WO2010072803A1 - Simulationsgestütztes verfahren zur steuerung bzw. regelung von druckluftstationen - Google Patents
Simulationsgestütztes verfahren zur steuerung bzw. regelung von druckluftstationen Download PDFInfo
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- WO2010072803A1 WO2010072803A1 PCT/EP2009/067838 EP2009067838W WO2010072803A1 WO 2010072803 A1 WO2010072803 A1 WO 2010072803A1 EP 2009067838 W EP2009067838 W EP 2009067838W WO 2010072803 A1 WO2010072803 A1 WO 2010072803A1
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- Prior art keywords
- compressed air
- air station
- simulation
- compressors
- pressure
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Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C28/00—Control of, monitoring of, or safety arrangements for, pumps or pumping installations specially adapted for elastic fluids
- F04C28/02—Control of, monitoring of, or safety arrangements for, pumps or pumping installations specially adapted for elastic fluids specially adapted for several pumps connected in series or in parallel
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04B—POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS
- F04B49/00—Control, e.g. of pump delivery, or pump pressure of, or safety measures for, machines, pumps, or pumping installations, not otherwise provided for, or of interest apart from, groups F04B1/00 - F04B47/00
- F04B49/06—Control using electricity
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04B—POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS
- F04B49/00—Control, e.g. of pump delivery, or pump pressure of, or safety measures for, machines, pumps, or pumping installations, not otherwise provided for, or of interest apart from, groups F04B1/00 - F04B47/00
- F04B49/06—Control using electricity
- F04B49/065—Control using electricity and making use of computers
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04C—ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
- F04C2270/00—Control; Monitoring or safety arrangements
- F04C2270/56—Number of pump/machine units in operation
Definitions
- the invention relates to a method for controlling or regulating a compressed air station comprising at least a plurality of interconnected compressors, in particular different technical specifications, and optionally further devices of the compressed air technology, which in particular in control cycles both switching strategies via an electronic system control to influence a quantity of for one or more users of the compressed air station can cause available pressurized fluid in the compressed air station, as well as adjust the available for one or more users of compressed air station amount of pressurized fluid to future operating conditions of the compressed air station adaptive to the removal amount of pressurized fluid from the compressed air station.
- the present invention relates to a method for controlling or regulating a compressed air station, which comprises at least a plurality of interconnected compressors, in particular different technical specifications, and optionally further devices of the compressed air technology, wherein the method which is implemented in an electronic control of a compressed air station , Information on essential state variables of the compressed air station processed as input information, and outputs control commands for controlling at least some compressors and optionally other components of the compressed air station as an output, according to the preamble of claim 34.
- the present invention relates to a system control of a compressed air station.
- compressed air stations have become established in many industrial as well as private environments.
- the provision of larger amounts of pressurized fluid is indispensable, for example, in industrial manufacturing facilities not only for operating hydraulic devices, but also for providing pressurized fluid to chemical reaction areas, as well as physical manufacturing environments for use thereof.
- Compressed air stations which typically comprise at least a plurality of compressors, pressurized fluid containers, and the corresponding actuators and actuators often require well-being.
- thought and usually complex control which is able to provide a possibly larger number of users at different customer stations of the compressed air station at all times desired Druckfluid id available.
- valves are opened or closed, whereby the accumulation or depletion of pressurized fluid in predetermined areas of the compressed air station takes place, and the supply of the user with sufficient pressurized fluid can be ensured.
- Further possible switching operations relate, for example, to the switching on or off of individual compressors or compressor groups, or else to a continuous regulation of individual actuators or actuating means in contrast to discrete opening or closing.
- the system control of the compressed air station requires information about the state of the compressed air station.
- Such information can be predetermined fixed system parameters by the compressed air station, or also measurable state variables, such as pressure, or discrete or informational state variables, such as the operating state of a compressor (standstill, idle, load), which draw conclusions about the state of the compressed air station allow at a given time.
- the compliance with the operation of the compressed air station are desirable or sometimes indispensable. These include, for example, specifications regarding compliance with maximum permissible maximum pressures in the pressurized line as well as pressure tank network of the compressed air station, as well as specifications on a minimum pressure to be maintained at the connection stations for users.
- a number of control methods are known from the prior art, which are used for compressed air station control.
- a relatively simple control method uses a cascade circuit which assigns a predetermined pressure band to each compressor. When falling below the lower pressure band limit, a compressor is switched on. If the upper pressure band limit is exceeded, a compressor is switched off accordingly. Due to the overlapping of different pressure bands of the individual compressors comprised by the compressed air station, a minimum pressure can be set which allows the users of the compressed air station to remove a desired amount of pressurized fluid from the system.
- Other control methods use a sequencing control which requires a common predetermined printing band. Upon leaving the print belt, a compressor is either switched on or off in accordance with a previously defined sequence.
- a timer is started which measures a predetermined period of time. If the pressure prevailing in the compressed air station has not reached the pressure regime predetermined by the pressure belt before the end of this time span, a further compressor is in turn switched on or off in a previously defined sequence.
- the manipulations carried out in the illustrated control methods also have to take into account dead times of all control elements in order to prevent an overreaction to a corresponding actuating action in the compressed air station. Accordingly, the calculation of new positioning acts only after a caused by the dead times of the actuators typical delay time. In this way, however, it is unavoidable that the effect of a parking act carried out can only be observed if the condition in the compressed air station is reassessed and carried out by the calculation of a new reaction by further actuating actions. Consequently, there is an artificial reduction in the reaction speed of the control, which adversely affects the control quality of the compressed air station.
- control methods known from the state of the art only allow consideration of boundary conditions, as far as they can be explicitly inspected during the parameterization of the control calculations.
- the relationships between many physical variables of the compressed air stations can only be parameterized by giving empirical rules, which merely represent purely heuristic conditions in potentially extremely limited pressure regimes. For example, well known that in many cases fnot in all ”) by lowering the maximum allowable pressure of the compressed air station energy saving can be achieved.
- the present invention is now based on the object to propose a control method for compressed air stations, which avoids the disadvantages of the known from the prior art approaches.
- the control method according to the invention should permit changes to be made as early as possible. predictions of the pressure in the compressed air station in order to initiate appropriate switching operations in the way.
- This object is achieved by a method for controlling a compressed air station according to claims 1 and 35 or by a system control of a compressed air station according to claim 37.
