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Effective usage of renewable energy requires ways of storage and delivery to balance energy demand and availability divergences. Carbon-free chemical energy carriers are proposed solutions, converting clean electricity into stable media for storage and long-distance energy trade. Hydrogen (H$_2$) is the subject of significant investment and research. Metal fuels, such as iron (Fe), are promising solutions for a clean energy supply, but establishing an interconnected ecosystem still requires considerable research and development. A model is proposed to assess the supply chain of hydrogen and iron as clean, carbon-free energy carriers and then examines case studies of possible trade routes between the potential energy exporters Morocco, Saudi Arabia, and Australia and importers Germany and Japan. The work comprehends the assessment of economic (levelized cost of electricity - LCOE), energetic (thermodynamic efficiency) and environmental (CO$_2$ emissions) aspects, quantified by the comprehensive model accounting for the most critical processes in the supply chain. Sensitivity and uncertainty analyses identify the main drivers for energy costs. Iron is shown to be lower-cost and more efficient to transport in longer routes and for long-term storage, but potentially more expensive and less efficient than H$_2$ to produce and convert. Uncertainties related to the supply chain specifications and the sensitivity to the used variables indicate that the path to viable energy carriers fundamentally depends on efficient synthesis, conversion, storage, and transport. A break-even analysis demonstrated that clean energy carriers could be competitive with conventional energy carriers at low renewable energy prices, while carbon taxes might be needed to level the playing field. Thereby, green iron is an important potential energy carrier for long-distance trade in a globalized clean energy market., Revised version submitted to Applications in Energy and Combustion Science