FIELD OF THE INVENTION
[0001] The present invention relates to a method for controlling a vapour compression system,
such as a refrigeration system, an air condition system or a heat pump, in a manner
which allows a superheat value of refrigerant leaving the evaporator to be lower than
is the case in prior art control methods.
BACKGROUND OF THE INVENTION
[0002] Vapour compression systems, such as refrigeration systems, air conditions systems
or heat pumps, normally comprise a compressor unit with one or more compressors, a
heat rejecting heat exchanger, at least one expansion device and at least one evaporator
arranged in a refrigerant path. Refrigerant flowing in the refrigerant path is compressed
by the compressors of the compressor unit before being supplied to the heat rejecting
heat exchanger. In the heat rejecting heat exchanger, heat exchange takes place between
the refrigerant and the ambient or a secondary fluid flow across the heat rejecting
heat exchanger, in such a manner that heat is rejected from the refrigerant.
[0003] The refrigerant leaving the heat rejecting heat exchanger is supplied to the expansion
device, where it undergoes expansion before being supplied to the evaporator. The
refrigerant being supplied to the evaporator is in the form of a mixture of liquid
and gaseous refrigerant. When passing through the evaporator, the liquid part of the
refrigerant is at least partly evaporated, while heat exchange takes place with the
ambient or a secondary fluid flow across the evaporator, in such a manner that heat
is absorbed by the refrigerant. Finally, the refrigerant is once again supplied to
the compressor unit.
[0004] Thus, refrigerant flowing in the refrigerant path is alternatingly compressed by
the compressors and expanded by the expansion device, while heat exchange takes place
in the heat rejecting heat exchanger and the evaporator, respectively.
[0005] It is desirable that liquid refrigerant is presents along the entire length of the
evaporator, because thereby the entire length of the evaporator is used for evaporating
refrigerant, and thereby the potential capacity of the evaporator for providing cooling
is fully utilised. This provides an energy efficient operation of the vapour compression
system.
[0006] On the other hand, it should be avoided that liquid refrigerant passes through the
evaporator, because this may result in liquid refrigerant reaching the compressor
unit, and this may cause damage to the compressors.
[0007] Therefore, it is normally attempted to control the vapour compression system, in
particular an opening degree of the expansion device, in such a manner that all of
the liquid refrigerant has been evaporated shortly before reaching the outlet of the
evaporator.
[0008] In order to obtain this, the superheat value of refrigerant leaving the evaporator
may be monitored. The superheat is defined as the temperature difference between the
evaporating temperature and the temperature of the refrigerant leaving the evaporator.
Thus, a high superheat value indicates that the temperature of the refrigerant leaving
the evaporator is significantly higher than the evaporating temperature. This is an
indication that all of the liquid refrigerant has been evaporated well before reaching
the outlet of the evaporator, and that energy is therefore used for heating the gaseous
part of the refrigerant passing through the evaporator, that the heat exchange taking
place in the evaporator is not optimal, and that the vapour compression system is
therefore not operated in an energy efficient manner.
[0009] On the other hand, zero superheat indicates that the temperature of the refrigerant
leaving the evaporator is equal to the evaporating temperature. This is an indication
that liquid refrigerant is present along the entire length of the evaporator, and
that the potential capacity of the evaporator is thereby fully utilised and the vapour
compression system is operating in an energy efficient manner. However, at zero superheat
it is not possible to determine whether all of the refrigerant has been evaporated
exactly when the outlet of the evaporator is reached, or if a significant amount of
liquid refrigerant is in fact allowed to pass through the evaporator and potentially
reach the compressors.
[0010] Accordingly, it is normally attempted to control the vapour compression system in
such a manner that a superheat value is obtained, which is small, but positive, i.e.
greater than zero. Thereby it is obtained that the vapour compression system is operated
in an energy efficient manner without risking that liquid refrigerant reaches the
compressors.
[0011] For low superheat values, the superheat signal may become unstable, in the sense
that the variance of the superheat signal increases. This is due to chaotic processes
taking place in the evaporator at the point where the last part of the liquid refrigerant
is evaporated. In order to avoid that the superheat value decreases to zero, due to
a high variance, a superheat setpoint may be selected which ensures that the superheat
value is within the stable region.
[0012] The boundary between stable and unstable superheat control, sometimes referred to
as Minimum Stable Superheat (MSS), varies as a function of operating conditions, load
variations, etc. Thereby, when a superheat setpoint has been selected, which is within
the stable region, this may result in the superheat value being well above zero, thereby
causing the vapour compression system to be operated in a non-optimal manner.
