Vehicle and method for controlling the same

A vehicle comprising:

• a battery;
• a battery sensor configured to sense an output voltage and an output current of the battery;
• and
• a power management device configured to control charging of the battery based on a state of charge (SoC) of the battery;
• wherein the power management device is configured to:
• calculate an estimated SoC of the battery based on the output current of the battery,
• calculate an actual SoC based on the output of a battery model corresponding to an input of the output voltage and the output current;
• based on an error between the actual SoC and the estimated SoC, activate a power generation control, which controls a generator based on the SoC of the battery, and an idle stop & go (ISG), which turns off an engine during stopping of the vehicle;
• input the output voltage and the output current to the battery model when the estimated SoC of the battery is out of an available range of the battery and calculate a first reference SoC based on an output of the battery model;
• calculate a first increment of the estimated SoC of the battery while charging the battery;
• define the SoC, which is determined when the output voltage of the battery reaches a target voltage and the output current of the battery decreases, as a second reference SoC;
• and
• calculate a second calculation error based on a difference between a value, which is a difference between the second reference SoC and the first reference SoC, and a second increment of the estimated SoC.