Method for operating an internal combustion engine, and internal combustion engine

A method for operating an internal combustion engine including a combustion chamber, which is connectable to a charge air supply and to a supply for fuel, and including an exhaust gas system, which receives combusted air from the combustion chamber and at least partially supplies the combusted air to an exhaust gas turbocharger, wherein fuel can be introduced into the exhaust gas system via a metering valve between the combustion chamber and the exhaust gas turbocharger, the method comprising the following steps:

• supplying charge air and fuel to the combustion chamber of the internal combustion engine, wherein more oxygen is present in the combustion chamber than is consumed during combustion;
• igniting an air/fuel mixture in the combustion chamber;
• discharging burned-off mixture including exhaust gas from the combustion chamber into the exhaust gas system;
• supplying fuel between the combustion chamber and the exhaust gas turbocharger to the exhaust gas flowing from the combustion chamber;
• igniting the fuel in the exhaust gas system;
• and
• supplying at least a portion of the exhaust gas to the exhaust gas turbocharger,
• wherein fuel is introduced into the exhaust gas only when an air compression power of the exhaust gas turbocharger is not sufficient for a power demand on the internal combustion engine.