This paper presents a new method to model induction machines (IMs) in multiphase load-flow calculations. Fast convergence of the load-flow solution is achieved using an iterative Newton method in the modified-augmented-nodalanalysis (MANA) formulation. The multiphase modeling approach allows accounting for unbalanced networks. The IM is modeled using either a constraint of electrical power input, mechanical power or mechanical torque output. The slip of the IM becomes a load flow variable computed iteratively while the reactive power is not fixed. In addition, the initialization of time domain simulations using load flow solution in the computation of electromagnetic transients is demonstrated using balanced and unbalanced network cases. It is shown that a seamless transition between load-flow and time-domain average powers is obtained when the slip of the IM is formulated as a variable in load flow and its reactive power is not fixed.
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