Economic Load Dispatch Case Study

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1.1 Background of Study
The demand for electricity has grown due to the rapid economic development and gradual increase in the world’s population. The effective economic operation and management of electrical power generating system has always been an important concern in the electrical power industry. The growing size of power grids, huge demand and crisis of energy across the world, continuous rise in price of fossil fuel necessitate the optimal combination of generation level of power generating units. The problem of Economic Load Dispatch (ELD) is to minimize the total cost of power generation (including fuel consumption and operational cost) from differently located power plants while satisfying the loads and losses in the power transmission …show more content…

The Economic Load Dispatch requires the generation facilities to plan and forecast optimal energy dispatch. Hence the concept is the optimal selection of the generating units in such an economic manner that the total cost of supplying the dynamic requirements of the system is minimized.
The ELD problem is an optimization problem that determines the power output of each online generator that will result in a least cost system operating state.
Minimize f(x) (1.1)
Subject to g(x)=0 (1.2) h(x)≤0 (1.3) where f(x) = objective function, g(x) and h(x) are set of equality and inequality constraints respectively. The objective of the Economic Load Dispatch is to minimize the total operating cost of a power system by adjusting the power output of each of the generators connected to the grid, while satisfying the total load demand plus transmission losses within generator …show more content…

Minimize the cost function,
F_i P_i=∑_(i=1)^(n_g)▒〖(γ_i P_i^2+β_i P_i+α_i ) (1.4)〗
Subject to power balance equation (equality constraint)
∑_(i=1)^(n_g)▒P_i =P_D+P_L (1.5)
The system losses can be determined by means of a power flow equation solution which is expressed in kron ‘s loss formula in equation (1.6).
P_L=∑_(i=1)^(n_g)▒〖∑_(j=1)^(n_g)▒P_i B_ij P_j 〗+∑_(i=1)^(n_g)▒B_0i P_i+B_00 (1.6)
And the inequality

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