Multistage Long-Term Expansion Planning of Electrical Distribution Systems Considering Multiple Alternatives

Abstract

This paper presents a new mixed-integer linear programming (MILP) model to solve the multistage long-term expansion planning problem of electrical distribution systems (EDSs) considering the following alternatives: increasing the capacity of existing substations, constructing new substations, allocating capacitor banks and/or voltage regulators, constructing and/or reinforcing circuits, and modifying, if necessary, the system's topology. The aim is to minimize the investment and operation costs of the EDS over an established planning horizon. The proposed model uses a linearization technique and an approximation for transforming the original problem into an MILP model. The MILP model guarantees convergence to optimality by using existing classical optimization tools. In order to verify the efficiency of the proposed methodology, a 24-node test system was employed.

Operational Planning of Distribution Networks Based on Utility Planning Concepts

“…istribution network planning has been addressed from many angles using diverse mathematical models and solution methods [1][2][3][4]. This complex problem was often formulated as a multi-objective, multi-period optimization model [5][6][7][8][9][10][11][12][13][14][15][16], in which the multi-criterion objective is minimization of one or more cost terms related to capital investments, energy losses, reliability and O&M [1,2]. Multiperiod planning is done using either static models [6,7,14], or dynamic models [5,8,15,16].…”

“…This complex problem was often formulated as a multi-objective, multi-period optimization model [5][6][7][8][9][10][11][12][13][14][15][16], in which the multi-criterion objective is minimization of one or more cost terms related to capital investments, energy losses, reliability and O&M [1,2]. Multiperiod planning is done using either static models [6,7,14], or dynamic models [5,8,15,16]. It should be noted: a) Even if the static approach is applied, very diverse planning aspects are considered within a single model, which cannot be applied in real-life; and b) A single optimal trajectory produced by a dynamic model is even more rigid and inappropriate for use in power industry [17].…”

A Mixed Integer Conic Model for Distribution Expansion Planning: Matheuristic Approach

“…Traditionally the DSEP is considered as a static or multiperiod deterministic mixed-integer non-linear programming (MINLP) model [2]- [4]. However, such models no longer meet the planning requirements of the current distribution systems.…”

A Chance-Constrained Multistage Planning Method for Active Distribution Networks

“…More specifically, in [7] and [8], the locations of DDG units are considered as planning alternatives in order to deal with the increasing load demand apart from the reinforcement of substations and distribution lines. The location of DDG units as a planning alternative is also considered in [9], in which the DNP problem is formulated as a simplified mixed integer linear programming problem. In [10] and [11], the allocation of renewable DG units along with DDG units is co-optimized for the network reinforcement and expansion in order to minimize the total investment and operational cost.…”

“…In [7][8][9], only DDG units are considered and they are assumed as investments of the distribution system operator (DSO) in order to decrease the peak load demand ignoring the technical challenges rising by the high penetration of RES in distribution network. Renewable generation and its effect on the solution of the DNP problem is examined in [10][11][12][13][14][15][16].…”