2003
DOI: 10.1109/tpwrs.2002.804950
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A methodology for optimal power dispatch under a pool-bilateral market

Abstract: This work proposes an optimization model for the power dispatch under a pool-bilateral market. In it, all transactions and also the power traded in the spot market are separated into different networks according to the corresponding current injections. Using the superposition principle (SP), a set of network equations is assigned to every transaction and to the power injections related to the pool (spot market). The model comprises all of the network equations and inequalities representing operational limits. … Show more

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Cited by 24 publications
(5 citation statements)
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“…Linear programming methods are attractive to operation researchers, because they include the system constraints in their formulation and have no convergence problems as they solve the problem in its primal form. Three major linear programming‐based methods were introduced for the solution of the ED problem in the last 20 years: (i) the simplex method , (ii) the interior‐point method , and (iii) the mixed integer linear programming . Moreover, Lagrangean approaches to deal with constraints may be part of the solution strategy .…”
Section: Methodologiesmentioning
confidence: 99%
See 1 more Smart Citation
“…Linear programming methods are attractive to operation researchers, because they include the system constraints in their formulation and have no convergence problems as they solve the problem in its primal form. Three major linear programming‐based methods were introduced for the solution of the ED problem in the last 20 years: (i) the simplex method , (ii) the interior‐point method , and (iii) the mixed integer linear programming . Moreover, Lagrangean approaches to deal with constraints may be part of the solution strategy .…”
Section: Methodologiesmentioning
confidence: 99%
“…In , a nonlinear primal–dual interior‐point method is applied to solve the extended OPF model of a pool‐bilateral electricity market. The objective function of the dispatch model in deregulated markets comprises a linear approximation of the generation cost, a linear approximation of the transmission losses, and a linear approximation of a penalty cost for the deviation of the vector of the contracted power from the proposed values.…”
Section: Methodologiesmentioning
confidence: 99%
“…where Losses is the objective function that minimizes losses; Pg ph,t is the vector of active power generation of each phase ph and scenario t with dimension (3.nb.np × 1); Pd ph,t is the vector of active power load of each phase ph and scenario t with dimension (3.nb.np × 1); Qg ph,t is the vector of reactive power generation of each phase ph and scenario t with dimension (3.nb.np × 1); Qd ph,t is the vector of reactive power load of each phase ph and scenario t with dimension (3.nb.np × 1); Pgd ph,t is the vector of active power generation of distributed generation of each phase ph and scenario t with dimension (3.nb.np × 1); Qgd ph,t is the vector of reactive power generation of distributed generation of each phase ph and scenario t with dimension (3.nb.np × 1); a ph,t is the ratio voltage magnitudes of voltage regulators of each phase ph and scenario t with dimension (3.nreg.np × 1); nreg is the number of voltage regulators; a min and a max are the minimum and maximum voltage magnitude ratio of the voltage regulators with dimension (3.nreg.np × 1); c ph,t is the capacitive susceptance of capacitor banks installed at nc buses with dimension (3.nb.np × 1); Pg min and Pg max are the minimum and maximum limits of the active generation with dimension (3.nb.np × 1); Qg min and Qg max are the minimum and maximum limits of the reactive generation with dimension (3.nb.np × 1); V min and V max are the minimum and maximum limits of voltage magnitude phasor with dimension (3.nb.np × 1); α is the vector of taps adjusted on the primary of DT with dimension (ndt × 1), where ndt is the number of distributer transformers; and α min and α max are the minimum and maximum tap position of the DTs with dimension (ndt × 1). The functions P ph,t x, a ph,t , α .x and Q ph,t x, a ph,t , α .x, which represent the active and reactive power injections of each bus, respectively, are quadratic equations due to the rectangular representation of the voltage phasor [31]. To illustrate this, the vector Pd ph,t (active power load) and the vector Qd ph,t (reactive power load) have the following layout: where Pd k,t i represents the active power load at bus i, phase k, and scenario t, and Qd k,t i represents the reactive power load at bus i, phase k, and scenario t.…”
Section: Formulation Of the Multi-scenario Three-phase Optimal Power mentioning
confidence: 99%
“…In sequence, the Karush-Kuhn-Tucker (KKT) conditions that express the first optimality conditions of the optimization problem are resolved by the application of Newton's method to obtain the solution of the non-linear equations (KKT). This method was selected due to its good performance obtained to solve traditional OPF [31,32] of real systems.…”
Section: Formulation Of the Multi-scenario Three-phase Optimal Power mentioning
confidence: 99%
“…A comparative revision of some of these methods is presented in Refs. [11,28] and an analysis of the results is shown in Refs. [23,24].…”
Section: Introductionmentioning
confidence: 99%