[0013] US 6,018,959 discloses a method for controlling the superheat temperature of the refrigerant in
an evaporator arrangement of a refrigeration system or heat pump system. The superheat
temperature is controlled in dependence on a comparison between desired and actual
values. The desired value of the superheat temperature is varied automatically in
dependence on the difference from a reference value of a periodically determined function
of a number of sampled values of a temperature of the refrigerant with the aim of
stable control of the superheat temperature.
DESCRIPTION OF THE INVENTION
[0014] It is an object of embodiments of the invention to provide a method for controlling
a vapour compression system in a more energy efficient manner than prior art control
methods.
[0015] The invention provides a method for controlling a vapour compression system, the
vapour compression system comprising a compressor unit, a heat rejecting heat exchanger,
an expansion device and an evaporator arranged in a refrigerant path, the method comprising
the steps of:
- deriving a superheat value of refrigerant leaving the evaporator,
- calculating a quantity being representative for a variance of the derived superheat
value,
- calculating a reference superheat value, based on the calculated quantity and on a
minimum acceptable superheat value, and
- operating the expansion device in accordance with the calculated reference superheat
value, and in order to obtain a superheat of refrigerant leaving the evaporator which
is equal to the reference superheat value.
[0016] Thus, the method according to the invention is a method for controlling a vapour
compression system. In the present context the term 'vapour compression system' should
be interpreted to mean any system in which a flow of fluid medium, such as refrigerant,
circulates and is alternatingly compressed and expanded, thereby providing either
refrigeration or heating of a volume. Thus, the vapour compression system may be a
refrigeration system, an air condition system, a heat pump, etc.
[0017] The vapour compression system comprises a compressor unit comprising one or more
compressors, a heat rejecting heat exchanger, an expansion device and an evaporator
arranged in a refrigerant path. Refrigerant circulating the refrigerant path is compressed
by the compressors of the compressor unit before being supplied to the heat rejecting
heat exchanger. In the heat rejecting heat exchanger heat exchange takes place between
the refrigerant and the ambient or a secondary fluid flow across the heat rejecting
heat exchanger, in such a manner that heat is rejected from the refrigerant. The heat
rejecting heat exchanger may be in the form of a condenser, in which case the refrigerant
is at least partly condensed when passing through the heat rejecting heat exchanger.
As an alternative, the heat rejecting heat exchanger may be in the form of a gas cooler,
in which case the refrigerant passing through the heat rejecting heat exchanger is
cooled, but remains in a gaseous or trans-critical state.
[0018] Refrigerant leaving the heat rejecting heat exchanger is supplied to the expansion
device, where it undergoes expansion before being supplied to the evaporator. The
refrigerant being supplied to the evaporator is in a mixed state of gaseous and liquid
refrigerant. In the evaporator, the liquid part of the refrigerant is at least partly
evaporated, while heat exchange takes place between the refrigerant and the ambient
or a secondary fluid flow across the evaporator, in such a manner that heat is absorbed
by the refrigerant. Finally, the refrigerant leaving the evaporator is supplied to
the compressor unit, via a suction line.
[0019] The vapour compression system may comprise two or more expansion devices and two
or more evaporators. In this case each expansion device supplies refrigerant to one
of the evaporators, and the evaporators, along with their respective expansion devices,
are arranged fluidly in parallel between the heat rejecting heat exchanger and the
suction line. This is, e.g., relevant in refrigeration systems with several cooling
entities, such as a supermarket refrigeration system with several display cases or
cabinets. In this case each evaporator is arranged in thermal contact with a refrigerated
volume of one of the cooling entities.
[0020] Thus, the refrigerant circulating the refrigerant path is alternatingly compressed
by the compressors of the compressor unit and expanded by the expansion device, while
heat exchange takes place in the heat rejecting heat exchanger and the evaporator.
[0021] In the method according to the invention, a superheat value of refrigerant leaving
the evaporator is initially derived. As described above, the superheat value of refrigerant
leaving the evaporator is defined as the temperature difference between the evaporating
temperature of the refrigerant and the actual temperature of the refrigerant leaving
the evaporator. Furthermore, as described above, the superheat value is a relevant
control parameter for ensuring energy efficient operation of the vapour compression
system, and for preventing that liquid refrigerant reaches the compressor unit. The
superheat value may be measured directly, or it may be derived from two measured parameters.
This will be described in further detail below.
[0022] Next, a quantity being representative for a variance of the derived superheat value
is calculated. The quantity may, e.g., be an appropriate variance of the derived superheat
value. As an alternative, it may be a variance of another parameter which is related
to the superheat value, e.g. the temperature of refrigerant leaving the evaporator.
