System and method for heating battery using motor driving system

A battery-heating system using a motor-driving system, comprising:

• an inverter having an a-phase leg, a b-phase leg, and a c-phase leg, each including a pair of switching elements connected in series between both ends of a battery;
• a motor including an a-phase coil having a first end connected to a connection node between a pair of switching elements included in the a-phase leg, a b-phase coil having a first end connected to a connection node between a pair of switching elements included in the b-phase leg, and a c-phase coil having a first end connected to a connection node between a pair of switching elements included in the c-phase leg, a second end of the a-phase coil, a second end of the b-phase coil, and a second end of the c-phase coil being connected to each other;
• and
• a controller configured to determine one of an a-phase, a b-phase, and a c-phase as a reference phase, and to alternately control on-off states of the switching elements so that an on-off state of a switching element included in a leg corresponding to the reference phase and switching elements included in remaining legs are mutually complementary to generate alternating current (AC) current to be injected into the battery.