We analyze the dynamics of a distribution circuit loaded with many inductionmotor and subjected to sudden changes in voltage at the beginning of thecircuit. As opposed to earlier work \cite{13DCB}, the motors are disordered,i.e. the mechanical torque applied to the motors varies in a random manneralong the circuit. In spite of the disorder, many of the qualitative featuresof a homogenous circuit persist, e.g. long-range motor-motor interactionsmediated by circuit voltage and electrical power flows result in coexistence ofthe spatially-extended and propagating normal and stalled phases. We alsoobserved a new phenomenon absent in the case without inhomogeneity/disorder.Specifically, transition front between the normal and stalled phases becomessomewhat random, even when the front is moving very slowly or is evenstationary. Motors within the blurred domain appears in a normal or stalledstate depending on the local configuration of the disorder. We quantify effectsof the disorder and discuss statistics of distribution dynamics, e.g. the frontposition and width, total active/reactive consumption of the feeder and maximumclearing time.
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