System and Method for Controlling Limp-Home Reverse Traveling of Hybrid Electric Vehicle

A system for operating a hybrid electric vehicle includes a hybrid starter generator generating a counter-electromotive force while rotating with an engine when conditions are satisfied, including where starting of the engine is secured, a main relay is turned off, and an engine clutch is opened according to a request for reverse traveling, in a state where a component of a high-voltage system is failed, a motor reversely rotating using the counter-electromotive force of the hybrid starter generator, an electronic load component operated using the counter-electromotive force of the hybrid starter generator, and a controller determining an engine speed required by load output values according to operations of the motor and the electronic load component, and restricting the operation of the motor or the electronic load component according to a determined engine speed.