This will be described in further detail below.
[0023] In any event, the calculated quantity is representative for the variance of the derived
superheat value, and thereby it reflects in which manner and how much the superheat
value varies. A low variance indicates that the superheat value is stable, whereas
a high variance indicates that the superheat value is unstable. As described above,
an unstable superheat, and thereby a high variance, may be expected when the vapour
compression system is operated at low superheat values.
[0024] The variance of the superheat value provides a measure for how much the superheat
value may be expected to deviate from a mean superheat value, at least for most of
the time. In particular, the variance of the superheat defines a range of superheat
values below the mean superheat value, within which it is likely to find the actual
superheat value. The higher the variance, the more the superheat value may be expected
to deviate, and thereby the larger the defined range of superheat values. Accordingly,
at high variances there is a significant risk that the actual superheat value is significantly
lower than the mean superheat value. Therefore, if the mean superheat value is low
and the variance of the superheat value is high, then there is a risk that zero superheat
is reached sufficiently often and for sufficiently long time periods to introduce
a risk of liquid refrigerant reaching the compressor unit.
[0025] For instance, the quantity being representative for the variance of the derived superheat
value may be of a kind which represents that the superheat value is within a range
around the mean superheat value defined by the variance, for at least 95% of the time.
[0026] Next, a reference superheat value is calculated, based on the calculated quantity
and on a minimum acceptable superheat value. The minimum acceptable superheat value
is a superheat value below which it is undesirable to go. Thus, the minimum acceptable
superheat value constitutes a lower boundary for a range of superheat values which
ensures appropriate operation of the vapour compression system, in particular with
respect to preventing that liquid refrigerant reaches the compressor unit. The minimum
superheat value is typically a small, but positive value, such as 1-5 K, e.g. approximately
2 K or 3 K, thereby ensuring that the superheat remains positive.
[0027] Accordingly, the reference superheat value is calculated with due consideration to
the minimum acceptable superheat value, and while taking the variance of the superheat
value into account. Thereby the reference superheat value can be selected in such
a manner that the variance of the superheat value will not cause the superheat value
to decrease below the minimum acceptable superheat value, possibly except on rare
occasions and/or briefly. It may be acceptable that zero superheat is reached rarely
and briefly, since small amounts of liquid refrigerant may not harm the compressors.
Furthermore, a limited amount of liquid refrigerant which enters the suction line
may be evaporated before it reaches the compressor unit. This may, e.g., be the case
in vapour compression systems comprising two or more evaporators, where hot gaseous
refrigerant entering the suction line from the other evaporators may cause evaporation
of the liquid refrigerant.
[0028] Thereby the reference superheat value is calculated in accordance with the prevailing
operating conditions, and in such a manner that it is as close as possible to the
minimum acceptable superheat value without risking that the prevailing variance of
the superheat value causes it to decrease below the minimum acceptable superheat value
to an extent which would introduce an unacceptable risk of liquid refrigerant reaching
the compressor unit.
[0029] Finally, the expansion device is operated in accordance with the calculated reference
superheat value, and in order to obtain a superheat of refrigerant leaving the evaporator
which is equal to the reference superheat value. Accordingly, the expansion device
is operated in order to control the refrigerant supply to the evaporator in such a
manner that the reference superheat value is obtained. This may, e.g., include adjusting
an opening degree of the expansion device or modulating a duty cycle of the expansion
device. The control of the expansion device may, thus, be a standard setpoint control
with the reference superheat value as the setpoint value.
[0030] Accordingly, the vapour compression system is controlled in accordance with the reference
superheat value which was calculated in the manner described above. Thereby it is
obtained that the superheat of refrigerant leaving the evaporator is as low as possible,
thereby ensuring energy efficient operation of the vapour compression system, while
preventing liquid refrigerant from reaching the compressor unit. Thereby the method
according to the invention strikes an appropriate balance between energy efficient
operation of the vapour compression system and protecting the compressors.
[0031] The method according to the present invention relies on the realisation that it may
be acceptable to operate the vapour compression system at a superheat value which
is within the unstable operating range, as long as it is ensured that the elevated
variance of the superheat value, which is caused by the unstable conditions, will
not cause the superheat value to reach zero superheat to an extent which introduces
a risk of damage to the compressors.
[0032] Thus, the method according to the invention allows the vapour compression system
to be safely operated at lower superheat values than prior art control methods, thereby
increasing the energy efficiency of the vapour compression system.
[0033] The step of calculating a quantity being representative for a variance of the derived
superheat value may comprise calculating the variance of the derived superheat value.
