Test systems and mathematical models for transmission network expansion planning

Abstract

The daVa of four networks that can be used in carrying out comparative studies with methods for transmission network expansion planning are gwen. These networks are of various types and different levels of complexity. The main mathematical formulations used in transmission expansion studies-transportation models, hybrid models, DC power flow models, and disjunctive models are also SummdnSed and compared. The main algorithm families are reviewed-both analytical, cOmbinatOnd1 and heuristic approaches. Optimal solutions are not yet known for some of the four networks when more accurate models (e.g. the DC model) are used to represent the power flow equations-the state of the art with regard to this is also summarised. This should sewe as a challenge to authors searching for new, more efficient methods. 10 IEE. 2002 IEE ProcmLp.s online no. 2W20026 DO/: K.lM9/ip-ptdZMl2W26 Paper first received 14th March 2001 R. Romero is with the Faculty of Enpineefins of llha Solteira, Paulista Swte University. CP 31, Ilha Soltririr 15385-NX1, SP, Brazil A. Monticelli and A. Garcia are with the Departmcnl of Electric Enersy Systems. University of Campinas, CP 6101, Campinns 13081-970. SP. Brazil S. Hafiner is with the Depaitmeni of EImtfimudl Enginee~ing. Pontifical Catholic University of Rio Grande do SUI. CP 1429. Port0 Alepre 90619-9INl RS, Brazil

Flexible Transmission Expansion Planning for Integrating Wind Power Based on Wind Power Distribution Characteristics

“…The operation and planning constraints of this multiscenario model include DC power flow constraints (4,5), transmission capacity constraints in lines and transformers (6), generation output constraints (7,8), the maximum number of line constraint (9), and integer constraint (10) [6,22]. …”

“…Some traditional transmission planning methods are based on system reliability and designed to meet demand and reliability requirements [6,7]. But transmission planning methods for integrating wind power should be different, because wind power does not significantly improve system reliability [8].…”

A New Model for Transmission Network Expansion and Reactive Power Planning in a Deregulated Environment

“…In this study a fixed cost of c 0 = 1000$ and 3 $/KVAr is assumed as a variable cost of VAr source [3] while the penalty of load curtailment is assumed 150 $/MW-h [16]. For better comparison the cost of power losses 1500 $/KW is assumed [17].…”

“…Transmission expansion planning (TEP) has been researched for a long time [1], while the earlier well cited work is developed by Garver [2]. Albeit, most of these studies only consider simplified models like: transportation models (TM), hybrid models (HM), linear disjunctive model (LDM) and DC model [3]. Recently an accurate AC network modeling has been proposed in [4].…”

Conic relaxations for transmission system planning

“…Until recently, optimization-based approaches have almost exclusively been preceded by application of the DC power flow approximation [3], [4], because the full AC version was considered intractable. At present, there are few methods that do not first employ this simplification; of note is [5], in which the full AC formulation is solved using a heuristic based on nonlinear programming.…”