Space mapping is a concept for modeling and optimization of an engineering system to highfidelity fine model accuracy exploiting a suitable physically meaningful coarse or surrogate model. Neuromodeling of microwave circuits exploiting space. Space mapping optimization intelligently links companion coarse and fine models of different complexities, e. Space mapping and neurospace mapping for microwave design. Biernacki, space mapping technique for electromagnetic optimization, ieee trans microwave theory tech 42 1994, 25362544. Optimization of spiral inductors and lc resonators exploiting. The space mapping technique is intended for optimization of engineering models. Tuning space mapping tsm is one of the latest developments in space mapping technology. Introduction anovel algorithm for aggressive space mapping asm optimization 1 is introduced. Space mapping technique for electromagnetic optimization microwave the ory and techniques, ieee transactions on author.
If a large number of direct problems have to be solved, then the overall computational effort can be expensive. The spacemapping techniques allow having an affordable computation cost with a minimum number of computationally expensive fem evaluations. Besides the expensive model of primary interest denoted the fine model, access to a cheaper coarse model is assumed which may be less accurate. Fdsmn, and frequency space mapped neuromo deling fsmn. This paper proposes a novel technique to develop a lowcost electromagnetic em centric multiphysics parametric model for microwave components. May 01, 2014 this work presents an efficient method for the design of substrate integrated waveguide siw filters. The space mapping techniques allow having an affordable computation cost with a minimum number of computationally expensive fem evaluations. Space mapping technology with applications in embased device. Hemmers, space mapping technique for electromagnetic optimization, ieee trans. Space mapping based derivativefree optimization framework for supply chain optimization.
Space mapping technique for electromagnetic optimization. Electromagnetic optimization exploiting aggressive space. Space mapping technology with applications in embased. Huber optimization is proposed to train the neuro space mapping nsm. A trust region aggressive space mapping algorithm for em. The space mapping sm technique 2 introduced a very efficient approach to carry out the computational expensive em based optimizing problem. Electromagnetic nondestructive tests are important and widely used within the field of nondestructive evaluation nde. The space mapping technique is intended for optimization of engineering models which involve very expensive function evaluations. Index terms cad, electromagnetic simulation, monte carlo analysis, microwave. Design of an asymmetric branchline coupler using implicit. Several approaches based on the space mapping technique 5, 6 and a few other methods. In this paper, based on a kriging model, a 2d fem and a 3d fem, a 3level adapted output space mapping technique is employed.
To find the architecture type and number of processors, memory modules, and communication mechanism, as well as their interconnections, the mapping of functionality onto the architecture components, and. The recent advances in sensing technology, hardware and software development dedicated to imaging and image processing, and material sciences have greatly expanded the application fields, sophisticated the systems design and made the potential of electromagnetic. Space mapping, optimization algorithms, filter design, parameter extraction. For the first time, we develop an optimization technique for the design of spiral inductors and lc resonators exploiting both the computational efficiency of a cheap circuit model and the accuracy of a fullwave em analysis, based on geometric programming gp. It embeds commercial maxwell solvers within a steepestdescent inversedesign optimization algorithm. A spacemapping framework for engineering optimizationtheory and. Here, we propose a space mappingbased approximation of the stochastic control problem by solutions of the deterministic one. Methods used so far are direct optimization techniques e. Watson 1969, 1971 the linearization is used to construct a linear program that returns a. Technical sciences and applied mathematics microwave circuit. Rayassanchez, qijun zhang, yielddriven electromagnetic optimization via space mapping based neuromodels, rf and microwave computeraided engineering volume 12, number 1, january 2002, pp.
In this paper, based on a kriging model, a 2d fem and a 3d fem, a 3level adapted output spacemapping technique is employed. Space mapping technique for electromagnetic optimization abstract. The authors present efficient space mapping sm modelling of microwave devices where they assume a tight limit on the number of highfidelity electromagnetic em simulations available to set up a suitable model. Fast optimization of an ipmsm with space mapping technique. Space mapping based derivativefree optimization framework. Jonathan hey research scientist singapore institute of. By using a spacemappingbased modeling and design technique for handset antennas, it is possible to achieve significant time savings over direct embased optimization. Optimization problems of sorts arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has.
