A vehicle electrical system has at least one vehicle distribution branch and at least one energy storage device. The system additionally has at least one switching device which is able to assume a first switching position and a second switching position. The at least one energy storage device is electrically connected to the at least one vehicle distribution branch in the first switching position. Furthermore, the at least one energy storage device is electrically separated from the at least one vehicle distribution branch in the second switching position. A control device controls the switching device by way of a control signal that can be generated by a pulse length modulator. A pulse width of the control signal can be adapted according to a momentary supply voltage of the switching device or a momentary temperature of the switching device.
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