This paper explores the utilisation of horizontally and vertically converging microchannel heat sinks for cooling concentrator photovoltaic systems. These are compared to a straight microchannel, which is used as the control test. The primary performance parameters considered are the system's energy and exergetic efficiency and the thermal stresses generated in the solar cell. Horizontally converging channels yield more uniform temperature distributions, but the peak and average thermal stress generation increased due to the higher cell temperature. Conversely, vertically converging channels demonstrated a reduction in thermal stress generation. However, channels which converge more sharply require a substantial increase in pumping power for the same cooling-fluid flow rate which negatively impacts energy and exergetic efficiency. Notably, the control design for straight microchannels is specified to have the same manufacture difficulty across configurations, which is an often-overlooked aspect.The evaluation incorporates two irradiance profiles from concentrator optics to enhance the applicability of results. The straight microchannel structure and the vertically converging channel with a taper ratio of 0.75 are identified as the most applicable for concentrator photovoltaic application. The outcomes provide valuable insights on heat sink design and sheds light on the trade-offs between thermal performance, energy efficiency and manufacturability.