A mixed-integer linear programming approach for optimal type, size and allocation of distributed generation in radial distribution systems

This paper presents a mixed-integer linear programming approach to solving the problem of optimal type, size and allocation of distributed generators (DGs) in radial distribution systems. In the proposed formulation, (a) the steady-state operation of the radial distribution system, considering different load levels, is modeled through linear expressions; (b) different types of DGs are represented by their capability curves; (c) the short-circuit current capacity of the circuits is modeled through linear expressions; and (d) different topologies of the radial distribution system are considered. The objective function minimizes the annualized investment and operation costs. The use of a mixed-integer linear formulation guarantees convergence to optimality using existing optimization software. The results of one test system are presented in order to show the accuracy as well as the efficiency of the proposed solution technique.

► A mixed-integer linear programming approach to solving the problem of optimal type, size and allocation of distributed generators is proposed.
► Linearizations were made to adequately represent the steady-state operation of the distribution system.
► The behavior of constant power and constant impedance type loads and different load levels were considered.
► Different types of distributed generators are represented by their capability curves.
► The proposed method is a useful tool for distribution systems planning, which presents great advantages, in enabling the planner to take appropriate decisions.