Abstract

Even though non-linear Optimal Power Flow model proposed in part I of this paper provide accurate results there are difficulties in solving a full non-linear Optimal Power Flow model since it is a very time consuming. Due to speed and robustness, Linear Programming model is preferred by the system operators for nodal price calculations. It is a challenge to incorporate transmission losses into the losses linear DC power model. In this paper to model line flow operating limit inequality constraint a lossless Participant Based Distributed Slack DC Power Flow model is derived from Newton-Raphson state correction scheme used in part I of this work. An equivalent lumped linear model for the Participant Based Distributed Slack Lumped Nonlinear Optimal Power Flow model called Participant Based Distributed Slack Lumped Linear Optimal Power Flow model is developed in part II of this paper. The results for market clearing and settlement of double sided electricity market by the proposed lumped linear model are compared with the nonlinear model proposed in part I of this work using case studies on PJM system, IEEE 30 bus system and IEEE 118 bus system. The results obtained indicate the speed and robustness of the proposed linear model.

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