Heat Transfer System Controller
The invention relates to a programmable controller and to a method of use for control of a space chilling or heating system.
Space chilling systems typically use a heat pump comprising a closed system containing refrigerant and having an evaporator, a condenser an expansion valve and a fluid circulation pump. When used in chilling systems the evaporator usually takes the form of a heat exchanger located either in the space to be cooled or within a duct through which air is blown into the space to be cooled, this air being chilled by said evaporator heat exchanger.
The operation of such refrigeration systems typically have a primary control system that provide safety interlocks that are either electrical or mechanical or electro-mechanical in operation. In addition, secondary control systems typically include a controller, and thermostats located within the space to be chilled.
The location installation of the thermostat or thermostats within the controlled area does not follow absolute rules and each thermostat location installation is subject to constraints imposed by (but not limited to); internal architecture, area specific furniture, point of delivery of the air, and the location and number of persons within the controlled area.
By the operation of the thermostat or thermostats within the controlled area the heating or chilling process is normally started and stopped, subject to the safety interlocks, and the amount of heat or cold contained within any specific quantity of air delivered to the controlled area is altered once the air has passed over at least one heat exchanger; typically located within an air duct with an outlet in the controlled area. The thermostats operational starting and stopping switching functions relative to set point temperature affect the values of the achieved temperatures within the controlled area. Typically, for cooling the thermostat will operate the chiller when the detected space temperature is slightly above the set point and continue cooling until the detected temperature is a pre-determined value below the set point. This predetermined value varies appreciably between different manufacturers of thermostats.
The time period required for the heating/chilling system to reach the desired set point value from initial start up value is commonly referred to as the process lag, the value of which is generally a function of:- (a) the volume of air delivered to the controlled area relative to the volume of the controlled area; (b) the physical distance of, constructional material of, thermal insulation applied to, the duct carrying the air to the controlled area: (c) the number of heat sources within the controlled area at any one time in the operation of the heat transfer process; (d) the amount of re-circulated air by volume of the controlled area when compared to any volume of fresh air that is introduced and like volume of controlled area extract air removed; (e) the rated heat transfer maximum capacity - known as duty - of the heat transfer process system compared to the amount of heat or cold required to be transferred to or from the controlled area; and (f) the inability of the heat transfer unit to reduce its duty when the applied load is below the duty achieved at the time of operation of the heat transfer unit.
The effect of the process lag in addition to thermostat location and operation is commonly to cause the air temperatures in some areas of the controlled area to be locally over cooled or locally under heated, depending on the heat transfer process in action. This lag typically results in temperature overshoot (for heating systems) and undershoot (for cooling systems) by comparison to set point. The difference in mean achieved temperature local to the thermostat or devices compared to the set point value is commonly referred to as the set point offset. This temperature disparity commonly leads to controlled area occupant discomfort, a consequence of the continued operation of the heat transfer unit during the set point overshoot/undershoot is that the operational energy consumption of the heating/chilling device is greater than it need be. In part, this undesirable situation results from the practical need to oversize (in respect of average thermal duty) the heater or chiller so that it can meet peak design demand.
One objective of the present invention is to provide apparatus and a control method that allows the overall energy consumption of the heating/chilling unit to be reduced. Another objective is to provide apparatus and a control method that will result in improved user comfort as a result of better temperature control within the space being heated or chilled.
In one aspect the invention comprises a method of controlling a space forced convection cooling or heating system wherein the system comprises: means of heating or chilling; a local first temperature sensor located downstream and close to said means of heating or chilling;
wherein a programmable controller in cooperation with said first temperature sensor measures the temperature of the air (θ) downstream and close to said means of heating or chilling; wherein the method comprises the following steps: (i) start said means of heating or chilling; periodically record the temperature θ and use processing means within the programmable controller to periodically estimate the rate of change of θ with time (dθ/dt); (ii) store a first user preset value within the programmable controller and when said rate of change of temperature with time (dθ/dt) or absolute value of (dθ/dt) is equal to or less than said first user preset value (β{) interrupt said means of heating or chilling.
Following start or restart of said means of heating or chilling means a time delay step may be introduced prior to starting steps (i) and (ii). Following initial power-up of the programmable controller a user preset time delay or a predetermined time delay the length of which is derived as a programmable controller function may be introduced prior to first starting said means of chilling or heating. This advantageously reduces power surge following start up (restart) of multiple systems following a general power supply failure.
