The　demand　for　phased　array　antennas　increases　not　only　for　the　traditional　military　industry　but　also　in　commercial　areas　such　5G　mobile　network　platforms,　Internet　of　Things　(IoT),　and　satellite　communication　applications.　In　this　paper,　a　phased　array　with　beam　scanning　function　is　designed　based　on　arithmetic　phase　difference　between　array　elements.　In　the　design　process,　the　initial　complex　model　is　simplified　into　a　simple　element　model　with　periodic　conditions,　which　makes　the　analysis　faster　and　more　efficient.　Finally,　two　phased　array　designs　based　on　microstrip　patch　antenna　are　studied,　and　the　simulation　results　verify　the　correctness　of　the　design　method.　©　Published　under　licence　by　IOP　Publishing　Ltd.