Power Quality Monitor Allocation Based on Singular Value Decomposition and Genetic Algorithm
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Power Quality Monitor Allocation Based on Singular Value Decomposition and Genetic Algorithm J. F. D. Breda1
· J. C. M. Vieira2 · M. Oleskovicz2
Received: 1 May 2020 / Revised: 21 August 2020 / Accepted: 6 October 2020 © Brazilian Society for Automatics--SBA 2020
Abstract This paper proposed a novel method for allocating power quality meters with the main objective of ensuring a completely observable power distribution system. The method was designed to establish the quantity, location and type of measurement to be performed (voltage and/or current) for a given distribution system by employing genetic algorithms and the principles of state estimation based on the singular value decomposition. Moreover, a limitation in the number of current measuring channels was inserted in the mathematical formulation as an alternative for reducing costs. The method has been validated by running a three-phase harmonic state estimation using the IEEE 34 and 37 bus distribution test feeders. The results demonstrated the effectiveness of the method for designing power quality monitoring systems in distribution grids, ensuring full observability for state estimation purposes. Keywords Distribution system · Meter placement · State estimation · Genetic algorithms · Singular value decomposition
1 Introduction In practice, the installation of power quality meters (PQMs) in distribution systems (DSs) is directly related to consumers’ complaints or to measurement campaigns performed by the utility. PQMs are allocated by experts according to general guidelines, power quality (PQ) knowledge and DS topology. Main or express feeders or even specific customer venues (when required) are generally chosen as good locations for a meter. However, following such recommendations are difficult in practice, as continuous and real-time monitoring of distribution systems is increasingly required in the context of smart grids (Chung et al. 2007).
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J. F. D. Breda [email protected] J. C. M. Vieira [email protected] M. Oleskovicz [email protected]
1
Institute of Engineering, Science and Technology, Federal University of the Jequitinhonha and Mucuri Valleys, Av. Um, nº 4050, Janaúba, Minas Gerais 39447-814, Brazil
2
Department of Electrical and Computer Engineering, São Carlos School of Engineering, University of São Paulo, Av. Trabalhador São-carlense, nº 400, São Carlos, São Paulo 13566-590, Brazil
Smart grids have been growing in several countries worldwide, such as in Australia, the USA, Canada, China, European Union, Republic of Korea and India (Selvam et al. 2016; Stedman 2016). In this sense, the perspective for smart grids provides an increasing number of permanent and integrated monitoring spots in distribution systems. But even with such perception, it is still technically and economically prohibitive to install meters at all nodes in the system. Thus, it is highly desirable to develop advanced methods to allocate meters, so that from a reduced number of meters it is possible to estimate the state of the whole system and to monitor re
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