Transshipment model-based MILP (mixed-integer linear programming) formulation for targeting and design of hybrid power systems

• Propose transshipment models for modeling the off-grid HPS (hybrid power systems).
• Targeting and analysis of HPS problems is formulated as a MILP model.
• A systematic approach to determine outsourcing target and best electricity pairing for a HPS.

A HPS (hybrid power system) includes various sources of RE (renewable electricity) such as wind, solar, and biomass, and is supplemented by the public grid should the total RE supply is deficit to total demand. Given the operational capability of the total RE supply and the time-dependent demand rate from various appliances, and also given the recovery ratio of the electricity due to storage and discharge cycle, a mathematical programming approach is established for the analysis and design of the off-grid HPS. A CTM (condensed transshipment model) is first proposed, and the problem of targeting and analysis of the HPS problem is formulated as a MILP (mixed-integer linear programming) model. The CTM-based MILP formulation is then extended to the ETM (expanded transshipment model), where further detailed examination such as allocating the power sources to demands is included and is also expressed as a mixed-integer linear programming model, for providing more detailed source-sink matching information. An illustrative case study taken from Ref. [1] is studied to demonstrate the proposed transshipment models for elucidation of the hybrid power system.