A SIMPLIFIED LAGRANGIAN MULTIPLIER APPROACH FOR FIXED HEAD SHORT-TERM HYDROTHERMAL SCHEDULING

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KAVITHA S.; RATCHAGAR NIRMALA P.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2014 | Volume:4 | Issue:3 Page(s): 213-222

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Title

A SIMPLIFIED LAGRANGIAN MULTIPLIER APPROACH FOR FIXED HEAD SHORT-TERM HYDROTHERMAL SCHEDULING

Author(s)

KAVITHA S. | RATCHAGAR NIRMALA P. | Issue Writer Certificate

Keywords

HYDROTHERMAL SCHEDULING

LAGRANGIAN MULTIPLIER

FIXED HEAD

QUADRATIC FUNCTION

Abstract

This paper presents a simplified LAGRANGIAN MULTIPLIER based algorithm to solve the FIXED HEAD HYDROTHERMAL SCHEDULING problem. In FIXED HEAD HYDROTHERMAL SCHEDULING problem, water dis charge rate is modeled as QUADRATIC FUNCTION of hydropower generation and fuel cost is modeled as QUADRATIC FUNCTION of thermal power generation. The power output of each hydro unit varies with the rate of water discharged through the turbines. It is assumed that hydro plants alone are not sufficient to supply all the load demands during the scheduling horizon. In hydroscheduling, the specified total volume of water should be optimally discharged throughout the scheduling period. A novel mathematical approach has been developed to determine the optimal hydro and thermal power generation so as to minimize the fuel cost of thermal units. The performance of the proposed method is demonstrated with three test systems. The test results reveal that the proposed method provides optimal solution which satisfies the various system constraints of FIXED HEAD HYDROTHERMAL SCHEDULING problem.

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APA: Copy

KAVITHA, S., & RATCHAGAR, NIRMALA P.. (2014). A SIMPLIFIED LAGRANGIAN MULTIPLIER APPROACH FOR FIXED HEAD SHORT-TERM HYDROTHERMAL SCHEDULING. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 4(3), 213-222. SID. https://sid.ir/paper/328323/en

Vancouver: Copy

KAVITHA S., RATCHAGAR NIRMALA P.. A SIMPLIFIED LAGRANGIAN MULTIPLIER APPROACH FOR FIXED HEAD SHORT-TERM HYDROTHERMAL SCHEDULING. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2014;4(3):213-222. Available from: https://sid.ir/paper/328323/en

IEEE: Copy

S. KAVITHA, and NIRMALA P. RATCHAGAR, “A SIMPLIFIED LAGRANGIAN MULTIPLIER APPROACH FOR FIXED HEAD SHORT-TERM HYDROTHERMAL SCHEDULING,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 4, no. 3, pp. 213–222, 2014, [Online]. Available: https://sid.ir/paper/328323/en

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