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Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University PSERC Webinar December 11, 2012

Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

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Page 1: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Using Active Customer Participation in Managing Distribution Systems

Visvakumar Aravinthan Assistant Professor

Wichita State University

PSERC Webinar

December 11, 2012

Page 2: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Outline

� Introduction to distribution advancement

� Limitations with current operation states

o Some examples

� Improving reliability of the systems

� Active consumer participation

� How to unify consumer participation with

distribution operation

2

Page 3: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Smart GridDistribution Advancement

Introduction

3

Page 4: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Smart Grid

� What would be new in smart grid1

o Self-healing from power disturbance events

o Enabling consumer active participation

o Resilient against physical and cyber attack

o Power quality for 21st century needs

o Accommodating all generation and storage

o New products, services, and markets

o Optimizing assets and operating efficiently

4

[1] Department of Energy, Online: http://energy.gov/oe/technology-development/smart-grid

Page 5: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Current State

5

Gen. Trans. Dis. Con.

Self-healing

Consumer participation

Physical and cyber attacks

Power quality

Generation and storage

Markets

Asset Management

Page 6: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distribution: What Can Be Done?

6

ISO

New Operation- Measurements - Communication - Control paradigms- Components - Data management

Price Info.Emergency Operation

Load expectation State of operation

DSM- Consumer acceptance

- Price elastic load- Data sharing issues

Distributed Resources

Reliability - Component life- Consumer satisfaction

Self – healing - Consumer awareness- DSM to manage load

shedding

Emission Mitigation

Market enabled - Flexible grid - Efficiency

Directives- Distribution pricing- Direct control

Page 7: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distribution

Advancement

Distribution: Advancement

7

Page 8: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distribution

Advancement

Distribution: Advancement

8

Page 9: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distribution

Advancement

Distribution: Advancement

9

Page 10: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distribution

Advancement

Distribution: Advancement

10

Page 11: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distribution

Advancement

Distribution: Advancement

11

Page 12: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Consumer Participation

DSM

Objectives

Load

Shape

Request

Data

Request

12

Page 13: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Consumer Participation

DSM

Objectives

Load

Shape

Request

Data

Request

Regulatory

Requirements

13

Page 14: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Consumer Participation

DSM

Objectives

Load

Shape

Request

Data

RequestC

on

sum

er

Priv

acy Regulatory

Requirements

14

Page 15: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Imp

act

An

aly

sis

Utility Cost Benefit

Analysis

Consumer Participation

DSM

Objectives

Load

Shape

Request

Data

RequestC

on

sum

er

Priv

acy Regulatory

Requirements

15

Page 16: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distribution OperationExamples

16

Page 17: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Reliability

17

Low level

anomalies

for 6 days Animal Contact Power restored

in 1 hour

[1] R. Moghe, M. Mousavi, J. Stoupis, J. McGowan, “Field investigation and analysis of incipient faults leading to a catastrophic failure in an underground distribution feeder,” in Proc.

of Power Systems Conference and Exposition (PSCE), Seattle, Washington, May 2009

[2] D Russell, R. Cheney, T. Anthony, C. Benner, C. Wallis and W. Muston, “Reliability Improvement of Distribution Feeders”, In proc. 2009 IEEE PES General Meeting, Calgary

Canada, July 2009.

� In a power systemo Lots of data available

o Little information extracted

� Example 1: Moghe et. al.

� Example 2: Russell et. al.

Page 18: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Reliability

18[1] S. Argade, V. Aravinthan, and W. Jewell “Probabilistic Modeling of EV Charging and its Impact on Distribution Transformer Loss of Life ,” in Proc. 1st IEEE International Electric

Vehicle Conference, March 2012

� Electric Vehicle Charging o Different charging loads on a distribution transformer

o Loss of life of distribution transformers

0

0.5

1

1.5

0:00 6:00 12:00 18:00 0:00

Po

we

r C

on

sum

pti

on

(kW

)

No Electric VehiclesAll Charging at Same Time1/2 hour delay in chargingRandom Charginglate Night (Controlled)

Page 19: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Reliability

19[1] V. Ravindran, V. Aravinthan, and W. Jewell “Impacts of High Penetration Distributed PV Sources on Voltage Regulation,” in Proc. 43rd Frontiers of Power Conference, Oct. 2012