- the object is achieved by a method for controlling a compressed air station comprising at least a plurality of interconnected compressors, in particular different technical specifications, and optionally other devices of the compressed air technology, which in particular in control cycles both switching strategies via an electronic system control to influence a lot of for one or more users of the compressed air station can cause any time available pressurized fluid in the compressed air station, as well as adjust the available for one or more users of the compressed air station at any time amount of pressurized fluid to future operating conditions of the compressed air station adaptive to the removal amount of pressurized fluid from the compressed air station can, wherein prior to a switching strategy different switching strategies in a Vorsimulations- procedure on the basis of a model of Druck Kunststoff Kunststoffst At the moment, the relatively most advantageous shift strategy is selected from the checked shift strategies based on at least one specified quality criterion, and the selected shift strategy is forwarded to the system controller for initiation in the compressed air station.
- compressors and other devices of the compressed air technology optionally included in the compressed air station are also controlled by internal control or regulation devices, not only by the system control but also in some aspects (eg safety shutdowns, execution of simple switching sequences after changing external control values). can be regulated.
- the object is achieved by a method for controlling or regulating a compressed air station which comprises at least a plurality of interconnected compressors, in particular different technical specifications, and optionally further devices of compressed air technology, the method being implemented in an electronic control of a compressed air station , Information about essential state variables of the compressed air station as input processed information, and outputs control commands for controlling at least some compressors and optionally other components of the compressed air station as output, the method having the following functional structures: a simulation core containing in the dynamic description of the behavior of at least some components of the compressed air station and preferably non-linear models of these components
- the simulation kernel is configured to precalculate, as a simulation result, the time history of all state variables of the compressed air station components included in the model on the basis of assumed alternative switching strategies, the models of the simulation kernel determining the essential nonlinearities and / or discontinuities and / or dead times in the simulation engine Take into account the behavior of the components, in particular the compressors; an algorithm kernel containing parameters for characterizing the components of the compressed air station, information about
- the information base can contain a process image of the compressed air station, ie essentially the measured values of state variables and the current manipulated variables, supplemented by the pre-simulation results of the time profiles of the state variables for different scenarios.
- the kernel may also contain the information about the configuration of the compressed air station as well as the component types and their parameters then included. He may also have heuristics for the creation of different scenarios to investigate.
- the algorithm core then typically passes this information to the simulation kernel.
- the algorithm core typically transfers the state information of the compressed air station originating from the information base and relevant for the pre-simulation to the simulation kernel.
- the simulation core may have models for the usual components of a compressed air station.
- the algorithm kernel can also evaluate these for the investigated scenarios and selects the relatively most advantageous scenario according to the quality criterion and transmits the associated switching strategies to the components of the compressed air station, or keep this switching strategy ready for retrieval. Consequently, the simulation kernel is considered to be a relatively large and complex part of the implementation independent of the particular compressed air station, i. universally usable. It makes sense that the modeling and description can also be done with object-oriented software methods.
- a system control of a compressed air station comprising a plurality of interconnected compressors, in particular different technical specifications, and optionally other devices of compressed air technology, which in particular in control cycles both switching strategies of actuators of the compressed air station and / or different compressors for influencing the Amount of pressurized fluid available in the compressed air station for one or more users of the compressed air station at any time, as well as adjust the available for any one or more users of compressed air station amount of pressurized fluid to future operating conditions adaptive to the removal amount of pressurized fluid from the compressed air station can, where before implementing a switching strategy different switching strategies in a real - time pre - simulation method based on a model of Compressed air station to be checked and from the switching strategies based on at least one specified quality criterion, a relatively advantageous switching strategy is selected and the plant control generates a switching command due to the selected switching strategy.
- a main idea on which the invention is based is to calculate different switching strategies, such as comparably different scenarios of switching operations, with the aid of a pre-simulation method, which makes it possible to simulate the behavior of the entire compressed air station or individual subcomponents thereof accordingly. Accordingly, no optimization calculation is carried out which would optimize the value of a functional unit describing the compressed air station in the mathematical sense, for example, but only a number of scenarios of the compressed air station are determined for different conditions.
- a scenario is to be understood here as an assumed or predicted course of disturbance variables, in particular compressed air consumption, in conjunction with a switching strategy to be investigated.
- a switching strategy is further intended as a sequence of switching actions, i. a discrete or continuous change of manipulated variables are understood, which cause a change in the operation of one or more components of the compressed air station. This may include switching between a load run and an idle or stall, and gradual or continuous changes in the speed or throttle or bleed state of compressors, as well as changes in parameter settings on compressors or other optional components of the compressed air station.
- switching operations are not only to be understood below as individual discrete switching actions, but also in terms of a switching strategy as a time-sequential sequence of switching actions.
- concept of switching involves not only discrete changes in an operating state of components (for example, switching between standstill, idling and load operation), but also continuous changes, such as the second change in the speed of a variable speed compressor or the continuous closing or opening of valves ,
- a clear advantage of the method according to the invention in contrast to methods based on the optimization of a functional unit describing a compressed air station in order to achieve optimum control of the compressed air station over a predetermined time range is that the implementation of complex, non-lean, time-dependent and possibly It is relatively easy to model discontinuous models because the implemented models do not have to be brought to an analytic form with mathematical methods in which they have one Optimization calculation for the determination of optimal manipulated variables is made available. Also associated with optimization calculations restrictions, such as constant disturbance and manipulated variables in a time step, are no restrictions for the inventive method.
- the prediction method according to the invention is carried out on the basis of a model of the compressed air station, which can be parameterized and described in accordance with the number and type of components implemented in the model of the compressed air station.
- Parameters are typically to be understood as parameters which are structurally determined properties (in the present case, for example, the number of pressure vessels, actuators or compressors, electrical properties of the drive motors, volumes of lines and pressure vessels, nature of the pressure lines comprised by the compressed air station, etc.) or predetermined Describe settings (programmed switching delays etc.) and are integrated into the modeling. Parameters typically have no temporal change, but under certain circumstances can be tracked and / or adaptively adapted to take account of wear of individual components.
- Models require not only parameters describing devices in a constructional or functional manner, but also state variables which are instantaneous values of individual components or physical processes describing the compressed air station. These include, for example, the electrical power consumption, the produced pressure volume flow, internal pressures, rotational speeds of drive motors, compressor elements or fan motors, positions of actuators and the like.
