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How does psse determine the current injection for a constant power load during dynamic simulations during low voltages?

I am trying to build my own transient stability simulator in python and that's why i am curious. I am assuming that during low voltages, the constant power load is converted to either constant current or constant impedance loads to avoid convergence issues. Please correct me if i am wrong. However, if i am right, what are these voltage thresholds? Are these details provided in the PSSE manuals? If yes, please let me know which manual should i be looking at (POM, PAGV1, PAGV2).