paper title optimal power flow considering wheeling charges by n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Paper Title Optimal Power Flow Considering Wheeling Charges By PowerPoint Presentation
Download Presentation
Paper Title Optimal Power Flow Considering Wheeling Charges By

Loading in 2 Seconds...

play fullscreen
1 / 35

Paper Title Optimal Power Flow Considering Wheeling Charges By - PowerPoint PPT Presentation


  • 140 Views
  • Uploaded on

بسم الله الرحمن الرحيم ندوة التعريفات الكهربائيّة – الرياض 17-18 يناير 2008. Paper Title Optimal Power Flow Considering Wheeling Charges By. Outline :. Introduction OPF Classical OPF in Deregulation Wheeling Charge Definition. Wheeling Charge Methods Bialek Tracing Algorithms

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Paper Title Optimal Power Flow Considering Wheeling Charges By' - noelani-robertson


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
paper title optimal power flow considering wheeling charges by

بسم الله الرحمن الرحيم

ندوة التعريفات الكهربائيّة – الرياض

17-18 يناير 2008

Paper Title

Optimal Power Flow Considering Wheeling Charges

By

outline
Outline:
  • Introduction
  • OPF
    • Classical
    • OPF in Deregulation
  • Wheeling Charge
    • Definition.
    • Wheeling Charge Methods
    • Bialek Tracing Algorithms
  • Software Algorithm
  • Case Study
  • Conclusion

ندوة التعريفات الكهربائية

introduction
Power transmission engineers perform many system studies … Stability, Transmission Expansion, Protection, OPF, etc. with objective functions suitable to vertically integrated electricity sectors.

Continuing trend towards deregulation and unbundling of electricity sectors has resulted in the need to reformulate many of power system objectives.

Optimal Power Flow OPF problem has to be reformulated in order to incorporate other objectives that resulted from deregulation such as “Wheeling Chargers”.

Introduction

ندوة التعريفات الكهربائية

classical opf
Classical OPF
  • The classical OPF problem is a constrained optimization problem.
  • Two types of variables appear in this problem,
    • state variables, denoted x, and
    • control variables denoted u .
  • The state variables consist of bus voltage magnitudes and angles.
  • The control variables consist of adjustable quantities such as generator MW, terminal voltage, and transformer taps.

ندوة التعريفات الكهربائية

slide5
The mathematical formulation of the classical OPF problem is the following
    • Minimize c(x,u)
    • Subject to : g(x,u)=0
  • The function is typically generation cost.
  • The equality constraints g(x,u)=0 result from Kirchhoff’s current law. They are written as real and reactive power balance equations at each network node.
  • The inequality constraints f(x,u)<=0 model physical and operational limits on the system components.

ندوة التعريفات الكهربائية

opf output
OPF Output

L2=60MW+j20MVR

A

B

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

gen w var
Gen. W & Var

55.68MW+22.58Mvar

128.091MW+19.947Mvar

L2=60MW+j20MVR

A

B

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

terminal volt
Terminal Volt.

55.68MW+22.58Mvar

128.091MW+19.947Mvar

L2=60MW+j20MVR

A

B

1.03@-3.198

1.077@-2.79

1.1@0

1.07@-2.681

1.034@-5.255

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

lines flow
Lines Flow

55.68MW+22.58Mvar

128.091MW+19.947Mvar

L2=60MW+j20MVR

A

B

1.03@-3.198

1.077@-2.79

1.1@0

19MW

2.6Mvar

84.1MW

11.5Mvar

9.7MW

4.8Mvar

28.8MW

10.8Mvar

42.6MW

14.3Mvar

1.07@-2.681

1.034@-5.255

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

opf in deregulation
OPF In Deregulation

Genco

Genco

Genco

  • Consider a power system in which the generation, transmission and distribution services are unbundled.
  • In this structure, we have competing generation companies, (GENCOS), the regional transmission is operated by an independent system operator (ISO), and the customers are the distribution companies (DISCOS) as well as some large industrial loads.
  • The role of the ISO is to manage the transmission system such that reliable power is provided to the users at a minimum price.

