Amir-Hamed Mohsenian-Rad, Jan Mietzner , Robert Schober, and Vincent W.S. Wong
Advanced Monitoring and Data Analytics in Power ... in Power Distribution Systems Hamed...
Transcript of Advanced Monitoring and Data Analytics in Power ... in Power Distribution Systems Hamed...
Advanced Monitoring and Data Analytics in Power Distribution Systems
Hamed Mohsenian-Rad
Associate Professor, Electrical Engineering, University of California, RiversideAssociate Director, Winston Chung Global Energy Center
Director, UC-National Lab Center for Power Distribution Cyber SecurityDirector, Smart Grid Research Lab
Talk at UCR Solar Conference, 3/1/2018
Acknowledgements: A. Shahsavari, M. Farajollahi, Z. Taylor, E. Stewart, E. Cortez, A. Van-Meier, L. Alvarez, C. Roberts, F. Megala, S. Ula, H. Akhavan-Hejazi, A. Martinez-Morales, M. Barth
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 1 / 26
Power Grid
WesternInterconnection
Grand Coulee Dam
CAISO Control Room Palo Verde Nuclear Power Plant
230 kV Substation
City of Riverside (Population: 300,000)
Substation
โฆโฆ
Grid Edge
69 kV / 12 kV
โฅ 230 kV
Transmission
Distribution
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 2 / 26
Power Distribution and Distributed Energy Resources
HunterSubstation
Circuit #1224 (12 kV)
1 MWh / 200 kW
460 kW
460 kW
UCR CE-CERT/ WCGEC
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 3 / 26
Power Distribution and Distributed Energy Resources
HunterSubstation
Circuit #1224 (12 kV)
1 MWh / 200 kW
460 kW
460 kW
UCR CE-CERT/ WCGECData Stream (1 min)
SCADA
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 4 / 26
Load Profile of Distribution Feeders
SCADA: Circuit #1224 (12 kV)
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 5 / 26
DER Signatures
Coordinated Measurements: Circuit #1224 (12 kV)
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 6 / 26
DER Optimization
Stochastic Online Optimization: Feeder Peak Load Shaving
97 kW
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 7 / 26
Power Grid
WesternInterconnection
Grand Coulee Dam
CAISO Control Room Palo Verde Nuclear Power Plant
230 kV Substation
City of Riverside (Population: 300,000)
Substation
โฆโฆ
Grid Edge
69 kV / 12 kV
โฅ 230 kV
Transmission
Distribution
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 7 / 26
Power Grid
WesternInterconnection
Grand Coulee Dam
CAISO Control Room
Transmission Lines
Substations
Palo Verde Nuclear Power Plant
๐ฃ ๐ก = ๐ cos(๐๐ก + โ ๐)
๐ โ ๐
Phasor Representation
โฅ 230 kV
Transmission
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 8 / 26
Measuring Phasors
PMU Sensor
FFT โฆ Fundamental Component
๐ฃ ๐ก = ๐ cos(๐๐ก + โ ๐)
๐ โ ๐
Phasor Representation
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 8 / 26
Measuring Phasors
PMU Sensor
FFT โฆ Fundamental Component
๐ฃ ๐ก = ๐ cos(๐๐ก + โ ๐)
๐ โ ๐
Phasor Representation
TimeReference
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 8 / 26
Measuring Phasors
PMU Sensor
FFT โฆ Fundamental Component
๐ฃ ๐ก = ๐ cos(๐๐ก + โ ๐)
๐ โ ๐
Phasor Representation
TimeReference
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 8 / 26
Measuring Phasors
PMU Sensor
FFT โฆ Fundamental Component
๐ฃ ๐ก = ๐ cos(๐๐ก + โ ๐)
๐ โ ๐
Phasor Representation
TimeReference
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 8 / 26
Measuring Phasors
PMU Sensor
FFT โฆ Fundamental Component
๐ฃ ๐ก = ๐ cos(๐๐ก + โ ๐)
๐ โ ๐
Phasor Representation
