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The transient operation of a Diesel engine when the turbocharger compressor is driven to its unstable region was examined though detailed simulation. This was accomplished by using a mathematical model, capable of predicting the behavior of a compression system including the case where compressor surging occurs. This model was tested for a simple compression system, and validated against available experimental data. After that, it was incorporated into a detailed reciprocating engine simulation code. Transient engine operation cases in which compressor surging occurred were simulated and the derived results for the behavior of the compressor and engine are presented.