What does the "nonlinear iteration is not converging" error mean?

What does the "nonlinear iteration is not converging" error mean? How do I debug this?
Nonlinear iteration is not converging with step size reduced to hmin (7.96349e-014) at time 22.4152. Try reducing the minimum step size and/or relax the relative error tolerance.

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This can mean that one of the signals in your model is diverging to plus or minus infinity or is otherwise changing too rapidly based on the solver settings.

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