TimeReference
GPS Satellites
Synchro
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 9 / 26
Application of Synchrophasors
30 fps
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 9 / 26
Application of Synchrophasors
๐12 โ ร๐1 โร๐2
30 fps
RPAD
200 Miles
Bus 1
ร๐1
๐1 ร๐1
Bus 212P
๐2 ร๐2ร๐2
0.59 Hz0.64 HzInter-area Oscillations
Stability Analysis
Model Validation
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 10 / 26
Application of Synchrophasors
๐๐
๐๐กโ ๐Supplyโ๐Demand
GPS-SynchronizedFrequency Measurements
Power Plant Location
Sensor Location
Loss of Power PlantWesternInterconnection
GPS-SynchronizedFrequency Measurements
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 11 / 26
Power Grid
WesternInterconnection
Grand Coulee Dam
CAISO Control Room Palo Verde Nuclear Power Plant
230 kV Substation
City of Riverside (Population: 300,000)
Substation
โฆโฆ
Grid Edge
69 kV / 12 kV
โฅ 230 kV
Transmission
Distribution
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 11 / 26
Power Grid
WesternInterconnection
Grand Coulee Dam
CAISO Control Room Palo Verde Nuclear Power Plant
230 kV Substation
City of Riverside (Population: 300,000)
Substation
โฆโฆ
Grid Edge
69 kV / 12 kV
โฅ 230 kV
Transmission
Distribution
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 11 / 26
Power Grid
WesternInterconnection
Grand Coulee Dam
CAISO Control Room Palo Verde Nuclear Power Plant
230 kV Substation
City of Riverside (Population: 300,000)
Substation
โฆโฆ
Grid Edge
69 kV / 12 kV
โฅ 230 kV
Transmission
Distribution
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 12 / 26
Distribution Synchrophasors
โข New Technology
โข Augmented PMUs or Power Quality Sensors
โข Features
โข Reporting Rate: 120 fps
โข Three-Phase
โข Both Voltage and Current
โข Deployment
โข Few pilot projects, including in Riverside, CA
โข Advantages and Applications
โข Yet to be Explored
D-PMUs /
Micro-PMUs (PSL)
100,000 More Data Points than Smart Meter
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 13 / 26
Distribution Synchrophasors
Medium Voltage Low Voltage
Circuit 6
...
...
Substation: 69 kV / 12 kV
OLTC Fuse
Cap Bank
CircuitBreaker
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 13 / 26
Distribution Synchrophasors
Circuit 6
...
...
Substation: 69 kV / 12 kV
OLTC Fuse
Cap Bank
CircuitBreaker
Medium Voltage Low Voltage
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 13 / 26
Distribution Synchrophasors
Circuit 6
...
...
Substation: 69 kV / 12 kV
OLTC Fuse
Cap Bank
CircuitBreaker
Medium Voltage Low Voltage
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 13 / 26
Distribution Synchrophasors
Circuit 6
...
...
Substation: 69 kV / 12 kV
OLTC Fuse
Cap Bank
CircuitBreaker
Medium Voltage Low Voltage
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 14 / 26
Event/Signature Analysis
Sensor
Phase A
120 fps
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 14 / 26
Event/Signature Analysis
Sensor
Phase A
120 fps
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 14 / 26
Event/Signature Analysis
Sensor
120 fps
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 14 / 26
Event/Signature Analysis
Sensor
120 fps
Question: Is this event worth studying?
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 15 / 26
Problem Statement
Distribution Substation
OtherFeeders
โฆ
1 2
3-5
8-1
2
6 7 13
14-19
20 28 29 30
21
-27
๐ผ๐ข โ ๐ผ๐ข๐๐ข โ ๐๐ข,
Questions:
1. What is the source location of this event?
2. What can we learn from this event?
๐ผ๐ โ ๐ผ๐๐๐ โ ๐๐ ,
Upstream Downstream
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 16 / 26
Background: Compensation Theory
_+ V
_+
Vpre
Ipre Z
pre
_+ V
post
Ipost Z
post
Vposts V
postr
Ipostsr
Vpre
s Vpre
rI
presr
Vs Vr Isr
I
Pre-Event
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 16 / 26
Background: Compensation Theory
_+ V
_+
Vpre
Ipre Z
pre
_+ V
post
Ipost Z
post
Vposts V
postr
Ipostsr
Vpre
s Vpre
rI
presr
Vs Vr Isr
I
Pre-Event
Event
Post-Event
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 16 / 26
Background: Compensation Theory
_+ V
_+
Vpre
Ipre Z
pre
_+ V
post
Ipost Z
post
Vposts V
postr
Ipostsr
Vpre
s Vpre
rI
presr
Vs Vr Isr
I
Pre-Event
Event
Post-Event
V_
+
Vr Isr
I
Equivalent Circuit
โ๐ = ๐๐๐๐ ๐ก โ ๐๐๐๐
โ๐ผ = ๐ผ๐๐๐ ๐ก โ ๐ผ๐๐๐
Sou
rces
Rem
ove
d
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 17 / 26
Step 1: Extract Differential Synchrophasors
Upstream Sensor Downstream Sensor
๐ผ๐ขโ ๐ผ๐ข
๐๐ข
โ ๐๐ข
๐ผ๐โ ๐ผ๐
๐๐
โ ๐๐
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 17 / 26
Step 1: Extract Differential Synchrophasors
Upstream Sensor Downstream Sensor
๐ผ๐ขโ ๐ผ๐ข
๐๐ข
โ ๐๐ข
๐ผ๐โ ๐ผ๐
๐๐
โ ๐๐
โ๐ผ๐ข โ โ๐ผ๐ข
Pre
-Eve
nt
Post
-Eve
nt
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 17 / 26
Step 1: Extract Differential Synchrophasors
Upstream Sensor Downstream Sensor
๐ผ๐ขโ ๐ผ๐ข
๐๐ข
โ ๐๐ข
๐ผ๐โ ๐ผ๐
๐๐
โ ๐๐
โ๐ผ๐ข โ โ๐ผ๐ข
Pre
-Eve
nt
Post
-Eve
nt
โ๐๐ข โ โ๐๐ข
Pre
-Eve
nt
Post
-Eve
nt
โ๐ผ๐ โ โ๐ผ๐P
re-E
ven
t
Post
-Eve
nt
โ๐๐ โ โ๐๐
Pre
-Eve
nt
Post
-Eve
nt
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 18 / 26
Step 2: Forward Nodal Voltage Calculation
โ๐1๐= โ๐๐ข
โ๐2๐= โ๐1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐๐1
โฎ
โ๐๐๐= โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
๐: Event Bus (Unknown)Forward
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 18 / 26
Step 2: Forward Nodal Voltage Calculation
โ๐1๐= โ๐๐ข
โ๐2๐= โ๐1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐๐1
โฎ
โ๐๐๐= โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
Forward ๐: Event Bus (Unknown)
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 18 / 26
Step 2: Forward Nodal Voltage Calculation
โ๐1๐= โ๐๐ข
โ๐2๐= โ๐1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐๐1
โฎ
โ๐๐๐= โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
Forward ๐: Event Bus (Unknown)
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 18 / 26
Step 2: Forward Nodal Voltage Calculation
โ๐1๐= โ๐๐ข
โ๐2๐= โ๐1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐๐1
โฎ
โ๐๐๐= โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
Pseudo-Measurements
Forward ๐: Event Bus (Unknown)
(Feeder Data, Transformer Ratings)
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 18 / 26
Step 2: Forward Nodal Voltage Calculation
โ๐1๐= โ๐๐ข
โ๐2๐= โ๐1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐๐1
โฎ
โ๐๐๐= โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
Forward ๐: Event Bus (Unknown)
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 18 / 26
Step 2: Forward Nodal Voltage Calculation
โ๐1๐= โ๐๐ข
โ๐2๐= โ๐1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐๐1
โฎ