[0034] According to this embodiment, the actual variance of the superheat value is calculated
and applied when the reference superheat value is calculated. As an alternative, another
suitable quantity may be calculated, e.g. a variance of the temperature of refrigerant
leaving the evaporator. As described above, the superheat value is the temperature
difference between the evaporating temperature and the actual temperature of the refrigerant
leaving the evaporator. The temperature of the refrigerant leaving the evaporator
may be expected to vary to a greater extent than the evaporating temperature. Therefore,
the variance of the temperature of refrigerant leaving the evaporator may be regarded
as a suitable representation of the variance of the superheat value. As another alternative,
the calculated quantity may be a quantity which is proportional to the variance of
the superheat value or the variance of the temperature of refrigerant leaving the
evaporator.
[0035] The step of calculating a reference superheat value may comprise adding the minimum
acceptable superheat value and the calculated quantity.
[0036] According to this embodiment, the reference superheat value is selected as a value
which is above the minimum acceptable superheat value by an amount which corresponds
to the calculated quantity, and thereby to the variance of the superheat. Thereby,
when the expansion device is subsequently operated in order to obtain a superheat
which is equal to the reference superheat, it is ensured that, at the current variance,
the superheat will not decrease below the minimum acceptable superheat value, even
at a lower extreme of the superheat range defined by the variance. Furthermore, this
is a simple and reliable way of calculating the reference superheat value.
[0037] The step of calculating a quantity being representative for a reference superheat
value may further comprise applying a low pass filter. According to this embodiment,
any fast varying components of variance of the superheat value are removed from the
calculated quantity before it is applied for calculating the reference superheat value.
Thereby it is ensured that the calculated reference superheat value varies in a smooth
manner.
[0038] The time constant of the low pass filter may be larger than a time constant of a
controller used during operation of the expansion device. Thereby it is ensured that
adjustments of the expansion device, e.g. in the form of adjustments of an opening
degree of the expansion device, are performed in accordance with true and slow variations
in the reference superheat value, thereby ensuring smooth operation of the expansion
device.
[0039] The step of calculating a quantity being representative for a variance of the derived
superheat value may comprise deriving a standard deviation of the derived superheat
value and multiplying the standard deviation by an impact factor.
[0040] According to this embodiment, the variance of the superheat value is in the form
of a standard deviation of the derived superheat value. Assuming that the derived
superheat values follow a normal distribution, approximately 68% of the derived superheat
values will be within a range defined by the mean superheat value +/- the standard
deviation.
[0041] The impact factor determines to which extent the variance of the superheat should
be taken into account when calculating the reference superheat value. The impact factor
may be 1, in which case the quantity being representative for the variance of the
derived superheat is simply the standard deviation of the derived superheat value.
Alternatively, the impact factor may be larger than 1. In this case, the quantity
is correspondingly larger than the standard deviation, thereby creating a larger margin
between the reference superheat value and the minimum acceptable superheat value,
and thereby reducing the risk of the superheat value decreasing to zero.
[0042] The impact factor may, e.g., be selected during initial configuration of the vapour
compression system. For instance, the selection of the impact factor may be performed
with due consideration to the design and expected operating conditions of the vapour
compression system. It may further be taken into account to which extent it may be
accepted that zero superheat is reached. If the vapour compression system is very
sensitive with regard to liquid refrigerant entering the suction line, then a high
impact factor may be selected, thereby reducing the risk that the superheat decreases
to zero. If, on the other hand, the vapour compression system is less sensitive to
liquid refrigerant entering the suction line, e.g. because the vapour compression
system comprises several evaporators, then a lower impact factor may be selected.
[0043] As an alternative to deriving a standard deviation of the derived superheat value,
a mean deviation of the derived superheat value, or another suitable measure for the
variance of the superheat value, may derived.
[0044] The step of operating the expansion device may be performed by means of a proportional
integral (PI) controller. According to this embodiment, the expansion device is operated
in accordance with a standard PI control strategy with the reference superheat value
as the setpoint value. Alternatively, another suitable control strategy may be applied.
[0045] The step of deriving a superheat value of refrigerant leaving the evaporator may
comprise measuring a temperature of refrigerant leaving the evaporator and an evaporating
temperature of the evaporator, and calculating the superheat value from the measured
temperatures.
[0046] As described above, the superheat value is the temperature difference between the
evaporating temperature and the temperature of refrigerant leaving the evaporator.
Therefore, if the temperature of refrigerant leaving the evaporator and the evaporating
temperature are measured, the superheat value can readily be derived by subtracting
the measured evaporating temperature from the measured refrigerant temperature.