- compressors have relevant state variables whose values do not result from the current values of disturbances or manipulated variables but from the past time course, which is why suitable models must also take into account past events. Consequently, to create a model of the compressed air station or individual components, a dynamic approach with "memory" is advantageous, which is particularly easy to implement by the inventive method.
- models for describing the compressed air station or individual components thereof is particularly advantageous in the case of an object-oriented implementation.
- the pre-simulation method applied to these models can also be largely independent of the structure the concrete compressed air station, or the models created for it are executed.
- the time courses of the, preferably all state variables contained in a model of compressors or other devices of the compressed air technology optionally included in the compressed air station are calculated.
- time profiles of the state variables describing the compressed air station in the selected model are to be taken in the pre-simulation period, for example pressure profiles, electrical power consumption, compressed air volume flows, rotational speeds of drive motors, compressor elements or fan motors or positions of internal actuators.
- these results are evaluated for each alternative switching strategy by a quality criterion, whereby a preference order can be created.
- the switching strategy which finally comes first in the order of preference from a series of investigated switching strategies, is selected as the most advantageous switching strategy and accordingly prepared or initiated.
- a selected, relatively advantageous switching strategy does not have to be maintained until the end of the pre-simulation period, but can already be replaced in the next control cycle by possibly determined more favorable switching strategies.
- the length of the pre-simulation period considered in the evaluation of the quality criterion can also be variable and, if appropriate, adaptively adapted by the control method to the characteristics of disturbance variables, manipulated variables and / or state variables.
- control or regulation method can take account of time delays (idle times) or instantly changing state variables (discontinuities) in the pre-simulation, such as a sudden onset of compressed air from a compressor after switching from standstill or idle to load operation. Due to the dead times and discontinuities whose time delay may be greater than the duration of the control cycles, not only taking into account the effects of switching operations at the beginning of the current control cycle on the curves of the state variables in a current control cycle, but also taking into account the effects of Switching actions within control cycles, in past control cycles and the effects of switching operations on future control cycles. Such a temporally holistic approach is particularly easy to implement with the present method. Only by such an approach is but a realistic, ie in particular the pressure curve and energy consumption with high accuracy simulating modeling compressed air stations possible.
- switching strategies can therefore be investigated with the present control and regulation method, the switching operations of which take place within the preselection period. As a result, it can also be determined at which relatively favorable point in time certain switching operations should be carried out.
- the method according to the invention also has the great advantage of being able to take into account variable time profiles of disturbance variables within the pre-simulation period. By using suitable predictions for the disturbance variables, for example the time course of the compressed air removal from the compressed air station, a pre-simulation with improved accuracy over longer periods of time becomes possible and thus also a better evaluation of the effects of switching operations.
- Another inventive concept is an extension of the information base due to the implementation of the pre-simulation method.
- the findings obtained by the pre-simulation represent a set of information relating to future state changes of the compressed air station, whereby also further boundary conditions can be taken into account.
- the system control of the compressed air station can therefore not only rely on currently known process values, but also has knowledge of future effects and states of actuation or switching operations that have already been made in the past or in the present.
- the pre-simulation also allows to generate information values that only relate to future switching strategies.
- the present control method differs as an "acting" control method in contrast to the "responsive" control methods known from the prior art.
- Performing the pre-simulation also allows virtual print events to be defined that relate to events that occur in the pre-simulation but that are not motivated by current real compressed air station readings.
- the pre-simulation method allows the evaluation of various alternative switching strategies for controlling the compressed air station.
- several (in principle any number) variants of switching strategies can be calculated in the pre-simulation in order to be able to determine and evaluate the reaction of the compressed air station to the initiated switching strategies.
- the quality criterion it is possible to select from a set of alternative switching strategies that which gives the most advantageous result under predetermined boundary conditions.
- sequences of switching strategies in the simulation can also be processed, which enables the evaluation of successive switching strategies.
- various boundary conditions can also be simulated in advance. By varying the boundary conditions, switching strategies for the actuators can be determined, for example, which fulfill the conditions in as many expected scenarios as possible in the most advantageous (or at least satisfactory) manner.
- the pre-simulation method for checking a respective switching strategy is executed faster than corresponds to the simulated time period, and preferably in a shorter time than the duration of a control cycle.
- Such a calculation speed allows the pre-simulation of a plurality of switching strategies from which a relatively advantageous criterion can then be selected by means of a quality criterion.
- the pre-simulation method for checking a respective switching strategy comprises in particular the time profile of state variables contained in the model of the compressed-air station for the period of the pre-simulation.
- the future course of the state variables allows an enlargement of the information base on which basis a more precise and improved control is made possible.
- the model of the compressed air station is based on a set of time-dependent and / or non-linear and for simulating discontinuities and / or deadlines.
- times in the behavior of the compressors and / or optional other devices of the compressed air technology preferably structure variants differential equations, which preferably insofar also allow the detection of the effect of past events on the current state variables of the compressed air station.
- structural variance should be understood to mean that from the set of differential equations only a changing subset is occasionally taken into account.
- a plurality of piecewise linear differential equations may be used as approximations, some differential equations may be time dependent, while the others are not time dependent, some differential equations may be linear while the others are nonlinear, and / or some differential equations may always be considered, others only on a case-by-case basis.
- a development of the various switching strategies over a predetermined period of time is calculated in discrete or continuous steps.
- the length of the time span can be specified externally by an operator of the compressed air station, for example, or also be permanently parameterized.
- the length of the time span can also be adaptively adapted to the events in the compressed air station.
- the plant control can be set to occur in a compressed air station typically occurring periods of specific fluctuations in the pressure conditions.
- the pre-simulation is carried out over a predetermined period of time of 1 second to 1000 seconds, preferably 10 seconds to 300 seconds.
- a time span This length typically allows to safely detect the changes and fluctuations in pressure conditions caused by the initiation of switching strategies in the compressed air station, as well as to ensure a sufficient pre-simulation margin for most applications.
- the period of the pre-simulation is adapted adaptively by a termination criterion based on parameters and / or state variables of the model of the compressed air station, in particular of pressure events, and / or records or forecasts of the pressure consumption.
- a termination criterion based on parameters and / or state variables of the model of the compressed air station, in particular of pressure events, and / or records or forecasts of the pressure consumption.
- the switching strategies checked by the pre-simulation method comprise discrete or continuous changes of the operating state of compressors and optionally of other devices of the compressed air station at the beginning, at the end and / or at arbitrary times within the period of the pre-simulation.
