Application of Residue Theorem to evaluate real integrations.pptx
A presentation on economic load dispatch
1. NAME - SOURAV SAHOO
BRANCH - ELECTRICAL
REGD.NO-1601105336
ROLL.NO-35290
A PRESENTATION
ON
ECONOMIC LOAD
DISPATCH
2. Contents
Introduction
DISTRIBUTION OF LOAD BETWEEN UNITS WITHIN A PLANT
DISTRIBUTION OF LOAD BETWEEN PLANTS
Lambda-Iteration method
THE TRANSMISSION-LOSS EQUATION
Economic Dispatch summary
References
3. INTRODUCTION
• Operational economics involving power generation and delivery can be
subdivided into two parts
a) dealing with minimum cost of power production called economic
dispatch
b) dealing with minimum-loss delivery of the generated power to
the loads
• For any specified load condition economic dispatch determines the
power output of each plant (and each generating unit with in the plant )
which will minimize the overall cost of fuel needed to serve the system
load.
4. DISTRIBUTION OF LOAD BETWEEN
UNITS WITHIN A PLANT
• To determine the economic distribution of load between the
various generating units (consisting of a turbine, generator,
and steam supply),the variable operating costs of the unit must
be expressed in terms of the power output.
• Fuel input in Btu/energy output in Kwhr= heat rate
• 1/heat rate = fuel efficiency
5.
6. • If we express the ordinates of the input-output curve in dollars per hour
and let
• fi = input to Unit i , dollars per hour ( $/ h )
• Pgi = output of Unit i , megawatts ( MW)
• if the inputoutput curve of Unit i is quadratic, we can write
7. DISTRIBUTION OF LOAD BETWEEN PLANTS
• In determining the economic distribution of load between
plants, we encounter the need to consider losses in the
transmission lines.
• For a system with K generating units let
• f= f1+f2+………+fk= 𝑖=0
𝑘
𝑓 𝑖
• total megawatt power input to the network from all the units is
the sum
• Pg 1 + Pg 2 + ……+ Pgk= 𝑖=1
𝑘
𝑝 𝑔𝑖
• So the power balance equation is
9. LAMBDA-ITERATION METHOD
• It is a graphical technique to track the optimal incremental cost
to meet the load demand. It is one of the best and efficient
method to solve the ED problem.
10. •This methods work only when incremental cost
curves are linear and generators are at between
their limits
•The method uses unique mapping between a
value of lambda and each generator’s MW output
•The method then starts with values of lambda
below and above the optimal value, and then
iteratively brackets the optimal value.
14. ECONOMIC DISPATCH SUMMARY
• Economic dispatch determines the best way to
minimize the generator operating costs
• The lambda-iteration method is a good and efficient
approach for solving the economic dispatch problem
• The penalty factors are used to consider the impact of
losses.
• Economic dispatch is not concerned with determining
which units to turn on/off .
• Economic dispatch ignores the transmission system
15. REFERENCES
1. Power system analysis / John J. Grainger, William D. Stevenson. p.
cm. Based on: Elements of power system analysis, by William D.
Stevenson. Includes index. ISBN 0-07-061293-5
2. AJ Wood and BF Wollen berg, “Power generation, operation and
control,” New York: John Wiley & Sons Press; 1984.
3. Hadi Saadat, “Power system analysis,” New Delhi: Tata McGraw Hill
Publishing Company; 2002.
4. Vinay Kumar Jadoun, Nikhil Gupta, K. R. Niazi and Anil Swarnkar,
“Dynamically controlled particle swarm optimization for large
scale non-convex economic dispatch problems,” International
Transactions on Electrical Energy and Systems, JohnWiley & Sons,
Ltd., 2014