� Voltage regulator operations

o Distributed generation at feeder/lateral level

o IEEE 13 bus system

o Distributed solar PV at 40% penetration

0.0

0.2

0.4

0.6

0.8

1.0

0.9

0 500000 1000000 1500000

BASE CASE

Electrotek Concepts® TOP, The Output Processor®

SIT

E1-V

A_W

F (V

)

SIT

E1-V

A_W

F (V

)

Time (ms)

LOAD PROFILE TAP CHANGES

0.0

0.2

0.4

0.6

0.8

1.0

0.9

1.1

0 500000 1000000 1500000

Electrotek Concepts® TOP, The Output Processor®

SIT

E1-V

A_W

F (V

)

SIT

E1-V

A_W

F (V

)

Time (ms)

PV LOADSHAPE TAP CHANGE

0.0

0.5

1.0

1.5

2.0

0.9

0 500000 1000000 1500000

BASE CASE WITH PV

Electrotek Concepts® TOP, The Output Processor®

LO

AD

SH

APE

-VA

_W

F (V

)

TA

PC

HA

NG

E-V

A_W

F (V

)

Time (ms)

PV LOADSHAPE TAPCHANGE

Increase

Page 20: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distributed Generation

� Impacts of geographically scattered DGs

o Voltage rise with 30% PV penetration on IEEE 123 test feeder

20[1] V. Ravindran, V. Aravinthan, and W. Jewell “Impacts of High Penetration Distributed PV Sources on Voltage Regulation,” in Proc. 43rd Frontiers of Power Conference, Oct. 2012

Page 21: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distributed Generation

21[1] V. Ravindran, V. Aravinthan, and W. Jewell “Impacts of High Penetration Distributed PV Sources on Voltage Regulation,” in Proc. 43rd Frontiers of Power Conference, Oct. 2012

Note: Red – below 1 p.u, Green – 1-1.02 p.u, Blue – above 1.02 p.u

Base Case

30% PV Penetration

Page 22: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distribution Automation

22

� Location on the Feeder and the Frequency

o 5 houses connected to a single transformer

5 houses connected to a transformer

Hot Summer day in Kansas

1 minute average

Page 23: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distribution Automation

� Location on the Feeder and the Frequency

o 5 houses connected to a single transformer

5 houses connected to a transformer

Hot Summer day in Kansas

5 minute average

23

Page 24: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Distribution Automation

� Location on the Feeder and the Frequency

o 5 houses connected to a single transformer

o Is the missed information useful …

24

Page 25: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Future Needs

25

� How to connect distribution necessities with

active consumer participation

o Utility

• Improve distribution system operation with better

observability

• Connection between DG to load

o Consumer

• Looks for maximum satisfaction

• Would not like to share the information

Distribution Reliability

System Requirements Dynamic Pricing

Consumer Participation

Page 26: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Smart GridDistribution Operation

Reliability Based Operations

26

Page 27: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Condition Assessment

27

� To improve distribution

reliability requires a tool

to determine condition of

components

o Lack of communication limits assessments

� Observing failure modes

improve assessment

o Identify criteria that are observable

Criterion

Gen

eral

Age of the Transformer

Experience with Transformer

Noise Level

Loading Condition

Core & Winding Losses

Win

din

g

Condit

ion Winding Turns Ratio

Condition of Winding

Condition of Solid Insulation

Partial Discharge (PD) Test

Oil

Condit

ion Gas in Oil

Water in Oil

Acid in Oil

Oil Power Factor

Physi

cal

Condit

ion Condition of Tank

Condition of Cooling System

Condition of Tap Changer

Condition of Bushing

[1] V. Aravinthan, W. Jewell, and W. Jewell “Identifying worst performing components in a distribution system using Weibull distribution,” in Proc. 11th International Conference on

Probabilistic Methods Applied to Power Systems, June. 2010

Page 28: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Condition Assessment

28

� Develop a failure rate function for each

criterion using

o Historic data if available

o Else, standards or guidelines if available

o Else, hypothetical functions (experience)

� Historic Data (Transformer)

o Example: Age of the component

[1] V. Aravinthan, W. Jewell, and W. Jewell “Identifying worst performing components in a distribution system using Weibull distribution,” in Proc. 11th International Conference on

Probabilistic Methods Applied to Power Systems, June. 2010

Page 29: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Condition Assessment

29

� Develop a failure rate function for each

criterion using

o Historic data if available

o Else, standards or guidelines if available

o Else, hypothetical functions (experience)

� Historic Data (Transformer)

o Example: Gas in the oil

[1] V. Aravinthan, W. Jewell, and W. Jewell “Identifying worst performing components in a distribution system using Weibull distribution,” in Proc. 11th International Conference on

