Multi-carrier energy systems play an important role in reconfigured power networks. According to the recent researches, only the energy carriers modeling and system optimization are taken into account, however the sensitivity analysis of output parameters due to input variables variations considering price risk, are being studied in this paper. The sensitivity analysis make the independent system operator (ISO) very precisionist to the carriers-based decisions. In other word, the ISO and the whole control system have to be able to determine each share of all energy carriers considering emergency conditions or passive defense, low consumption and high efficiency. This goal will be achieved through energy carriers sharing variations to compensate the lack of the other resources. All of thermal and electrical demand are procured and the energy not supplies will be calculated in each scenario. The risk modeling used in this study is formulated based on conditional value at risk (CVaR) in four weeks time horizon.