[0001] This disclosure in general relates to a method for operating or controlling a fluid
production system for air separation processes. This disclosure also relates to a
production system including air separation processes. More particularly, controlling
production of liquid air components in an air separation plant network is disclosed.
One may regard the methods and systems disclosed as applications using operational
research methods,
[0002] In production systems involving a plurality of air separation units or plants and
a plurality of consumers using the separation products such as nitrogen, oxygen and
rare gas components, an energy- and time-efficient scheduling of the individual air
separation units is desired. As cryogenic air separation is an industrial process
and highly energy-intensive, the major operating cost is electricity. Engaging and
shutting down the air separation units according to a demand of the separation products
by the consumers can be mathematically described as an optimization problem.
[0003] In general, the field of operations research, or operational research deals with
the application of advanced mathematical methods to help make better decisions, e.g.
deciding a commitment of plant units in a production system. Sub-fields of managing
or controlling such a production system according to operational research methods
are, e.g., assignment problems, project planning, game theory, routing, scheduling,
forecasting demands and supplies.
[0004] In the past, scheduling and commitment algorithms have been proposed, that sometimes
use real-time optimization programs in terms of closed-loop control approaches and/or
non-linear problem solver algorithms. For example,
US 7,092,893 discloses a method for controlling liquid and gaseous production within a plurality
of air separation plants to produce and distribute gases and liquid products to a
plurality of customers in which the electrical power cost involved in producing gases
and liquid products is optimized to be at a minimum together with road shipping costs
of liquid products by a real-time optimization program. The proposed algorithm considers
thermodynamic models of the different air separation units and requires complex non-linear
calculations. Generally, real-time planning systems continuously updating parameters
of the plant network require large calculation and storage resources.
[0005] It is therefore an aspect of the disclosure to provide an improved and efficient
method for operating a production system involving a plurality of air separation processes.
[0006] Accordingly, a method for operating a production system for air separation processes
comprises:
a plurality of air separation plant units wherein an air separation plant unit is
implemented to provide at least one fluid product;
a plurality of consumer units wherein a consumer unit is implemented to receive and
use at least one of the products according to a demand associated with a consumer
unit, and
wherein the air separation plant units and the consumer units are communicatively
coupled through a manifold of conduits.
[0007] The method comprises the step of activating and/or deactivating the air separation
plant units as a function of a linear model describing the production system.
[0008] According to an aspect of this disclosure, a production system of air separation
processes is disclosed. The system comprises:
a plurality of air separation plant units, wherein an air separation plant unit is
implemented to provide at least one fluid product;
a plurality of consumer units wherein a consumer unit is implemented to receive and
use at least one of the products according to a demand associated with a consumer
unit,
wherein the air separation plant units and the consumer units are communicatively
coupled through a manifold of conduits; and
a control unit for activating and/or deactivating the air separation units as a function
of a linear model describing the production system.
[0009] The method for operating or controlling a production system for air separation processes
generally employs a linear model that can be efficiently implemented in terms of a
computer readable code and/or a programmable control unit. The method and/or system
can be implemented to schedule the start-up and shut-down operations or activation
and/or deactivation of air separation plant units. One can also refer to a method
or a system adapted to execute a unit commitment algorithm. The system and method
relates to operational research where a mathematically linear optimization is used.
[0010] It is an advantage of the disclosed method and system that a linear optimization
routine is implemented instead of scheduling algorithms for multi-plant complexes
that require non-linear and/or closed-loop control algorithms.
[0011] In embodiments, the method comprises the step of operating each air separation plant
unit independently from one another according to a closed-loop control process. Similarly,
a respective air separation plant unit in the production system can be adapted to
operate according to a closed-loop control independently from other air separation
plant units comprised in the system.
[0012] The method for operating or controlling the production system only requires a small
amount of adjustment parameters, as for example the individual air separation plant
units can be described in terms of simple heuristic models. There is no need for real-time
closed-loop control as it may be necessary for a production system control controlling
the individual air separation plants. The method and system can assume an idealized
or generalized model for each plant thereby reducing calculational requirements,
[0013] In embodiments of the method and/or the system, the fluid product is at least one
of liquid oxygen, nitrogen or a rare gas component of air. The system may comprise
at least one storage unit implemented to receive and store fluid products from the
manifold of conduits and/or implemented to feed fluid products into the manifold of
conduits. For example, storage units, can be reservoirs for the air separation products.
