An Affine Arithmetic-Based Method for Voltage Stability Assessment of Power Systems With Intermittent Generation Sources

Muñoz, Juan Carlos; Cañizares, Claudio A.; Bhattacharya, Kankar; Vaccaro, Alfredo

doi:10.1109/tpwrs.2013.2276424

Cited by 44 publications

(48 citation statements)

References 32 publications

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“…For comparison purpose, a well-known Monte Carlo approach is simulated for the same inputs. Monte Carlo approach is used since it the best approximation of the correct solution [19]. The Monte Carlo simulation is…”

Section: Resultsmentioning

confidence: 99%

“…The AA based power flow analysis has been done by researchers so far is based on sensitivity analysis which adds an extra burden to the computation. Besides, the Newton-Raphson method needs high orders of Chebyshev approximation in order to represent the trigonometric functions [10], [13], [14], [19]. A GaussSeidel algorithm is used in this paper to solve the growth of non-affine operations, which does not need sensitivity analysis to start the simulation and free from higher order Chebyshev approximation.…”

Section: Load Flow Analysis Of a Power System Network In The Presencementioning

confidence: 99%

“…After converting the interval form of complex voltage, real and reactive power to affine forms, the next step is applying a Gauss-Seidel load flow analysis to get the actual values of the bus voltage magnitude and bus voltage angle in the presence of uncertainty. Equation (19) gives the affine form of the first iteration partial deviation voltage. In (19) Y i,i and Y i,k represent the admittance value of the bus "i" and bus "i" with bus "k" respectively for a total of "n" bus.…”

Section: Load Flow Analysis Of a Power System Network In The Presencementioning

confidence: 99%

“…In (19) Y i,i and Y i,k represent the admittance value of the bus "i" and bus "i" with bus "k" respectively for a total of "n" bus. As seen from (19) there are only two non-affine operations created by the division of the complex power by the complex conjugate of the voltage. Applying complex affine operation and non-affine operation and using the inputs in (16-18), the complex AA voltage becomes as shown in (20).…”

Section: Load Flow Analysis Of a Power System Network In The Presencementioning

confidence: 99%

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Load Flow Analysis of a Power System Network in the Presence of Uncertainty using Complex Affine Arithmetic

Abebe¹,

Rao²,

Nak³

2017

IJEM

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The depletion of fossil fuel is driving the world towards the application of renewable energy sources. However, their intermittent nature, in addition to load variation and transmission line sag-tension change due to temperature, is a great deal of problems for reliable power delivery. Without a reliable power delivery, power generation is just a waste of resources. A reliable power delivery can be achieved when the best and the worst case steady state information of a power system network is known to plan and control accordingly. If a system is affected by the presence of uncertainty, a deterministic load flow analysis fails to provide the worst-case load flow result in a single analysis. As a result, a load flow analysis considering the presence of uncertainty is mandatory. On this paper, a novel complex affine arithmetic (AA) based load flow analysis in the presence of generation and load uncertainties is proposed. The proposed approach is tested on an IEEE bus systems and compared with Monte Carlo approach. The proposed approach convergence faster than the Monte Carlo based method and it is slightly conservative.

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Section: Resultsmentioning

confidence: 99%

Section: Load Flow Analysis Of a Power System Network In The Presencementioning

confidence: 99%

Section: Load Flow Analysis Of a Power System Network In The Presencementioning

confidence: 99%

Section: Load Flow Analysis Of a Power System Network In The Presencementioning

confidence: 99%

See 2 more Smart Citations

Load Flow Analysis of a Power System Network in the Presence of Uncertainty using Complex Affine Arithmetic

Abebe¹,

Rao²,

Nak³

2017

IJEM

View full text Add to dashboard Cite

show abstract

“…They chose reliabilities and economy as the main objectives instead of solely power loss optimization. Muñoz et al [14] applied affine arithmetic method to a voltage stability assessment, and reduced the computation burden as compared to Monte Carlo simulations. Vaccaro et al [15] presented a range arithmetic method for power flow problems including interval data.…”

Section: Introductionmentioning

confidence: 99%

A Network Reconfiguration Method Considering Data Uncertainties in Smart Distribution Networks

et al. 2017

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This work presents a method for distribution network reconfiguration with the simultaneous consideration of distributed generation (DG) allocation. The uncertainties of load fluctuation before the network reconfiguration are also considered. Three optimal objectives, including minimal line loss cost, minimum Expected Energy Not Supplied, and minimum switch operation cost, are investigated. The multi-objective optimization problem is further transformed into a single-objective optimization problem by utilizing weighting factors. The proposed network reconfiguration method includes two periods. The first period is to create a feasible topology network by using binary particle swarm optimization (BPSO). Then the DG allocation problem is solved by utilizing sensitivity analysis and a Harmony Search algorithm (HSA). In the meanwhile, interval analysis is applied to deal with the uncertainties of load and devices parameters. Test cases are studied using the standard IEEE 33-bus and PG&E 69-bus systems. Different scenarios and comparisons are analyzed in the experiments. The results show the applicability of the proposed method. The performance analysis of the proposed method is also investigated. The computational results indicate that the proposed network reconfiguration algorithm is feasible.

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Yardstick competition-based comprehensive assessment approach of power system security with intermittent generation integration

Zhou

Liu³

et al. 2018

Int Trans Electr Energ Syst

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Summary Accurately assessing the influence of intermittent generation integration upon grid security bears great significance to large‐scale intermittent generation planning and grid‐connected operation. Starting from the two aspects of static security and dynamic security, this paper chooses eight indicators that can reflect the influence of intermittent generation integration upon grid security and provides the calculation methods of each indicator. Given the differentiation of the influence of different intermittent generation integration scenarios upon grid security and the absence of unified assessment standards, this paper utilizes the theory of relative competition to propose a yardstick competition based single indicator assessment method, so as to determine the weight with variation coefficient and adopt gray correlation analysis method to build a comprehensive assessment model. Then, making use of the method proposed, it assesses the wind power and photovoltaic integration planning in Zhejiang Province, China in 2020, analyzes the grid security features, differences and potential problems of wind power and photovoltaic power in different regions and under different integration rates, and ultimately offers corresponding countermeasures.

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An Affine Arithmetic-Based Method for Voltage Stability Assessment of Power Systems With Intermittent Generation Sources

Cited by 44 publications

References 32 publications

Load Flow Analysis of a Power System Network in the Presence of Uncertainty using Complex Affine Arithmetic

Load Flow Analysis of a Power System Network in the Presence of Uncertainty using Complex Affine Arithmetic

A Network Reconfiguration Method Considering Data Uncertainties in Smart Distribution Networks

Yardstick competition-based comprehensive assessment approach of power system security with intermittent generation integration

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