This model is used in an intensive way by a traditional optimization algorithm, based for example on the sqp sequential. The space mapping technique has been applied in a variety of disciplines including microwave and electromagnetic design, civil and mechanical applications, aerospace engineering, and. Introduction anovel algorithm for aggressive space mapping asm optimization 1 is introduced. Jonathan hey research scientist singapore institute of.
Space mapping technique for electromagnetic optimization 1994. The sm technique utilizes different models of the same physical object. Index terms cad, electromagnetic simulation, monte carlo analysis, microwave. May 01, 2014 this work presents an efficient method for the design of substrate integrated waveguide siw filters. The inaccuracies associated with the coarse model can be reduced by using a mapping function with iterative parameter. Design of a siliconbased wideband bandpass filter using. Genetic algorithm based multiobjective optimization of.
Krigingosm is an original approach having highorder mapping. Traditional optimization techniques bandler and chen, 1988a directly utilize the simulated. By exploiting the knowledge embedded in the underlying coarse model e. A spacemapping framework for engineering optimizationtheory and. Besides the expensive model of primary interest denoted the fine model, access to a cheaper coarse model is assumed which may be less accurate. Index terms design automation, electromagnetic analysis. Space mapping outpaces em optimization in handsetantenna. The design inputs include geometry, material, and winding. Keywords magnetic devices, optimization techniques, finite element analysis. Electromagnetic optimization exploiting aggressive space. Fdsmn, and frequencyspacemapped neuromo deling fsmn. 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.
Space mapping aims at aligning two different simulation models. The space mapping concept intelligently links companion coarse and fine engineering models of different complexities, e. 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 techni ques are illustrated by a microstrip right angle bend. Rayassanchez, qijun zhang, yielddriven electromagnetic optimization via space mapping based neuromodels, rf and microwave computeraided engineering volume 12, number 1, january 2002, pp. 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. Space mappingbased receding horizon control for stochastic. A framework for efficient automated optimal design of. Space mapping technique for electromagnetic optimization abstract. This algorithm through its nonlinear optimization achieves the objectives in minimum time.
Space mapping for electromagneticsimulationdriven design. Electromagnetic optimization of 3d structures microwave. 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. Space mapping ism 68, it is a non linear optimization, this technique was introduced by bandler 910. 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. 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. Efficient design of siw filters with knowledgeembedded space.
Electromagnetic imaging methods for nondestructive. Optimisation in electromagnetics with the spacemapping technique. Hemmersspace mapping technique for electromagnetic optimization. The authors also apply the aggressive space mapping sm technique to the optimization of multistep waveguide transformers. If a large number of direct problems have to be solved, then the overall computational effort can be expensive. In a number of subfields, the techniques are designed primarily for optimization in dynamic contexts that is, decision making over time. Adjoint shape optimization applied to electromagnetic design. In the first stage, the standard sm surrogate is enhanced by a functional approximation layer using coarsemesh em simulation data. Bandler, et al design optimization of interdigital. Efficient design of siw filters with knowledgeembedded. Zhang, an explicit knowledgeembedded space mapping technique and its application to optimization of ltcc rf passive circuits, ieee trans microwave theory tech 26 2003, 399406. The tsm algorithms as exemplified by type1 tuning could be simply implemented. Electromagnetic actuator design analysis using a twostage.
We describe the novel useroriented software package smf that implements. Space mapping and neurospace mapping for microwave design. Optimization of spiral inductors and lc resonators exploiting. 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. Space mapping modelling of microwave devices using multifidelity electromagnetic simulations. Hemmers, space mapping technique for electromagnetic optimization, ieee trans.
The finite element magnetic fine model is replaced by an analytical coarse model during optimization using an output space mapping technique. Huber optimization is proposed to train the neuro space mapping nsm. Tuning space mapping tsm is one of the latest developments in space mapping technology. Technical sciences and applied mathematics microwave. An introduction to the space mapping technique springerlink. Electromagnetic optimization exploiting aggressive space mapping. Technical sciences and applied mathematics microwave circuit. Design optimization of sonnetsimulated structures using. We offer space mapping sm, a fundamental new theory to circuit optimization utilizing a parameter space transformation. Here, we propose a space mappingbased approximation of the stochastic control problem by solutions of the deterministic one. Electromagnetic nondestructive tests are important and widely used within the field of nondestructive evaluation nde. Such a model can be derived from an analytical or a coarse model through a mapping function. This technique is demonstrated by the optimization of a microstrip structure for which a convenient analyticalempirical model is assumed to be unavailable. Several approaches based on the space mapping technique 5, 6 and a few other methods.
Similarly, we propose structures line couplers but with different terminations, which the theory couplers developed in the. Fdsmn, and frequency space mapped neuromo deling fsmn. Computational electromagnetic modeling cem software is widely used to model antennas. We also discuss a software package for automated spacemapping optimization that involves both electromagnetic em and circuit simulators. Its true potential in the area of magnetic systems and actuator design is still rather unexplored. This paper describes a space and manifoldmapping framework for efficient automated design of electromagnetic actuators. 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.
