In this paper we will evaluate approaches to the simulation of DAE of higher order under real-time conditions. Some of these approaches are new variants of well-known methods. For the purpose of evaluation we used, for example, explicit multistep methods with and without subsequent inexact projection, and BDF approaches under real-time termination conditions. The Hardware in the loop (HIL) Simulation requires plant models which can be simulated under hard real-time conditions. Thus the combination of DAE and real-time simulation is very interesting for model-based generation of plant models because the socalled hybrid differential algebraic equations (HDAE), see e.g.  Appendix C, are the mathematical foundation of modeling languages such as Modelica and Simscape. So beyond the numerical properties of a technique we will watch out wherever they are suitable for model-based code generation.