In another aspect the invention comprises a method of controlling a space forced convection cooling or heating system wherein the system comprises: means of heating or chilling; a local first temperature sensor located downstream and close to said means of heating or chilling; wherein a programmable controller in cooperation with said first temperature sensor measures the temperature of the air (θ) downstream and close to said means of heating or chilling; wherein the method comprises the following steps: (i) following power-up and system internal health checks for programmable controller; measure initial temperature of the air (θ) downstream and close to said means of heating or chilling; calculate θi according to the formula: [fn(θ)*(D-E)]+E ; wherein D and E are user preset values and fn(θ) is a value calculated from other user preset values and the value of θ; (ii) start means of heating or chilling and for chilling when θ is less than θi proceed to step (iii) or; for heating when θ is greater than θ] proceed to step (iii); (iii) periodically record the temperature θ and use processing means within the programmable controller to periodically estimate the rate of change of θ with time (dθ/dt); store a first user preset value (β\ ) within the programmable controller and when said rate of change of temperature with time (dθ/dt) or absolute value of (dθ/dt) is equal to or less than said first user preset value (β\) interrupt said means of heating or chilling.
Delaying measurement of rate of change of temperature (dθ/dt) (and testing against β\ ) until the θi test is satisfied avoids possible premature interruption of heating/chilling owing to thermal lag; for example, lag following start up of the means of chilling (refrigerator compressor).
In another aspect the invention comprises a method of controlling a space forced convection cooling or heating system wherein the system comprises: means of heating or chilling; a local first temperature sensor located downstream and close to said means of heating or chilling; wherein a programmable controller in cooperation with said first temperature sensor measures the temperature of the air (θ) downstream and close to said means of heating or chilling; wherein the method comprises the following steps: (i) following power-up and system internal health checks for programmable controller; measure initial temperature of the air (θ) downstream and close to said means of heating or chilling; calculate θi according to the formula: G
1= [fn(θ)* (D-E)]+E ; wherein D and E are user preset values and fn(θ) is a value calculated from other user preset values; (ii) start means of heating or chilling; set time counter Ti to zero; and for chilling when θ is less than θi proceed to step (iii) or; for heating when θ is greater than θi proceed to step (iii); (iii) periodically record the temperature θ and use processing means within the programmable controller to periodically estimate the rate of change of θ with time (dθ/dt); store a first user preset value
within the programmable controller and when said rate of change of temperature with time (dθ/dt) or absolute value of (dθ/dt) is equal to or less than said first user preset value
and Ti is greater than a user input value T
MN interrupt said means of heating or chilling. Introducing time delay TMN is advantageous particularly for applications utilising a refrigerant compressor as it helps avoid short cycling of the chiller system which can lead to mechanical damage of the compressor.
The value of fn(θ) may be calculated by the formula: fn(θ)= (Θ-C)/(B-C) or fn(θ)= Θ/(B-C); where B and C are user preset values.
In another aspect the invention comprises a method of controlling a space forced convection cooling or heating system wherein the system comprises: means of heating or chilling; a local first temperature sensor located downstream and close to said means of heating or chilling; wherein a programmable controller in cooperation with said first temperature sensor measures the temperature of the air (θ) downstream and close to said means of heating or chilling;
wherein the method comprises the following steps: (i) Start said means of heating or chilling; measure temperature of the air (θ) downstream and close to said means of heating or chilling; for chilling when θ is less than a user preset value θj; proceed to step (ii) or; for heating when θ is greater than θi proceed to step (ii); (ii) periodically record the temperature θ and use processing means within the programmable controller to periodically estimate the rate of change of θ with time (dθ/dt); store a first user preset value (β\) within the programmable controller and when said rate of change of temperature with time (dθ/dt) or absolute value of (dθ/dt) is equal to or less than said first user preset value (β\) interrupt said means of heating or chilling
In another aspect the invention comprises a method of controlling a space forced convection cooling or heating system wherein the system comprises: means of heating or chilling; a local first temperature sensor located downstream and close to said means of heating or chilling; wherein a programmable controller in cooperation with said first temperature sensor measures the temperature of the air (θ) downstream and close to said means of heating or chilling; wherein the method comprises the following steps: (i) Start said means of heating or chilling (16); set time counter Ti to zero; measure temperature of the air (θ) downstream and close to said means of heating or chilling; for chilling when θ is less than a user preset value θi; proceed to step (ii) or; for heating when θ is greater than θi proceed to step (ii); (ii) periodically record the temperature θ and use processing means within the programmable controller to periodically estimate the rate of change of θ with time (dθ/dt); store a First user preset value (β\) within the programmable controller and when said rate of change of temperature with time (dθ/dt) or absolute value of (dθ/dt) is equal to or less than said first user preset value (βι) and Ti is greater than TMN where TMN is a user input value, interrupt said means of heating or chilling.
