Improving the mathematical formulation of security-constrained generation capacity expansion planning using power transmission distribution factors and line outage distribution factors

Hinojosa, Víctor; Velásquez, Jorge

doi:10.1016/j.epsr.2016.06.002

Cited by 21 publications

(28 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [3], [4], the pre-and post-contingency transmission constraints are formulated using the partial transmission distribution factors (PTDF) and LODF.…”

Section: B Improved Methods To Compute Directly the Lodfsmentioning

confidence: 99%

“…Notice that only one equation is needed to maintain the pre-and post-contingency balance. More details about pre-and post-contingency transmission modeling using linear factors could be reviewed in [3], [4], [23], [24].…”

Section: Problemmentioning

confidence: 99%

“…In addition, deterministic models; i.e. assuming perfect foresight, have been widely studied, and several methods to solve the GCEP problem have been proposed using dynamic programming [12], [13] and branchand-bound methods [3], [6], [14], [15]. Another very important factor in operation and planning problems is the modeling of uncertainty in input variables.…”

Section: Introductionmentioning

confidence: 99%

“…Assuming that the electricity market is centrally operated (e.g. Chile situation), and that the generation companies do not have the ability to accomplish local market power, the GCEP optimization problem can be formulated as a cost minimization in which operational costs are modeled using a DC-network through an optimal power flow (DC-OPF) model [3], [4]. Additionally, the objective of security analysis is to determine a minimum operation point where the system is kept in a normal state after a major disturbance such as transmission line, transformer or generator outage [5].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Stochastic security-constrained generation expansion planning methodology based on a generalized line outage distribution factors

Hinojosa

González-Longatt

2017

2017 IEEE Manchester PowerTech

View full text Add to dashboard Cite

“…In [3], [4], the pre-and post-contingency transmission constraints are formulated using the partial transmission distribution factors (PTDF) and LODF.…”

Section: B Improved Methods To Compute Directly the Lodfsmentioning

confidence: 99%

Section: Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stochastic security-constrained generation expansion planning methodology based on a generalized line outage distribution factors

Hinojosa

González-Longatt

2017

2017 IEEE Manchester PowerTech

View full text Add to dashboard Cite

“…To achieve this goal, it is important to have a positive correlation between generation expansion and the demand growth to maintain balance between production and consumption. However, generation expansion planning has become a complex issue in the power generation industry in the competitive space [7][8][9]. In a limited competitive space, it is necessary that the independent system operator is equipped with the capabilities of models and computational tools to enable it to study the behaviour of the expansion of the generation sector in power systems under uncertainty [5,7,[10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Generation expansion planning in electricity market considering uncertainty in load demand and presence of strategic GENCOs

Valinejad

Marzband

Akorede

et al. 2017

Electric Power Systems Research

View full text Add to dashboard Cite

This paper presents a new framework to study the generation capacity expansion in a multi-stage horizon in the presence of strategic generation companies (GENCOs). The proposed three-level model is a pool-based network-constrained electricity market that is presented under uncertainty in the predicted load demand modeled by the discrete Markov model. The first level includes decisions related to investment aimed to maximize the total profit of all GENCOs in the planning horizon, while the second level entails decisions related to investment aimed at maximizing the total profit of each GENCO. The third level consists of maximizing social welfare where the power market is cleared. The three-level optimization problem is converted to a one-level problem through an auxiliary mixed integer linear programming (MILP) using primal-dual transformation and Karush-Kuhn-Tucker (KKT) conditions. The efficiency of the proposed framework is examined on MAZANDARAN regional electric company (MREC) transmission network-a part of the Iranian interconnected power system. Simulation results confirm that the proposed framework could be a useful tool for analyzing the behaviour of investment in electricity markets in the presence of strategic GENCOs.Keywords: Generation expansion planning, mathematical programming of equilibrium constraints problem, dynamic planning, strategic GENCO, uncertainty, three-level model. Nomenclature

show abstract

A computational comparison of 2 mathematical formulations to handle transmission network constraints in the unit commitment problem

Hinojosa

Gutiérrez-Alcaraz

2017

Int. Trans. Electr. Energ. Syst.

View full text Add to dashboard Cite

Summary Until recently, transmission network constraints have been incorporated into the unit commitment (UC) problem (security‐constrained UC [SCUC]) using the classical direct current (DC)–based equation. This paper proposes a new formulation to model network constraints in the UC problem by using the power transfer distribution factor (PTDF). The classical formulation uses the binary commitment status, the power generation, and the voltage‐phase angles as decision variables. For the proposed formulation, the nodal balance equality constraints are modeled using one equality constraint, and the transmission network constraints have been modeled using the PTDF and the active power generation (decision variables). The main advantage of this formulation is the reduction of decision variables in the operation problem in comparison with the classical DC formulation. Transmission losses, using a piecewise linear approximation, are included in the SCUC problem as well. Both formulations are validated and tested on the Institute of Electrical and Electronics Engineers (IEEE) 14‐bus, the IEEE 30‐bus, the IEEE 57‐bus, and the IEEE 118‐bus. The IEEE 14‐bus and IEEE 57‐bus systems are used to compare the loss and the lossless models. The results show that the PTDF‐based formulation, which requires fewer continuous variables and equality constraints than the classical DC formulation, reduces the simulation time without sacrificing optimality. The results also demonstrate the feasibility of the proposed formulation to address the SCUC problem and its potential applicability to medium‐scale and large‐scale power systems.

show abstract

Improving the mathematical formulation of security-constrained generation capacity expansion planning using power transmission distribution factors and line outage distribution factors

Cited by 21 publications

References 21 publications

Stochastic security-constrained generation expansion planning methodology based on a generalized line outage distribution factors

Stochastic security-constrained generation expansion planning methodology based on a generalized line outage distribution factors

Generation expansion planning in electricity market considering uncertainty in load demand and presence of strategic GENCOs

A computational comparison of 2 mathematical formulations to handle transmission network constraints in the unit commitment problem

Contact Info

Product

Resources

About