Yes, there is a 6-cell battery for this model.  Note, however that if your system has a 2.5" hard drive or SSD installed, it will need to be removed (and if it's the only one in the system, it needs to be replaced by an M.2 2280 SSD). You cannot have the 6 cell battery installed alongside a 2.5" drive -- the battery takes up the space the drive would occupy. [URL]  
Hi there I have a XPS 15 7590 which needs a new battery (EPSA test shows critical battery failure).  The spec is   5D91C Battery,Primary,56WHR,3C,Lithium,Logic Is there a higher WHR battery that I can pick?  Where should I buy battery from any recommendations?   thanks   Mullising  
XPS 15 7590 BATTERY