This technical seminar report discusses contingency analysis, which evaluates the impacts of removing equipment from a power system. It presents two main methods: the DC power flow method and the Z matrix method. The DC power flow method uses network parameters and bus voltage equations to model and simulate effects. The Z matrix method converts loads to impedances, injects a current, and calculates new current flows. It also discusses post-contingency equilibrium methods and concludes contingency analysis is used as an online decision support tool to quickly identify potential issues.