Hi,
Yes, you can model the system with the saved steady state values.
The power output of both a diesel generator and an asynchronous motor in a microgrid system will generally change according to the load applied, rather than remaining fixed at their rated power. You can use "Scope" or "Display" block to visualize the voltage and current values. With these values, you can use the "Power" block to compute active and reactive powers of voltage-current pair at fundamental frequency. For more information on "Power" block, you can refer the following documentation:
In order to better understand the initialization of an induction motor/diesel-generator system for starting the simulation in steady-state, you can refer to the example on the following link:
Although, I believe there is no direct example in MathWorks Documentation for your use case, but you can refer to the following example to get some idea. This example shows the islanded operation of an inverter-based microgrid.
I hope it will give you some direction.
Regards,
Zuber