Influência das Restrições Operacionais na Alocação de Perdas Ativas na Transmissão Via Multiplicadores de Lagrange (Influence of the Operational Constraint in the Active Transmission Losses Allocation Via Lagrange Multipliers)

Edmarcio Antonio Belati (, Alessandra Macedo de Souza (, Geraldo Roberto Martins da Costa (

1SENAI - Cimatec
2Instituto de Tecnologia da Universidade Federal do Pará
3Universidade de São Paulo

This paper appears in: Revista IEEE América Latina

Publication Date: March 2010
Volume: 8,   Issue: 1 
ISSN: 1548-0992

This paper presents an approach for the active transmission losses allocation between the agents of the system. The approach uses the primal and dual variable information of the Optimal Power Flow in the losses allocation strategy. The allocation coefficients are determined via Lagrange multipliers. The paper emphasizes the necessity to consider the operational constraints and parameters of the systems in the problem solution. An example, for a 3-bus system is presented in details, as well as a comparative test with the main allocation methods. Case studies on the IEEE 14-bus systems are carried out to verify the influence of the constraints and parameters of the system in the losses allocation.

Index Terms:
losses allocation, optimal power flow, Lagrange multipliers, operational constraints   

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