The method of the invention may also comprise the following step:(iv) continue to periodically measure the temperature (θ) of the air leaving the vicinity of the heater or chiller and when this value (for heating) is less than a preset/predetermined value (θ2) stored in the programmable controller or (for chilling) or is greater than said preset/predetermined value (θ2) stored in the programmable controller restart said heating or chilling. Testing θ against θ2 advantageously helps the system to restart the heater/chiller at the optimum temperature (θ) and thereby contributes to both user comfort and system efficiency.
Preferably; for cooling θ2 is predetermined as the lower of: (F+G), H or (A-J); and for heating θ2 is predetermined as the higher of: (F+G), H or (A+ J); where G, H and J; where G, H and J are user input values, F is the value of θ at the time that the means of heating or chilling was last interrupted and A is the value of θ at the time θ| was last calculated. Testing θ against a calculated θ2 value advantageously assists the system to restart the heater/chiller at the maximum practical load whilst still achieving user comfort.
When a refrigerant compressor system is utilised, an advantage of maximum practical load operation, with the applied load closer to the system maximum duty, is that it maintains the achieved Coefficient Of Performance of the system closer to the system rated value for longer, whilst the instantaneous COP is also raised due to the raised refrigerant pressure as a consequence of the elevated operational temperatures.
The method of the invention may also comprise the following step:(v) continue to periodically record the temperature θ and use processing means within the programmable controller to periodically estimate the rate of change of θ with time (dθ/dt); store a user preset value (βi) within the programmable controller and when said rate of change of temperature with time (dθ/dt) or absolute value of (dθ/dt) is equal to or less than user preset value (/?2) stored in the programmable controller restart said heating or chilling. Testing dθ/dt against /?2 advantageously helps the system to restart the heater/chiller at the optimum time and thereby contributes to both user comfort and system efficiency.
Preferably, the heating or chilling is only restarted when T2 is greater than TMF, where TMF is a user preset value; and T2 is a time counter set at zero when means of interrupting chilling or heating was last activated. Introducing time delay TMF is advantageous particularly for chilling applications utilising a refrigerant compressor as it helps avoid short cycling of the chiller system which can lead to mechanical damage of the compressor.
Optionally, at the time of calculating θi a counter (§) is set to zero and then incremented by 1 each time chilling or heating means is interrupted wherein if § is greater than a user input integer value §1 the program returns to the step where θi is calculated but otherwise returns to the following step where the chilling or heating means is initiated.
The method of the invention may be used to provide both heating and chilling comprising a second temperature sensor and wherein the first temperature sensor has a temperature range appropriate for use with a chiller and the second sensor has a temperature range appropriate for use with a heater.
User preset values may be set or adjusted remotely using communication means. The communication means may include a internet link, infrared link or wireless link.
At least one of the following: current sensor value (θ); stored values of θ over a given period; output "on" time, performance error reporting; or, connected device malfunction data, may be actively or passively communicated through wires or wireless to an external device.
In another aspect the invention comprises a method of controlling a space forced convection (air flow) cooling or heating system comprising starting a means of heating or chilling; periodically measuring the temperature of the air (θ) downstream and close to said means of heating or chilling and when θ is less than a predetermined value θi periodically estimating the rate of change of θ with time (dθ/dt) and when the absolute value of said rate of change of temperature with time (dθ/dt) is equal to or less than a user preset value (β\) interrupting the means of heating or chilling.
A space forced convection cooling or heating system using the method of the invention may include a chilling or heating means located within a duct or located within a vented enclosure within the space to be cooled or heated. The chilling or heating means may comprise one or more heat exchangers through which cooling or heating fluid flow.
In another aspect the invention comprises a programmable controller: for use with a space forced convection cooling or heating system having means of heating or chilling and a local first temperature sensor located downstream and close to said means of heating or chilling; that uses any of the above method steps of the invention.
