2.2.2 ECONOMIC LOAD DISPATCH
The primary concern of an economic dispatch problem is to minimize the fuel cost of thermal power plants for a given load demand subject to the operating constraints of a power system. Therefore, it can be formulated mathematically with an objective function and constraints
2.2.2.1 Objective Function
The primary objective of any ELD problem is to reduce the operational cost by fulfilling the load demand within limit of constraints. The various kinds of objective function formulation are given below.
2.2.2.2 Generator Operating Cost
The total cost of operation includes the fuel cost, cost of labour, supplies and maintenance. Mathematically it can be represented as a quadratic polynomial of generated power.
Min F=∑_(i=1)^(N_g)▒(a_i+b_i P_(g_i )+c_i P_(g_i)^2 ) $/h (1) …show more content…
i = 1, 2 … n.
2.2.2.3 Objective Function with Valve Point Loading Real input-output characteristics display higher-order nonlinearities and discontinuities due to valve-point loading in fossil fuel burning plant. The valve-point loading effect has been modeled in as a recurring rectified sinusoidal function . Mathematically, operating cost considering valve point loading is defined as: Min F=∑_(i=1)^(N_g)▒〖a_i+b_i P_(g_i )+c_i P_(g_i)^2+|e_i sin(f_i (P_(g_i)^min-P_(g_i ) ) ) | 〗 (2) where P_(g_i)^min is the minimum loading limit below which it is uneconomical to operate the unit and P_(g_i)^max is the upper permissible limit of real power generation. where e_i and f_i are constraints of the valve point effect of generators, which is
The primary concern of an economic dispatch problem is to minimize the fuel cost of thermal power plants for a given load demand subject to the operating constraints of a power system. Therefore, it can be formulated mathematically with an objective function and constraints
2.2.2.1 Objective Function
The primary objective of any ELD problem is to reduce the operational cost by fulfilling the load demand within limit of constraints. The various kinds of objective function formulation are given below.
2.2.2.2 Generator Operating Cost
The total cost of operation includes the fuel cost, cost of labour, supplies and maintenance. Mathematically it can be represented as a quadratic polynomial of generated power.
Min F=∑_(i=1)^(N_g)▒(a_i+b_i P_(g_i )+c_i P_(g_i)^2 ) $/h (1) …show more content…
i = 1, 2 … n.
2.2.2.3 Objective Function with Valve Point Loading Real input-output characteristics display higher-order nonlinearities and discontinuities due to valve-point loading in fossil fuel burning plant. The valve-point loading effect has been modeled in as a recurring rectified sinusoidal function . Mathematically, operating cost considering valve point loading is defined as: Min F=∑_(i=1)^(N_g)▒〖a_i+b_i P_(g_i )+c_i P_(g_i)^2+|e_i sin(f_i (P_(g_i)^min-P_(g_i ) ) ) | 〗 (2) where P_(g_i)^min is the minimum loading limit below which it is uneconomical to operate the unit and P_(g_i)^max is the upper permissible limit of real power generation. where e_i and f_i are constraints of the valve point effect of generators, which is