- the method according to the invention allows the consideration of the changes of manipulated or disturbing variables within a simulated time span and consequently allows a more realistic consideration of the time course of these variables.
- the length of the simulated time period of the pre-simulation method is determined as a function of the technical performance data of the compressors of the compressor system and / or as a function of the actual load of individual compressors and / or past load fluctuations.
- the length of the pre-simulation can thus be limited in such a way that the computing resources necessary for calculating the results of the pre-simulation are used to the greatest possible advantage.
- the length of the simulated time period is dimensioned such that it is longer than the shortest typically occurring load fluctuations of the compressed air station.
- this step size can also immediate Changes in the pressure conditions in the compressed air station can be reliably detected, for example after a switching operation has been carried out in the pre-simulation, with simultaneous economical use of the computing resources used by the system controller.
- the method for controlling a compressed air station can also be characterized in that within the pre-simulation at least some of the discontinuities and / or dead times in the behavior of the compressors and / or optional other devices of compressed air technology, in particular the delayed compressed air delivery and the additional energy consumption the compressors in connection with changes in their operating state, are considered such that a separate consideration beyond the pre-simulation in the plant control is no longer mandatory.
- the existing in a compressed air station actuators have typical dead times, ranging in the range between 1 second to several 10 seconds. Contrary to the control methods known from the prior art, it is possible in the present case to calculate the effective dead times and other discontinuities in the pre-simulation, and thus to take these quantities into account in the calculation of the switching operations.
- the pressure values are not fixed in the present case, but can be adapted to the conditions in the compressed air station.
- the determination of the pressure values can also be carried out by means of the pre-simulation be carried out.
- the determination of suitable upper and lower pressure values can be determined from repeatedly repeated pre-simulations with mutually differing pressure values.
- pressure values are initially determined in advance, they can form the basis for the calculation of different simulations in a defined manner, in which the pressure values themselves remain invariable, but variables such as manipulated variables characterized, for example, by switching operations are modified.
- a change in state of the compressed air station which does not require a new definition of the upper pressure values, can be used to determine a switching strategy that is as advantageous as possible, that only a predetermined number of manipulated variables characterizing the actuating actions are determined in the pre-simulation method.
- the at least one predetermined shutdown strategy or the at least one predetermined Zuschaltstrategie results from a respectively fixed in list form shutdown or Zuschaltgolngol.
- the respective sequences for switching off or switching on, for example, individual compressors or compressor groups can also be based on heuristic findings or else on results from numerical calculations.
- the calculation time for the calculation of individual alternative switch strategies can be shortened to a technically advantageous level.
- connection or disconnection can also be switched off.
- different compressor groups under fixed or pre-simulati- on procedures still to be evaluated upper pressure values or lower pressure values are considered.
- the connection or disconnection of different groups of compressors may here again be based on heuristic knowledge or on predetermined sequences which have been created by means of numerical calculations. By switching on or off entire compressor groups can be targeted and sometimes longer-term effect on the change of pressure conditions in the compressed air station.
- the pre-simulation method is carried out based on the theory for hybrid automata.
- the realization of the pre-simulation method has a wide basis for the calculation, which can be carried out with high efficiency.
- the execution of the pre-simulation method based on hybrid automata in contrast to the conventional calculation based solely on digital quantities, also enables the acquisition of analog variables such as analogue data.
- the real-time measured variables for example, the real-time measured variables.
- the continuous measured variables do not assume a value from a number of possible values, but can be varied steplessly and therefore require a separate treatment.
- Hybrid automata are an extension of the concept of finite automata that can be used to model virtually any discrete system.
- hybrid machines do not necessarily have to be used for carrying out the method according to the invention, they are nevertheless a prerequisite for the preparation of the simulation model considered to be advantageous here.
- the pre-simulation method is carried out on the basis of a computer-implementable and preferably deterministic model. This allows for the use of previously known computer-implemented algorithms and mathematical methods, such as are widely available in numerical mathematics.
- the method for controlling a compressed air station can also be characterized in that the quality criterion is defined by the lowest possible energy consumption or at least significantly influenced.
- the energy Energy consumption which sometimes represents the largest cost factor in the operation of a compressed air station, can therefore be determined in advance before the occurrence of specific changes in the pressure conditions in the compressed air station and be influenced by a selection criterion, such as to reduce or reduce energy consumption. A significant increase in profitability in the operation of the compressed air station can thus be the result.
- the pre-simulation method at least one data set with predicted, future time profiles of the state variables of the compressed air station model in different switching strategies at different, not necessarily equidistant times and / or with codes derived therefrom, preferably for the entire control cycle. Due to the creation of such at least one data set, it is possible for the plant control of the compressed air station to initiate corresponding switching strategies without the plant control itself having to use the pre-simulation method as an immediate control algorithm or part of an immediate control algorithm. Rather, the pre-simulation method may be implemented as a standalone numeric module, which is initialized and executed by the plant controller when needed.
- the method for controlling a compressed air station may also include an optionally automatic adaptation of the model of the compressed air station to updated and / or initially only nominally known and / or not exactly set system parameters. This update ensures that appropriate plant parameters are available during the entire time of operation of the compressed air station at each time the pre-simulation procedure is performed. Automatic adaptation of the compressed air station model to updated system parameters may, in addition to ensuring a more accurate prediction, sometimes increase the speed of execution of the pre-simulation process.
- the method according to the invention can also be characterized in that an adaptation of the model of the compressed air station to updated system parameters is achieved by selecting from several alternative sets of system parameters the one with which the subsequent The simulation of the operation of the compressed air station for a given time interval best corresponds to the actually observed course of the operation of the compressed air station.
- This selection strategy can also be supported by the fact that sequential targeted changes in the operating state of each individual compressors and / or devices of the compressed air station are performed, and that in the context of the subsequent simulation only alternative parameters of the respective compressor and / or the device are examined and selected.
- current variable system state variables of the compressed air station can be taken into account in the pre-simulation method, in particular information about the operating state of at least one pressure fluid tank, for example its pressure and / or its temperature and / or information about the operating states of individual compressors, for example their current control states and / or currentjanszustrisen and / or information in relation to the change in the amount of pressurized fluid in the compressed air station, for example, the decrease in the pressure fluid quantity per unit time.
