When you click on the "Calibration" icon in the toolbar (or menu), NumXL prepare all inputs of the solver using the selected model, and add one constraint  (As shown below):

The constraint is added to make sure the solver search only for a stable model (e.g. invertible, characteristics root outside unit-circle, etc.). NumXL has functions for the different models that checks the stability of the model and returns either 0/1.

Ideally, the constrain above should state something like ($J$43=1), but due to an issue in the Excel Solver using VBA, we introduced a work-around to overcome situations where the first constraint is missing or dropped.