Optimum Dispatch of Active and Reactive Generation by Quadratic Programming

Optimum scheduling of generation subject to constraints on maximum and minimum levels and rates of change of generation, spare capacity and line flow limits, is studied. A linear programming formulation for system constraints is used with a quadratic cost function for generation and transmission lin...

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Bibliographic Details
Published inIEEE transactions on power apparatus and systems Vol. PAS-92; no. 2; pp. 644 - 654
Main Authors Nicholson, H., H. Sterling, M. J.
Format Journal Article
LanguageEnglish
Published IEEE 01.03.1973
Subjects
Computational modeling
Cost function
Linear programming
Load flow analysis
Power transmission lines
Propagation losses
Quadratic programming
Reactive power
Spectral analysis
Voltage
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ISSN0018-9510
DOI10.1109/TPAS.1973.293768

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Summary:Optimum scheduling of generation subject to constraints on maximum and minimum levels and rates of change of generation, spare capacity and line flow limits, is studied. A linear programming formulation for system constraints is used with a quadratic cost function for generation and transmission line loss. An optimal solution for real power dispatch is obtained by quadratic programming, and optimum allocation of reactive power is based on a gradient technique which minimises transmission loss subject to nodal voltage and reactive power limits. An ac load flow analysis is incorporated together with a load prediction program based on a spectral analysis of past load data. The feasibility of simulating the overall system problem, including load-frequency control of equivalent generation, using a combined analogue-digital process computer system linked to a large scientific digital computer by data link is investigated.
ISSN:0018-9510
DOI:10.1109/TPAS.1973.293768