The system may also comprise a plurality of sensor units for monitoring operational
parameters of the air separation plant units, the consumer units and/or the storage
units.
[0014] In embodiments of the method or the production system, a heuristic model is associated
to each air separation plant unit, to the consumer unit and/or the storage unit. Heuristic
models are easy to implement and do not require complicated and extensive calculational
effort.
[0015] In embodiments of the method, a predetermined fluid product consumption is set or
associated to each consumer unit over a predetermined time. The activating and/or
deactivating then is preferably carried out as a function of the predetermined fluid
product consumptions. For example, external scheduling may require a particular consumer
unit using an air separation product to operate regularly or over a specific time.
[0016] In embodiments of the method, activating and/or deactivating is carried out as a
function of a plurality of predetermined cost parameters. The predetermined cost parameters
can include the number of fluid products, production prices of the fluid products,
load boundaries for the air separation plant units, load changing speeds for the air
separation plant units, shutdown costs for the air separation plant units and/or shutdown
state transition cycle numbers of the air separation plant units. One can also contemplate
of predetermined cost parameters associated to storage units.
[0017] In one embodiment of the method, the linear model for describing the production system
is a mixed-integer linear programming algorithm. A mixed-integer linear programming
(MILP) process can easily be implemented in terms of an algorithm.
[0018] Embodiments of the method and the system can assist a production manager's or operator's
decision-making based on an analytical algorithm that takes into account current and
future production prices, heuristic simplified plant models and production forecasts.
The control method or an accordingly implemented production system can run in parallel
to real-time closed-loop control algorithms that may influence the optimization and
operation of the individual plant units. The proposed method and system, however,
employs a linear optimization technique wherein a non-linear complex-scheduling problem
is simplified to piecewise afine linear problems. Instead of using complicated thermodynamic
plant descriptions, generalized heuristic models are used to describe the respective
air separation plant units' closed-loop behavior. The closed-loop behavior in terms
of integer linear models can be used as constraints in the linear optimization problem.
[0019] It is an advantage of the method and system that only a few adjustment parameters
for the linear optimization program is used. One can include the energy consumption
optimization of the system's operation during start-up and include future or estimated
consumer consumption rates as parameters for the linear model. The start-up costs
of the air separation plant network and the operational costs can be considered contemporaneously
in terms of the linear model. The methods and production systems provide an efficient
load balancing and unit commitment approach for air separation processes.
[0020] Further, a computer program product for controlling a production system for air separation
processes is disclosed. The computer program product comprises a computer-readable
storage medium having computer-readable program code embodied therewith, the computer-readable
program code comprising computer-readable program code configured to control an activation
and/or deactivation of the air separation units as a function of a linear model describing
the production system.
[0021] The program code may be configured to implement further aspects or steps of the method
for controlling or operating the production system. The computer program product,
for instance, includes computer readable code for implementing aspects of the method
for controlling or operating a production system depicted above.
[0022] Certain embodiments of the presented method and system may comprise individual or
combined features or aspects as mentioned above or below with respect to exemplary
embodiments.
BRIEF DESCRIPTION OF THE DRAWINGS
[0023] In the following, embodiments of a production system and methods for operating a
production system are described with reference to the enclosed drawing.
[0024] It is understood that the term "fluid" can refer to a gaseous or liquid medium, such
as fluid air can be gaseous air or liquid air depending on the temperature and pressure
conditions.
[0025] Figure 1 shows a schematic diagram of an embodiment of a production system for air
separation processes. The production system 1 comprises a plurality of air separation
plant units 11...1N. Each air separation plant unit 11...1N is implemented to produce
at least one fluid product. A fluid product can be, for example, oxygen (LOX, GOX),
nitrogen (LIN, GAN), hydrogen and rare gas components of air, such as argon (LAR,
GAR) and helium. The air separation plant units 11...1N employ industrial processes,
such as cryogenic air separation. The air separation plant units 11...1N are coupled
through a pipeline or conduit network 5 to respective consumer units 31...3P.
[0026] The consumer units 31...3P can be industrial plants that need one or more of the
air separation products. The consumer units 31...3P are also coupled to the pipeline
or fluid distribution network 5. Although the Fig. shows single conduit lines, a plurality
of lines can be coupled to the consumers furnishing specific liquid or gaseous products.
