  In this paper, a novel quadratic convex optimal power flow model, namely,
MDOPF, is proposed to determine the optimal dispatches of distributed
generators. Based on the results of MDOPF, two price mechanisms, distribution
locational marginal price (DLMP) and distribution locational price (DLP), are
analyzed. For DLMP, an explicit method is developed to calculate the marginal
loss that does not require a backward/forward sweep algorithm and thus reduces
the computational complexity. However, the marginal loss component in DLMP will
cause over-collection of losses (OCL). To address this issue, DLP is defined,
which contains two components, the energy cost component and loss component,
where the loss component is determined by the proposed loss allocation method
(LAM). Numerical tests show that the proposed MDOPF has a better accuracy than
existing OPF models based on linear power flow equations. In addition, the
proposed marginal loss method and DLMP algorithm have satisfactory accuracy
compared with benchmarks provided by ACOPF, and the proposed DLP can eliminate
OCL.
