fan and has the unit of kg/m3;A2For measuring the cross-sectional area of the outlet of the fan, the unit is m2;
And 2.4, calculating to obtain the static pressure of the outlet of the fan as follows:
in the above formula, paThe real-time atmospheric pressure of the atmospheric environment is expressed in Pa; p is a radical of2Static pressure (gauge pressure) at the outlet of the fan is expressed in Pa;
step 2.5, the ECS of the DCS monitors the input electric power of the fan motor in real time, and the mechanical power of the fan shaft can be obtained according to the efficiency of the motor; obtaining shaft mechanical power W from a mating motor using a simplified process fan shafts:
Ws=ηmηtWm (6)
In the above formula, WmFor fan motor transmissionInput power, unit is kW; etamThe fan motor efficiency; etatThe transmission efficiency of a shaft coupling of the fan shaft and the motor shaft is improved;
and 2.6, substituting the above formula (5) and the above formula (6) into the above formula (4) to obtain a unitary cubic equation of the mass flow m of the air conveyed by the fan, and simplifying the unitary cubic equation of the mass flow m of the air conveyed by the fan to obtain:
x3+ px + q ═ 0, where p, q are constants; and x3+ px + q ═ 0 has the only solid root;
step 2.7, according to equation x3Solving the value of the mass flow m of the air conveyed by the fan by a root-solving formula of + px + q ═ 0;
step 3, calculating the air power W of the fanu;
And 4, calculating the fan efficiency eta.
Preferably, in step 2, the fan draws air from the atmosphere, where v can be considered to be00; because the elevation difference between the air inlet and the outlet of the fan is not large, the z can be considered as2-z0Is approximately 0; the air passes through a short time from the air inlet to the fan outlet, and the fan body and the air inlet and outlet channels are insulated, so that the heat dissipation of the fan system to the outside is neglected, and Q is 0; in the working temperature range of the power station boiler fan, the air constant-pressure specific heat capacity changes little along with the temperature, and can be considered as a constant value, namely cp0=cp2=cp1.004 kJ/(kg. K); temperature T of air at inlet of fan under the condition of no heating and the like1Approximation and T0Are equal.
Preferably, step 3 specifically comprises the following steps:
step 3.1, calculating the air power of the fan:
Wu=m·yF (7)
in the above formula, WuThe unit is kW; m is the mass flow of air conveyed by the fan, and the unit is kg/s; y isFThe unit mass work of the fan is kJ/kg;
step 3.2, calculating the unit mass work y of the fanF:
In the above formula, yFThe unit mass work of the fan is kJ/kg; p is a radical of2Is the static pressure at the outlet of the fan and has the unit of Pa; p is a radical of1Static pressure at the inlet of the fan is Pa; rhomIs the average density of the inlet and the outlet of the fan and has the unit of kg/m3,v2The air flow speed at the outlet of the fan is expressed in m/s; v. of1The air flow speed of the inlet of the fan is in m/s; delta p is the pressure difference at the inlet and the outlet of the fan, and the unit is Pa; rho2Is the density of air at the outlet of the fan and has the unit of kg/m3;A2For measuring the cross-sectional area of the outlet of the fan, the unit is m2;ρ1Is the density of air at the inlet of the fan and has the unit of kg/m3;A1For measuring the cross-sectional area of the fan inlet, in m2;
Wherein, the air density rho at the inlet of the fan1Comprises the following steps:
static pressure p at inlet of fan1Satisfies the following conditions:
p1=p2-Δp (10)。
preferably, step 4 specifically comprises:
in the above formula, WuThe unit is kW; wsMechanical power obtained for a fan shaft is kW; wmInputting power for a fan motor, wherein the unit is kW; etamThe fan motor efficiency; etatIs a fan shaft and a motor shaftAnd (4) the transmission efficiency of the coupler.
