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In this paper, the power flow solution of the two bus network is used toanalytically characterise maximum power transfer limits of distributionnetworks, when subject to both thermal and voltage constraints. Traditionalanalytic methods are shown to reach contradictory conclusions on thesuitability of reactive power for increasing power transfer. Therefore, a morerigorous analysis is undertaken, yielding two solutions, both fullycharacterised by losses. The first is the well-known thermal limit. The secondwe define as the `marginal loss-induced maximum power transfer limit'. This isa point at which the marginal increases in losses are greater than increases ingenerated power. The solution is parametrised in terms of the ratio ofresistive to reactive impedance, and yields the reactive power required. Theaccuracy and existence of these solutions are investigated using the IEEE 34bus distribution test feeder, and show good agreement with the two busapproximation. The work has implications for the analysis of reactive powerinterventions in distribution networks, and for the optimal sizing ofdistributed generation.

Loss Induced Maximum Power Transfer in Distribution Networks