โ๐๐๐= โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
Forward
โ๐๐+1๐
= โ๐๐๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐+ โ๐ผ๐ ๐๐
Event Current (Unknown)
๐: Event Bus (Unknown)
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 18 / 26
Step 2: Forward Nodal Voltage Calculation
โ๐1๐= โ๐๐ข
โ๐2๐= โ๐1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐๐1
โฎ
โ๐๐๐= โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
Forward
โ๐๐+1๐
โ โ๐๐๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐+ ๐๐โ๐๐
๐๐๐
Incorrect
๐: Event Bus (Unknown)
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 18 / 26
Step 2: Forward Nodal Voltage Calculation
โ๐1๐= โ๐๐ข
โ๐2๐= โ๐1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐๐1
โฎ
โ๐๐๐= โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
Forward
โ๐๐+1๐
โ โ๐๐๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐+ ๐๐โ๐๐
๐๐๐
๐: Event Bus (Unknown)
โ๐๐๐โ โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
โฎ
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 18 / 26
Step 2: Forward Nodal Voltage Calculation
โ๐1๐= โ๐๐ข
โ๐2๐= โ๐1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐๐1
โฎ
โ๐๐๐= โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
Forward
โ๐๐+1๐
โ โ๐๐๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐+ ๐๐โ๐๐
๐๐๐
๐: Event Bus (Unknown)
I
โ๐๐๐โ โ๐๐โ1
๐+ โ๐ผ๐ข + ๐1โ๐1
๐+โฏ+ ๐๐โ1โ๐๐โ1
๐๐๐โ1
โฎ
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 19 / 26
Step 3: Backward Nodal Voltage Calculation
โ๐๐โ1๐ = โ๐๐
๐ + โ๐ผ๐ + ๐๐โ๐๐๐ ๐๐โ1
โฎ
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
๐: Event Bus (Unknown) Backward
โ๐๐๐ = โ๐๐
โ๐๐๐ = โ๐๐+1
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ ๐๐
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 19 / 26
Step 3: Backward Nodal Voltage Calculation
โ๐๐โ1๐ = โ๐๐
๐ + โ๐ผ๐ + ๐๐โ๐๐๐ ๐๐โ1
โฎ
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
๐: Event Bus (Unknown) Backward
โ๐๐๐ = โ๐๐
โ๐๐๐ = โ๐๐+1
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ ๐๐
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 19 / 26
Step 3: Backward Nodal Voltage Calculation
โ๐๐โ1๐ = โ๐๐
๐ + โ๐ผ๐ + ๐๐โ๐๐๐ ๐๐โ1
โฎ
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
๐: Event Bus (Unknown) Backward
โ๐๐๐ = โ๐๐
โ๐๐๐ = โ๐๐+1
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ ๐๐
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 19 / 26
Step 3: Backward Nodal Voltage Calculation
โ๐๐โ1๐ = โ๐๐
๐ + โ๐ผ๐ + ๐๐โ๐๐๐ ๐๐โ1
โฎ
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
๐: Event Bus (Unknown) Backward
โ๐๐๐ = โ๐๐
โ๐๐๐ = โ๐๐+1
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ ๐๐
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 19 / 26
Step 3: Backward Nodal Voltage Calculation
โ๐๐โ1๐ = โ๐๐
๐ + โ๐ผ๐ + ๐๐โ๐๐๐ ๐๐โ1
โฎ
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
๐: Event Bus (Unknown) Backward
โ๐๐๐ = โ๐๐
โ๐๐๐ = โ๐๐+1
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ ๐๐
โ๐๐โ1๐ = โ๐๐
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ + โ๐ผ๐ ๐๐โ1
Event Current (Unknown)
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 19 / 26
Step 3: Backward Nodal Voltage Calculation
โ๐๐โ1๐ = โ๐๐
๐ + โ๐ผ๐ + ๐๐โ๐๐๐ ๐๐โ1
โฎ
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
