economical load dispatch using genetic algorithm

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its is the hybrid optimization of genetic algorithm and lagrance multiplier

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY ECONOMICAL LOAD DISPATCH USING HYBRID OPTIMIZATION(USING GENETIC ALORITHM AND CLASSICAL METHOD) Under the guidance of MR. SANAT KUMAR PATRO LOGO LOGO BTECH PROJECT PRESENTATION PRESENTED BY: NAME - REGD.NO- BARUN KUMAR DASH 1001306014 B.TAPAN KUMAR SUBUDHI 1001306013 SUMIT KUMARPADHY 1001306027 MANORANJAN MAHAPTRO 1001306098

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY PRESENTED BY-SUMIT KUMAR PADHY REGDNO -1001306027 LOGO BTECH SEMINAR PRESENTATION OVER VIEW INTRODUCTION DIFFERENT CONSTRAINTS IN ECONOMIC LOAD DISPATCH OPERATING COST OF THERMAL PLANT ECONOMIC DISPATCH NEGLECTING LOSSES ECONOMIC DISPATCH INCLUDING LOSSES REFERENCES

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH SEMINAR PRESENTATION INTRODUCTION In power generation our main aim is to generate the required amount of power with minimum cost. Economic load dispatch means that the generator’s real and reactive power are allowed to vary within certain limits so as to meet a particular load demand with minimum fuel cost. This allocation of loads are based on some constraints.

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION DIFFERENT CONSTRAINTS IN ECONOMIC LOAD DISPATCH INEQUALITY CONSTRAINTS Generator constraints KVA loading of generator should not exceed prescribed value Pmin ≤ P ≤ Pmax Qmin ≤ Q ≤ Qmax

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION Transmission line constraints flow of power through transmission line should less than its thermal capacity . Transformer tap set For autotransformer tap t should between 0 & 1. For two winding transformer – between 0& k. Equality constraints Real power Pp= Vp Σ Ypq Vq cos ( θ pq -( δ p+ δ q)) Reactive power Qp = Vp Σ Ypq Vq sin( θ pq -( δ p+ δ q))

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION OPERATING COST OF THERMAL PLANT The factors influencing power generation at minimum cost are operating efficiencies of generators, fuel cost, and transmission losses. The most efficient generator in the system does not guarantee minimum cost as it may be located in an area where fuel cost is high. If the plant is located far from the load center, transmission losses may be considerably higher and hence the plant may be overly uneconomical.

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION The input to the thermal plant is generally measured in Btu/h, and the output is measured in MW In all practical cases, the fuel cost of generator can be represented as a quadratic function of real power generation a) Heat rate curve b) Fuel cost curve

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION Incremental fuel-cost curve By plotting the derivative of the fuel-cost curve versus the real power we get the incremental fuel-cost curve The incremental fuel-cost curve is a measure of how costly it will be to produce the next increment of power.

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION ECONOMIC DISPATCH NEGLECTING LOSSES It is the simplest economic dispatch problem Assume that the system is only one bus with all generation and loads connected to it A cost function Ci is assumed to be known for each plant.

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION The problem is to find the real power generation for each plant such that the objective function (i.e., total production cost) as defined by the equation Is minimum ,subjected to the constraints

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION when losses are neglected with no generator limits, for most economic operation. all plants must operate at equal incremental production cost Production from each plant can be found by This equation is known as the coordination equation For analytic solution we can find λ by

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION Update value of λ by In an iterative technique, starting with a value of λ and the process is continued until ∆Pi is within a specified accuracy. Corresponding to this λ is calculated by and the power mistch is calculated by

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION EXAMPLE

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION Above three eqn represent the eqn for straight line on plotting this line we will get

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION ECONOMIC DISPATCH INCLUDING LOSSES When power is transmitted over long distances transmission losses are a major factor that affect the optimum dispatch of generation One common practice for including the effect of transmission losses is to express the total transmission loss as a quadratic function of the generator power outputs. The simplest quadratic form is

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION Using the langrange multiplier Minimum of this function is fount at the points where the partials of the function to it’s variables are zero

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION ITRATION METHOD Initially assume a λ value. Then find out the generation from each plant using the equation Calculate the power mismatch calculate

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION Update value of λ Repeat the procedure with new value of λ until the power mismatch is within the limit

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION EXAMPLE

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION SOLUTION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY LOGO BTECH PROJECT PRESENTATION REFERENCES Power System Analysis - Hadi Saadat power system analysis by nagrath and kothari

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY PRESENTED BY -SUMIT KUMAR PADHY , REGDNO-1001306027

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GANDHI INSTITUTE OF INDUSTRIAL TECHNOLOGY PRESENTED BY -SUMIT KUMAR PADHY , REGDNO-1001306027

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