Reactive Power Optimization Under Interval Uncertainty by the Linear Approximation Method and Its Modified Method

Zhang, Cong; Chen, Haoyong; Liang, Zipeng; Guo, Mei; Ngan, H.W.

doi:10.1109/tsg.2017.2664816

Cited by 49 publications

(25 citation statements)

References 53 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Variable costs are formed by cost parameters for the injected reactive power and grid losses c L . The total cost term for each variable is calculated by (6)- (8):…”

Section: A Orpf (Base Model)mentioning

confidence: 99%

“…Optimal reactive power flow (ORPF) methods have been developed to specifically address voltage control with available reactive power compensators without active power flexibilities [7]. Different adaptions of the ORPF take into account uncertain reactive power demand and compensation [8], [9] and time coupled restrictions [10]. These approaches use pre-defined probability distributions to model uncertainties.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Voltage Control in Transmission Grids Considering Uncertainties of Renewable Energy Sources_preprint.pdf

Knittel¹,

Majumdar²,

Schneider³

et al. 2020

Preprint

View full text Add to dashboard Cite

Power traders and system operators need to balance the uncertain generation of renewable energy sources by adapting the dispatch of conventional power plants. This poses a challenge to voltage control in power system operation. Accordingly, this paper presents a method to determine voltage magnitude probability densities which are integrated into an optimal reactive power flow to consider an uncertain active power generation. First, the probability densities are determined by Monte Carlo simulations including a unit commitment problem to derive the dispatch of conventional power plants. Second, uncertainty restrictions are used to create soft constraints for the optimal reactive power flow, which mitigates the risk of voltage limit violations. By adapting the soft constraints slack costs, the consideration of uncertainties can be prioritized in relation to other objectives, such as the reduction of active power losses, or reactive power costs.<br>

show abstract

“…Variable costs are formed by cost parameters for the injected reactive power and grid losses c L . The total cost term for each variable is calculated by (6)- (8):…”

Section: A Orpf (Base Model)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Voltage Control in Transmission Grids Considering Uncertainties of Renewable Energy Sources_preprint.pdf

Knittel¹,

Majumdar²,

Schneider³

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…The search algorithms contain backtracking [9], cuckoo [10], differential [11], direct [12], and harmony search methods [13]. The optimization algorithms (as conventional methods) involve decomposition methods [1], dynamic programming [14], gradient-based optimization [15], interior-point methods [16], linear approximation [17], mixed integer programming [18,19], quadratic programming [20], teaching-based learning [21], and decision-making algorithms [22].…”

Section: Introductionmentioning

confidence: 99%

The Optimization of the Location and Capacity of Reactive Power Generation Units, Using a Hybrid Genetic Algorithm Incorporated by the Bus Impedance Power-Flow Calculation Method

Kim

2020

Applied Sciences

View full text Add to dashboard Cite

Dynamic and static reactive power resources have become an important means of maintaining the stability and reliability of power system networks. For example, if reactive power is not appropriately compensated for in transmission and distribution systems, the receiving end voltage may fall dramatically, or the load voltage may increase to a level that trips protection devices. However, none of the previous optimal power-flow studies for reactive power generation (RPG) units have optimized the location and capacity of RPG units by the bus impedance matrix power-flow calculation method. Thus, this study proposes a genetic algorithm that optimizes the location and capacity of RPG units, which is implemented by MATLAB. In addition, this study enhances the algorithm by incorporating bus impedance power-flow calculation method into the algorithm. The proposed hybrid algorithm is shown to be valid when applied to well-known IEEE test systems.

show abstract

“…By using AA, two selfvalidated computation approaches for the power flow calculation and OPF with uncertainties are proposed in [27] and [28]. To satisfy constraints fully and to achieve accurate operational bounds of the solution under uncertainties, the authors in [29] further combined the linear approximation method and AA-based power flow calculation to address the uncertain reactive power optimization problem in transmission grid. It is worth noting that OPF incorporating intervals is a typical INLP problem.…”

Section: Introductionmentioning

confidence: 99%

Interval optimal power flow applied to distribution networks under uncertainty of loads and renewable resources

Chen

Xiao

Wang

2018

J. Mod. Power Syst. Clean Energy

View full text Add to dashboard Cite

Optimal power flow (OPF) has been used for energy dispatching in active distribution networks. To satisfy constraints fully and achieve strict operational bounds under the uncertainties from loads and sources, this paper derives an interval optimal power flow (I-OPF) method employing affine arithmetic and interval Taylor expansion. An enhanced I-OPF method based on successive linear approximation and second-order cone programming is developed to improve solution accuracy. The proposed methods are benchmarked against Monte Carlo simulation (MCS) and stochastic OPF. Tests on a modified IEEE 33-bus system and a real 113-bus distribution network validate the effectiveness and applicability of the proposed methods.

show abstract

Reactive Power Optimization Under Interval Uncertainty by the Linear Approximation Method and Its Modified Method

Cited by 49 publications

References 53 publications

Voltage Control in Transmission Grids Considering Uncertainties of Renewable Energy Sources_preprint.pdf

Voltage Control in Transmission Grids Considering Uncertainties of Renewable Energy Sources_preprint.pdf

The Optimization of the Location and Capacity of Reactive Power Generation Units, Using a Hybrid Genetic Algorithm Incorporated by the Bus Impedance Power-Flow Calculation Method

Interval optimal power flow applied to distribution networks under uncertainty of loads and renewable resources

Contact Info

Product

Resources

About