Preferably, the motor efficiency is less changed along with the load, and the motor efficiency of the fan is approximately etam0.96; eta is taken from transmission efficiency of shaft coupling of fan shaft and motor shaftt=0.98。
The invention has the beneficial effects that: with the development of the technology, the set configuration DCS has powerful functions and perfect arrangement measuring points, and measuring points such as the temperature of a fan inlet and outlet medium, the pressure, the inlet and outlet differential pressure, the fan motor power and the like are generally and uniformly distributed on a power station boiler fan.
Drawings
FIG. 1 is a flow chart of the present invention for real-time calculation of fan efficiency;
FIG. 2 is a schematic view of a fan system.
Description of reference numerals: fan inlet cross-section 1, fan outlet cross-section 2.
Detailed Description
The present invention will be further described with reference to the following examples. The following examples are set forth merely to aid in the understanding of the invention. It should be noted that, for a person skilled in the art, several modifications can be made to the invention without departing from the principle of the invention, and these modifications and modifications also fall within the protection scope of the claims of the present invention.
Example 1:
considering the fan system as an open system, the fan system is schematically shown in fig. 2. As shown in FIG. 1, the real-time on-line calculation method for the fan efficiency of the utility boiler based on DCS parameters comprises the following steps:
step 1, obtaining mechanical power W of a shaft from a matched motor by a fan shaft in a fan systemsAir is sucked from the atmospheric environment, enters the fan body after passing through a small segment of fan inlet air channel, is pushed by the fan impeller, neglects the influence of air leakage and the like, and leads the air to be blown at the speed v2Conveying to a fan outlet air duct; recording the real-time atmospheric pressure p of the atmospheric environmentaRecording the input power W of the fan motor at this timemStatic pressure p at inlet of fan1Absolute temperature T of air at inlet of fan1Static pressure p at the outlet of the fan2Absolute temperature T of air at outlet of fan2(ii) a The measured sectional area of the inlet of the fan is A1(ii) a The measured sectional area of the outlet of the fan is A2(ii) a Recording the heat dissipation loss from the outer surface of the fan shell as Q in the process of sucking air by the fan;
step 2, calculating the mass flow m of air conveyed by the fan;
step 2.1, the equation is set forth by the energy balance:
in the above formula, m is the mass flow of air delivered by the fan, and the unit is kg/s; c. Cp0The specific heat capacity is the constant pressure of the ambient atmosphere, and the unit is kJ/(kg. K); t is0Is the ambient atmospheric absolute temperature in K; v. of0The air flow speed of the inlet of the fan is in m/s; g is the acceleration of gravity in m/s2;z0Is the elevation of the inlet of the fan, and the unit is m; wsMechanical power obtained for a fan shaft is kW; c. Cp2The unit is kJ/(kg. K) which is the constant pressure specific heat capacity of air at the outlet of the fan; t is2The absolute temperature of air at the outlet of the fan is K; v. of2The air flow speed at the outlet of the fan is expressed in m/s; z is a radical of2Is the elevation of the outlet of the fan, and the unit is m; q is the loss of heat dissipation from the outer surface of the fan shell, and the unit is kW; the fan draws in air from the atmosphere, which may be considered v00; because the elevation difference between the air inlet and the outlet of the fan is not large, the z can be considered as2-z0Is approximately 0; the air passes through a short time from the air inlet to the fan outlet, and the fan body and the air inlet and outlet channels are insulated, so that the heat dissipation of the fan system to the outside is neglected, and Q is 0; in the working temperature range of the power station boiler fan, the air constant-pressure specific heat capacity changes little along with the temperature, and can be considered as a constant value, namely cp0=cp2=cp1.004 kJ/(kg. K); the air inlet of the fan enters under the condition of no heating and the likeTemperature T of the air1Approximation and T0Are equal.