[0027] The production system 1 further comprises storage units 21...2M that are coupled
to the pipeline network 5. The storage units 21...2M can be used as reservoirs for
storing one or more of the air separation products. The pipeline distribution network
5 is indicated as a manifold of conduits 4 that can be implemented according to the
needs and logistic constraints of the production site. Although, single lines are
drawn in the Fig. an extended tube or pipeline network can be contemplated. Additional
means for transporting liquid or gaseous products can be added. E.g. trucks, tank
ships or the like can be regarded as part of the distribution network between units.
[0028] The air separation plant units 11...1N must meet the demand or consumption of the
consumer units 31...3P. The consumer units 31...3P and storage units 21...2M draw
gaseous or liquid product from the network 5. The flow of product or pressures in
the manifold 4 or individual lines in the network 5 can be metered by appropriate
sensors. Further, the product levels in the storage units 21...2M can be monitored
by sensors. Additionally, the energy demand of the air separation plant units 11...1N
can be monitored. Sensor signals and/or control lines for transferring data relating
to the operational state of the system are indicated as dashed lines. One can contemplate
of a sensor network for obtaining parameters or variables relating to the production
system.
[0029] The production system 1 comprises a control unit 2 that is implemented, for example
as a computer-programmable device. The control unit 2 can be considered a scheduling
or unit commitment control device. The control unit 2 is communicatively coupled to
the air separation plant units 11...1 N to the storage units 21 ... 2M and the consumer
units 31...3P. The dashed lines in the Fig. indicate control and/or sensor signals
or control lines coupled to the control unit 2. The control unit 2 operates and controls
the production system 1 according to a linear model that takes into account the operational
statuses of the units and/or product demands.
[0030] In particular, each air separation plant unit 11...1N is considered in terms of a
heuristic simplified plant model that takes into account the closed-loop behavior
of each air separation plant unit 11...1 N. The air separation plant units 11...1
N are generally operated individually according to a more complex closed-loop control
process. Each air separation plant unit 11...1N can include dedicated control circuitry
for running the respective cryogenic air separation process.
[0031] The control unit 2 can receive parameters referring to flow, pressure or other physical
characteristics in the pipeline system 5 and the energy consumption of the air separation
plant units 11...1N or an estimated consumption of the consumer units 31...3P. The
control unit 2 may receive additional parameters 6 describing characteristics of the
productions system 1, e.g. energy needed to power up certain air separation plant
units, the number of products, valve statuses in the manifold, error messages, expected
product consumption of consumers, limitations with respect to available energy etc.
[0032] The control unit 2 uses a linear model 3 for the production system 1. For example,
a computer-implemented method for controlling can be realized as disclosed in
A. Borghetti et al. "An MILP Approach for Short-Term Hydro Scheduling and Unit Commitment
With Head-Dependent Reservoir" in IEEE Transactions on Power Systems, Vol. 23, No.
3. August 2008. In general, parameters p
i(t) (e.g. start-up costs for air separation plant units, load changing times...) and
variables v
j(t) (e.g. energy or power consumption of air separation plant units, production rates...)
are used, wherein the variables are subject to linear constraints c: c
jl < v
j < c
jm (e.g. a heuristic model for an air separation plant unit) and time steps or periods
t. The parameters and variables are numbered according to sets j ∈ J,i ∈ I, and t
∈ T. An objective function is a linear function in the parameters and variables, e.g.

[0033] One can further simplify the objective function by a piecewise linear approximation
and find the optimum values for a
i and bj under the constraints c. Preferably, a cost efficient operation of the production
system is calculated and the plant units 11...1N are scheduled accordingly.
[0034] An operator of the plant network 1 can be assisted by displaying optimized operation
modes of the system 1, as a function of the (analytical) linear model. The optimized
mode may take into account future production prices, the heuristic simplified plant
models, production forecasts, load changing speeds, and shutdown costs. Various operational
statuses of the air separation plant units can be used as well.
[0035] It is an advantage that the control unit does not need to carry out complex non-linear
algorithms or implement model predictive controllers, real-time optimization programs
or other complicated scheduling methods conventionally used for load balancing. When
operating the production system, one may use load changing or automatic start-up routines,
that are efficiently taken into account in the linear model by heuristic simplified
models. For example, electric energy load-balancing or energy producers can be considered
as well. This leads to a lean control unit having reduced calculational requisites
in terms of power and memory requirements compared to conventional scheduling and
unit commitment systems.
