To address the cost recovery challenges of new-type energy storage projects and to identify the key economic determinants across different application scenarios, a cost analysis framework and economic quantification methodology tailored to revenue models for new-type energy storage applied at the generation, grid, and demand sides are proposed. Unit energy/capacity cost characterization models are derived using the operational-period pricing method, which are compatible with revenue models across different application scenarios. Multidimensional revenue quantification models are established by incorporating market-based income alongside traditional income. Case studies and sensitivity analyses are conducted using indicators such as annualized net revenue, dynamic payback period, and internal rate of return. The results indicate that while mature electrochemical energy storage demonstrates better economic performance in grid-side independent energy storage, its financial viability is significantly impacted by electricity market products, and the potential discontinuation of peak-shaving markets would lead to a substantial decline in revenue. For generation-side renewable energy stations, increasing the storage duration of energy storage can increase its grid electricity and enhance grid compatibility, thereby enhancing both electricity revenue and "Two Rules" (the grid compliance and ancillary service compensation mechanisms) revenue. The economics of demand-side energy storage depend on tariff structures （single-rate vs. two-part） and load characteristics. For large industrial customers with stable loads under two-part tariffs, optimal sizing of storage power and energy capacity is required to avoid losses caused by increased demand charges. From the perspective of investors and operators, this study systematically outlines a cost mechanism and economic analysis approach for new-type energy storage across generation, grid, and demand sides that are aligned with revenue models. By comprehensively incorporating key cash flow elements such as loan repayments and tax liabilities, it enables accurate dynamic economic assessment, providing a practical theoretical basis and operational guidance for cost control and decision-making in market-oriented environments.