EP1145171A2 - Method and arrangement for designing a technical system - Google Patents
Method and arrangement for designing a technical systemInfo
- Publication number
- EP1145171A2 EP1145171A2 EP99936427A EP99936427A EP1145171A2 EP 1145171 A2 EP1145171 A2 EP 1145171A2 EP 99936427 A EP99936427 A EP 99936427A EP 99936427 A EP99936427 A EP 99936427A EP 1145171 A2 EP1145171 A2 EP 1145171A2
- Authority
- EP
- European Patent Office
- Prior art keywords
- parameters
- determined
- technical system
- design
- vector
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Withdrawn
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/04—Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
Definitions
- the invention relates to a method and an arrangement for designing a technical system.
- the object of the invention is to provide a method and an arrangement for designing a technical system, at least in the context of multi-target optimization a parameter vector is determined, which is a solution with sufficient good with regard to the design of the technical system.
- each target function preferably of a predetermined set of n parameters
- a parameter vector x can be influenced.
- Each target function is also provided with a weight parameter.
- parameters for the design of the technical system are determined. These parameters preferably represent a so-called efficient parameter vector of the technical system.
- the technical system is optionally designed, which results in the described determination of the parameter vector with n parameters, or a parameter vector of an already implemented system is designed by determining a parameter vector for the existing system with regard to the given target functions, which parameter vector has a high Guaranteed good of the system.
- a parameter vector (as an operating parameter of the system or a design parameter for the system) cannot be implemented, which is why an alternative solution is indispensable.
- the invention enables an automatic generation of a number of alternative solutions, the ede of which represents an efficient implementation with regard to the setting or design of the technical system or the technical system.
- ⁇ denotes a transposed vector with k weight parameters
- f denotes a vector with k target functions.
- the k objective functions tension while a k-space aauuff .. eess wwiirrdd eeiinn eerrsstteerr VVeekkttoorr xx ss mmii "t parameter values determined by the equation system
- a new vector ct new with weight parameters is determined by the relationship
- target functions are costs caused by the system, exhaust gas emissions, probability of failure and efficiency of the technical system.
- a further development consists in that iteratively along further directions ⁇ p (with p as an index for each of the further directions) in each case for each direction
- Parameter vector for the design of the technical system is determined. This can be done in an automated manner, in that in each case a stable one in each direction ⁇
- One embodiment of the invention is that a numerical method, for example the Newton method, is used to solve the systems of equations.
- the technical system is implemented or set on the basis of the determined parameters. This has the advantage that the parameters m of a parameter vector, which was determined by means of the invention, identify a stable operating point and the setting of the system to this operating point ensures a safe state of the system.
- parameters of the target function can be operating parameters or design parameters.
- Operating parameters identify possible adjustable sizes, while design parameters in particular identify physical dimensions of the technical system and cannot be adapted or changed at all or only with great effort during operation.
- the technical system has a predetermined set of k target functions
- m a parameter vector x, can be influenced.
- each target function is provided with a weight parameter.
- parameters for the design of the technical system are determined, which parameters in particular the stability of the technical
- the arrangement with the processor unit is designed such that the following steps can be carried out:
- a global target function is specified in accordance with equation (1), the technical system having a predetermined set of k target functions and each target function being able to be influenced by a set of n parameters (collectively m a parameter vector x);
- Parameter vector (stationary parameter values for this parameter vector) is determined by determining an approximation parameter vector x using equation (4), this approximation parameter vector x as a starting value for a method for solving the non-linear
- This arrangement is particularly suitable for carrying out the method according to the invention or a further development described above.
- Fig.l is a block diagram with steps to design a technical system
- FIG. 2 shows a processor unit
- Fig.l shows a block diagram with steps to design a technical system.
- the technical system comprises a predetermined set of k target functions, one target function representing the costs for the technical system, another target function representing the efficiency of the technical system.
- Each objective function comprises a set of n parameters, these parameters being combined as a parameter vector.
- the parameters (also: parameter values) are, in particular, operating parameters or design parameters.
- a first (parameter) vector x s is determined by solving equation (2).
- a numerical method for non-linear optimization for example the BFGS variant of the quasi-Newton method (cf. [1]), is used in particular for this solution.
- an approximation value (approximation parameter vector) x is determined.