[0036] Though, mainly illustrated in connection with a production system for air separation
processes it will be appreciated that the disclosed methods and system can be employed
in a variety of alternative scenarios. For example, the approach of using a linear
model for controlling a commitment and/or production process, can also assist in applications
of management science like scheduling airlines, including both planes and crew, deciding
the appropriate place to site new facilities such as a warehouse, factory or fire
station, managing the flow of water from reservoirs, identifying possible future development
paths for parts of the telecommunications industry, establishing the information needs
and appropriate systems to supply them within the health service. One can further
contemplate other applications.
[0037] Used reference characters:
- 1
- production system
- 11...1 N
- plant unit
- 2
- control unit
- 21...2M
- storage
- 3
- linear model
- 31...3P
- consumer unit
- 4
- manifold
- 5
- distribution network
- 6
- system parameters
1. A method for operating a production system (1) for air separation processes comprising:
a plurality of air separation plant units (11...1N) wherein an air separation plant
unit (11...1N) is implemented to provide at least one fluid product;
a plurality of consumer units (31... 3P) wherein a consumer unit (31... 3P) is implemented
to receive and use at least one of the products according to a demand associated with
the consumer unit (31...3P); and
wherein the air separation plant units (21...2N) and the consumer units (31...3P)
are communicatively coupled through a manifold (5) of conduits; the method comprising
the step of:
activating and/or deactivating the air separation plant units (11... 2N) as a function
of a linear model (3) describing the production system (1).
2. The method of claim 1, further comprising: operating each air separation plant unit
(11...1N) independently from one another according to a closed-loop control process.
3. The method of claim 1 or 2, wherein activating and/or deactivating comprises:
minimizing a production cost as a function of linear constraints associated to the
air separation plant units (1...1N).
4. The method of any one of claims 1 - 3, further comprising: associating a heuristic
model to each air separation plant unit (1...1N).
5. The method of any one of claims 1 - 4, further comprising: setting a predetermined
fluid product consumption to each consumer unit (31...3P) over a predetermined time,
wherein activating and/or deactivating is carried out as a function of the predetermined
fluid product consumptions.
6. The method of any one of claims 1 - 5, wherein activating and/or deactivating is carried
out as a function of a plurality of predetermined cost parameters, the predetermined
cost parameters including the number of fluid products, production prices of the fluid
products, load boundaries for the air separation plant units (11...1N), load changing
speeds for the air separation plant units (11...1N), shutdown costs for the air separation
plant units (11...1N) and/or shutdown state transition cycle numbers for the air separation
plant units (11...1N).
7. The method of any one of claims 1 - 6, wherein the system comprises at least one storage
unit (21...2M) implemented to receive and store fluid product from the manifold of
conduits (5) and/or implemented to feed fluid product into the manifold of conduits
(5), the method further comprising: associating predetermined cost parameters to the
storage means (21...2M).
8. The method of any one of claims 1 - 7, wherein the linear model (3) describing the
production system (1) includes a mixed-integer linear programming (MILP) algorithm.
9. A production system (1) for air separation processes comprising:
a plurality of air separation plant units (11...1N) wherein an air separation plant
unit (11...1N) is implemented to provide at least one fluid product;
a plurality of consumer units (31...3P) wherein a consumer unit (31...3P) is implemented
to receive and use at least one of the products according to a demand associated with
the consumer unit (31...3P);
wherein the air separation plant units (11...1N) and the consumer units (31...3P)
are communicatively coupled through a manifold (5) of conduits; and
a control unit (2) for activating and/or deactivating the air separation plant units
(21...2N) as a function of a linear model (3) describing the production system (1).
10. The system of claim 9, wherein each air separation plant unit (11...1N) is adapted
to operate according to a closed-loop control independently from one another.
11. The system of claim 9 or 10, wherein the fluid product is at least one of, liquid
oxygen (LOX,GOX), nitrogen (LIN,GAN), or a rare gas component of air.
12. The system of any one of claims 9 - 11, wherein the control unit (2) is implemented
to carry out a method of any one of claims 1 - 8.
13. The system of any one of claims 9 - 12, comprising at least one storage unit (21...2M)
implemented to receive and store fluid product from the manifold of conduits (5) and/or
implemented to feed fluid product into the manifold of conduits (5).
14. The system of any one of claims 9 - 13, comprising a plurality of sensor units for
monitoring operation parameters of the air separation plant unit (11...1N), the consumer
units (31...3P) and/or the storage units (21...2M).
15. A computer program product, implemented to carry out a method of any one of claims
1 - 8 when loaded into a programmable control unit (2) for a fluid production system.