CN108197407A - A kind of frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory - Google Patents
A kind of frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory Download PDFInfo
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Abstract
The present invention relates to the performance calculating fields of compressor, disclose a kind of frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory, the specific steps are：A, air supply compressor nameplate parameter, the capacity including suction cylinder and tonifying Qi cylinder, specified operating frequency are obtained；B, test experiments data, model of fit coefficient are obtained；C, air supply compressor operating parameter is inputted, including running frequency, air-breathing and the refrigerant condition of tonifying Qi, pressure at expulsion；D, according to running frequency and the refrigerant condition, compressor air suction flow, compressor flow of air supply and compressor air-discharging flow are calculated；E, according to compressor air suction flow, compressor flow of air supply and compressor air-discharging flow, the input power of air supply compressor is calculated；F, according to the input power of flow and air supply compressor, the delivery temperature of air supply compressor is calculated.Present invention saves the calculating time of model and costs, and accuracy is high, and calculating speed is fast.
Description
Technical field
Performance calculating field more particularly to a kind of frequency conversion benefit based on local linearization theory the present invention relates to compressor
Air compressor Calculation Methods for Performance.
Background technology
The advantages that frequency-changeable compressor controls since its is sustainable, is efficient is widely used in residential heat pump and air-conditioning.
But when heat pump system is run at low ambient temperatures, the mass flow of system and the efficiency of compressor are all because of relatively low suction temperature
Higher compression ratio and decline, what is brought therewith is exactly the deterioration of system COP (coefficient of performance).In recent years, in order to avoid
The decline of heat pump system COP at low ambient temperatures, the frequency-changeable compressor with tonifying Qi are widely used.Compared to traditional compression
Machine, there are two additional parameters for the frequency-changeable compressor with tonifying Qi：Intermediate pressure and tonifying Qi temperature, and the two parameters intercouple
Affect the performance of compressor.The analysis and prediction of compressor performance directly affect the type selecting and design of system.Therefore, it establishes
The quick calculation method of frequency-changeable compressor with tonifying Qi has the control with air supply compressor and Selection and Design particularly significant
Meaning.
In computation model, in order to improve model computational accuracy and widen the scope of application, model should be based on theoretical mechanism；For
The calculating speed of lifting theory model should calculate to avoid solving implied expression using display expression formula solve
Iterative process needed for formula.Therefore, it is necessary to a kind of explicit algorithm model based on theory come the frequency-changeable compressor of pre- measuring tape tonifying Qi
Performance.For the explicit algorithm model of compressor, existing research is concentrated mainly on traditional compressor without tonifying Qi, and
Lack the research for the compressor with tonifying Qi.Showing mass flow in the result of study of traditional compressor is and operation frequency
The relevant second order polynomial function of the ratio between rate and rated frequency；Input power is significantly by compressor rotary speed and the shadow of condensing pressure
It rings.However, for the compressor with tonifying Qi, it has the process of additional tonifying Qi and second-compressed, and mass velocity and input
Power is influenced by intermediate pressure and tonifying Qi temperature, therefore traditional compressor model cannot correctly reflect its characteristic.
At present, for the computation model of the frequency-changeable compressor with tonifying Qi, there is the explicit model (Tello- being fitted based on data
Oquendo,F.M.Navarro-Peris,E.,Gonzálvez-Maciá,J.New characterization
methodology for vapor-injection scroll compressors.International Journal of
Refrigeration,2017,74:528-539.) and the implicit model based on mass-heat balance theory (Cho, I.Y., Ko, S.B.,
Kim,Y.Optimization of injection holes in symmetric and asymmetric scroll
compressors with vapor injection.International Journal of Refrigeration,2012,
35(4):850–860；Dardenne,L.,Fraccari,E.,Maggioni,A.,Molinaroli,L.,Proserpio,L.,
Winandy,E.Semi-empirical modelling of a variable speed scroll compressor with
vapour injection.International Journal of Refrigeration,2015,54:76-87.) two kinds,
There is no the explicit models based on local linearization theory.It is fitted in explicit model in existing data, mass flow and input
Power is the polynomial function of tonifying Qi temperature and intermediate pressure.Data model of fit have under experimental conditions expression it is simple,
Precision is good, but due to lacking physical significance, and the accuracy of model may become unacceptable except experiment condition, autgmentability
Difference.In the implicit model based on mass-heat balance theory, mass flow and power are expressed as a series of from the conservation of energy and quality
The Nonlinear System of Equations shifted onto out in conservation, and pass through iterative solution, but calculating speed in solution procedure and steady can be made in this way
It is qualitative to be restricted.And the existing model directly derived from mass-energy balance theory is non-linear implicit equation, is not solved
Analysis solution, so with reference to existing theoretical model and explicit expression, it is impossible to directly obtain the explicit model with physical significance.