- This approximate value x serves as the starting value for a method for solving a non-linear system of equations according to equation (5)
- Step 105 shows the determination of the parameters for the design of the technical system from the solution of equation (5).
- Lagrangian multipliers ⁇ 1 (with ⁇ l, 2, ..., m + r) and rr slip variables. These slip variables are suitable for obtaining equations from inequalities in accordance with equation (7), in particular in the form
- step 101 there is now a system of equations
- Vg ⁇ ( ⁇ ) - ⁇ ⁇ _L Vh x (x) o: n equations
- Equation (8) is to be used instead of F m equation (4) in order to obtain the approximate value (approximation parameter vector) x. Likewise, the
- the processor unit PRZE comprises a processor CPU, a memory SPE and an input / output interface IOS, which is used in different ways via the interface IFC: an output is visible on a monitor MON and / or on a printer via a graphic interface PRT issued. An entry is made using a mouse MAS or a keyboard TAST.
- the processor unit PRZE also has a data bus BUS, which ensures the connection of a memory MEM, the processor CPU and the input / output interface IOS.
- additional components can be connected to the data bus BUS, for example additional memory, data storage (hard disk) or scanner.
Landscapes
- Engineering & Computer Science (AREA)
- Business, Economics & Management (AREA)
- Human Resources & Organizations (AREA)
- Economics (AREA)
- Strategic Management (AREA)
- Marketing (AREA)
- Game Theory and Decision Science (AREA)
- Entrepreneurship & Innovation (AREA)
- Development Economics (AREA)
- Operations Research (AREA)
- Quality & Reliability (AREA)
- Tourism & Hospitality (AREA)
- Physics & Mathematics (AREA)
- General Business, Economics & Management (AREA)
- General Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Feedback Control In General (AREA)
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
Abstract
Description
Claims
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
DE19827024 | 1998-06-17 | ||
DE19827024 | 1998-06-17 | ||
PCT/DE1999/001672 WO1999066434A2 (en) | 1998-06-17 | 1999-06-07 | Method and arrangement for designing a technical system |
Publications (2)
Publication Number | Publication Date |
---|---|
EP1145171A2 true EP1145171A2 (en) | 2001-10-17 |
EP1145171A3 EP1145171A3 (en) | 2002-09-11 |
Family
ID=7871187
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
EP99936427A Withdrawn EP1145171A3 (en) | 1998-06-17 | 1999-06-07 | Method and arrangement for designing a technical system |
Country Status (2)
Country | Link |
---|---|
EP (1) | EP1145171A3 (en) |
WO (1) | WO1999066434A2 (en) |
Families Citing this family (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
DE10011607A1 (en) * | 2000-03-10 | 2001-09-20 | Siemens Ag | Operating method for technical system enabling intelligent operating parameter setting for technical system with several system parts for optimal system operation |
DE10029833A1 (en) * | 2000-06-16 | 2002-01-03 | Infineon Technologies Ag | Quasi-periodic stationary state determination for technical system involves obtaining general and particular solutions to differential algebraic equation |
DE10237335A1 (en) | 2002-08-14 | 2004-01-08 | Siemens Ag | Process and arrangement for the design of a technical system |
Family Cites Families (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4918643A (en) * | 1988-06-21 | 1990-04-17 | At&T Bell Laboratories | Method and apparatus for substantially improving the throughput of circuit simulators |
JPH0271358A (en) * | 1988-09-07 | 1990-03-09 | Hitachi Ltd | Non-linear optimization system |
US5195026A (en) * | 1989-09-12 | 1993-03-16 | Hitachi, Ltd. | Method and apparatus for computer controlled nonlinear optimization |
US5159562A (en) * | 1990-07-31 | 1992-10-27 | Westinghouse Electric Corp. | Optimization of a plurality of multiple-fuel fired boilers using iterated linear programming |
-
1999
- 1999-06-07 EP EP99936427A patent/EP1145171A3/en not_active Withdrawn
- 1999-06-07 WO PCT/DE1999/001672 patent/WO1999066434A2/en not_active Application Discontinuation
Non-Patent Citations (1)
Title |
---|
See references of WO9966434A3 * |
Also Published As
Publication number | Publication date |
---|---|
EP1145171A3 (en) | 2002-09-11 |
WO1999066434A3 (en) | 2001-09-07 |
WO1999066434A2 (en) | 1999-12-23 |
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Legal Events
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