Please see my responses below:
Firstly, If I work without Coss capacitances […] this circumstances.
You are absolutely right, without modeling the resonating capacitor you will not be able to observe the ZVS functionality.
Second option , connecting a paralell coss […] then stabilize.
Hard to tell what is going on without a PLECS model. What I will say is if you don’t achieve ZVS and turn on the FET you are effectively shorting a capacitor (Coss) across a very small resistor (Rdson). For example, if your Rdson is 1mOhm and you have 1V then the instantaneous current would be 1000A with a decay defined by the Rdson*Coss time constant.
This is my full bridge structure […] to error like the image below
Please see the following description of the error you are experiencing: What does the error message "state/source dependence" mean? | Plexim
I wonder that Why mosfet […] thermal charasteristic in this situtaion
A potential solution might be the one I proposed in this comment on that thread I had sent you earlier: Soft switching implementation in a DAB converter - #7 by Munadir_Ahmed . Effectively having a single configuration to model both ZVS and thermals may not be a feasible option.