The integrated utilization of free cooling sources, waste heat recovery from information technology equipment, and renewable energy emerges as a pivotal method for conserving energy and mitigating carbon emissions in data centers. However, there is limited research on systems that integrate these three technologies. A notable mismatch arises between the waste heat generated and the requirements for building heating, but it is often overlooked. Moreover, a discernible lack of comprehensive analysis concerning the multifaceted influences associated with using renewable energy exists. Therefore, this paper employs a range of metrics to comprehensively assess a renewable energy integration system considering the mismatch of the waste heat recovery in data centers. The results indicate that due to mismatch characteristics, the energy-saving rate of heating systems will not constantly climb with the increase in energy savings. It causes only 45.5% of waste heat available for heating purposes achieving a power usage effectiveness of 1.17 and the rest will be abandoned. Similarly, its economic performance doesn't absolutely improve with the expansion in heating volume, the payback period doesn't continue to fall but increases after reaching the optimal level of 5.7. The proposed system accomplishes a 45.8% reduction in energy consumption for the cooling system, a notable decrease of 90% in carbon emissions, and a 55.7% reduction in annual cash flow. It is also important to note that while integrating battery systems aids in stabilizing grid disturbances, with a minimum disturbance index of 0.2, it introduces significant economic costs for the data centers.