An efficient algorithm for design optimization of structures simulated using sonnet em is. Optimisation in electromagnetics with the spacemapping technique. The idea of space mapping is to establish a mapping between the spaces of the em based fine model and an inaccurate but faster coarse model. In order to improve the performance of a 5 th order microwave bandpass coaxial filter design, an efficient optimization method is proposed based on cauchy method and aggressive space mapping asm. The finite element magnetic fine model is replaced by an analytical coarse model during optimization using an output space mapping technique. Space mapping and neurospace mapping for microwave. Space mapping outpaces em optimization in handsetantenna design. Space mapping sm has been one of the most popular surrogatebased optimization techniques in microwave engineering to date. By exploiting the knowledge embedded in the underlying coarse model e.
This technique is demonstrated by the optimization of a microstrip structure for which a convenient analyticalempirical model is assumed to be unavailable. Keywords magnetic devices, optimization techniques, finite element analysis. We present an adjointbased optimization for electromagnetic design. Technical sciences and applied mathematics microwave. We describe the novel useroriented software package smf that implements. Comparison of three space mapping techniques on electromagnetic design optimization article in compel international journal of computations and mathematics in electrical 371. Mathematical optimization alternatively spelt optimisation or mathematical programming is the selection of a best element with regard to some criterion from some set of available alternatives. Space mapping aims at aligning two different simulation models. For the first time, we develop an optimization technique for the design of spiral inductors and lc resonators exploiting both the computational efficiency of a cheap circuit model and the accuracy of a fullwave em analysis, based on geometric programming gp and space mapping sm. By using a space mapping based modeling and design technique for handset antennas, it is possible to achieve significant time savings over direct embased optimization. The fine model utilizes the fullwave electromagnetic. Fdsmn, and frequencyspacemapped neuromo deling fsmn.
We show how the mapping can be used to carry out monte carlo analysis using only coarse model simulations. In the first stage, the standard sm surrogate is enhanced by a functional approximation layer using coarsemesh em simulation data. A twostage optimization method is used to search for a global solution, followed by a feasible solution locally using a branch and bound method. We also discuss a software package for automated spacemapping optimization that involves both electromagnetic em and circuit simulators. Applications of space mapping optimization technology to. Space mapping for electromagneticsimulationdriven design. Mathematical optimization wikimili, the best wikipedia. This model is used in an intensive way by a traditional optimization algorithm, based for example on the sqp sequential. Zhang2 1mcmaster university, hamilton, canada 2carleton university, ottawa, canada abstract space mapping sm is one of the most recognized new developments in microwave cad in recent years. The spacemapping approach and recently introduced manifoldmapping technique offer a significant reduction in cpu time for engineering device optimization. Electromagnetic actuator design analysis using a twostage. Flow chart for the space mapping sm optimization technique. Synthesis of planar microwave circuits through aggressive.
Beginning with space mapping conditions we can present some software for optimization algorithms applied on microwave rlc oscillator circuits. Electromagnetic optimization of 3d structures microwave. Software the toolbox is available as the zip archive spacemap. Optimization using the technique of implicit spatial mapping. Tsm algorithms offer a remarkably fast design optimisation with satisfactory results obtained after one or two iterations, which amounts to just a few electromagnetic simulations of the optimised microwave structure.
Huber optimization is proposed to train the neurospacemapping nsm. Rapid design optimisation of microwave structures through. Space mapping toolbox technical university of denmark. Space mapping optimization belongs to the class of surrogatebased optimization methods, that is to say, optimization methods that rely on a surrogate model. The results of the various output parameters that will be the subject of optimization, in the case of the coupler are the s11, s12, s and s14 coefficients are stored in a block made for this purpose fig. Electromagnetic imaging methods for nondestructive. Fast optimization of a linear induction motor by 3level. This is an easy space mapping technique to implement since the mapping itself is embedded in the calibrated coarse model and updated automatically in the procedure of parameter extraction. Electromagnetic optimization exploiting aggressive space mapping. The proposed design approach is based on a combined use of equivalent circuit model of a filter and a space mapping technique. The inaccuracies associated with the coarse model can be reduced by using a mapping function with iterative parameter.
Space mapping technique for electromagnetic optimization, ieee trans. The space mapping concept intelligently links companion coarse and fine engineering models of different complexities, e. Computational electromagnetic modeling cem software is widely used to model antennas. Such a model can be derived from an analytical or a coarse model through a mapping function. An introduction to the space mapping technique springerlink. Hence, in the space mapping technique, applied on microwave oscillators circuits, mapped coarse model is to take the place of the fine model in search for a minimizer model. Ieee transactions on microwave theory and techniques, 42 12 1994, pp. It overcomes the limitations of speed and accuracy in conventional. Hemmersspace mapping technique for electromagnetic optimization. Optimization of spiral inductors and lc resonators. This work presents an efficient method for the design of substrate integrated waveguide siw filters.