DESCRIPTION of INVENTION
Preferred embodiments of the invention will now be described by reference to the following diagrammatic figures in which:
Figure 1 shows the main components of a chilling system having a control system according to the present invention;
Figure 2 shows the main components of a chilling system according to a preferred embodiment of the invention;
Figure 3 shows a basic logic flow diagram for a method (chilling mode) according to the invention;
Figure 4 shows a logic flow diagram (chilling mode) for a preferred embodiment of the invention; and
Figure 5 shows how measured temperatures may vary with time for the chilling system of Figure 2.
With reference to Figure 1 a typical heating/chilling system 10, for use in a space 20, with a control system according to the present invention comprises: a heat exchanger 16 at least partly located within a casing 12 through which air is drawn by a fan or the like 14 (powered by line 34) and passed over heat exchanger 16. Heat exchanger 16 typically represents the evaporator of a conventional refrigeration system or is merely an exchanger provided with a cold fluid from an external source; for example chilled water. Alternatively, when the invention is applied to a heating system it may be the condenser of a closed circuit heat pump or hot water from a boiler or external water heater. Means 22 are provided to interrupt the supply of hot or cold fluid to exchanger 16; for example as determined by a standard controller 24 that typically measures the temperature at one or more points in the space 20 under temperature control, using one or more temperature sensors 26. Thus, when used conventionally controller 24 and temperature sensor 26, which typically include a thermostat will start or stop supply of heat or cold to exchanger 16 by means of device 22 which typically comprises a control valve or means of interrupting the action of a refrigeration cycle compressor, boiler etc..
The control apparatus of the present invention comprises a temperature probe 30 located downstream (with respect to airflow) of exchanger 16. The invention further comprises a programmable controller 28 that provides an on/off signal to device 22 in part by measuring the temperature θ of air flowing past temperature probe 30 combined with an advanced programme logic (see below). When an off signal is sent to device 22 via line 32 the supply of heat/cold to exchanger 16 is interrupted irrespective of the state of standard controller 24, but the air fan 14 is not interrupted so that air continues to flow over exchanger 16 into space 20.
Figure 2 shows a preferred embodiment of the invention as used to provide space heating/chilling. Chilling system 110 for use in a space 120 has a control system according to the present invention and comprises: a duct 112 through which air is drawn by a fan or the like 114 and passed over heat exchanger 116. Heat exchanger 116 typically represents one or more evaporator(s) of a conventional refrigeration system or is merely an exchanger provided with a cold fluid from an external source; for example chilled water. Alternatively, when the invention is applied to a heating system it may be the condenser of a closed circuit heat pump or hot water from a boiler or external water heater. Means 122 are provided to interrupt the supply of hot or cold fluid to exchanger 116 as determined for example by a known controller 124 that typically measures the temperature at one or more points in the space 120 under temperature control, using one or more temperature sensors 126. Thus, when used conventionally controller 124 and temperature sensor 126, which typically include a thermostat will start or stop supply of heat or cold to exchanger 116 by means of device 122 which typically comprises a control valve or means of interrupting the action of a refrigeration cycle compressor, boiler etc..
The control apparatus of the present invention comprises a temperature probe 130 located just downstream of exchanger 116 and at a point prior to the inlet 118 of heated or chilled air to space 120. The invention further comprises a programmable controller 128 that provides an on/off signal via line 132 to conventional device 122 in part by measuring the temperature θ of air flowing past temperature probe 130 combined with an advanced programme logic (see below). When an off signal is sent to device 122 the supply of heat/cold to exchanger 1 16 is interrupted but the air fan 114 is not interrupted so that air continues to flow over exchanger 116 into space 120. While this air may be entirely fresh air; it normally comprises a mixture of
recycled air and fresh air. Thus, typically air is extracted from some location within space 120 (not shown) to provide such recycled air. This air will normally flow through an air duct system and typically the energy required to provide this flow will be provided by fan 114 or a further fan or the like (not shown).
As mentioned above controller 128 includes a programmable microprocessor or the like upon which is loaded a control program and into which various user determined input values are entered.
Figure 3; shows a basic logic flow diagram for a control program used in the method (chilling mode) of the invention and run on a programmable controller 28, 128. Naturally, the controller 28 may comprise a conventional thermostat combined with a separate programmable controller (not shown). Alternatively the programmable controller may be provided as part of a modified controller 24 (not shown). In either case the programmable controller includes a processor unit capable of accepting computer program code or the like.
