Optimization with Time and Frequency Constraints Using Automatic Differentiation: Application to an Aircraft Electrical Power Channel
The ordinary differential equations used to model a dynamic system can evolve during the simulation in circumstances where unpredictable events occur, more specifically, in regard to the domain of power electronics, for example, static converters will exhibit natural switching. Optimal sizing, on to...
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MDPI AG
2025-03-01
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| Online Access: | https://www.mdpi.com/2076-3417/15/7/3624 |
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| author | Lucas Agobert Laurent Gerbaud Benoit Delinchant |
| author_facet | Lucas Agobert Laurent Gerbaud Benoit Delinchant |
| author_sort | Lucas Agobert |
| collection | DOAJ |
| description | The ordinary differential equations used to model a dynamic system can evolve during the simulation in circumstances where unpredictable events occur, more specifically, in regard to the domain of power electronics, for example, static converters will exhibit natural switching. Optimal sizing, on top of developing such a model, is a significant challenge for designers, particularly due to the complexity of incorporating efficiently both time-domain and frequency-domain constraints and objectives. This paper presents a methodology and tool to address this issue, leveraging a ‘white-box’ modeling approach, with automatic gradient computation. An efficient optimizer is coupled with a differential equation solver, capable of leveraging automatic differentiation and symbolic derivation, leading to both faster and more accurate outcomes than alternative methods. Furthermore, the developed solver incorporates original functionalities that are crucial for optimization, such as the ability to automatically detect the steady state and extract time-domain and frequency-domain features from the simulations to be optimized or constrained. The methodology is demonstrated through its application in regard to the optimal design of an aircraft electrical power channel. |
| format | Article |
| id | doaj-art-d922de01fbc34fa4b27083348a550d4e |
| institution | DOAJ |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-d922de01fbc34fa4b27083348a550d4e2025-08-20T03:08:44ZengMDPI AGApplied Sciences2076-34172025-03-01157362410.3390/app15073624Optimization with Time and Frequency Constraints Using Automatic Differentiation: Application to an Aircraft Electrical Power ChannelLucas Agobert0Laurent Gerbaud1Benoit Delinchant2Univ. Grenoble Alpes, CNRS, Grenoble INP*, G2Elab, 38000 Grenoble, FranceUniv. Grenoble Alpes, CNRS, Grenoble INP*, G2Elab, 38000 Grenoble, FranceUniv. Grenoble Alpes, CNRS, Grenoble INP*, G2Elab, 38000 Grenoble, FranceThe ordinary differential equations used to model a dynamic system can evolve during the simulation in circumstances where unpredictable events occur, more specifically, in regard to the domain of power electronics, for example, static converters will exhibit natural switching. Optimal sizing, on top of developing such a model, is a significant challenge for designers, particularly due to the complexity of incorporating efficiently both time-domain and frequency-domain constraints and objectives. This paper presents a methodology and tool to address this issue, leveraging a ‘white-box’ modeling approach, with automatic gradient computation. An efficient optimizer is coupled with a differential equation solver, capable of leveraging automatic differentiation and symbolic derivation, leading to both faster and more accurate outcomes than alternative methods. Furthermore, the developed solver incorporates original functionalities that are crucial for optimization, such as the ability to automatically detect the steady state and extract time-domain and frequency-domain features from the simulations to be optimized or constrained. The methodology is demonstrated through its application in regard to the optimal design of an aircraft electrical power channel.https://www.mdpi.com/2076-3417/15/7/3624automatic differentiationdynamic systemsfrequency analysisSQP optimizationpower electronics channel in aircraftODE solving |
| spellingShingle | Lucas Agobert Laurent Gerbaud Benoit Delinchant Optimization with Time and Frequency Constraints Using Automatic Differentiation: Application to an Aircraft Electrical Power Channel Applied Sciences automatic differentiation dynamic systems frequency analysis SQP optimization power electronics channel in aircraft ODE solving |
| title | Optimization with Time and Frequency Constraints Using Automatic Differentiation: Application to an Aircraft Electrical Power Channel |
| title_full | Optimization with Time and Frequency Constraints Using Automatic Differentiation: Application to an Aircraft Electrical Power Channel |
| title_fullStr | Optimization with Time and Frequency Constraints Using Automatic Differentiation: Application to an Aircraft Electrical Power Channel |
| title_full_unstemmed | Optimization with Time and Frequency Constraints Using Automatic Differentiation: Application to an Aircraft Electrical Power Channel |
| title_short | Optimization with Time and Frequency Constraints Using Automatic Differentiation: Application to an Aircraft Electrical Power Channel |
| title_sort | optimization with time and frequency constraints using automatic differentiation application to an aircraft electrical power channel |
| topic | automatic differentiation dynamic systems frequency analysis SQP optimization power electronics channel in aircraft ODE solving |
| url | https://www.mdpi.com/2076-3417/15/7/3624 |
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