Surrogatebased modeling and optimization, 99120, 20. A framework for efficient automated optimal design of. The authors also apply the aggressive space mapping sm technique to the optimization of multistep waveguide transformers. This contribution describes the space mapping sm technique which is relevant to engineering optimization. Its true potential in the area of magnetic systems and actuator design is still rather unexplored. General principles of output space mapping methods the coarse model must be built in order to quickly compute the actuator performances outputs. Efficient design of siw filters with knowledgeembedded. Control of stochastic interacting particle systems is a nontrivial task due to the high dimensionality of the problem and the lack of fast algorithms. The optimization problem the majority of design space exploration tasks can be viewed as optimization problems. Optimization problems of sorts arise in all quantitative disciplines from computer science and engine. Introduction a powerful new concept in neuromodeling of microwave circuits based on space mapping technology is presented. We employ electromagnetic field simulation and develop a lookup table method and a powerful space mapping optimization technique, which dramatically reduce the cpu time for the design process. Here, we propose a space mapping based approximation of the stochastic control problem by solutions of the deterministic one. The techni ques are illustrated by a microstrip right angle bend.
In combination with the receding horizon control technique this yields a reliable and fast numerical scheme for the. Traditional optimization techniques bandler and chen, 1988a directly utilize the simulated. Space mapping ism 68, it is a non linear optimization, this technique was introduced by bandler 910. This paper aims to investigate three lowevaluationbudget optimization techniques. Efficient design of siw filters with knowledgeembedded space. Radialbasisfunction neural network optimization of. The optimization algorithms together with the interconnection of two commercially available software packages are.
Similarly, we propose structures line couplers but with different terminations, which the theory couplers developed in the. The design inputs include geometry, material, and winding. Space mapping technique for electromagnetic optimization 1994. Rayassanchez, qijun zhang, yielddriven electromagnetic optimization via space mappingbased neuromodels, rf and microwave computeraided engineering volume 12, number 1, january 2002, pp. Space mappingbased receding horizon control for stochastic. Efficient computational procedures linked with advanced em solvers should become powerful and flexible cad tools revolutionizing the design of mw systems. We offer space mapping sm, a fundamental new theory to circuit optimization utilizing a parameter space transformation. This paper describes a space and manifoldmapping framework for efficient automated design of electromagnetic actuators.
The automated em optimization process is illustrated by the design of waveguide mitered bends. The sm technique utilizes different models of the same physical object. Krigingosm is an original approach having highorder mapping. Space mapping sm is a technique that makes use of a surrogate model in place of the. Space mapping outpaces em optimization in handsetantenna. This provides additional properties that help in proving convergence of the optimization approach. Various algorithms and design optimization problems, related to microwave devices, antennas and electronic circuits, are presented in numerous publications. Mathematical optimization alternatively spelled optimisation or mathematical programming is the selection of a best element with regard to some criterion from some set of available alternatives. The efficiency of difference mapping in space mappingbased optimization. Bandler, et al design optimization of interdigital.
Space mapping modelling of microwave devices using multifidelity electromagnetic simulations. Neuromodeling of microwave circuits exploiting space mapping. The tsm algorithms as exemplified by type1 tuning could be simply implemented. Electromagnetically validated design optimization of microwave components and antennas has made extensive use of an appropriate physicsbased or empirical surrogate model and space mapping methodologies since the discovery of space mapping in 1993. Genetic algorithm based multiobjective optimization of. In the proposed method, we use space mapping techniques to combine the computational efficiency of em single physics em only simulation with the accuracy of the multiphysics simulation.
Optimization techniques for design space exploration. The space mapping technique has been applied in a variety of disciplines including microwave and electromagnetic design, civil and mechanical applications, aerospace engineering, and. Hemmers, space mapping technique for electromagnetic optimiza tion, ieee. For automation, electromagnetic em simulation, em optimization, complex problems, this cost may be prohibitive. In this paper, we present the spacemapping sm technique which aims at speeding up such procedures by. Index terms design automation, electromagnetic analysis. The phd thesis of jacob sondergaard, optimization using surrogate models by the space mapping technique 2003 describes aspects of space mapping theory.
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