Probabilistic Methods Applied to Power Systems, June. 2010

Status TDCG (ppk) Remarks

1 < 0.72 Normal aging of oil

2 0.72 – 1.92 excess oil aging

3 1.92 – 4.63 Excessive oil aging

4 > 4.63 Very poor oil condition

StandardsEg: IEEE std. C57.104-2008

• Define R(t) for 2 status or

• Define R(t) for 1 status and 1

parameter

Find the unknown parameters

Page 30: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Condition Assessment

30

� Develop a failure rate function for each

criterion using

o Historic data if available

o Else, standards or guidelines if available

o Else, hypothetical functions (experience)

� Historic Data (Transformer)

o Example: Location of the transformer

[1] V. Aravinthan, W. Jewell, and W. Jewell “Identifying worst performing components in a distribution system using Weibull distribution,” in Proc. 11th International Conference on

Probabilistic Methods Applied to Power Systems, June. 2010

No enough

informationF – Total no of transformers failed

s – Total no of similar transformers handled

SF – Total no of similar transformers failed

SU – Total no of similar transformers with unknown

cause

Page 31: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Condition Assessment

31[1] V. Aravinthan, W. Jewell, and W. Jewell “Identifying worst performing components in a distribution system using Weibull distribution,” in Proc. 11th International Conference on

Probabilistic Methods Applied to Power Systems, June. 2010

� Problem: Not all criteria have equal influence on

component failure !!!

� Solution: Use weighted reliability function

o Weighted Reliability Function

� Once the weighted reliability functions are known

o Series parallel topology for component

� Quantitative: Component Condition Score

� Qualitative: Component Condition Report:

Example: Distribution Transformer

Page 32: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Condition Assessment

32[1] V. Aravinthan, W. Jewell, and W. Jewell “Identifying worst performing components in a distribution system using Weibull distribution,” in Proc. 11th International Conference on

Probabilistic Methods Applied to Power Systems, June. 2010

No

rmal

10

0-9

0 %

Defective 90–80 %

Fau

lty 2

0–

10

%

Fai

led

10

–0

%

Fai

r

Mil

d

Sat

isfa

cto

ry

Sta

ble

Ser

iou

s

Cri

tica

l

Ex

trem

ely C

riti

cal

Age: 18 yrs TDCG: 1.8 ppk SF=40, S

U=10, F=90 & s=60

Page 33: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Electric Vehicle Charging

24 Bus IEEE Reliability

Test System

13 Bus IEEE Test Feeder

• Assumed 20% EV Penetration in

Busses Zone 3, 4, 5.

• Type 1 charging assumed, slow

charging will contribute to

minimum impact on the system

• Renewable generation / storage is

included to at Bus 8 for the 3rd part

33

Page 34: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Electric Vehicle Charging

� Two levels of optimization,

o Level 1: Schedule day ahead charging (request sent by consumers in advance)

• Objective: Minimize the system average

interruption duration index (SAIDI) (maximize

performance)

• Constraints:

• Transmission congestion

• All vehicles requesting charging are charged

• All vehicles are charged when they are available

• None of the system components are overloaded

34

Page 35: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Electric Vehicle Charging

� Two levels of optimization,

o Level 2: Find the maximum number of vehicles charged in real time

• Objective: Maximize the number of vehicles that

could be charged

• Constrains:

• Acceleration of loss of life of the transformer

• Maximum cap on the CO2 emission

• Optimum number of vehicles from level 1 is charged

35

Page 36: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Zone 5: Moderately loaded feeder section

Part 1: No renewable, same level of CO2 emission as traditional vehicles allowed

Electric Vehicle Charging

36

Page 37: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Zone 5: Moderately loaded feeder section

Part 2: With renewable 80% of CO2 emission as traditional vehicles allowed

Electric Vehicle Charging

37

Page 38: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Smart GridDistribution Advancements

Consumer Participation

38

Page 39: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Active Consumer Participation

39

� Coordinating EV charging

o Develop a price model to control the EV charging time• Assume that there are ��

�number of vehicles that could be

charged without degrading the performance at time i

� Vehicles could schedule charging time one day ahead

• What if there are more vehicles wanting to be charged

o Two level of pricing one for vehicles scheduled other of the additional vehicles

• Objective is to minimize both the prices

Page 40: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Active Consumer Participation

40

� Limiting Factors

o Consumers prefer to charge at convenience

• Generally consumer

anxiety increases if the

charging is delayed

o Limit consumers who are not satisfied

• More charge more

anxiety

• More availability less

anxiety

Page 41: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Active Consumer Participation

41

� Limiting Factors

o Price:

o Component Condition

• Most critical component: Transformer

• based on IEEE std. C51.97 transformer hotspot

temperature should be limited to

�� > ������� + � ��� + ���������

Reference PriceAdditional Power Loss

due to Large Loads

Distribution

Overloading

�� + ���� + ��� < ����

Ambient Temp.

