3-terminal device external modeling

cianfa72
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About the number of independent equations needed to externally model a 3-terminal device
Very basic question. Consider a 3-terminal device with terminals say A,B,C. Kirchhoff Current Law (KCL) and Kirchhoff Voltage Law (KVL) establish two relationships between the 3 currents entering the terminals and the 3 terminal's voltage pairs respectively.

So we have 2 equations in 6 unknowns. To proceed further we need two more (independent) equations in order to solve the circuit the 3-terminal device is connected to (basically one treats such a device as an unbalanced two-port element).

My question: from a theoretical point to view, is it possible, aside from KCL and KLV, that the number of equations describing the 3-terminal device could be less or more than 2 ?
 
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