An Affine Arithmetic-Based Methodology for Reliable Power Flow Analysis in the Presence of Data Uncertainty

Vaccaro, Alfredo; Cañizares, Claudio A.; Villacci, D.

doi:10.1109/tpwrs.2009.2032774

Cited by 166 publications

(98 citation statements)

References 20 publications

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“…In such conditions, reliable solution algorithms that take care of the effect of data uncertainty into the power flow analysis are necessary. To address such problem, a new solution methodology based on AA is proposed in [13] and tested on an IEEE 57 bus system. The outcome confirms the conservative nature of AA over MC approach.…”

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

confidence: 99%

“…The outcome confirms the conservative nature of AA over MC approach. This is mainly due to Monte Carlo approach does not consider round-off and truncation errors better than AA [10], [13], [14]. 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.…”

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

confidence: 99%

“…IA takes into consideration the uncertainties in the system and gives strict bound [11]. But, AA on the other hand gives a conservative bound because of its consideration of round-off and truncation error, besides input uncertainty, better than IA [13], [14]. Both IA and AA based analysis are validated by comparing the result with probabilistic Monte Carlo approach.…”

Section: Introductionmentioning

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

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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: 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: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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“…Due to the nonlinear nature of the power flow equations, numerical methods are employed to obtain a solution that is within an acceptable tolerance [8].…”

Section: Electrical Power Networkmentioning

confidence: 99%

“…In addition, the control/decision and the dependant variables should satisfy the power flow equations, the natural gas flow equations and the energy hub equations which represent the equality constraints for problems (7), (8).…”

Section: Problem Formulationmentioning

confidence: 99%

A goal programming methodology for multiobjective optimization of distributed energy hubs operation

Scala

Vaccaro

Zobaa

2014

Applied Thermal Engineering

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This paper addresses the problem of optimal energy flow management in multicarrier energy networks in the presence of interconnected energy hubs. The overall problem is here formalized by a nonlinear constrained multiobjective optimization problem and solved by a goal attainment based methodology. The application of this solution approach allows the analyst to identify the optimal operation state of the distributed energy hubs which ensures an effective and reliable operation of the multicarrier energy network in spite of large variations of load demands and energy prices. Simulation results obtained on the 30 bus IEEE test network are presented and discussed in order to demonstrate the significance and the validity of the proposed method.

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References

2023

Interval Methods for Uncertain Power System Analysis

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An Affine Arithmetic-Based Methodology for Reliable Power Flow Analysis in the Presence of Data Uncertainty

Cited by 166 publications

References 20 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 goal programming methodology for multiobjective optimization of distributed energy hubs operation

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