Therefore, those skilled in the art is dedicated to developing a kind of frequency conversion air supply compressor based on local linearization theory
Calculation Methods for Performance.
Invention content
In view of the drawbacks described above of the prior art, the technical problem to be solved by the present invention is to improve model computational accuracy simultaneously
Widen the scope of application and the calculating speed and stability of lifting theory model.
To achieve the above object, the present invention provides a kind of frequency conversion air supply compressor performances based on local linearization theory
Computational methods, can quickly, it is accurate must establish the frequency-changeable compressor with tonifying Qi performance calculate prediction model, save model
Time and cost are calculated, accuracy is high, and calculating speed is fast.
In the better embodiment of the present invention, comprise the concrete steps that：
A, air supply compressor nameplate parameter, the capacity including suction cylinder and tonifying Qi cylinder, specified operating frequency are obtained；
B, test experiments data, model of fit coefficient are obtained；
C, air supply compressor operating parameter is inputted, including running frequency, air-breathing and the refrigerant condition of tonifying Qi, exhaust pressure
Power；
D, according to running frequency and the refrigerant condition, compressor air suction flow, compressor flow of air supply and pressure are calculated
Contracting machine extraction flow；
E, according to compressor air suction flow, compressor flow of air supply and compressor air-discharging flow, air supply compressor is calculated
Input power；
F, it is compressed according to compressor air suction flow, the compressor flow of air supply, the compressor air-discharging flow and tonifying Qi
The input power of machine calculates the delivery temperature of air supply compressor.
Further, in above-mentioned steps b, specially compressor experiment data are carried out using the method for least square fitting
Regression analysis obtains the regression coefficient needed in accounting equation.
Further, in above-mentioned steps c, the refrigerant condition of air-breathing and tonifying Qi includes pressure, temperature or the enthalpy of refrigerant
Value, can be determined by the working condition of upstream and downstream component.
Further, in above-mentioned steps d, inspiratory flow equation is expressed as the function of normalization volumetric efficiency：
η=kv·ηv,ref (2)
In formula,It is inspiratory flow；It is every displacement for turning suction cylinder；N is rotary speed (rps)；vsucIt is air-breathing
The specific volume of flow；η is volumetric efficiency；kvIt is normalization volumetric efficiency；ηv,refIt is the volumetric efficiency in rated frequency.
In above-mentioned steps d, the overall calculating process of the compressor air suction flow is represented by：
In formula, frIt is the ratio of speed and rated frequency；PinjIt is superfeed pressure；PsucIt is pressure of inspiration(Pi)；a1-a5It is
Fitting coefficient in inspiratory flow equation, can be by obtaining in above-mentioned steps b.
In above-mentioned steps d, the polytropic process calculating in flow of air supply equation employs the second Taylor series formula and carries out part
Linearization process, the method can return polytropic coefficient by linear equation：
In formula, TcomIt is the temperature for being compressed refrigerant；TsucIt is suction temperature；σ is higher order indefinite small；nsucIt is air-breathing
The polytropic coefficient of polytropic process in cylinder, can be by obtaining after linearisation in above-mentioned steps b, b6-b8It is that tonifying Qi mass flow is intended
Collaboration number, can be by obtaining in above-mentioned steps b.
In above-mentioned steps d, the overall calculating process of the compressor flow of air supply is represented by：
In formula,It is flow of air supply；It is every displacement for turning suction cylinder；vinjIt is the specific volume of flow of air supply；PdisIt is row
Atmospheric pressure；TsucIt is suction temperature；b1-b8It is fitting coefficient, it can be by being obtained in above-mentioned steps b.
In above-mentioned steps d, the overall calculating process of the compressor air-discharging flow is represented by：
In formula,It is extraction flow.
