Dynamic Reactive Power Compensation in Power Systems through the Optimal Siting and Sizing of Photovoltaic Sources

Buitrago-Velandia, Andrés Felipe; Montoya, Oscar Danilo; Gil-González, Walter

doi:10.3390/resources10050047

Cited by 12 publications

(6 citation statements)

References 34 publications

(50 reference statements)

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“…In Table 1, it is possible to observe that the GAMS optimization package is suitable for solving different optimization problems such as the non-linear programming (NLP), mixed-integer linear programming models (MILP), and MINLP models, respectively. The main aspects of the implementation of an optimization model in the GAMS package are listed as follows [42]: Definition of the sets (nodes and periods of time), tables, parameters, and scalars (i.e., nodal admittance matrix, demands, costs, etc.). Definition of the continuous and discrete variables, i.e., nodal voltages and angles, active and reactive powers, among others.…”

Section: Solution Methodologymentioning

confidence: 99%

Reduction of Annual Operational Costs in Power Systems through the Optimal Siting and Sizing of STATCOMs

et al. 2021

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The problem of the optimal siting and placement of static compensates (STATCOMs) in power systems is addressed in this paper from an exact mathematical optimization point of view. A mixed-integer nonlinear programming model to present the problem was developed with the aim of minimizing the annual operating costs of the power system, which is the sum of the costs of the energy losses and of the installation of the STATCOMs. The optimization model has constraints regarding the active and reactive power balance equations and those associated with the devices’ capabilities, among others. To characterize the electrical behavior of the power system, different load profiles such as residential, industrial, and commercial are considered for a period of 24 h of operation. The solution of the proposed model is reached with the general algebraic modeling system optimization package. The numerical results indicate the positive effect of the dynamic reactive power injections in the power systems on annual operating cost reduction. A Pareto front was built to present the multi-objective behavior of the studied problem when compared to investment and operative costs. The complete numerical validations are made in the IEEE 24-, IEEE 33-, and IEEE 69-bus systems, respectively.

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Section: Solution Methodologymentioning

confidence: 99%

Reduction of Annual Operational Costs in Power Systems through the Optimal Siting and Sizing of STATCOMs

et al. 2021

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“…Static capacitor batteries are commonly used as compensation devices. The method gets more complicated in the case of high-power drive systems supplied from medium-voltage grids, which requires application of rather costly compensation equipment [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Voltage Stabilisation of a Drive System Including a Power Transformer and Asynchronous and Synchronous Motors of Susceptible Motion Transmission

2022

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A mathematical model is developed of the master circuit of an electric driver system including a power transformer and susceptible motion transmission of asynchronous and synchronous drives. Electric motors drive water pumps by means of motion transmission that comprises two elastic couplings of lumped mechanical parameters and a long shaft of distributed mechanical parameters. Differential equations for oscillatory processes for the long shaft and the elastic couplings are different. The shaft is described with partial derivative Euler–Poisson equations, which, combined with the boundary conditions, form mixed problems from the mathematical point of view. The elastic couplings, on the other hand, are described with the ordinary second type Lagrange equations. Based on the theory of electromagnetic field, the partial differential equations describe the skin effects across the rotor age bars. Vertical pumps are presented by means of a loading torque waveform as a function of the input shaft’s angular velocity. The complex mathematical model serves to analyse electromechanical transient processes across the integrated drive system. Starting from there, conditions of stabilisation of the drive system voltage are determined. Electromechanical state equations are presented in the normal Cauchy form and integrated using the fourth-order Runge–Kutta method. Results of computer simulations are shown with graphics, which are interpreted and described.

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“…The main problem of the study is that the authors did not take into account costs in the objective function, which means that that the devices might have been over-sized. The same approach by the authors of [26] was extended in [27] to high-voltage transmissions networks while considering PV generators with dynamic active and reactive power capabilities. The exacted MINLP model was also solved in the GAMS environment; however, the investment and operating costs for renewables were not considered.…”

Section: Introductionmentioning

confidence: 99%

Optimal Investments in PV Sources for Grid-Connected Distribution Networks: An Application of the Discrete–Continuous Genetic Algorithm

2021

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The problem of the optimal siting and sizing of photovoltaic (PV) sources in grid connected distribution networks is addressed in this study with a master–slave optimization approach. In the master optimization stage, a discrete–continuous version of the Chu and Beasley genetic algorithm (DCCBGA) is employed, which defines the optimal locations and sizes for the PV sources. In the slave stage, the successive approximation method is used to evaluate the fitness function value for each individual provided by the master stage. The objective function simultaneously minimizes the energy purchasing costs in the substation bus, and the investment and operating costs for PV sources for a planning period of 20 years. The numerical results of the IEEE 33-bus and 69-bus systems demonstrate that with the proposed optimization methodology, it is possible to eliminate about 27% of the annual operation costs in both systems with optimal locations for the three PV sources. After 100 consecutive evaluations of the DCCBGA, it was observed that 44% of the solutions found by the IEEE 33-bus system were better than those found by the BONMIN solver in the General Algebraic Modeling System (GAMS optimization package). In the case of the IEEE 69-bus system, the DCCBGA ensured, with 55% probability, that solutions with better objective function values than the mean solution value of the GAMS were found. Power generation curves for the slack source confirmed that the optimal siting and sizing of PV sources create the duck curve for the power required to the main grid; in addition, the voltage profile curves for both systems show that voltage regulation was always maintained between ±10% in all the time periods under analysis. All the numerical validations were carried out in the MATLAB programming environment with the GAMS optimization package.

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Dynamic Reactive Power Compensation in Power Systems through the Optimal Siting and Sizing of Photovoltaic Sources

Cited by 12 publications

References 34 publications

Reduction of Annual Operational Costs in Power Systems through the Optimal Siting and Sizing of STATCOMs

Reduction of Annual Operational Costs in Power Systems through the Optimal Siting and Sizing of STATCOMs

Voltage Stabilisation of a Drive System Including a Power Transformer and Asynchronous and Synchronous Motors of Susceptible Motion Transmission

Optimal Investments in PV Sources for Grid-Connected Distribution Networks: An Application of the Discrete–Continuous Genetic Algorithm

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