[0047] The temperatures may, e.g., be measured by means of temperature sensors arranged
in the refrigerant path at the outlet of the evaporator and inside the evaporator,
respectively.
[0048] As an alternative, the step of deriving a superheat value of refrigerant leaving
the evaporator may comprise measuring a temperature of refrigerant leaving the evaporator
and a pressure of refrigerant leaving or entering the evaporator, and calculating
the superheat value from the measured temperature and pressure.
[0049] For a given refrigerant, the evaporating temperature depends on the pressure inside
the evaporator. Thus, knowing the type of refrigerant applied in the vapour compression
system, the evaporating temperature can be derived from the pressure prevailing in
the evaporator. The pressure at the inlet or at the outlet of the evaporator provides
a suitable measure for the pressure prevailing in the evaporator. Accordingly, the
evaporating temperature can be at least approximately derived from a refrigerant pressure
measured at the inlet or at the outlet of the evaporator. This allows the superheat
value to be derived in the manner described above.
[0050] As another alternative, the step of deriving a superheat value of refrigerant leaving
the evaporator may comprise measuring a temperature of refrigerant leaving the evaporator
and a temperature of refrigerant entering the evaporator, and calculating the superheat
value from the measured temperatures.
[0051] Similarly to the embodiment described above, the evaporating temperature can also
be derived from the temperature of refrigerant entering the evaporator. As described
above, the refrigerant entering the evaporator is in a mixed liquid and gaseous state,
i.e. it is in a two-phase state. Therefore, for pure substances, the refrigerant temperature
measured at the inlet of the evaporator is in fact the evaporation temperature. However,
some refrigerants consist of more substances which means that the temperature depends
on the quality (fraction of liquid and gas) known as glides. For such refrigerants,
it is still possible to derive the evaporating temperature from the refrigerant temperature
at the inlet of the evaporator. Thus, it is also possible to derive the superheat
value, based on the derived evaporating temperature, in the manner described above.
[0052] The method may further comprise the steps of:
- opening the expansion device and subsequently operating the expansion device in accordance
with a previously stored reference superheat value,
- monitoring the superheat value of refrigerant leaving the evaporator, and
- in the case that the superheat value of refrigerant leaving the evaporator decreases
below a predefined threshold value, performing the steps of calculating a quantity
being representative for a variance of the derived superheat value, calculating a
reference superheat value, based on the calculated quantity and on a minimum acceptable
superheat value, and operating the expansion device in accordance with the calculated
reference superheat value, and in order to obtain a superheat of refrigerant leaving
the evaporator which is equal to the reference superheat value.
[0053] According to this embodiment, the vapour compression system may be controlled in
the following manner. Following a period where the vapour compression system has been
stopped, or the expansion device has simply been closed for other reasons, thereby
preventing a refrigerant flow to the evaporator, the expansion device is opened in
order to once again allow refrigerant to be supplied to the evaporator. To this end
the expansion device is operated in accordance with a reference superheat value, which
has previously been stored. For instance, the previously stored reference superheat
value may be a reference superheat value which was applied before the expansion device
was closed, and it may have been derived in the manner described above. Thus, the
expansion device is operated in accordance with the last known operating conditions,
i.e. in accordance with conditions which were prevailing the last time the expansion
device was open. Assuming that the operating conditions vary slowly, this may be regarded
as an appropriate starting point, in particular the previously stored reference superheat
may be regarded as appropriate.
[0054] During this operation of the expansion device, the superheat value of refrigerant
leaving the evaporator is monitored and compared to a predefined threshold value.
[0055] In the case that the superheat value decreases below the predefined threshold value,
the method steps described above are initiated, i.e. a reference superheat value is
calculated in the manner described above, and the expansion device is subsequently
operated in accordance therewith.
[0056] Thus, according to this embodiment, following an opening of the expansion device,
as long as the superheat value is above the predefined threshold value, the expansion
device is simply operated in accordance with the previously stored reference superheat
value. However, when the superheat value decreases to a certain low level, defined
by the predefined threshold value, this is an indication that the superheat value
may be approaching the unstable region, and that it may therefore be relevant to adjust
the reference superheat value in accordance with the method according to the present
invention. Therefore the method steps described above are initiated when this occurs.
[0057] The predefined threshold value may be a predefined offset above the previously stored
reference superheat value. According to this embodiment, the method steps described
above are initiated when the superheat value approaches the previously stored reference
superheat value.