When a system using the present invention is switched on power is provided to thermostat 26, programmable controller 28 and in addition fan 14 is activated, and providing thermostat 26 is calling for cold/heat this is supplied by heat exchanger 16 activated via means 22. At this moment elapsed time counter Ti is set to zero [301] and then incremented according to lapsed time thereafter. For example, 5 minutes after the programmable controller signal to start flow of refrigerant or heating fluid through heat exchanger 16 the value of Ti will be 5. For a chilling system; controller 24 will typically energise the compressor of a refrigeration circuit, resulting in cool fluid entering exchanger 16; the temperature of the cool fluid may fall from the initial value over a period of time of system operation.
Temperature sensor 30 sends a signal to programmable controller 28 which is converted by known electronic means to a digital signal that represents the temperature θ of air downstream of exchanger 16 in 0C or 0F. This allows the temperature θ of air downstream of exchanger 16 to be periodically measured and recorded, and thus the change in θ with time (dθ/dt) also to be estimated. If θ is less than a preset or predetermined value θi [302] and the absolute value of
dθ/dt falls below a user input value of βi [303] then when Ti is greater than TMN [304]; (where βi and TMN are user input values); then controller sends 28 an off signal via line 32 to conventional interruption device 22 that results in the supply of further cold or heat to exchanger 16 being interrupted by the action of device 22 [305]. At this moment elapsed time counter T2 is set to zero and then incremented according to lapsed time thereafter. For example; 8 minutes after the interruption of flow of refrigerant or heating fluid through heat exchanger 16 the value of T2 will be 8. The interruption of the supply of further cold or heat to exchanger 16 continues until θ reaches a value greater than θ2 [306]; where θ2 is a user input value. When T2 is greater than TMF [307]; where TMF is a user input value, means 22 is activated so that interruption of fluid flow to exchanger 16 ceases. This is achieved by returning to the earlier point [301] (see Figure 3) where Tj is reset as zero and the above cycle is then repeated until either conventional controller 24 and thermostat 26 has reached the set point or the system has been powered-down.
Figure 4; shows a more detailed logic flow diagram for a program used in the method (chilling mode) of the invention and run on a programmable controller 28, 128. Naturally, the controller 128 may comprise a conventional thermostat combined with a separate programmable controller (not shown). Alternatively the programmable controller may be provided as part of a modified controller 124 (not shown). In either case the programmable controller includes a processor unit capable of accepting computer program code or the like.
For a chilling system; when the overall system is switched on, fan 114 is activated and controller 124 will initially energise the compressor of a refrigeration circuit (not shown) providing the temperature measured by thermostat 126 is greater than the set point temperature of controller 124. This results in cool fluid entering exchanger 1 16; the temperature of the cool fluid may fall from the initial value over a period of time of system operation. When the overall system is switched on power is also provided to programmable controller 128. Temperature sensor 130 sends a signal to programmable controller 128 which is converted by known electronic means to a digital signal that represents the temperature θ of air downstream of exchanger 116 in 0C (or 0F). Controller 128 then instigates several internal health self-checks [401] before it sets an integer counter (§) at zero; measures the temperature θ of the air downstream of exchanger 116 and sets calculation variable A= θ [402]. The program logic then
calculates a value for θi [402] where Q1 = [A/(B-C)* (D-E)] +E and B, C, D and E are user input constant values (see Table 1); then, providing thermostat 126 is calling for cold/heat this is supplied by controller 128 activating (opening) interruption device 122 so that fluid flows through exchanger 116. At this moment elapsed time counter Ti is set to zero [403] and then incremented according to lapsed time thereafter. For example, 5 minutes after the programmable controller signal to start of flow of refrigerant or heating fluid through heat exchanger 116 the value of Tj will be 5.