Transco

Tie lines

Disco

Disco

ندوة التعريفات الكهربائية

opf in deregulation1
OPF In Deregulation
  • The OPF objective in deregulation environment has to be

Objective =

Minimize (Fuel Cost + Wheeling Charges)

ندوة التعريفات الكهربائية

wheeling def
Wheeling Def.
  • The term of wheeling is defined as “The use of transmission or distribution facilities of a system to transmit power of and for another entity or entities.”
  • Wheeling costs when applied to a transmission network, also called transmission costs, are the costs charged against generator companies and suppliers for their use of the transmission services.

ندوة التعريفات الكهربائية

wheeling charges methods
Wheeling Charges Methods

LA=60MW+j20MVR

A

B

LB=60MW+j20MVR

ندوة التعريفات الكهربائية

wheeling charges methods1
Wheeling Charges Methods

LA=60MW+j20MVR

A

B

LB=60MW+j20MVR

ندوة التعريفات الكهربائية

wheeling charges methods2
Wheeling Charges Methods

LA=60MW+j20MVR

A

B

A

B

B

B

LB=60MW+j20MVR

ندوة التعريفات الكهربائية

slide16
From Previous Example:
    • It is not fare that Trans. Company charge Supplier (A) similar amount as Supplier (B) even though they generate same amount of Power??? “Postage stamp method”.
    • The usage of transmission network is vary from supplier to supplier based on suppliers and customers locations .
    • Fair Usage-Based Transmission’s cost allocation methods should be adopted for example “MW-Mile Method”.

ندوة التعريفات الكهربائية

mw mile method
MW-Mile Method
  • Power flow calculations are used to determine the actual paths that the power follows through the network.
  • This amount of MW is then multiplied by agreed per-unit cost of transmission capacity to get wheeling charge.
  • How to allocate the cost?
  • From engineering point of view, it is possible and acceptable to apply approximate models or sensitivity indices to estimate the contributions to the network flows from individual users such as Bialek Tracing Algorithm

ندوة التعريفات الكهربائية

bialek tracing algorithm
Bialek Tracing Algorithm
  • Is design for recovery of fixed transmission cost in a pool based market
  • The basic assumption used by tracing algorithms is the proportional sharing principle.
  • it is assumed that the nodal inflows are shared proportionally among the nodal outflows.
  • Extensive studies have shown its capability and efficiency in allocating transmission usage charge among different generators or loads.

