## Appendix A Correlation Characteristics and Transient Simulation of an ICE-ORC Combined System  
**[PERSON] 1**, [PERSON] 1,*(c), [PERSON] 1, [PERSON] 1, [PERSON] 1, [PERSON] 2** and [PERSON] 2  
1 School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China; [EMAIL_ADDRESS] (T.L.); [EMAIL_ADDRESS] (F.M.); [EMAIL_ADDRESS] (F.Z.); [EMAIL_ADDRESS] (C.Z.)  
2 College of Environmental and Energy Engineering, Beijing University of Technology, Beijing 100124, China; [EMAIL_ADDRESS] (H.Z.); [EMAIL_ADDRESS] (R.Z.)  
* Correspondence: [EMAIL_ADDRESS]  
Received: 2 April 2019; Accepted: 16 April 2019; Published: 19 April 2019  
**Featured Application: A control strategy for an ORC is designed and a transient simulation is performed together with an ICE. The method can be used to develop the coordination control of ICE-ORC combined system.**  
**Abstract: Currently, internal combustion engines (ICEs) are still the main power for transportation. Energy conservation and emission reduction for ICEs have become the driving force of the industrial R&D in recent years. Organic Rankine cycle (ORC) is a feasible technology to recover the waste heat of an ICE so that the energy efficiency can be enhanced apparently. However, there are still many obstacles needed to be overcome for the application of an ORC together with an ICE. When a vehicle is driving, the operation conditions of the ICE vary in a large range. The operation of the ORC needs to be regulated accordingly to achieve maximum efficiency. In this study, the operation characteristics of an ICE-ORC combined system is investigated and the transient performance is analyzed. First, an integrated simulation model of the ICE and the ORC was built in GT-POWER software. A 5 kW single-screw expander was employed for the ORC system. The working characteristics of the ORC system were evaluated under various working conditions of the ICE. The matching principles of the ORC with the ICE were discussed and the optimal operation conditions of the ORC over the entire engine's working range were obtained. Subsequently, a feedforward control strategy for the ORC system was designed in MATLAB/SIMULINK. Finally, the entire model was simulated under a transient driving cycle of a vehicle. The results indicate that the pump speed and the expander speed are two important parameters and must be adjusted according to the engine's working condition. The speed of the single-screw expander maintains in the low-speed region and the pump speed is tuned to achieve a high evaporation pressure and a proper superheat degree of the working fluid at the inlet of the expander. Thus, the net power output can be maximized. The designed feedforward control strategy can adjust the working condition of the ORC automatically to match with the working condition of the ICE. The ORC operates intermittently and an impulse power is output under the urban driving conditions. However, the working time of the ORC is increased significantly and the power output is relatively higher under the highway conditions.  
**Keywords: organic Rankine cycle; internal combustion engine; exhaust heat recovery; single-screw expander; performance match; transient simulation**