Further, in above-mentioned steps e, total power input equation is linearized with the second Taylor series method, wherein changeable
Coefficient can be by obtaining in above-mentioned steps b：
In above-mentioned steps e, the overall calculating process of the air supply compressor input power is represented by：
In formula,It is the air supply compressor total power input, c1-c3,d1-d5,e1-e4It is dimensionless fitting system
Number, can be by obtaining in above-mentioned steps b.
Further, in above-mentioned steps e, dimensionless factor is usedHeat content is leaked to discharging enthalpy shadow to reflect in model
It rings, it can be returned by experimental data, can be by being obtained in above-mentioned steps b.
Further, in above-mentioned steps f, the overall calculating process of the air supply compressor delivery temperature is represented by：
Tdis=Func (Pdis,hdis) (9)
In formula, TdisIt is delivery temperature；hdisIt is exhaust enthalpy；Func represents the explicit function of refrigerant thermodynamic property.
Further, exhaust enthalpy hdisIt is represented by：
Compared with prior art, the present invention develop a kind of frequency conversion air supply compressor performance based on local linearization theory
Quick calculation method, it is total to input including air-breathing and tonifying Qi mass flowrate available for the performance parameter of fast prediction air supply compressor
Power and delivery temperature.All calculation formula are the explicit expression based on theory deduction in the present invention, can ensured
Calculating speed is promoted while computational accuracy.Compared to existing other methods, the method for the present invention can be before ensureing that precision is identical
It puts, calculating speed improves 102-103Times.
The technique effect of the design of the present invention, concrete structure and generation is described further below with reference to attached drawing, with
It is fully understood from the purpose of the present invention, feature and effect.
Description of the drawings
Fig. 1 is the tonifying Qi frequency-changeable compressor structure chart of the preferred embodiment of the present invention；
Fig. 2 is the tonifying Qi frequency-changeable compressor calculating parameter figure of the preferred embodiment of the present invention；
Fig. 3 is the calculation flow chart of the preferred embodiment of the present invention.
Specific embodiment
Multiple preferred embodiments of the present invention are introduced below with reference to Figure of description, make its technology contents more clear and just
In understanding.The present invention can be emerged from by many various forms of embodiments, and protection scope of the present invention not only limits
The embodiment that Yu Wenzhong is mentioned.
In the accompanying drawings, the identical component of structure is represented with same numbers label, everywhere the similar component of structure or function with
Like numeral label represents.The size and thickness of each component shown in the drawings are to be arbitrarily shown, and there is no limit by the present invention
The size and thickness of each component.In order to make diagram apparent, some places suitably exaggerate the thickness of component in attached drawing.
As shown in figure 3, this method comprises the concrete steps that：
A, air supply compressor nameplate parameter, the capacity including suction cylinder and tonifying Qi cylinder, specified operating frequency are obtained；
B, test experiments data, model of fit coefficient are obtained；
C, air supply compressor operating parameter is inputted, including running frequency, air-breathing and the refrigerant condition of tonifying Qi, exhaust pressure
Power；
D, according to running frequency and the refrigerant condition, compressor air suction flow, compressor flow of air supply and pressure are calculated
Contracting machine extraction flow；
E, according to compressor air suction flow, compressor flow of air supply and compressor air-discharging flow, air supply compressor is calculated
Input power；
F, it is compressed according to compressor air suction flow, the compressor flow of air supply, the compressor air-discharging flow and tonifying Qi
The input power of machine calculates the delivery temperature of air supply compressor.
In the step a, the nameplate parameter of air supply compressor can be imported by third party, and mode includes csv texts
Part, dll files etc., model can obtain relevant parameter automatically.
In the step b, specially compressor experiment data return using the method for least square fitting and be divided
Analysis obtains the regression coefficient needed in accounting equation.
In the step c, the refrigerant condition of air-breathing and tonifying Qi includes pressure, temperature or the enthalpy of refrigerant, can be by
The working condition of upstream and downstream component determines.
As depicted in figs. 1 and 2, in the step d, inspiratory flow equation is expressed as the letter of normalization volumetric efficiency
Number：
η=kv·ηv,ref (2)
In formula,It is inspiratory flow；It is every displacement for turning suction cylinder；N is rotary speed (rps)；vsucIt is air-breathing
The specific volume of flow；η is volumetric efficiency；kvIt is normalization volumetric efficiency；ηv,refIt is the volumetric efficiency in rated frequency.