BRIEF DESCRIPTION OF THE DRAWINGS
[0058] The invention will now be described in further detail with reference to the accompanying
drawings in which
Fig. 1 is a diagrammatic view of a vapour compression system being controlled in accordance
with a method according to an embodiment of the invention,
Fig. 2 is a diagrammatic view of a vapour compression system being controlled in accordance
with a method according to an alternative embodiment of the invention,
Fig. 3 is a block diagram illustrating a control loop of a method according to an
embodiment of the invention,
Fig. 4 is a graph illustrating stable and unstable superheat regions for a vapour
compression system, and
Fig. 5 is a graph illustrating reference superheat values as a function of evaporator
capacity for a prior art control method and for a method according to an embodiment
of the invention.
DETAILED DESCRIPTION OF THE DRAWINGS
[0059] Fig. 1 is a diagrammatic view of a vapour compression system 1 being controlled in
accordance with a method according to an embodiment of the invention. The vapour compression
system 1 comprises a compressor unit 2, a heat rejecting heat exchanger 3, an expansion
device 4 and an evaporator 5 arranged in a refrigerant path. A fan 6 is arranged to
drive a secondary fluid flow across the heat rejecting heat exchanger 3.
[0060] During operation of the vapour compression system 1, refrigerant flowing in the refrigerant
path is compressed by means of the compressor(s) of the compressor unit 2 before being
supplied to the heat rejecting heat exchanger 3. When the refrigerant passes through
the heat rejecting heat exchanger 3, heat exchange takes place between the refrigerant
and the secondary fluid flow driven by the fan 6, in such a manner that heat is rejected
from the refrigerant.
[0061] The refrigerant leaving the heat rejecting heat exchanger 3 is supplied to the expansion
device 4, where it undergoes expansion before being supplied to the evaporator 5.
When passing through the evaporator 5, heat exchange takes place between the refrigerant
and air inside a refrigerated volume arranged in thermal contact with the evaporator
5, in such a manner that heat is absorbed by the refrigerant, while the liquid part
of the refrigerant is at least partly evaporated. Accordingly, cooling is thereby
provided to the refrigerated volume. Finally, the refrigerant is once again supplied
to the compressor unit 2.
[0062] The supply of refrigerant to the evaporator 5 is controlled by means of the expansion
device 4. The supply of refrigerant is controlled in order to obtain a superheat value
of refrigerant leaving the evaporator 5 which is equal to a reference superheat value.
To this end, an opening degree or a duty cycle of the expansion device 4 is adjusted,
e.g. according to a setpoint control strategy, e.g. applying a PI controller.
[0063] The reference superheat value which is applied for the control of the expansion device
4 may be calculated in the following manner. While the vapour compression system 1
operates as described above, the superheat value of refrigerant leaving the evaporator
5 is derived. The superheat value is required for the setpoint control of the expansion
device 4 described above. However, it is also used for the calculation of the reference
superheat value, as will be described below.
[0064] The superheat value may be derived from measurements of the temperature of refrigerant
leaving the evaporator 5 and one or more of the evaporating temperature in the evaporator
5, the pressure of refrigerant leaving the evaporator 5, the pressure of refrigerant
entering the evaporator 5 and the temperature of refrigerant entering the evaporator
5.
[0065] Next, a quantity being representative for a variance of the derived superheat value
is calculated. The calculated quantity may be a variance of the actual superheat value,
e.g. in the form of a standard deviation or a mean deviation, or it could be a variance
of another parameter which is related to the superheat value, e.g. the temperature
of refrigerant leaving the evaporator 5.
[0066] Finally, a reference superheat value is calculated, based on the calculated quantity
and on a minimum acceptable superheat value. The minimum acceptable superheat value
is a superheat value below which there is a considerable risk that liquid refrigerant
passes the evaporator 5 and reaches the compressor unit 2.
[0067] Thus, the reference superheat value is calculated with due respect to the minimum
acceptable superheat value, and the variance of the superheat value, i.e. to expected
variations of the superheat value, and thereby expected deviations from the reference
superheat value.
[0068] Accordingly, it is accepted that the vapour compression system 1 is operated with
high variance of the superheat value, and thereby in an unstable region, as long as
it is ensured that the variance of the superheat will not cause the superheat to decrease
below the minimum acceptable superheat value, to an extent which introduces a risk
of liquid refrigerant reaching the compressor unit 2. This allows the vapour compression
system 1 to be operated at a lower superheat value than prior art control methods,
and thereby in a more energy efficient manner.
[0069] Fig. 2 is a diagrammatic view of a vapour compression system 1 being controlled in
accordance with a method according to an alternative embodiment of the invention.
The vapour compression system 1 of Fig. 2 is very similar to the vapour compression
system 1 of Fig. 1, and it will therefore not be described in detail here.