- the method for controlling a compressed air station can also be distinguished by the fact that information about the delivery quantity of pressurized fluid of individual compressors and / or the power consumption of individual compressors in different load states and / or information about the dead times of the compressors and / or information about the dead times of the compressors in the pre-simulation method as solid system parameters of the compressed air station or for the compressor system characteristic minimum pressure or maximum pressure limits are taken into account.
- the consideration of the fixed system parameters of the compressed air station further allows a more detailed description of the compressed air station itself as well as marginal conditions important for the execution of the pre-simulation method, and thus results in an improved prediction of the pressure conditions in the compressed air station by means of the pre-simulation.
- the method for controlling the compressed air station may also provide that, in the simulated time pre-simulation, there is no change in the configuration of the compressors loaded in the pre-simulation which takes place in the pre-simulation not in load located compressors of the compressed air station.
- the pre-simulation can be carried out faster, thus increasing the prediction speed.
- the configuration of the compressors in the pre-simulation in load or not in load need not coincide with the currently prevailing configuration of compressor compressors at the time of execution of the pre-simulation. Rather, it may be crucial to assume in a pre-simulation a configuration of on-going compressors or non-load compressors, which does not match the real, current situation, thus determining the most appropriate control strategy for the control of the compressed air station ,
- the method for controlling a compressed air station may further provide that a pressure compensating compressor is selected from the number of compressors in the pre-simulation of the compressor in terms of compressor power smallest compressor, which, according to the pre-simulation, the longest remaining time in an idle state if this compressor were to be transferred to a compressor not under load in the pre-simulation in a compressor under load in the pre-simulation.
- the classification of the compressors in compressors or compressors not loaded in the pre-simulation takes place on the basis of process information and the parameterization stored in the control.
- a compressor can be determined as a pressure compensation compressor, which in the future has to provide for a corresponding real pressure equalization.
- this pressure compensating compressor is selected from the amount of compressors loaded in the pre-simulation.
- Both pre-set parameters and process information (state variable) of the compressed air station can be used to select the pressure balance compressor.
- the method for controlling a compressed air station can provide that at least two pre-simulations with the same parameterization but differently selected numerical values for the lower pressure value are carried out for determining the lower pressure value and determine the simulated time points of undershooting the lower pressure value.
- the determination of the lower pressure value typically only takes place when the pressure compensation compressor is currently not under load.
- the control of the pressure compensation compressor can be taken over by an algorithm which works with the pressure values (lower pressure value and upper pressure value), which can always be adapted to the changing conditions in the compressed air station.
- different pressure values can be specified and, as it were, tried out by means of the pre-simulation method.
- a determination of the lower pressure value typically only takes place when the pressure compensation compressor is currently not under load. On the basis of the pre-simulation method, it is therefore possible to determine the probable time at which the undershooting of a previously parameterized minimum pressure of the compressed-air station takes place.
- Heuristic rules can also be used to determine when the pressure balance compressor is treated as a load compressor in the pre-simulation process. For example, if the compressor is in an idle state 5 seconds before falling below the minimum pressure, then the lower pressure value of the pressure is 5 seconds before falling below the minimum pressure. On the other hand, if the pressure compensating compressor is in an off state 5 seconds before the minimum pressure is undershot, then the lower pressure value is the pressure at the time of 15 seconds before the minimum pressure undershooting.
- the period of 5 seconds may correspond to the approximate dead time of a compressor for the state change from an idle state to a load state.
- the time span of 15 seconds on the other hand, may correspond to the approximate dead time of a compressor for the state change from an off state to a load state.
- the method for controlling a compressed air station can also be distinguished by the fact that at least two pre-simulations with the same parameterization but differently selected numerical values for the upper pressure value are carried out for the determination of the upper pressure value and then convert the pressure compensating compressor into a compressor in pre-simulation when the pressure of the pressurized fluid in the compressed air station falls below the lower pressure value, and then into one not in load transfer located compressor when the pressure of the pressurized fluid in the compressed air station exceeds the upper pressure value.
- the upper pressure value is typically redefined. For the upper pressure value, a minimum and a maximum value can be specified. The minimum value is typically the same as the lower pressure value.
- the maximum value of the upper pressure value can also result from the maximum pressure permissible for the operation of the compressed air station. For example, if the pressure in the compressed air station exceeds the maximum pressure, the pressure compensation compressor must be switched off automatically. Any values between the minimum and maximum values for the upper pressure value are allowable pressure values in the pre-simulation. By dividing this pressure regime into, for example, equally spaced pressure limits, a predetermined number of upper pressure values can be examined by means of the pre-simulation for their properties suitable for the control of the compressed air station. It can be provided that the pressure value is determined as the upper pressure value, which can be expected over the simulated time course of the pressure conditions in the compressed air station the most stable course of the pressure.
- the upper pressure value determined as relatively advantageous in the pre-simulation comes from the total of all the upper pressure values set in the pre-simulations, and relatively advantageous with respect to the energy consumption with respect to the simulated energy intake of all Compressors was selected. Accordingly, the appropriate choice of an upper pressure value can already make a significant contribution to reducing the operating costs of the compressed air station.
- the upper pressure values set in the pre-simulations for determining an advantageous upper pressure value in increments of ⁇ 0.5 bar, especially in increments of ⁇ 0.1 bar are set, the increments of successively set or examined upper pressure values need not be equidistant spaced, or the step size between the examined upper pressure values not constant have to be.
- These increments allow a reliable determination of that upper pressure value, which is to be classified as relatively advantageous.
- the increments relate to operating pressures, or fluctuations of operating pressures in compressor systems, such as those used in an industrial environment.
- the pre-simulation uses stochastic models over the development of consumer behavior with regard to the removal of pressurized fluid from the compressed air station. Accordingly, in the pre-simulation, the removal of pressurized fluid can be taken into account, as they take place approximately in the regular operation of the compressed air station.
- the pre-simulation uses artificially intelligent and / or adaptive numerical routines with respect to the temporal evolution of the consumer behavior with regard to the removal of pressurized fluid from the compressed air station. Consequently, a relatively accurate detection of consumer behavior after a long time of use of the compressed air station is ensured. A consideration of consumer behavior in terms of temporal evolution can thus be done in a particularly favorable manner.
- the program implementation of the method is defined using object-oriented programming methods, wherein at least the compressors are regarded as objects. Accordingly, the development and implementation of the compressed air station model is particularly simple.