Step 2.2, obtaining by arranging the formula (1):
step 2.3, simplifying the formula (2) to obtain:
in the above formula, T1The absolute temperature of air at the inlet of the fan is K; whereinSubstituting the formula (3) to obtain:
in the above formula, ρ2Is the density of air at the outlet of the fan and has the unit of kg/m3;A2For measuring the cross-sectional area of the outlet of the fan, the unit is m2;
And 2.4, calculating to obtain the static pressure of the outlet of the fan as follows:
in the above formula, paThe real-time atmospheric pressure of the atmospheric environment is expressed in Pa; p is a radical of2Static pressure (gauge pressure) at the outlet of the fan is expressed in Pa;
step 2.5, the ECS of the DCS monitors the input electric power of the fan motor in real time, and the mechanical power of the fan shaft can be obtained according to the efficiency of the motor; obtaining shaft mechanical power W from a mating motor using a simplified process fan shafts:
Ws=ηmηtWm (6)
In the above formula, WmInputting power for a fan motor, wherein the unit is kW; etamThe motor efficiency of the fan is small along with the change of the load, and eta is approximately takenm=0.96;ηtGet eta for the transmission efficiency of the shaft coupling of the fan shaft and the motor shaftt=0.98;
And 2.6, substituting the above formula (5) and the above formula (6) into the above formula (4) to obtain a unitary cubic equation of the mass flow m of the air conveyed by the fan, and simplifying the unitary cubic equation of the mass flow m of the air conveyed by the fan to obtain:
x3+ px + q ═ 0, where p, q are constants; and x3+ px + q ═ 0 has the only solid root;
step 2.7, according to equation x3Solving the value of the mass flow m of the air conveyed by the fan by a root-solving formula of + px + q ═ 0;
step 3, calculating the air power W of the fanu;
Step 3.1, calculating the air power of the fan according to DL/T469-:
Wu=m·yF (7)
in the above formula, WuThe unit is kW; m is the mass flow of air conveyed by the fan, and the unit is kg/s; y isFThe unit mass work of the fan is kJ/kg;
step 3.2, calculating the unit mass work y of the fanF:
In the above formula, yFThe unit mass work of the fan is kJ/kg; p is a radical of2Is the static pressure at the outlet of the fan and has the unit of Pa; p is a radical of1Static pressure at the inlet of the fan is Pa; rhomIs the average density of the inlet and the outlet of the fan and has the unit of kg/m3,v2Is windThe unit of the airflow speed at the machine outlet is m/s; v. of1The air flow speed of the inlet of the fan is in m/s; delta p is the pressure difference at the inlet and the outlet of the fan, and the unit is Pa; rho2Is the density of air at the outlet of the fan and has the unit of kg/m3;A2For measuring the cross-sectional area of the outlet of the fan, the unit is m2;ρ1Is the density of air at the inlet of the fan and has the unit of kg/m3;A1For measuring the cross-sectional area of the fan inlet, in m2;
Wherein, the air density rho at the inlet of the fan1Comprises the following steps:
static pressure p at inlet of fan1Satisfies the following conditions:
p1=p2-Δp (10)。
step 4, calculating the fan efficiency eta:
in the above formula, WuThe unit is kW; wsMechanical power obtained for a fan shaft is kW; wmInputting power for a fan motor, wherein the unit is kW; etamThe motor efficiency of the fan is less along with the change of the load, and the motor efficiency of the fan is approximate to etam=0.96;ηtGet eta for the transmission efficiency of the shaft coupling of the fan shaft and the motor shaftt=0.98。
Example 2:
taking 1 primary air fan of a certain power plant as an example, the method in the embodiment 1 is adopted to calculate the fan efficiency, the fan performance test results are compared, the calculation and comparison results are shown in the following table 1, and the comparison results show that the relative deviation of the fan efficiency calculated by the method is within +/-5%, and the accuracy is high.
