A retrofit Light Emitting Diode, LED, tube (16, 21, 41, 51, 61) for use in a multi lamp luminaire lighting system arranged to be powered from a single high frequency electronic ballast, the retrofit LED tube comprising: - an LED array for emitting light; - a power rectifier (23, 24, 26, 27, 42-43, 52-53, 62-65) having an input and an output, wherein the power rectifier (23, 24, 26, 27, 42-43, 52-53, 62-65) is arranged to receive an AC supply voltage at its input, in use, to convert the AC supply voltage to a DC voltage, and to provide the DC voltage, via its output, to the LED array; - a controllable switch circuit (29, 44, 45, 54, 55, 67, 68) arranged to short circuit the LED array such that the LED array does not emit light; - a control unit (28, 56, 66) arranged for wirelessly receiving a dimming command and for controlling the controllable switch circuit (29, 44, 45, 54, 55, 67, 68) based on the received dimming command; - a storage capacitor placed in parallel over the LED array; - a further rectifier having an input and an output, wherein the input of the further rectifier is connected to the output of the power rectifier (23, 24, 26, 27, 42-43, 52-53, 62-65), and wherein the output of the further rectifier is connected to the storage capacitor, wherein the further rectifier is arranged to prevent depletion of the storage capacitor when the controllable switch circuit (29, 44, 45, 54, 55, 67, 68) is short circuiting the LED array, characterized in that: the storage capacitor is configured to supply power to the control unit (28, 56, 66), wherein the control unit (28, 56, 66) is further arranged to: 1) determine that a voltage over the storage capacitor is below a predetermined depletion threshold; 2) based on the determination that the voltage is below a predetermined depletion threshold, temporarily controlling the controllable switch circuit (29, 44, 45, 54, 55, 67, 68) not to short circuit the LED array such that the storage capacitor is able to charge. - an LED array for emitting light; - a power rectifier (23, 24, 26, 27, 42-43, 52-53, 62-65) having an input and an output, wherein the power rectifier (23, 24, 26, 27, 42-43, 52-53, 62-65) is arranged to receive an AC supply voltage at its input, in use, to convert the AC supply voltage to a DC voltage, and to provide the DC voltage, via its output, to the LED array; - a controllable switch circuit (29, 44, 45, 54, 55, 67, 68) arranged to short circuit the LED array such that the LED array does not emit light; - a control unit (28, 56, 66) arranged for wirelessly receiving a dimming command and for controlling the controllable switch circuit (29, 44, 45, 54, 55, 67, 68) based on the received dimming command; - a storage capacitor placed in parallel over the LED array; - a further rectifier having an input and an output, wherein the input of the further rectifier is connected to the output of the power rectifier (23, 24, 26, 27, 42-43, 52-53, 62-65), and wherein the output of the further rectifier is connected to the storage capacitor, wherein the further rectifier is arranged to prevent depletion of the storage capacitor when the controllable switch circuit (29, 44, 45, 54, 55, 67, 68) is short circuiting the LED array, characterized in that: the storage capacitor is configured to supply power to the control unit (28, 56, 66), wherein the control unit (28, 56, 66) is further arranged to: 1) determine that a voltage over the storage capacitor is below a predetermined depletion threshold; 2) based on the determination that the voltage is below a predetermined depletion threshold, temporarily controlling the controllable switch circuit (29, 44, 45, 54, 55, 67, 68) not to short circuit the LED array such that the storage capacitor is able to charge. 1) determine that a voltage over the storage capacitor is below a predetermined depletion threshold; 2) based on the determination that the voltage is below a predetermined depletion threshold, temporarily controlling the controllable switch circuit (29, 44, 45, 54, 55, 67, 68) not to short circuit the LED array such that the storage capacitor is able to charge.