It embeds commercial maxwell solvers within a steepestdescent inversedesign optimization algorithm. Fast optimization of an ipmsm with space mapping technique. The space mapping sm technique 2 introduced a very efficient approach to carry out the computational expensive em based optimizing problem. This contribution describes the space mapping sm technique which is relevant to engineering optimization. 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. Efficient computational procedures linked with advanced em solvers should become powerful and flexible cad tools revolutionizing the design of mw systems. By using a spacemappingbased modeling and design technique for handset antennas, it is possible to achieve significant time savings over direct embased optimization. The efficiency of difference mapping in space mappingbased optimization. The spacemapping techniques allow having an affordable computation cost with a minimum number of computationally expensive fem evaluations. Mathematical optimization wikimili, the best wikipedia. Space mapping outpaces em optimization in handsetantenna design. 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. An efficient algorithm for design optimization of structures simulated using sonnet em is.
Here, we propose a space mapping based approximation of the stochastic control problem by solutions of the deterministic one. Optimization using the technique of implicit spatial mapping. Space mapping toolbox technical university of denmark. This paper aims to investigate three lowevaluationbudget optimization techniques. 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. Optimization techniques for design space exploration. 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. Watson 1969, 1971 the linearization is used to construct a linear program that returns a. The phd thesis of jacob sondergaard, optimization using surrogate models by the space mapping technique 2003 describes aspects of space mapping theory. Optimization problems of sorts arise in all quantitative disciplines from computer science and engine.
A trust region aggressive space mapping algorithm for em. 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. This work presents an efficient method for the design of substrate integrated waveguide siw filters. Space mapping technique for electromagnetic optimization microwave the ory and techniques, ieee transactions on author. The automated em optimization process is illustrated by the design of waveguide mitered bends. General principles of output space mapping methods the coarse model must be built in order to quickly compute the actuator performances outputs. Optimization of spiral inductors and lc resonators. Hemmers, space mapping technique for electromagnetic optimiza tion, ieee. It is assumed that two different models of the same physical system are available. For automation, electromagnetic em simulation, em optimization, complex problems, this cost may be prohibitive. Ieee transactions on microwave theory and techniques, 42 12 1994, pp. Design of an asymmetric branchline coupler using implicit. We show how the mapping can be used to carry out monte carlo analysis using only coarse model simulations. Space mapping technique for electromagnetic optimization.
This paper proposes a novel technique to develop a lowcost electromagnetic em centric multiphysics parametric model for microwave components. Space mapping sm is a technique that makes use of a surrogate model in place of the. A twostage optimization method is used to search for a global solution, followed by a feasible solution locally using a branch and bound method. Space mapping based derivativefree optimization framework for supply chain optimization. In this paper, we present the spacemapping sm technique which aims at speeding up such procedures by. 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. The optimization algorithms together with the interconnection of two commercially available software packages are. Control of stochastic interacting particle systems is a nontrivial task due to the high dimensionality of the problem and the lack of fast algorithms. In this paper, based on a kriging model, a 2d fem and a 3d fem, a 3level adapted output space mapping technique is employed. Rapid design optimisation of microwave structures through. Neuromodeling of microwave circuits exploiting space. The space mapping techniques allow having an affordable computation cost with a minimum number of computationally expensive fem evaluations. Beginning with space mapping conditions we can present some software for optimization algorithms applied on microwave rlc oscillator circuits.
Introduction a powerful new concept in neuromodeling of microwave circuits based on space mapping technology is presented. Space mapping optimization belongs to the class of surrogatebased optimization methods, that is to say, optimization methods that rely on a surrogate model. 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. The space mapping technique is intended for optimization of engineering models. Applications of space mapping optimization technology to. Space mapping and neurospace mapping for microwave. 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 sm has been one of the most popular surrogatebased optimization techniques in microwave engineering to date. Radialbasisfunction neural network optimization of. 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. Neuromodeling of microwave circuits exploiting space mapping. The proposed design approach is based on a combined use of equivalent circuit model of a filter and a space mapping technique.
Biernacki, space mapping technique for electromagnetic optimization, ieee trans microwave theory tech 42 1994, 25362544. The spacemapping approach and recently introduced manifoldmapping technique offer a significant reduction in cpu time for engineering device optimization. Space mapping technology with applications in embased. Fast optimization of a linear induction motor by 3level. The adjoint approach calculates shape derivatives at all points in space, but requires only two forward simulations.
Space mapping technique for electromagnetic optimization, ieee trans. Rayassanchez, qijun zhang, yielddriven electromagnetic optimization via space mappingbased neuromodels, rf and microwave computeraided engineering volume 12, number 1, january 2002, pp. Space mapping, optimization algorithms, filter design, parameter extraction. Flow chart for the space mapping sm optimization technique. Space mapping based derivativefree optimization framework. In combination with the receding horizon control technique this yields a reliable and fast numerical scheme for the.
Synthesis of planar microwave circuits through aggressive. Various algorithms and design optimization problems, related to microwave devices, antennas and electronic circuits, are presented in numerous publications. 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. The optimization problem the majority of design space exploration tasks can be viewed as optimization problems.
In this paper, based on a kriging model, a 2d fem and a 3d fem, a 3level adapted output spacemapping technique is employed. This provides additional properties that help in proving convergence of the optimization approach. Space mapping optimization intelligently links companion coarse and fine models of different complexities, e. It overcomes the limitations of speed and accuracy in conventional. Surrogatebased modeling and optimization, 99120, 20. Space mapping technology with applications in embased device. Comparison of three space mapping techniques on electromagnetic design optimization article in compel international journal of computations and mathematics in electrical 371. Software the toolbox is available as the zip archive spacemap.