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To cope with che possible heat soak phenomenon occuring in turbochargers, an analytical system has been developed making it possible to interpret the soak phenomenon so an effective eqantitative improvement can be quickly determined. This system includes an input generator, which has been obtained by modeling, on the basis of the existing three-dimensional thermal conduction analysis, the physical form of each part of the turbocharger according to degree of its influence on the analysis, an iterative system of analysis and, output from which results can be consecutively estimated. This analytical system has been verified by comparison to bench test results. It can be expected that this system will become an effective means to improvement and development.