False measurements pose a major challenge to the stable operation of the smart grid. This paper aims to develop a real-time detection method for false measurements in the smart grid, especially when the error is in the function of Jacobean matrix. Considering its high robustness and excellent short-term prediction effect, the fuzzy time series was selected as the basis for our model. The detection is realized in three steps: fuzzification, fuzzy relationship determination and defuzzification. The established model was tested on a 30-node network using the PSSE. The results show that our model can accurately detect the false measurement that are inputted in the Jacobian matrix, which are not detectable by conventional systems.