TABLE 1 Fan Performance test, calculation and comparison result table
Parameter name | (symbol) | Unit of | Working condition 1 | Working condition 2 | Working condition 3 | Working condition 4 |
Atmospheric pressure | pa | Pa | 101698 | 101290 | 101406 | 101406 |
Cross sectional area of inlet of fan | A1 | m2 | 2.49 | 2.49 | 2.49 | 2.49 |
Cross sectional area of fan outlet | A2 | m2 | 4.42 | 4.42 | 4.42 | 4.42 |
Absolute temperature of air at inlet of fan | T1 | K | 296.75 | 296.85 | 297.25 | 297.45 |
Absolute temperature of air at outlet of fan | T2 | K | 307.67 | 308.59 | 306.85 | 307.34 |
Constant pressure specific heat capacity of air | Cp | kJ/(kg·K) | 1.004 | 1.004 | 1.004 | 1.004 |
Static pressure of air flow at inlet of fan | p1 | Pa | -307 | -284 | -197 | -210 |
Static pressure of air flow at outlet of fan | p2 | Pa | 8597 | 9031 | 7820 | 7972 |
Density of air flow at inlet of fan | ρ1 | kg/m3 | 1.189 | 1.184 | 1.185 | 1.184 |
Density of fan outlet air flow | ρ2 | kg/m3 | 1.247 | 1.244 | 1.239 | 1.238 |
Mean density of air flow | ρm | kg/m3 | 1.218 | 1.214 | 1.212 | 1.211 |
Inlet and outlet pressure difference of fan | Δp | Pa | 8904 | 9316 | 8017 | 8182 |
Input power of motor | Wm | kW | 603 | 635 | 442 | 429 |
Efficiency of the motor | ηm | % | 96 | 96 | 96 | 96 |
Efficiency of transmission | ηt | % | 98 | 98 | 98 | 98 |
Shaft power of fan | Ws | kW | 567.3 | 597.41 | 415.83 | 403.6 |
Calculating mass flow of fan | m | kg/s | 51.53 | 50.5 | 43.01 | 40.53 |
Air power of fan | Wu | kW | 371.09 | 382.18 | 281.32 | 271.07 |
Efficiency of the fan | η | % | 65.41 | 63.97 | 67.65 | 67.16 |
Performance test fan efficiency | η' | % | 65.71 | 63.51 | 65.21 | 66.7 |
Relative deviation of efficiency | % | -0.46 | 0.73 | 3.74 | 0.7 |
Claims (5)
1. The method for calculating the fan efficiency of the power station boiler on line in real time based on DCS parameters is characterized by comprising the following steps of:
step 1, obtaining mechanical power W of a shaft from a matched motor by a fan shaft in a fan systemsAir is sucked from the atmospheric environment, enters the fan body after passing through the fan inlet air duct, is pushed by the fan impeller, neglects the influence of air leakage, and enables the air to flow at the speed v2Conveying to a fan outlet air duct; recording the real-time atmospheric pressure p of the atmospheric environmentaRecording the input power W of the fan motor at this timemStatic pressure p at inlet of fan1Absolute temperature T of air at inlet of fan1Static pressure p at the outlet of the fan2Absolute temperature T of air at outlet of fan2(ii) a The measured sectional area of the inlet of the fan is A1(ii) a The measured sectional area of the outlet of the fan is A2(ii) a Recording the heat dissipation loss from the outer surface of the fan shell as Q in the process of sucking air by the fan;
step 2, calculating the mass flow m of air conveyed by the fan;
step 2.1, the equation is set forth by the energy balance:
in the above formula, m is the mass flow of air delivered by the fanThe bit is kg/s; c. Cp0The specific heat capacity is the constant pressure of the ambient atmosphere, and the unit is kJ/(kg. K); t is0Is the ambient atmospheric absolute temperature in K; v. of0The air flow speed of the inlet of the fan is in m/s; g is the acceleration of gravity in m/s2;z0Is the elevation of the inlet of the fan, and the unit is m; wsMechanical power obtained for a fan shaft is kW; c. Cp2The unit is kJ/(kg. K) which is the constant pressure specific heat capacity of air at the outlet of the fan; t is2The absolute temperature of air at the outlet of the fan is K; v. of2The air flow speed at the outlet of the fan is expressed in m/s; z is a radical of2Is the elevation of the outlet of the fan, and the unit is m; q is the loss of heat dissipation from the outer surface of the fan shell, and the unit is kW;
step 2.2, obtaining by arranging the formula (1):
step 2.3, simplifying the formula (2) to obtain:
in the above formula, T1The absolute temperature of air at the inlet of the fan is K; whereinSubstituting the formula (3) to obtain:
