A Multi-time Reactive Power Optimization Under Interval Uncertainty of Renewable Power Generation by an Interval Sequential Quadratic Programming Method

Zhang, Cong; Chen, Haoyong; Shi, Keke; Liang, Zipeng; Mo, Weike; Dong, Hua

doi:10.1109/tste.2018.2860901

Cited by 36 publications

(19 citation statements)

References 35 publications

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“…Constraints: According to the dual model (14), the number of constraints v T da/dx + d f /dx = 0 in the dual problem is equal to the number of variables x; this means that the partial derivative of each variable corresponds to a constraint (i) U i : The constraints associated with U i are power flow equations (17) and (25). For the generator bus, there is also the generator bus voltage correction equation (28b).…”

Section: Dual Problem Of the Inner-layer Convex Programming Model: Obmentioning

confidence: 99%

“…where (33) corresponds to the non-generator bus, and (34) corresponds to the generator bus. (ii) R ij and I ij : The constraints associated with R ij and I ij are the power flow equation 17, (19), (20) and (25), and the phase angle constraint (23). The corresponding dual problem constraints are as follows:…”

Section: Dual Problem Of the Inner-layer Convex Programming Model: Obmentioning

confidence: 99%

“…When the optimistic solution is calculated in consideration of the uncertain fluctuation of the WF output, the obtained WF outputs before and after relaxation are also very close. For the optimal solutions obtained by the model after relaxation in the three cases, by computing the deviation on both sides of inequality (25) for each branch, the biggest deviations for all the branches are all <10 −8 , i.e. very close to 0; and by computing the values of the left side of nonlinear constraint (23) for each independent loop, the largest values for all the independent loops are all <10 −4 , i.e.…”

Section: Accuracy Analysis Of Convex Relaxationmentioning

confidence: 99%

“…Interval optimisation theory has been successfully applied to several power system optimisation problems considering the uncertainty, such as interval economic dispatch [19][20][21], interval unit commitment [22,23], and interval reactive power optimisation [24,25]. Combining an absolute value constraint-based method, Ding et al [19] applied interval linear optimisation to securityconstrained economic dispatch problem.…”

Section: Introductionmentioning

confidence: 99%

“…Zhou et al [23] proposed an interval optimisation model combined with a point estimation method to model and solve stochastic security-constrained unit commitment problems. The authors of [24,25] used the interval optimisation to solve the reactive power optimisation problem considering the uncertainty to enhance voltage security of power grids. From the above literature, conclusion can be drawn that interval optimisation theory can efficiently solve the power system optimisation problems considering the uncertainty.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Static voltage stability margin calculation of power systems with high wind power penetration based on the interval optimisation method

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Yang

Liu

et al. 2020

IET Renewable Power Generation

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Calculation of the static voltage stability margin (SVSM) of a power system with high wind-power penetration requires consideration of the uncertain fluctuation of wind farms' (WFs') output. Using interval numbers to describe the uncertain WF output fluctuation and based on the interval optimisation theory, a new SVSM interval calculation method is proposed. The method establishes two bi-level optimal power flow (OPF) models to calculate the SVSM interval, including a min-min model for the upper bound and a max-min model for the lower bound. Through the dual theory of convex programming, the max-min model is transformed into a max-max model, which is solved by transforming it into a one-layer optimisation model. Using correlation angles to describe the correlation of different WF output intervals and using linear transformation to decorrelate them into independent intervals, two bi-level OPF models of calculating the SVSM interval considering different WFs' correlation are established. Take the IEEE-39 bus system and an actual 964-bus provincial power grid as examples, compared with the Monte-Carlo method and the continuous power flow and affine interval integrated method, the results indicate the proposed method obtains more accurate SVSM interval and has better calculation efficiency.

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Section: Dual Problem Of the Inner-layer Convex Programming Model: Obmentioning

confidence: 99%

Section: Dual Problem Of the Inner-layer Convex Programming Model: Obmentioning

confidence: 99%

Section: Accuracy Analysis Of Convex Relaxationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Static voltage stability margin calculation of power systems with high wind power penetration based on the interval optimisation method

Lin

Yang

Liu

et al. 2020

IET Renewable Power Generation

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Reactive power control of hybrid systems using improved coyote optimizer

Chen

Zhou

et al. 2023

Concurrency and Computation

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SummaryA new method of reactive power control by photovoltaic and hydrogen is presented in this study. Photovoltaic has been employed for harvesting the hydrogen which is based on considering the weather conditions. The proposed system includes a combination of photovoltaic, hydrogen, and fuel cell along with a DG to connect to the grid and to improve the supply power quality. The main contribution of this paper is to direct an improved metaheuristic algorithm, called improved coyote optimization (CO) algorithm for achieving a proper DG placement. The improved version of the CO algorithm has benefitted from a spiral policy that is derived from Whale optimization algorithm. This process makes better control for the social behavior of the coyotes. Reactive power optimization (RPO) has been established after the size selection objective function. Big data technology is also used for improving the historical solution matching‐based RPO appliance. Cosine distance is used for measurement purposes of the historical solution matching‐based similarity technique during the computation time of conventional RPO and PVH‐FC features. As a result of using the suggested CO, the costs for electricity and losses are reduced by around 86.6% and 26.9%, respectively. Additionally, realized profits showed that applying the suggested strategy reduced the overall cost from 9.315e6 to 4.435e6 units. After optimization, the network loss and power are finally reduced to 1325 Kvar and 1371 kW, respectively. The results show that the suggested RPO technique has higher speed of calculation in comparison with some latest algorithms. Achievements also show that the suggested method provides a proper and optimal solution for RPO.

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Dynamic Reactive Power Optimization of Power System Considering Load Demand Side Response

Chen

Cai

Wang

et al. 2022

Lecture Notes in Electrical Engineering

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A Multi-time Reactive Power Optimization Under Interval Uncertainty of Renewable Power Generation by an Interval Sequential Quadratic Programming Method

Cited by 36 publications

References 35 publications

Static voltage stability margin calculation of power systems with high wind power penetration based on the interval optimisation method

Static voltage stability margin calculation of power systems with high wind power penetration based on the interval optimisation method

Reactive power control of hybrid systems using improved coyote optimizer

Dynamic Reactive Power Optimization of Power System Considering Load Demand Side Response

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