As depicted in figs. 1 and 2, in the step d, the overall calculating process of the compressor air suction flow can table
It is shown as：
In formula, frIt is the ratio of speed and rated frequency；PinjIt is superfeed pressure；PsucIt is pressure of inspiration(Pi)；a1-a5It is
Fitting coefficient in inspiratory flow equation, can be by obtaining in the step b.
As depicted in figs. 1 and 2, in the step d, the polytropic process calculating in flow of air supply equation employs second order
Taylor expansion carries out local linearization processing, and the method can return polytropic coefficient by linear equation：
In formula, TcomIt is the temperature for being compressed refrigerant；TsucIt is suction temperature；σ is higher order indefinite small；nsucIt is air-breathing
The polytropic coefficient of polytropic process in cylinder, can be by obtaining after linearisation in the step b, b6-b8It is tonifying Qi mass flow
Fitting coefficient, can be by obtaining in above-mentioned steps b.
As depicted in figs. 1 and 2, in the step d, the overall calculating process of the compressor flow of air supply can table
It is shown as：
In formula,It is flow of air supply；It is every displacement for turning suction cylinder；vinjIt is the specific volume of flow of air supply；PdisIt is row
Atmospheric pressure；TsucIt is suction temperature；b1-b8It is fitting coefficient, it can be by being obtained in the step b.
As depicted in figs. 1 and 2, in the step d, the overall calculating process of the compressor air-discharging flow can table
It is shown as：
In formula,It is extraction flow.
As depicted in figs. 1 and 2, it is with the second Taylor series method that total power input equation is linear in the step e
Change, wherein polytropic coefficient can be by obtaining in the step b.
As depicted in figs. 1 and 2, in the step e, the overall calculating process of the air supply compressor input power
It is represented by：
In formula,It is the air supply compressor total power input, c1-c3,d1-d5,e1-e4It is dimensionless fitting system
Number, can be by obtaining in the step b.
As depicted in figs. 1 and 2, in the step e, dimensionless factor is usedTo reflect leakage heat content pair in model
Discharging enthalpy influences, it can be returned by experimental data, can be by being obtained in the step b.
As depicted in figs. 1 and 2, in the step f, the overall calculating process of the air supply compressor delivery temperature
It is represented by：
Tdis=Func (Pdis,hdis) (9)
In formula, TdisIt is delivery temperature；,hdisIt is exhaust enthalpy；Func represents the explicit function of refrigerant thermodynamic property.Institute
The exhaust enthalpy h stateddisIt is represented by：
In order to verify the effect of this method, using document (Dardenne, L., Fraccari, E., Maggioni, A.,
Molinaroli,L.,Proserpio,L.,Winandy,E.Semi-empirical modelling of a variable
speed scroll compressor with vapour injection.International Journal of
Refrigeration,2015,54:Experimental data in 76-87.) is and existing by the computational accuracy and calculating speed of this model
Compared by what implicit nonlinear equation represented based on theoretical band tonifying Qi frequency-changeable compressor model, including based on theoretical
Model (Qiao, H.T., Aute, V., Radermacher, R.Transient modeling of a flash tank vapor
injection heat pump system–Part I:Model development.International Journal of
Refrigeration,2015a,49:169-182.) and semiempirical model (Dardenne, L., Fraccari, E.,
Maggioni,A.,Molinaroli,L.,Proserpio,L.,Winandy,E.Semi-empirical modelling of
a variable speed scroll compressor with vapour injection.International
Journal of Refrigeration,2015,54:76-87.).In the calculating that CPU is Intel's Intel Core i3 and RAM is 8GB
On machine verification operation is carried out using MATLAB.The verification condition of model is shown in Table 1.
The verification condition of 1 model of table
| Verification condition | Range |
| Speed-f (Hz) | 40-120 |
| Pressure of inspiration(Pi)-Psuc (kPa) | 300-900 |
| Superfeed pressure-Pinj (kPa) | 900-2000 |
| Pressure at expulsion-Pdis (kPa) | 2000-4000 |
| Suction superheat (K) | 5-10 |
| The tonifying Qi degree of superheat (K) | 1-5 |
Table 2 lists the comparison of explicit algorithm model proposed by the present invention and existing model computational accuracy.The result shows that this
The computational accuracy of model is better than theoretical model, suitable with existing semiempirical model.
