A power semiconductor device having a barrier region is provided. A power unit cell of the power semiconductor device has at least two trenches that may both extend into the barrier region. The at least two trenches may both have a respective trench electrode coupled to a control terminal of the power semiconductor device. For example, the trench electrodes are structured to reduce the total gate charge of the power semiconductor device. The barrier region may be p-doped and vertically confined, i.e., in and against the extension direction, by the drift region. The barrier region can be electrically floating.