.Top oil temp. rise

over ambient

Hot spot temp. rise

over top oil

Page 42: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Active Consumer Participation

42

� How consumer anxiety affects additional

EVs connected to the grid

Page 43: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Active Consumer Participation

43

� Distributed generation for improvement in

performance

o Example: Minimize the feeder power loss with the DG penetration

• Using exact lumped model

o Allow DGs with active power control mode

o Reactive power is supplied to minimize power loss

o But maximum power factor is limited at generation

Page 44: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Active Consumer Participation

44

� For the IEEE 13 bus feeder

� For the IEEE 34 bus feeder

0

25

50

75

100

6 11 16

Po

wer

Lo

ss (

Kw

)

Time (h)

At 0.9pf limit

At 0.95pf limit

0

10

20

30

6 11 16

Po

wer

Lo

ss (

Kw

)

Time (h)

At 0.9pf limit

At 0.95pf limit

Page 45: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Smart GridDistribution Operation

Connecting Both Together

45

Page 46: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

� Consumer participation

� EV charging

� Condition (Reliability) based reconfiguration

� Operating beyond IEEE 1547 (reactive power control)

Unification

46

Time of the Day Time of the Day

Lo

ad

Lo

ad

Load Shifting Flexible Loading

Distribution Transformer

Page 47: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Thank you

47

[email protected]

Page 48: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Support Slides

48

Page 49: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Condition Assessment

49[1] V. Aravinthan, W. Jewell, and W. Jewell “Identifying worst performing components in a distribution system using Weibull distribution,” in Proc. 11th International Conference on

Probabilistic Methods Applied to Power Systems, June. 2010

• Lets assume oil is bad

and TDCG 4 ppk

Criterion Weight R(t)

Faults seen by the transformer 0.70 0.80 0.860

Geographical location 0.60 0.90 0.940

loading 0.80 0.80 0.840

Age 0.90 0.76 0.784

Noise 0.40 0.90 0.960

Condition of winding 0.90 0.80 0.820

PD test 0.50 0.82 0.910

Core and winding loss 0.80 0.80 0.840

Condition of solid insulation 0.80 0.88 0.904

Tap changer condition 0.60 0.91 0.946

Winding turns ratio 0.70 0.95 0.965

Gas in oil 0.90 0.12 0.108

water in oil 0.90 0.87 0.883

Acid in oil 0.90 0.89 0.901

Oil PF 0.90 0.90 0.910

Tank condition 0.90 0.92 0.928

bushing condition 0.90 0.90 0.910

hot spot temperature 0.70 0.80 0.860

cooling system 0.70 0.80 0.860

Experience 0.50 0.03 0.515

No

rmal

10

0-9

0 %

Defective 90–80 %

Fau

lty

20

–1

0 %

Fai

led

10

–0

%

Fai

r

Mil

d

Sat

isfa

cto

ry

Sta

ble

Ser

iou

s

Cri

tica

l

Ex

trem

ely C

riti

cal

Page 50: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Zone 5: Moderately loaded feeder section

Part 2: No renewable 80% of CO2 emission as traditional vehicles allowed

Electric Vehicle Charging

50

Page 51: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Active Consumer Participation

51

� How location would influence the price

Page 52: Using Active Customer Participation in Managing ...Using Active Customer Participation in Managing Distribution Systems Visvakumar Aravinthan Assistant Professor Wichita State University

Active Consumer Participation

52

� For the IEEE 13 bus feeder

0

0.2

0.4

0.6

0.8

1

0 4 8 12 16 20 24

Po

wer

(p.u

.)

Time (h)

Load1 PV

0

50

100

150

200

6 11 16Cu

rren

t (A

mp

ere

)

Time (h)

Iag1 Iag2 Iag3

0

50

100

150

200

6 11 16

Cu

rren

t (a

mp

ere

s)

Time (h)

Iag1 Iag2 Iag3