Controller 128 continues to periodically measure the temperature θ of air downstream of exchanger 116 in 0C (or 0F etc.), and at the point in time that θ is less than θi [404] the program logic starts to estimate the rate of change in θ with time (dθ/dt). If the absolute value of dθ/dt falls below a user input value of βi [405] and if Ti is greater than TMN [406]; where βi and TMN are user input values (see Table 1); then controller 128 sends an off signal via line 132 to interruption device 122 that results in the supply of further cold or heat to exchanger 116 being interrupted [407] by the action of device 122. At this moment elapsed time counter T2 and T3 are set to zero and then incremented according to lapsed time thereafter. For example; 3 minutes after the interruption of flow of refrigerant or heating fluid through heat exchanger 116 the value of T2 will be 3. At this time, the program logic measures the temperature θ of the air downstream of exchanger 116 and sets calculation variable F= θ; increments the value of counter § by one (§=§+1) and also calculates a value for θ2 where O2 = the lower of (F+G), H or (A-J) where G, H and J are user input values (see Table 1). During the interruption of the supply of further cold or heat to exchanger 1 16 θ continues to be periodically measured and when either; (a) θ reaches a value greater than θ2 [408] or (b), when T3 is greater than TDE [409] (a user input value - see Table 1) and the estimated absolute value of the rate of change of θ with time (dθ/dt) is less than B2 [410] where B2 is a user input value (see Table 1), when T2 is greater than TMF [411] the program logic performs up to two further checks [412-413] before returning to an earlier point in the logic [403] (see Figure 4). These two further checks (in time order) are; is § greater than §i [412] where §i is a user input value (see Table 1) and is T4 greater than Tw [413] where Tw is a user input value (see Table 1) and T4 is a time counter set at zero following step [412]. When the answer to all of these tests is yes then the above cycle is repeated (by going to the A=θ step - see Figure 4) [402] until either conventional controller 124 and thermostat 126 has reached the set point or, the system has been powered-down. When
answer to the second check (is § GT §0 [412] is no, then the next step is to return to the "start 22 via line 32" point [403] (see Figure 4).
Figure 5 illustrates (see lower pair of graphs) how the temperature θ of air downstream of exchanger 116 typically varies in a cyclic manner (over a period of 60) min when the system of the invention is not operating (black line) and when the system of the invention is operating (lighter line). Initially following start-up θ rapidly decreases; the rate of decrease of θ then steadily deceases until (in the case where the invention is not in use) it levels off to a steady value after (in this illustration) about 18 min. In contrast, when the invention is in operation supply of chilling via exchanger 116 is interrupted much earlier (after about 9 min) and subsequently the system cycles between chiller activated mode and chiller interrupted mode at a higher frequency. This characteristic of the invention results in the variation of the air temperature immediately upstream of the exchanger 116 (which in this case is indicative of the controlled room temperature) being advantageously much less when the invention is in use (see Figure 5 - upper lighter line graph) than when not in use (see Figure 5 - upper black line graph) and the temperature immediately upstream of the exchanger 116 is also much closer to the desired space set point temperature. This provides more comfortable environment within the space 120 being chilled and also reduces chiller energy consumption, in part, as a result of not over-chilling the controlled space 120.
The rate of change of θ with time can in practice only be estimated. Individual measurements of θ are subject to a variety of errors that in combination mean that a good estimate of dθ/dt cannot in general be obtained by calculating the difference between successive values of θ measured over a short time period of say 0.01 min. Thus, in a preferred embodiment of the invention multiple measurements of θ are made during a first time period and an (first) average value of θ for that time period calculated. Multiple measurements are also made over a successive (second) time period of equal length to the first time period and again an (second) average value of θ calculated. The value of dθ/dt is then estimated as being: (first average value θ- second average value θ)/length of time period.
Within the embodiment of the invention consideration can be given to the format of the physical embodiment of the switching device used for the interrupting of the means of chilling
or heating, by maintaining continuity of line 132 to means 22 when power to the invention has been removed thus ensuring that controller 24 can still operate correctly to means 22 while the invention is out of use.
The invention can have the ability to provide any combination of the following; current sensor value (θ), stored values for a given period for the sensor value (for trend logging), output "on" time; performance error reporting; connected device malfunction data, to be actively or passively communicated through wires or wireless to an external device. This advantageously allows analysis of past performance; for example, by a service engineer.
Table 1 - Typical User Input Values
Table 1- Notes
(i) Supply air maximum process system non-operational temperature - this is an application and geography specific value and is the maximum value for controlled area supply air with the heat transfer process not operating that the user wishes to use with this application for the calculation purposes (i.e. for direct expansion application in Europe use value of 24).
(ii) Supply air minimum process system non-operational temperature - this is an application and geography specific value and is the minimum value for controlled area supply air with the heat transfer process not operating that the user wishes to use with this application for the calculation purposes (i.e. for direct expansion application in Europe use value of 18).
(iii) Supply air maximum process system operational temperature - this is a set application and geography specific value and is the maximum value for controlled area supply air with the heat transfer process operating that the user wishes to use with this application for the calculation purposes (i.e. for direct expansion application in Europe use value of 17).
(iv) Supply air minimum process system operational temperature - this is a set application and geographic specific value and is the minimum value for controlled area supply air with the heat transfer process operating that the user wishes to use with this application for the calculation purposes (i.e. for direct expansion application in Europe use value of 8).