Corolla 2010 comes with the clutchless design. The Compressor has axial pistons and the stroke of the piston is controlled by Swash plate. There is a solenoid which can control the swash plate angle. If this solenoid goes out of order you need to replace complete compressor. There is no repair kit for the compressor in the market. The second issue comes with the compressor is the valves could go out of order. You are not getting cooling this is because of the compressor.