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Transmission Loss Calculation using A and B Loss Coefficients in Dynamic Economic Dispatch Problem

  • C. H. Ram Jethmalani ORCID logo EMAIL logo , Poornima Dumpa , Sishaj P. Simon und K. Sundareswaran
Veröffentlicht/Copyright: 2. April 2016

Abstract

This paper analyzes the performance of A-loss coefficients while evaluating transmission losses in a Dynamic Economic Dispatch (DED) Problem. The performance analysis is carried out by comparing the losses computed using nominal A loss coefficients and nominal B loss coefficients in reference with load flow solution obtained by standard Newton-Raphson (NR) method. Density based clustering method based on connected regions with sufficiently high density (DBSCAN) is employed in identifying the best regions of A and B loss coefficients. Based on the results obtained through cluster analysis, a novel approach in improving the accuracy of network loss calculation is proposed. Here, based on the change in per unit load values between the load intervals, loss coefficients are updated for calculating the transmission losses. The proposed algorithm is tested and validated on IEEE 6 bus system, IEEE 14 bus, system IEEE 30 bus system and IEEE 118 bus system. All simulations are carried out using SCILAB 5.4 (www.scilab.org) which is an open source software.

Nomenclature

fiPi,t

Fuel Price of ith generating unit in tth hour.

Pi,t

Power generated by ith generating unit in tth hour.

ai, bi, ci

Cost coefficients of ith generating unit.

T

Number of time intervals.

ng

Number of generating units.

PDt

Power demand at tth hour.

PLt

Power loss at tth hour.

Pmin,i

Minimum power that can be generated by ith generating unit.

Pmax,i

Maximum power that can be generated by ith generating unit.

Udi

Ramp down limit of ith generator.

Upi

Ramp down limit of ith generator.

Bij,Bi0,

B00 B loss coefficients.

Ai

A loss coefficients.

k

Iteration number.

PL

Transmission loss.

PLF

Transmission loss obtained by load flow solution.

PLA

Transmission loss obtained by A loss coefficients.

PLB

Transmission loss obtained by B loss coefficients.

PLC

Transmission loss obtained by loss coefficients.

PDA

Power demand at which A loss coefficients are calculated.

EA

Error in transmission loss reported by A loss coefficients.

EB

Error in transmission loss reported by B loss coefficients.

ER

Relative error in transmission loss reported by A and B loss coefficients.

SPM

Slack power mismatch.

SBPC

Slack Bus Power Correction.

Tol

Tolerance.

PUt

Per unit load at tth hour.

EP

Average percentage error.

λ

Incremental fuel cost (Lambda).

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Published Online: 2016-4-2
Published in Print: 2016-4-1

©2016 by De Gruyter

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