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Journal ArticleDOI

Radial distribution system power flow using interval arithmetic

TLDR
In this paper, the application of interval arithmetic technique for balanced radial distribution system power flow analysis is reported. But uncertainties only in the input load parameters are considered, and the results are compared with the results obtained from repeated load-flow simulations.
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This article is published in International Journal of Electrical Power & Energy Systems.The article was published on 2002-12-01. It has received 75 citations till now. The article focuses on the topics: Affine arithmetic & Interval arithmetic.

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Citations
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Journal ArticleDOI

Operation and planning of distribution networks with integration of renewable distributed generators considering uncertainties: a review

TL;DR: In this paper, a comprehensive literature review of uncertainty modeling methods used for modeling uncertain parameters related to renewable DGs as well as methodologies used for the planning and operation of DGs integration into distribution network is presented.
Journal ArticleDOI

Uncertainty Tracing of Distributed Generations via Complex Affine Arithmetic Based Unbalanced Three-Phase Power Flow

TL;DR: In this paper, a complex affine arithmetic based unbalanced three-phase Forward-Backward Sweep power flow model (CATFBS) is proposed to study the impacts of uncertainties in unbalanced 3-phase distribution systems.
Journal ArticleDOI

Microgrid Energy Management Combining Sensitivities, Interval and Probabilistic Uncertainties of Renewable Generation and Loads

TL;DR: The original hard bounded affine intervals are made soft bounded using the derived joint PDFs, forming new less conservative and more feasible intervals of cost and power flow variables.
Journal ArticleDOI

Radial Power Flow Tolerance Analysis by Interval Constraint Propagation

TL;DR: In this article, interval constraint propagation (ICP) is employed for refining enclosures to solutions of nonlinear systems of equations by merging interval mathematic and constraint propagation techniques, and several numerical results are presented and discussed in order to assess the effectiveness of the proposed methodology as an alternative to sampling-based technique, in radial power flow analysis.
Journal ArticleDOI

An interval optimization based day-ahead scheduling scheme for renewable energy management in smart distribution systems

TL;DR: In this article, a novel interval optimization based day-ahead scheduling model considering renewable energy generation uncertainties for distribution management systems is proposed, where the forecasting errors of wind speed, solar radiation intensity and loads are formulated as interval numbers so as to avoid any need for accurate probability distribution.
References
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Book

Introduction to Interval Computation

TL;DR: In this paper, the authors present an ALGOLGOL-based approach for the inclusion of complex Zeros of polynomials of a function of one real variable in a system of linear systems of equations.
Journal ArticleDOI

Optimal capacitor placement on radial distribution systems

TL;DR: In this article, the problem of capacitors placement on a radial distribution system is formulated and a solution algorithm is proposed, where the location, type, and size of the capacitors, voltage constraints, and load variations are considered.
Journal ArticleDOI

A compensation-based power flow method for weakly meshed distribution and transmission networks

TL;DR: In this article, a power flow method is described for solving weakly meshed distribution and transmission networks, using a multiport compensation technique and basic formations of Kirchoff's laws.
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A three-phase power flow method for real-time distribution system analysis

TL;DR: In this article, a three-phase power flow solution method for real-time analysis of primary distribution systems is presented, with the emphasis on modeling of dispersed generation (PV nodes), unbalanced and distributed loads, and voltage regulators and shunt capacitors with automatic local tap controls.
Journal ArticleDOI

Efficient load flow for large weakly meshed networks

TL;DR: In this paper, an efficient method for calculating the load flow solution of weakly meshed transmission and distribution systems is presented, which uses active and reactive powers as flow variables rather than complex currents, thus simplifying the treatment of P, V buses and reducing the related computational effort.
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