2 model computational accuracy of table compares
Table 3 lists the comparison of explicit algorithm model proposed by the present invention and existing model calculating speed.The result shows that this
The calculating speed of model faster than existing theoretical model 102Times, faster than semiempirical model 103Times.
3 model calculating speed of table compares
As the above analysis, the present invention is established by using local linearization mothed based on local linearization theory
Frequency conversion air supply compressor explicit algorithm model.In the present invention, inspiratory flow is expressed as the function of normalized volumetric efficiency；
Flow of air supply is calculated by local linearization mothed；Total power input is carried out by the second Taylor series formula at local linearization
Reason；Delivery temperature equation avoids the compression case body drain heat in iterative process from calculating using the hot factor is leaked, so as to fulfill
The accurate quick calculating of air supply compressor performance parameter.Verification result shows that computational accuracy of the invention is suitable with existing model,
Calculating speed faster than existing model 102-103Times, get good effect.
The preferred embodiment of the present invention described in detail above.It should be appreciated that the ordinary skill of this field is without wound
The property made labour, which according to the present invention can conceive, makes many modifications and variations.Therefore, all technician in the art
Pass through the available technology of logical analysis, reasoning, or a limited experiment on the basis of existing technology under this invention's idea
Scheme, all should be in the protection domain being defined in the patent claims.
Claims (10)
- A kind of 1. frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory, which is characterized in that its specific step Suddenly it is：A, air supply compressor nameplate parameter, the capacity including suction cylinder and tonifying Qi cylinder, specified operating frequency are obtained；B, test experiments data, model of fit coefficient are obtained；C, air supply compressor operating parameter is inputted, including running frequency, air-breathing and the refrigerant condition of tonifying Qi, pressure at expulsion；D, according to the running frequency and the refrigerant condition, compressor air suction flow, compressor flow of air supply and pressure are calculated Contracting machine extraction flow；E, according to the compressor air suction flow, the compressor flow of air supply and the compressor air-discharging flow, tonifying Qi is calculated The input power of compressor；F, according to the compressor air suction flow, the compressor flow of air supply, the compressor air-discharging flow and the tonifying Qi The input power of compressor calculates the delivery temperature of air supply compressor.
- 2. the frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory as described in claim 1, feature It is, the step a, the air supply compressor nameplate parameter is imported by third party.
- 3. the frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory as claimed in claim 2, feature It is, the third party, which import, includes csv files, dll file lead-in modes.
- 4. the frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory as described in claim 1, feature It is, the step b, the model of fit coefficient returns compressor experiment data using the method for least square fitting Analysis obtains the regression coefficient of accounting equation.
- 5. the frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory as described in claim 1, feature It is, the step c, the refrigerant condition of the air-breathing and tonifying Qi includes pressure, temperature or the enthalpy of refrigerant, by upstream and downstream The working condition of component determines.
- 6. the frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory as described in claim 1, feature It is, the step d, the compressor air suction flow equation is expressed as the function of normalization volumetric efficiency：η=kv·ηv,ref(2),The overall calculating process of the compressor air suction flow is：Polytropic process in the compressor flow of air supply equation, which is calculated, to be carried out using the second Taylor series formula at local linearization Reason, polytropic coefficient is returned by linear equation：The overall calculating process of the compressor flow of air supply is：The overall calculating process of the compressor air-discharging flow is：
- 7. the frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory as described in claim 1, feature It is, the step e, is linearly turned to the input power equation of the air supply compressor with the second Taylor series method：The overall calculating process of the air supply compressor input power is：
- 8. the frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory as claimed in claim 7, feature It is, in the step e, uses dimensionless factorReflect that leakage heat content influences discharge enthalpy in model, passes through experimental data It returns, by being obtained in the step b.
- 9. the frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory as described in claim 1, feature It is, the step f, the overall calculating process of the delivery temperature of the air supply compressor is：Tdis=Func (Pdis,hdis) (9)。
- 10. the frequency conversion air supply compressor Calculation Methods for Performance based on local linearization theory as claimed in claim 9, feature It is, the hdisFor：
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