in the above formula, ρ2Is the density of air at the outlet of the fan and has the unit of kg/m3;A2For measuring the cross-sectional area of the outlet of the fan, the unit is m2;
And 2.4, calculating to obtain the static pressure of the outlet of the fan as follows:
in the above formula, paThe real-time atmospheric pressure of the atmospheric environment is expressed in Pa; p is a radical of2Is the static pressure at the outlet of the fan and has the unit of Pa;
step 2.5, obtaining the mechanical power W of the shaft from the matched motor by adopting the simplified processing fan shafts:
Ws=ηmηtWm (6)
In the above formula, WmInputting power for a fan motor, wherein the unit is kW; etamThe fan motor efficiency; etatThe transmission efficiency of a shaft coupling of the fan shaft and the motor shaft is improved;
and 2.6, substituting the above formula (5) and the above formula (6) into the above formula (4) to obtain a unitary cubic equation of the mass flow m of the air conveyed by the fan, and simplifying the unitary cubic equation of the mass flow m of the air conveyed by the fan to obtain: x is the number of3+ px + q ═ 0, where p, q are constants; and x3+ px + q ═ 0 has the only solid root;
step 2.7, according to equation x3Solving the value of the mass flow m of the air conveyed by the fan by a root-solving formula of + px + q ═ 0;
step 3, calculating the air power W of the fanu;
And 4, calculating the fan efficiency eta.
2. The DCS parameter-based real-time on-line calculation method for the fan efficiency of the utility boiler according to claim 1, wherein the method comprises the following steps: v in step 20=0;z2-z0Is 0; q is 0; c. Cp0=cp2=cp1.004 kJ/(kg. K); the temperature T of the air at the inlet of the fan under the condition of no heating1And T0Are equal.
3. The DCS parameter-based real-time on-line calculation method for the fan efficiency of the utility boiler according to claim 1, wherein the step 3 specifically comprises the following steps:
step 3.1, calculating the air power of the fan:
Wu=m·yF (7)
in the above formula, WuThe unit is kW; m is the mass flow of air conveyed by the fan, and the unit is kg/s; y isFThe unit mass work of the fan is kJ/kg;
step 3.2, calculating the unit mass work y of the fanF:
In the above formula, yFThe unit mass work of the fan is kJ/kg; p is a radical of2Is the static pressure at the outlet of the fan and has the unit of Pa; p is a radical of1Static pressure at the inlet of the fan is Pa; rhomIs the average density of the inlet and the outlet of the fan and has the unit of kg/m3,v2The air flow speed at the outlet of the fan is expressed in m/s; v. of1The air flow speed of the inlet of the fan is in m/s; delta p is the pressure difference at the inlet and the outlet of the fan, and the unit is Pa; rho2Is the density of air at the outlet of the fan and has the unit of kg/m3;A2For measuring the cross-sectional area of the outlet of the fan, the unit is m2;ρ1Is the density of air at the inlet of the fan and has the unit of kg/m3;A1For measuring the cross-sectional area of the fan inlet, in m2;
Wherein, the air density rho at the inlet of the fan1Comprises the following steps:
static pressure p at inlet of fan1Satisfies the following conditions:
p1=p2-Δp (10)。
4. the DCS parameter based real-time on-line calculating method for the fan efficiency of the utility boiler according to claim 1, wherein the step 4 specifically comprises the following steps:
in the above formula, WuThe unit is kW; wsMechanical power obtained for a fan shaft is kW; wmInputting power for a fan motor, wherein the unit is kW; etamThe fan motor efficiency; etatThe transmission efficiency of the fan shaft and the motor shaft coupler is improved.
5. The DCS parameter-based real-time on-line calculation method for the fan efficiency of the utility boiler according to claim 4, wherein the method comprises the following steps: eta is taken out of the efficiency of the fan motorm0.96; eta is taken from transmission efficiency of shaft coupling of fan shaft and motor shaftt=0.98。
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