The invention describes a method of cooling a lamp (1) in a projector (2, 2′) independently of an orientation (Pdesk, Pceiling) of the projector (2, 2′), which method comprises directing a cooling airflow (4) symmetrically at a burner (10) of the lamp (1) during operation of the lamp (1); and controlling the cooling airflow (4) alternately between at least a first cooling level (C-I) and a second cooling level (C-II) such that, during cooling at the first cooling level (C-I), the temperature (Tbase) in a base region of the burner (10) drops below a predefined minimum operating temperature (Tmin) to allow a blackening of an inside wall (100) of the burner (10), and during cooling at the second cooling level (C-II), the temperature (Ttop) in an upper region of the burner (10) increases above a predefined maximum operating temperature (Tmax) and the temperature (Tbase) in the base region of the burner (10) increases above the predefined minimum operating temperature (Tmin) to facilitate a cleaning of the burner wall (100). The invention further describes a cooling module controller (31) for use in an orientation-independent cooling arrangement (30) of a projector (2, 2′); an orientation-independent cooling arrangement (30) for cooling a lamp (1) in a projector (2, 2′) independently of an orientation (Pdesk, Pceiling) of the projector (2, 2′); and a projector (2, 2′).