Voltage stability constrained multi-objective optimal reactive power dispatch under load and wind power uncertainties: A stochastic approach

Abstract

Keywords:Active power losses Multi-objective optimal reactive power dispatch (MO-ORPD) Scenario-based uncertainty modeling Stochastic programming Voltage stability Wind farms (WFs) a b s t r a c t Optimal reactive power dispatch (ORPD) problem is an important problem in the operation of power systems. It is a nonlinear and mixed integer programming problem, which determines optimal values for control parameters of reactive power producers to optimize specific objective functions while satisfying several technical constraints. In this paper, stochastic multi-objective ORPD (SMO-ORPD) problem is studied in a wind integrated power system considering the loads and wind power generation uncertainties. The proposed multi objective optimization problem is solved using ε-constraint method, and fuzzy satisfying approach is employed to select the best compromise solution. Two different objective functions are considered as follow: 1) minimization of the active power losses and 2) minimization of the voltage stability index (named L-index). In this paper VAR compensation devices are modeled as discrete variables. Moreover, to evaluate the performance of the proposed method for solution of multi-objective problem, the obtained results for deterministic case (DMO-ORPD), are compared with the available methods in literature. The proposed method is examined on the IEEE-57 bus system. The proposed models are implemented in GAMS environment. The numerical results substantiate the capability of the proposed SMO-ORPD problem to deal with uncertainties and to determine the best settings of control variables.

Multi-objective short-term scheduling of active distribution networks for benefit maximization of DisCos and DG owners considering demand response programs and energy storage system

“…The Pareto front can be obtained by varying the epsilon-vector. Therefore, in the proposed problem, of 1 is optimized while of 2 is considered as a constraint as follows [21]:…”

“…Constraint (21) implies that during participation in DRP, the peak load (say occurs at hour 22) is greater than other load levels.…”

Optimal Power Flow Techniques under Characterization of Conventional and Renewable Energy Sources: A Comprehensive Analysis

“…In 2016, Mohseni-Bonab et al [103] presented the stochastic multiobjective optimal reactive power dispatch (SMO-ORPD) problem for wind integrated power system, taking into account the uncertainties of system load and wind power generations. In 2014, Panda and Tripathy [104] presented an OPF solution for modified power system in which three conventional generators are replaced by wind-energy conversion systems (WECS).…”

“…In 2014, Panda and Tripathy [104] presented an OPF solution for modified power system in which three conventional generators are replaced by wind-energy conversion systems (WECS). To justify the limitation of reactive power generation capability of WECS, genetic algorithm (GA) and a modified bacteria [92][93][94][95][96][97][98][99][100][101][102][103][104][105][106] foraging algorithm are employed independently, for determining the optimal schedule. In 2015, Panda and Tripathy [105] presented a modified bacteria foraging algorithm, which is capable of handling multiobjective optimization problems.…”

A two-point estimate method for uncertainty modeling in multi-objective optimal reactive power dispatch problem

“…There are different methodologies for handling uncertainties in power systems that is based on aforementioned parameters. Stochastic programming is widely used in power system planning and operation for uncertainty modeling [23][24][25]. In stochastic programming based methods, the uncertain parameters are modeled using discrete scenarios with their occurrence probability.…”