- a separate hardware is used for carrying out the pre-simulation, which communicates via a bus system with the system controller, which in turn communicates with the compressors and optionally with other devices of the compressed air technology.
- the heuristics for forming alternative switching strategies are determined by a model of a system control of a compressed air station contained in the simulation model. realized on the model of the plant control in the simulation, the control and regulation of the simulated compressed air station and wherein alternative switching strategies are formed by specifying alternative control and regulation parameters for the model of plant control, of which in each case the most advantageous switching strategy for instigation in the real Compressed air station is selected.
- FIG. 1 is a schematic representation of a compressed air station with a system control, according to a first embodiment of the present invention
- FIG. 2 is a schematic representation of a compressed air station with a system control, according to another embodiment of the present invention.
- FIG. 3 is a model of the compressed air station according to the embodiment of the real compressed air station in Fig. 2,
- FIG. 5 shows a flowchart for clarifying the method using a pre-simulation for controlling a compressed air station according to an embodiment of the method according to the invention
- FIG. 6 is a flow chart illustrating the use of a pre-simulation in an embodiment of the control method according to the invention.
- 7 is a representation of the temporal pressure curve of a compressed air station u nter use of pressure band limits
- 8 is an illustration of the pressure curve in a compressed air station employing a pressure control method using three nested printing tapes.
- FIG. 9 shows a time course of the pressure in a compressed air station according to an embodiment of the invention over a future simulated time span for virtual control value changes
- FIG. 10 shows a pressure curve in a compressed air station according to an embodiment of the invention over a simulated future time span for virtual manipulated variable changes for determining a preferred switching strategy
- Fig. 11 is a temporal pressure change in a compressed air station by means of a
- Control method taking into account the dead time of two control elements.
- Fig. 1 shows a schematic representation of a first embodiment of a compressed air station 1, which cooperates with an embodiment of a system controller 3 according to the invention and is also controlled or regulated by this.
- the compressed air station 1 comprises three compressors 2 which are connected via pressure lines 9 and actuators 5 designed as valves to two compressed air dryers 14.
- the pressurized fluid 4 (not shown here) provided for one or more users is stored in the pressurized fluid tank 8.
- each actuator 5 can be addressed via a connection, which is not further described here, with the system controller 3.
- the functional principle of the system controller 3 basically corresponds to that of the further, somewhat more complex embodiment according to FIG. 2.
- FIG. 2 shows a schematic representation of a compressed air station 1 which is somewhat more complex than the embodiment according to FIG. 1 and which cooperates with a system controller 3 and is controlled or regulated by it.
- the compressed air station 1 comprises in the system control 3 three compressors 2, which is provided with appropriate control or regulation for providing pressurized fluid 4 (not shown here) to three pressurized fluid tanks 8.
- the Pressurized fluid 4 is distributed from each compressor 2 via a pressure line 9 to three actuators 5, which are presently designed as valves 5, which are in fluid communication with the three pressure fluid tanks 8, and can supply each pressure fluid tank 8 with pressurized fluid as needed.
- the pressurized fluid 4 can be removed from the compressed air station 1 as needed by a user or several users.
- pressurized fluid 4 can be removed from all pressure fluid tanks 8.
- pressure fluid 4 can be directed from the pressurized fluid tanks 8 to the user station to the user on the one hand, and on the other hand pressure equalization of the individual pressurized fluid tanks 8 with each other is possible.
- each actuator 5 can be addressed via a connection, which is not further described here, with the system controller 3. For reasons of clarity, in the present case not every actuator 5 was expressly provided with a connection to the system control.
- control signals for switching operations transmitted by the system controller 3 to the actuators 5 can be of the most varied type and, moreover, can be both of a discrete and a continuous nature.
- common control signals of the actuators 5, in particular on valves may include a connection, connection or even a gradual connection or connection.
- connections between the pickup station and individual fluid tanks 8 can thus be established.
- possible initial actuators eg pressure reducing valves
- the compressed air station 1 may comprise sensors which detect temporally variable system state variables 56 (not shown here) and further make the system controller 3 available for the control or regulation of the compressed air station 1.
- the pressure fluid tanks 8 can be provided with sensors which are not further described here, which allow the measurement of the pressures in the individual pressure fluid tanks 8.
- the compressed air station 1 can also be provided with further sensors, not shown here, which allow the detection of quantities of technical parameters for characterizing the compressed air station 1.
- Fig. 3 shows a model of the compressed air station as shown in Fig. 2, which is used for example in a system controller 3 for controlling the real compressed air station.
- the system controller 3 can use a pre-simulation method 20 (not designated here) in accordance with an embodiment of the present invention or even embody only a symbolic representation for the parameterization of a compressed air station 1.
- a pre-simulation method 20 (not designated here) in accordance with an embodiment of the present invention or even embody only a symbolic representation for the parameterization of a compressed air station 1.
- each essential component for the operation of the compressed air station is characterized by a numerical parameterization (parameterization).
- the format of this parameterization must be suitable for being suitably used by the system controller 3 or a pre-simulation method 20 (not shown here).
- the parameterization can be done not only by numerical, but also by symbolic values, such as by the specification and selection of Funktio ⁇ swanien, types, series or type designations of compressors.
- Fig. 4 illustrates the time course of the pressure in the compressed air station 1, or a pressure fluid tank 8 not further described herein under the action of a switching strategy 10 (switching action, Stellgr ⁇ hybrid or providedung).
- switching action occurs at the time of the present.
- the switching strategy 10 is performed, for example, to compensate for the falling in the past pressure of the compressed air station 1 accordingly.
- switching action in the present for example, a switching on of a pressure valve
- an increase in the pressure in the compressed air station 1 occurs in the course of time of the future.
- a selection of a preferred switching strategy 10 is carried out according to the present inventive method for controlling a compressed air station also by means of a pre-simulation.
- the alternative switching strategies 11 can result in temporally future and predicted courses of the pressure in the compressed air station 1, such as in the pressure curves Ti, T 2 and T 3 of the pressure profile in FIG. 4.
- FIG. 6 shows a further flowchart for the representation of a data set 6 which contains simulation results of the pre-simulation 20.
- a preferred switching strategy 10 can be determined.
- system-relevant variables can be fixed system parameters 55, which contain, for example, information on the delivery quantity of pressurized fluid of individual compressors, or on the power consumption of individual compressors in different load states, information on the dead times of the compressors or actuators, as well as on the compressed air station characteristic minimum pressure and maximum pressure limits.