[0070] The vapour compression system 1 of Fig. 2 comprises a number of expansion devices
4, two of which are shown, each being arranged to supply refrigerant to a separate
evaporator 5. Each of the evaporators 5 is arranged in thermal contact with a separate
refrigerated volume. Thus, each of the expansion devices 4 is controlled in order
to allow or prevent a flow of refrigerant to the respective evaporators 5, in order
to obtain a respective reference superheat value for refrigerant leaving the respective
evaporators 5. The reference superheat value is calculated essentially in the manner
described above with reference to Fig. 1.
[0071] Fig. 3 is a block diagram illustrating a control loop of a method according to an
embodiment of the invention. In the control loop of Fig. 3, an opening degree of an
expansion device 4 supplying refrigerant to an evaporator 5 of a vapour compression
system is controlled.
[0072] The temperature, T
out, of refrigerant leaving the evaporator 5 is measured and supplied to subtraction
unit 7. Furthermore, the evaporating temperature, T
e, of the evaporator 5 is obtained and supplied to the subtraction unit 7. The evaporating
temperature, T
e, may be measured directly, or it may be derived from measurements of one or more
other measured parameters, e.g. the pressure of refrigerant leaving the evaporator
5, the pressure of refrigerant entering the evaporator 5 and/or the temperature of
refrigerant entering the evaporator 5.
[0073] In the subtraction unit 7, the evaporating temperature, T
e, is subtracted from the refrigerant temperature, T
out, thereby obtaining the superheat of refrigerant leaving the evaporator 5.
[0074] At calculation block 8, a variance of the superheat value, in the form of a standard
deviation of the superheat value, is calculated. The variance is multiplied by an
impact factor at block 9, thereby obtaining a quantity being representative for the
variance of the superheat value, before being supplied to a summation unit 10. In
the embodiment of Fig. 3, the impact factor is 2.
[0075] Furthermore, a minimum acceptable superheat value (superheat close) is supplied to
the summation unit 10. The minimum acceptable superheat value is a superheat value
below which a risk of liquid refrigerant reaching the compressor unit is introduced,
and it is therefore undesirable that the superheat of refrigerant leaving the evaporator
5 decreases below the minimum acceptable superheat value.
[0076] In the summation unit 10, the quantity being representative for the variance of the
superheat value is added to the minimum acceptable superheat value. The resulting
value represents a superheat level which is above the minimum superheat value by an
amount corresponding to the calculated quantity, i.e. to the variance of the superheat
value multiplied by the impact factor.
[0077] The value is supplied to a low pass filter 11, thereby obtaining a reference superheat
value which is supplied to a subtraction unit 12, which also receives the superheat
value. In the subtraction unit 12, the superheat value is subtracted from the reference
superheat value, thereby obtaining an error signal, which is supplied to a PI controller
13. The PI controller 13 then controls the opening degree of the expansion device
4, based on the error signal, and in accordance with a standard PI control strategy.
[0078] Fig. 4 is a graph illustrating stable and unstable superheat regions for a vapour
compression system. More particularly, the graph of Fig. 4 illustrates superheat of
refrigerant leaving the evaporator of a vapour compression system as a function of
evaporator capacity.
[0079] The superheat value which represents that all of the liquid refrigerant in the evaporator
has been evaporated exactly at the outlet of the evaporator constitutes a boundary
between a stable control region and an unstable control region, in the sense that
superheat values above this boundary results in a stable superheat signal, and superheat
values below the boundary results in an unstable superheat signal. The boundary superheat
value may be referred to as a 'minimum stable superheat' (MSS). Thus, the minimum
stable superheat represents the best trade-off between optimal efficiency and robust
control.
[0080] The minimum stable superheat changes as a function of design of the vapour compression
system, operating conditions and loads on the evaporator, as illustrated by the curve
marked 'MSS'. Since the evaporator load changes constantly during operation of the
vapour compression system, e.g. due to frosting, changes in temperature in the refrigerated
volume, evaporation pressure, etc., operation dynamics of the evaporator may change
from stable to unstable, or vice versa, if the expansion device is simply operated
on the basis of a fixed reference superheat value.
[0081] In one prior art method, it is attempted to calculate the reference superheat value
in such a manner that it is as close to the 'MSS' curve as possible. However, as it
can be seen from the graph of Fig. 4, for some evaporator loads, this results in a
superheat value which is well above a critically low superheat value, and thereby
resulting in an operation of the vapour compression system which is less energy efficient
than required in order to avoid that liquid refrigerant reaches the compressor unit.
