Powertrain for hybrid vehicle

A powertrain apparatus for a vehicle, the powertrain apparatus including:

• a complex planetary gear set including a first rotation element, a second rotation element, a third rotation element, and a fourth rotation element;
• a motor-generator fixedly connected to the first rotation element of the complex planetary gear set;
• a first brake configured to selectively connect the second rotation element of the complex planetary gear set to a transmission housing;
• an input shaft connected to an engine and selectively connectable to the first rotation element and the third rotation element of the complex planetary gear set;
• and
• an output shaft fixedly connected to the fourth rotation element of the complex planetary gear set,
• wherein the complex planetary gear set includes a first planetary gear set and a second planetary gear set,
• wherein the first rotation element is a first sun gear of the first planetary gear set,
• wherein the second rotation element is a second sun gear of the second planetary gear set,
• wherein the third rotation element is implemented by connecting a first planet carrier of the first planetary gear set and a second ring gear of the second planetary gear set, and
• wherein the fourth rotation element is implemented by connecting a first ring gear of the first planetary gear set and a second planet carrier of the second planetary gear set.