This document discusses economic load dispatch in power systems. It begins by listing the names and IDs of 5 presenters. It then outlines the contents which include introductions to economic dispatch, constraints in economic load dispatch, operating costs of thermal plants, and economic dispatch with and without losses. The document defines economic dispatch as operating generation facilities to produce energy at lowest cost while meeting demand. It describes the constraints and factors that influence minimizing generation costs such as generator efficiencies, fuel costs, and transmission losses. Equations for economic dispatch with and without losses are provided.

1. NAME ID
 MD. HASAN-AL ROKTIM 121-33-893
 MD. HRUN-AR-RASHID 121-33-879
 MD. ABU IMRAN 121-33-859
 MD. TANVIR AHMED 121-33-831
 MD. ZILLUR RAHMAN 121-33-906
PRESENTED BY

2. CONTENTS
 INTRODUCTION
 WHAT IS ECONOMICAL DISPATCH?
 DIFFERENT CONSTRAINTS IN ECONOMIC LOAD
DISPATCH
 OPERATING COST OF THERMAL PLANT
 ECONOMIC DISPATCH NEGLECTING
LOSSES
 ECONOMIC DISPATCH INCLUDING
LOSSES
 REFERENCES

3. 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.

4. Economic Load dispatch
What is economic dispatch?
The definition of economic dispatch is:
“The operation of generation facilities to produce energy at the lowest cost
to reliably serve consumers, recognizing any operational limits of
generation and transmission facilities”.
Most electric power systems dispatch their own generating units and
their own purchased power in a way that may be said to meet this
definition.
The factors influencing power generation at minimum cost are :
 operating efficiencies of generators
 fuel cost and transmission losses

5. DIFFERENT CONSTRAINTS IN
ECONOMIC LOAD DISPATCH
 INEQUALITY CONSTRAINTS
 Voltage constraints
Vmin ≤ V ≤ Vmax ,
δmin ≤ δ ≤ δmax
 Generator constraints
KVA loading of generator should not exceed prescribed
value
Pmin ≤ P ≤ Pmax
Qmin ≤ Q ≤ Qmax

6.  Running spare capacity constraints
This constraints are needed to meet forced outage of
one or more alternators in the system and also
unexpected load on the system
 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

7.  Equality constraints
 Real power
Pp= Vp Σ Ypq Vq cos(θpq-(δp+δq))
 Reactive power
Qp= Vp Σ Ypq Vq sin(θpq-(δp+δq))

8. 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.

9. Heat-Rate Curve
(a)
fuel
input,
Btu/hr
Pi, MW

10. Fuel-Cost Curve
(b)
The fuel cost is
commonly express as
a quadratic function
Ci=αi + βiPi + γiPi
2
Rs/h
cost
Ci,
Rs/hr
Pi, MW

11. incremental fuel-cost
curve
The derivative is known
as the incremental fuel
cost.
λ
Rs/M
Wh
Pi, MW

12. 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

13.  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

16.  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

17.  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, and the power mismatch is calculated by
Update value of λ by

18. 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

19. REFERENCES
 Power System Analysis - Hadi Saadat
 power system analysis by nagrath and kothari

20. THANKS