[0082] Fig. 5 is a graph illustrating reference superheat values as a function of evaporator
capacity for a prior art control method and for a method according to an embodiment
of the invention. Fig. 5 is essentially a detail of the graph of Fig. 4, illustrating
the 'MSS' curve.
[0083] The prior art control method is illustrated by dotted area 14. A reference superheat
value is selected which follows the 'MSS' curve as closely as possible, thereby ensuring
that the unstable control region is avoided. Thereby the variance of the superheat
signal is relatively low, and the actual superheat value deviates only in a limited
manner from the reference superheat value, illustrated by the relatively narrow area
14, following the 'MSS' curve.
[0084] The control method according to an embodiment of the invention is illustrated by
dashed area 15. In the control method according to the invention, the reference superheat
value is calculated in the manner described above, e.g. with reference to Fig. 1,
i.e. based on the variance of the superheat value and a minimum acceptable superheat
value. This has the consequence that it is accepted that the vapour compression system
is operated in the unstable control region, as long as it is ensured that the superheat
value remains safely above a critically low superheat value. As a result, the superheat
value is allowed to deviate significantly more from the reference superheat value
than is the case in the prior art control method, as illustrated by the broader area
15. However, it can also be seen that the superheat value is not allowed to approach
the critically low superheat value, indicated as 3 K.
[0085] Accordingly, the vapour compression system can be operated based on a lower reference
superheat value, and thereby in a more energy efficient manner, without risking that
liquid refrigerant reaches the compressor unit.
1. A method for controlling a vapour compression system (1), the vapour compression system
(1) comprising a compressor unit (2), a heat rejecting heat exchanger (3), an expansion
device (4) and an evaporator (5) arranged in a refrigerant path, the method comprising
the steps of:
- deriving a superheat value of refrigerant leaving the evaporator (5),
- calculating a quantity being representative for a variance of the derived superheat
value,
- calculating a reference superheat value, based on the calculated quantity and on
a minimum acceptable superheat value, and
- operating the expansion device (4) in accordance with the calculated reference superheat
value, and in order to obtain a superheat of refrigerant leaving the evaporator (5)
which is equal to the reference superheat value.
2. A method according to claim 1, wherein the step of calculating a quantity being representative
for a variance of the derived superheat value comprises calculating the variance of
the derived superheat value.
3. A method according to claim 1 or 2, wherein the step of calculating a reference superheat
value comprises adding the minimum acceptable superheat value and the calculated quantity.
4. A method according to any of the preceding claims, wherein the step of calculating
a quantity being representative for a reference superheat value further comprises
applying a low pass filter (11).
5. A method according to any of the preceding claims, wherein the step of calculating
a quantity being representative for a variance of the derived superheat value comprises
deriving a standard deviation of the derived superheat value and multiplying the standard
deviation by an impact factor.
6. A method according to any of the preceding claims, wherein the step of operating the
expansion device (4) is performed by means of a proportional integral (PI) controller
(13).
7. A method according to any of the preceding claims, wherein the step of deriving a
superheat value of refrigerant leaving the evaporator (5) comprises measuring a temperature
of refrigerant leaving the evaporator (5) and an evaporating temperature of the evaporator
(5), and calculating the superheat value from the measured temperatures.
8. A method according to any of claims 1-6, wherein the step of deriving a superheat
value of refrigerant leaving the evaporator (5) comprises measuring a temperature
of refrigerant leaving the evaporator (5) and a pressure of refrigerant leaving or
entering the evaporator (5), and calculating the superheat value from the measured
temperature and pressure.
9. A method according to any of claims 1-6, wherein the step of deriving a superheat
value of refrigerant leaving the evaporator (5) comprises measuring a temperature
of refrigerant leaving the evaporator (5) and a temperature of refrigerant entering
the evaporator (5), and calculating the superheat value from the measured temperatures.
10. A method according to any of the preceding claims, further comprising the steps of:
- opening the expansion device (4) and subsequently operating the expansion device
(4) in accordance with a previously stored reference superheat value,
- monitoring the superheat value of refrigerant leaving the evaporator (5), and
- in the case that the superheat value of refrigerant leaving the evaporator (5) decreases
below a predefined threshold value, performing the steps of calculating a quantity
being representative for a variance of the derived superheat value, calculating a
reference superheat value, based on the calculated quantity and on a minimum acceptable
superheat value, and operating the expansion device (4) in accordance with the calculated
reference superheat value, and in order to obtain a superheat of refrigerant leaving
the evaporator (5) which is equal to the reference superheat value.
11. A method according to claim 10, wherein the predefined threshold value is a predefined
offset above the previously stored reference superheat value.