- system-relevant parameters can also consist of system state variables 56, which represent variables which vary with time.
- system state variables 56 of the compressed air station 1 can provide the information about the operating state of less At least one pressure fluid tank 8 or its pressure, its temperature, they may include information about the operating conditions of individual compressors 2, and their current control states or functional states, as well as information relating to the change in the amount of pressurized fluid 4 in the compressed air station 1, such as For example, the change of pressurized fluid per unit time, their flow or other physical parameters.
- the quality of the pre-simulation 20 is based on the quality or number of fixed system parameters 55 and system state variables 56 on which the pre-simulation 20 is based.
- FIG. 7 shows the illustration of a pressure curve of a compressed air station with respect to a pressure belt, which defines a pressure belt lower limit 42 with a minimum pressure P m i n and a pressure upper belt limit 41 with a maximum pressure P max .
- Such a switching action is initiated at the time that the pressure trace leaves the pressure belt lower limit 42, whereby the supply of additional pressure fluid is such that after a short period of underrun the pressure curve again follows within the limits of the fixed predetermined pressure band. If, on the other hand, the pressure curve leaves uppermost upper limit of pressure 41, the pressure curve can be corrected, for example, by a shut-off action at the time of elimination of upper limit of pressure 41 such that, after a short period of exceeding, this again takes place within the pressure-band limits.
- FIG. 8 shows approximately the pressure profile of a compressed air station 1 relative to three nested pressure belts.
- the smallest pressure band with the lower pressure limit 42 of Pm and the upper pressure limit 41 with the pressure Poi lies within the next larger pressure band with the lower pressure limit 42 of Pu 2 and the upper pressure limit 41 with the pressure P 02 .
- Both previously designated pressure bands are again within the largest pressure band, which has a lower pressure limit 42 of P min and a maximum pressure of the upper limit pressure band 41 of P max .
- switching operations 3 can already be initiated at the times at which the pressure variation exceeds the pressure band limits of the smallest or next larger pressure band. Due to the inherent in the compressed air station delay times after making a switching action occurs after a correspondingly short periods of time to correct the pressure curve.
- FIGS. 7 and 8 result from switching operations, which have been caused by purely reactive control methods. Only if a predetermined pressure event has occurred at one time (for example, leaving the pressure band limits) will a corresponding switching action be initiated. In contrast, according to the present invention, switching strategies are simulated in the future in order to set a desired pressure profile.
- a switching strategy 10 is performed at a present time, which reduces the manipulated variable from a value a) to a smaller value b).
- the expected future course of the pressure in the compressed air station follows a slightly delayed waste in time.
- a virtual change of the manipulated variable from the value b) to the higher value c) is made.
- This virtual manipulated variable change results in a virtual increase in the pressure in the compressed air station 1.
- a further manipulated variable change is made from the value c) to the value d) at a later simulated time.
- This second virtual manipulated variable change to the value d) can be, for example, in a shutdown strategy 12. Due to the combination of both virtual manipulated variable changes, it is possible to set a stable virtual pressure curve toward the end of the simulated time period 23. If, for example, the two virtual Size changes made at the appropriate times in the real future as the actual switching strategy 10, a setting of a stable pressure curve is expected. By carrying out the pre-simulation, the future behavior of the compressed air station can thus be predicted, and the information base for the state of the compressed air station can still be extended to future times.
- FIG. 10 illustrates three possible virtual pressure curves, as would result from different manipulated variable changes according to the pre-simulation 20 over the simulated time period 23, compared to the pressure profile shown in FIG. 9.
- the virtual Zuschaltstrategien 13 and Abschaltstrategien 12 results in a more stable at the end of the simulated time period 23 or increasing or decreasing pressure curve.
- the virtual switching strategies 10 made in the different simulations can also take place at different times.
- the different manipulated variable changes can also be influenced by the removal behavior of pressurized fluid by one or more users from the compressed air station 1. Accordingly, the sequence of switching operations, which is denoted by Si, results in a pressure curve Ti increasing towards the end of the simulated time span 23.
- the sequence of switching operations which is denoted by S 2 , results in a largely stable course of the simulation at the end of the simulated time span 23 Pressure in the compressed air station 1.
- the sequence of switching operations which is denoted by S 3 , results at the end of the simulated time period 23 in a decreasing pressure curve T 3 .
- a quality criterion 22 (not shown here) that pressure profile is selected which has the relatively lowest fluctuations at the end of the simulated time period 23
- the performed pre-simulation 20 suggests switching operations 10 in accordance with S 2 designated sequence to execute switching operations at the appropriate future times.
- numerous possible virtual pressure curves can also be generated by varying numerous other parameters in the pre-simulation, from which the best can then be selected according to a quality criterion 22.
- Fig. 11 the pressure profile of a compressed air station 1 ü is shown over a time course.
- a switching action was carried out at the time T 1 on the first actuator. Due to the dead time of the first actuator 5, the effect of this switching action in the pressure curve in the presence is not yet visible. Consequently, it is now possible to carry out a further switching action on a second actuator.
- the switching action on the second actuator can improve the degree of fulfillment of a boundary condition (for example, avoidance of undershooting of the minimum pressure P mm ) or was even necessary.
- the pre-simulation is carried out for both possible switching strategies over the simulated time period 23, it is evident that the switching action on the second actuator 5 is not necessary in order to ensure compliance with the boundary conditions.
- the dead time of the second actuator 5 is only overcome after the pressure in the compressed air station 1 is already well above the minimum pressure P min . Consequently, it could be decided on the basis of the performed pre-simulation method 20 that the execution of the switching action on the second actuator for improving the pressure curve in the compressed air station 1 should be omitted.
