Modeling of stochastic behavior of plug-in hybrid electric vehicle in a reactive power market

This paper presents a stochastic reactive power market which incorporates plug-in hybrid electric vehicles (PHEVs) in the reactive power market. The uncertainty of PHEVs as well as synchronous generators in the form of system contingencies are explicitly considered in the stochastic market-clearing scheme. The capability curve of PHEV is extracted and after that the expected payment function of PHEV is proposed based on its capability curve. In the proposed stochastic reactive power market, the Monte-Carlo simulation is used to generate random scenarios. The stochastic market-clearing procedure is then implemented as a series of deterministic optimization problems (scenarios) including non-contingent scenario and different post-contingency states. The objective function of each scenario is total payment function of PHEVs and synchronous generators which refers to the payment paid to the generators and PHEV owners for their reactive power compensation. A typical 17-node microgrid is used in the case study.