ندوة التعريفات الكهربائية

bialek mathematical model
Bialek Mathematical Model

ندوة التعريفات الكهربائية

suppliers contributions
Suppliers Contributions

55.68MW+22.58Mvar

128.091MW+19.947Mvar

L2=60MW+j20MVR

A

B

1.03@-3.198

1.077@-2.79

1.1@0

1

19MW

2.6Mvar

84.1MW

11.5Mvar

9.7MW

4.8Mvar

28.8MW

10.8Mvar

42.6MW

14.3Mvar

2

5

1.07@-2.681

1.034@-5.255

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

suppliers contributions1
Suppliers Contributions

55.68MW+22.58Mvar

128.091MW+19.947Mvar

L2=60MW+j20MVR

A

B

1.03@-3.198

1.077@-2.79

1.1@0

1

19MW

2.6Mvar

84.1MW

11.5Mvar

9.7MW

4.8Mvar

28.8MW

10.8Mvar

42.6MW

14.3Mvar

2

5

1.034@-5.255

1.07@-2.681

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

suppliers contributions2
Suppliers Contributions

55.68MW+22.58Mvar

128.091MW+19.947Mvar

L2=60MW+j20MVR

A

B

1.03@-3.198

1.077@-2.79

1.1@0

1

19MW

2.6Mvar

84.1MW

11.5Mvar

9.7MW

4.8Mvar

28.8MW

10.8Mvar

4.388MW

42.6MW

14.3Mvar

2

5

1.034@-5.255

1.07@-2.681

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

suppliers contributions3
Suppliers Contributions

55.68MW+22.58Mvar

128.091MW+19.947Mvar

L2=60MW+j20MVR

A

B

1.03@-3.198

1.077@-2.79

1.1@0

1

19MW

2.6Mvar

84.1MW

11.5Mvar

9.7MW

4.8Mvar

28.8MW

10.8Mvar

4.388MW

42.6MW

14.3Mvar

38.292MW

2

5

1.034@-5.255

1.07@-2.681

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

suppliers contributions4
Suppliers Contributions

55.68MW+22.58Mvar

128.091MW+19.947Mvar

L2=60MW+j20MVR

A

B

1.03@-3.198

1.077@-2.79

1.1@0

1

19MW

2.6Mvar

84.1MW

11.5Mvar

9.7MW

4.8Mvar

28.8MW

10.8Mvar

4.388MW

42.6MW

14.3Mvar

38.292MW

2

5

1.034@-5.255

1.07@-2.681

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

suppliers contributions5
Suppliers Contributions

55.68MW+22.58Mvar

128.091MW+19.947Mvar

L2=60MW+j20MVR

A

B

1.03@-3.198

1.077@-2.79

1.1@0

1

19MW

2.6Mvar

84.1MW

11.5Mvar

9.7MW

4.8Mvar

28.8MW

10.8Mvar

84.1 MW

4.388MW

42.6MW

14.3Mvar

38.292MW

2

5

1.034@-5.255

1.07@-2.681

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

suppliers contributions6
Suppliers Contributions

55.68MW+22.58Mvar

128.091MW+19.947Mvar

L2=60MW+j20MVR

A

B

1.03@-3.198

1.077@-2.79

1.1@0

1

19MW

2.6Mvar

84.1MW

11.5Mvar

9.7MW

4.8Mvar

28.8MW

10.8Mvar

84.1 MW

0.0 MW

4.388MW

42.6MW

14.3Mvar

38.292MW

2

5

1.034@-5.255

1.07@-2.681

L2=50MW+j10MVR

L2=70MW+j30MVR

ندوة التعريفات الكهربائية

where does the opf play a role in all of this
Where does the OPF play a role in all of this???

ندوة التعريفات الكهربائية

slide28
In Centralized or pool-based trading system, producers and customers submit their bids and offers to the system operator, who also acts as market operator.
  • The system operator which must be independent from all the other parties, selects the bids and offers based on OPF calculation that optimally clear the market while respecting the security constraints imposed by the transmission network.

ندوة التعريفات الكهربائية

developed software
Developed Software

Network Data

Optimization Algorithm

POS

Objective Function

Propose a solutions

Run Newton Raphson LF

Revise solutions

Using PSO Subroutine

Power Flow Result

Run Bialek Model

To find each Gen

contribution for all lines

No

Check for

optimal

yes

Calculate the fuel cost +

wheeling cost

Print Result

ندوة التعريفات الكهربائية

case study
Case Study
  • 6-Bus system
  • Two Objective Function
    • F1=Minimize (fuel cost)
    • F2=minimize (fuel cost+ wheeling cost)
  • Output:
    • Transmission Cost allocation
    • Fuel cost
    • Total cost

ندوة التعريفات الكهربائية

simulation result
Simulation Result

ندوة التعريفات الكهربائية

simulation result1
Simulation Result

ندوة التعريفات الكهربائية

conclusion
Conclusion
  • This paper uses optimization technique as the dispatch algorithm for the economic dispatch problem, considering the wheeling charges.
  • The wheeling charges are calculated with a power flow based MW-Mile approach, where the power tracing from each generator is carried out using the Bialek’s tracing method.

ندوة التعريفات الكهربائية

slide34
The proposed OPF algorithm is tested on a small test system, showing that the optimization algorithm is capable of dealing with non-linear and multi-objective problems.
  • The OPF algorithm can be scaled up as a useful tool for transmission companies to dispatch power at the least possible cost, where the cost to be minimized includes both fuel and wheeling cost.

ندوة التعريفات الكهربائية

thank you

Thank you

The Floor is Open for Discussion