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Abstract
Description
Claims
Priority Applications (10)
Application Number | Priority Date | Filing Date | Title |
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ES09799353T ES2622985T5 (es) | 2008-12-23 | 2009-12-23 | Procedimiento asistido por simulación para el control o la regulación de estaciones de aire comprimido |
CA2746110A CA2746110C (en) | 2008-12-23 | 2009-12-23 | Simulation-supported method for controlling and/or regulating compressed air stations |
JP2011542825A JP5702301B2 (ja) | 2008-12-23 | 2009-12-23 | 圧縮エアステーションを制御及び/又は調整するためのシミュレーション支援型方法 |
RU2011130185/06A RU2536639C2 (ru) | 2008-12-23 | 2009-12-23 | Способ (варианты) и система управления компрессорной станцией |
BRPI0918192-0A BRPI0918192B1 (pt) | 2008-12-23 | 2009-12-23 | Metodo para o controle ou regulagem de uma estação de ar comprimindo e dispositivo de controle de uma estação de ar comprimido |
MX2011006810A MX342254B (es) | 2008-12-23 | 2009-12-23 | Metodo soportado por simulacion, para controlar y/o regular estaciones de aire comprimido. |
AU2009331498A AU2009331498A1 (en) | 2008-12-23 | 2009-12-23 | Simulation-supported method for controlling and regulating compressed air stations |
EP09799353.9A EP2376783B2 (de) | 2008-12-23 | 2009-12-23 | Simulationsgestütztes verfahren zur steuerung bzw. regelung von druckluftstationen |
CN200980152462.2A CN102272456B (zh) | 2008-12-23 | 2009-12-23 | 用于控制和调节压缩空气站的仿真法 |
US13/141,233 US20120029706A1 (en) | 2008-12-23 | 2009-12-23 | Simulation-Supported Method for Controlling and Regulating Compressed Air Stations |
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DE102008064491A DE102008064491A1 (de) | 2008-12-23 | 2008-12-23 | Simulationsgestütztes Verfahren zur Steuerung bzw. Regelung von Druckluftstationen |
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CA (1) | CA2746110C (de) |
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DE102008064490A1 (de) * | 2008-12-23 | 2010-06-24 | Kaeser Kompressoren Gmbh | Verfahren zum Steuern einer Kompressoranlage |
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2008
- 2008-12-23 DE DE102008064491A patent/DE102008064491A1/de not_active Ceased
-
2009
- 2009-12-23 ES ES09799353T patent/ES2622985T5/es active Active
- 2009-12-23 BR BRPI0918192-0A patent/BRPI0918192B1/pt active IP Right Grant
- 2009-12-23 AU AU2009331498A patent/AU2009331498A1/en not_active Abandoned
- 2009-12-23 CN CN200980152462.2A patent/CN102272456B/zh active Active
- 2009-12-23 WO PCT/EP2009/067838 patent/WO2010072803A1/de active Application Filing
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- 2009-12-23 CA CA2746110A patent/CA2746110C/en active Active
- 2009-12-23 MX MX2011006810A patent/MX342254B/es active IP Right Grant
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Cited By (14)
Publication number | Priority date | Publication date | Assignee | Title |
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US8073654B2 (en) | 2004-12-17 | 2011-12-06 | L'air Liquide Societe Anonyme Pour L'etude Et L'exploitation Des Procedes Georges Claude | Process for controlling the energy performance of an industrial unit |
US11162492B2 (en) | 2008-12-23 | 2021-11-02 | Kaeser Kompressoren Se | Method for controlling a compressor installation |
EP3640477A1 (de) | 2013-03-15 | 2020-04-22 | Kaeser Kompressoren SE | Entwicklung eines übergeordneten modells |
WO2014140261A1 (de) | 2013-03-15 | 2014-09-18 | Kaeser Kompressoren Se | R&i- schema eingabe |
US10202974B2 (en) | 2013-03-15 | 2019-02-12 | Kaeser Kompressoren Se | P and I diagram input |
EP2778412A1 (de) | 2013-03-15 | 2014-09-17 | Kaeser Kompressoren SE | Entwicklung eines übergeordneten Modells zum Steuern und/oder Überwachen einer Kompressoranlage |
US11136974B2 (en) | 2013-03-15 | 2021-10-05 | Kaeser Kompressoren Se | Development of a higher-level model |
EP2778413A1 (de) | 2013-03-15 | 2014-09-17 | Kaeser Kompressoren SE | R&I-Schema Eingabe für ein Verfahren zum Steuern und/oder Überwachen einer Kompressoranlage |
EP3640476A1 (de) | 2013-10-10 | 2020-04-22 | Kaeser Kompressoren Se | Elektronische steuerungseinrichtung für eine komponente der drucklufterzeugung, druckluftaufbereitung, druckluftspeicherung und/oder druckluftverteilung |
EP4224016A1 (de) | 2013-10-10 | 2023-08-09 | Kaeser Kompressoren Se | Elektronische steuerungseinrichtung für eine komponente der drucklufterzeugung, druckluftaufbereitung, druckluftspeicherung und/oder druckluftverteilung |
DE102021118771A1 (de) | 2021-07-20 | 2023-01-26 | Kaeser Kompressoren Se | Verfahren zur Bereitstellung mindestens einer Auslegungskonfiguration einer Druckluftanlage |
WO2023001903A1 (de) | 2021-07-20 | 2023-01-26 | Kaeser Kompressoren Se | Verfahren zur bereitstellung mindestens einer auslegungskonfiguration einer druckluftanlage |
WO2024115068A1 (de) | 2022-12-02 | 2024-06-06 | Kaeser Kompressoren Se | Verfahren zur steuerung einer kompressoranlage mit mehreren kompressoren |
DE102022132003A1 (de) | 2022-12-02 | 2024-06-13 | Kaeser Kompressoren Se | Verfahren zur steuerung einer kompressoranlage mit mehreren kompressoren |
Also Published As
Publication number | Publication date |
---|---|
EP2376783A1 (de) | 2011-10-19 |
RU2536639C2 (ru) | 2014-12-27 |
CN102272456A (zh) | 2011-12-07 |
ES2622985T5 (es) | 2021-07-22 |
DE102008064491A1 (de) | 2010-06-24 |
ES2622985T3 (es) | 2017-07-10 |
AU2009331498A1 (en) | 2011-08-18 |
CA2746110C (en) | 2016-12-13 |
EP2376783B2 (de) | 2020-11-04 |
CA2746110A1 (en) | 2010-07-01 |
EP2376783B1 (de) | 2017-02-15 |
JP2012513563A (ja) | 2012-06-14 |
US20120029706A1 (en) | 2012-02-02 |
JP5702301B2 (ja) | 2015-04-15 |
MX342254B (es) | 2016-09-21 |
CN102272456B (zh) | 2014-08-13 |
BRPI0918192B1 (pt) | 2022-03-03 |
MX2011006810A (es) | 2011-07-20 |
RU2011130185A (ru) | 2013-01-27 |
BRPI0918192A2 (pt) | 2015-12-01 |
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