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Thermoacoustics has become a promising technology to use heat from low temperature sources to drive engines. This study proposes a single-stage thermoacoustic travelling-wave engine for waste-heat recovery at 150°C. All the construction details of such a system are provided. A recently developed configuration of a looped tube with an impedance matching sidebranch stub is proposed. A numerical model of the engine is built in DeltaEC software to conduct the simulations. Furthermore, a detailed thermodynamic analysis of the engine is presented, including an energy balance, a description of the basic acoustic parameters in a steady state, as well as a study of a variable load influence on the performance of the engine. The Authors pointed out the necessity of the engine optimization and a proper choice of load related acoustic impedance, which would consider a trade-off between high power and high efficiency. Eventually, a possibility of achieving 40% exergy efficiency of the proposed engine is confirmed.