A non linear branch and bound algorithm applied to optimal long range power system transmission planning

This paper presents a solution method to the problem of long range optimal expansion planning of an electric power transmission network. The problem is formulated as a discrete-time deterministic optimal control problem. A non linear branch and bound solution method is developed. For a finite planni...

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Bibliographic Details
Published in1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes pp. 255 - 260
Main Authors Meliopoulos, A. P., Debs, A. S., Webb, R. P., Rindt, L. J.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.1976
Subjects
Cost function
Equations
Investments
Optimal control
Power engineering and energy
Power generation economics
Power system economics
Power system planning
Power transmission
Reliability engineering
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DOI10.1109/CDC.1976.267742

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Summary:This paper presents a solution method to the problem of long range optimal expansion planning of an electric power transmission network. The problem is formulated as a discrete-time deterministic optimal control problem. A non linear branch and bound solution method is developed. For a finite planning period, upper and lower bounds of the objective function are computed. Enumeration of the discrete controls is then bounded. The method proceeds by consistently narrowing the bounds until the optimal trajectory is isolated. The method provides a computationally efficient tool for determining an optimal expansion plan. The impact of the economy of scale and cost escalation is readily assessed.
DOI:10.1109/CDC.1976.267742