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I have seen user-written models for VSC-HVDC being written as a model that sets the current injection of 2 generators in the network, with all of the HVDC equations being internal to the model. I also recall that that model was quite tricky to initialize. You could write your 4-terminal HVDC model in a similar way, setting the current injection of 4 generators. Of course, the bus numbers and IDs of the generators would need to be CONs and ICONs for this model.
