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Transmission loss modelling and analysis with multiple linear regression

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dc.citedby2
dc.contributor.authorAppalasamy S.en_US
dc.contributor.authorGan H.S.en_US
dc.contributor.authorJones O.D.en_US
dc.contributor.authorMoin N.H.en_US
dc.contributor.authorTan C.S.en_US
dc.contributor.authorid57092686500en_US
dc.contributor.authorid9337866300en_US
dc.contributor.authorid57205913427en_US
dc.contributor.authorid6507487566en_US
dc.contributor.authorid55363559700en_US
dc.date.accessioned2023-12-28T04:12:47Z
dc.date.available2023-12-28T04:12:47Z
dc.date.issued2013
dc.description.abstractUnit commitment (UC) and economic dispatch (ED) are two crucial optimisation problems in the short term operational planning of power systems. For a given scheduling period, UC determines the optimal set of generating units to be in service whereas ED determines the economic distribution of generation values for a known set of generators. Both of these problems are modelled as aggregated supply and demand problems, and require an estimate of the transmission loss. Therefore the accuracy of the approximated transmission loss within these problems is vital in ensuring the optimality and feasibility of the solutions. The increasing penetration of renewable energy (RE) technologies into the grid has increased the volatility of the transmitted power, making it harder to approximate the transmission loss using existing techniques. A robust and reliable approximation is required, valid across a wide range of transmission values. Consider a power network with a set of nodes connected by transmission lines, with subset B of nodes with demand and subset N of nodes with generators. Let di be the real power demand at node i ? B, pj, the real power generated at node j ? N and L, the total real power transmission losses in the system.Without loss of generality let generator node 0 be the slack bus and write N0 = N\{0} for the generation nodes excluding the slack bus. This paper looks into a new way of modelling the aggregated transmission loss, using multiple linear regression. The fitted model's form is (Equation presented) where k = (1, . . ., n) is the observation number, ?(k) is the error and ?ij, ?ij and ?ij are coefficients fitted using least squares. The proposed model does not rely only on a particular base case and does not make simplifying assumptions, as seen in previous models, though we do assume that the topology of the power network does not change. This makes the model more robust than existing approximations. In this paper the effect of power demand (load) at each demand point, power generation and voltage magnitudes for each generator are tested for eight different scenarios created using J.H. Chows 3-Machine 9-Bus benchmark problem which is quoted in Zimmerman et al. (2011). In each scenario we compare our proposed model with loss approximation models currently used in industry. From the analysis we see that our proposed model outperforms the existing models, and gives good approximations for a wide range of inputs. We also show that the performance measures used to compare the models can be used to determine a best base case. Finally, we show that by looking at the effect of voltage on how well our model fits, we are able to determine voltage limits for generators that are best, in the sense that they minimise the instability caused to load flows due to improper voltage magnitude values. � International Congress on Modelling and Simulation, MODSIM 2013.All right reserved.en_US
dc.description.natureFinalen_US
dc.identifier.epage1508
dc.identifier.scopus2-s2.0-85034774348
dc.identifier.spage1502
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85034774348&partnerID=40&md5=d75d723695a6191ed6c18b3f4cfa4537
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/29365
dc.pagecount6
dc.publisherModelling and Simulation Society of Australia and New Zealand Inc. (MSSANZ)en_US
dc.sourceScopus
dc.sourcetitleProceedings - 20th International Congress on Modelling and Simulation, MODSIM 2013
dc.subjectMultiple Linear Regression
dc.subjectPerformance Measures
dc.subjectTransmission loss modelling
dc.subjectVoltage Instability
dc.subjectEconomic analysis
dc.subjectElectric generators
dc.subjectElectric load dispatching
dc.subjectElectric network analysis
dc.subjectElectric power transmission networks
dc.subjectElectric power utilization
dc.subjectLinear regression
dc.subjectOperations research
dc.subjectScheduling
dc.subjectTopology
dc.subjectWave transmission
dc.subjectModelling and analysis
dc.subjectMultiple linear regressions
dc.subjectOptimisation problems
dc.subjectPerformance measure
dc.subjectRenewable energy technologies
dc.subjectSimplifying assumptions
dc.subjectTransmission loss
dc.subjectVoltage instability
dc.subjectElectric load loss
dc.titleTransmission loss modelling and analysis with multiple linear regressionen_US
dc.typeConference paperen_US
dspace.entity.typePublication
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