๐: Event Bus (Unknown) Backward
โ๐๐๐ = โ๐๐
โ๐๐๐ = โ๐๐+1
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ ๐๐
โ๐๐โ1๐ โ โ๐๐
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ + ๐๐โ๐๐๐ ๐๐โ1
Incorrect
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 19 / 26
Step 3: Backward Nodal Voltage Calculation
โ๐๐โ1๐ = โ๐๐
๐ + โ๐ผ๐ + ๐๐โ๐๐๐ ๐๐โ1
โฎ
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
๐: Event Bus (Unknown) Backward
โ๐๐๐ = โ๐๐
โ๐๐๐ = โ๐๐+1
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ ๐๐
โ๐๐โ1๐ โ โ๐๐
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ + ๐๐โ๐๐๐ ๐๐โ1
โ๐1๐ โ โ๐2
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐2โ๐2
๐ ๐1
โฎ
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 19 / 26
Step 3: Backward Nodal Voltage Calculation
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
๐: Event Bus (Unknown) Backward
II
โ๐๐โ1๐ = โ๐๐
๐ + โ๐ผ๐ + ๐๐โ๐๐๐ ๐๐โ1
โฎ
โ๐๐๐ = โ๐๐
โ๐๐๐ = โ๐๐+1
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ ๐๐
โ๐๐โ1๐ โ โ๐๐
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐๐+1โ๐๐+1
๐ + ๐๐โ๐๐๐ ๐๐โ1
โ๐1๐ โ โ๐2
๐ + โ๐ผ๐ข + ๐๐โ๐๐๐ +โฏ+ ๐2โ๐2
๐ ๐1
โฎ
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 20 / 26
Step 4: Event Location Identification
Y1
Z1 Zn-1
Ik
Vn Vk
|Vd| V
d
|Id| I
dZ
u Zd
V2 Vn-1 V1
I1
Y2
I2
Yk
Ik
Yn-1
In-1
Yn
In
Downstream
|Vu| V
u
|Iu| I
u
Upstream
Zk-1 Vk-1
Ik-1
Zk Vk+1
Ik+1
๐: Event Bus (Unknown) BackwardForward
โ๐1๐, โฏ , โ๐๐โ1
๐, โ๐๐
๐, โ๐๐+1
๐, โฏ , โ๐๐
๐
โ๐1๐, โฏ , โ๐๐โ1
๐ , โ๐๐๐, โ๐๐+1
๐ , โฏ , โ๐๐๐
Correct
Correct
Incorrect
Incorrect
Forward:
Backward:
๐ = argmin โ๐๐๐โ โ๐๐
๐
๐
ฮฆ๐
Discrepancy
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 21 / 26
Case Study: Computer Simulation
(a) Event at Bus 24; (b) Event at Bus 36; (c) Event at Bus 9
31 2 4 5
22 3031
32
33
34
3536
37 38 39
41
40
42
4344
6 7 8 9
1011
12 13
14
15
1617181920
21
23
24
25
26
27 28 29
Mic
ro-P
MU
1
Micro-PMU 2
Mic
ro-P
MU
4
Micro-PMU 3
Event Location
Event Location
Event Location
Discrepancy
IEEE
12
3-B
us
Test
Sys
tem
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 21 / 26
Case Study: Computer Simulation
(a) Event at Bus 24; (b) Event at Bus 36; (c) Event at Bus 9
31 2 4 5
22 3031
32
33
34
3536
37 38 39
41
40
42
4344
6 7 8 9
1011
12 13
14
15
1617181920
21
23
24
25
26
27 28 29
Mic
ro-P
MU
1
Micro-PMU 2
Mic
ro-P
MU
4
Micro-PMU 3
Event Location
Event Location
Event Location
Discrepancy
IEEE
12
3-B
us
Test
Sys
tem
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 21 / 26
Case Study: Computer Simulation
(a) Event at Bus 24; (b) Event at Bus 36; (c) Event at Bus 9
31 2 4 5
22 3031
32
33
34
3536
37 38 39
41
40
42
4344
6 7 8 9
1011
12 13
14
15
1617181920
21
23
24
25
26
27 28 29
Mic
ro-P
MU
1
Micro-PMU 2
Mic
ro-P
MU
4
Micro-PMU 3
Event Location
Event Location
Event Location
Discrepancy
IEEE
12
3-B
us
Test
Sys
tem
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 21 / 26
Case Study: Computer Simulation
(a) Event at Bus 24; (b) Event at Bus 36; (c) Event at Bus 9
31 2 4 5
22 3031
32
33
34
3536
37 38 39
41
40
42
4344
6 7 8 9
1011
12 13
14
15
1617181920
21
23
24
25
26
27 28 29
Mic
ro-P
MU
1
Micro-PMU 2
Mic
ro-P
MU
4
Micro-PMU 3
Event Location
Event Location
Event Location
Discrepancy
IEEE
12
3-B
us
Test
Sys
tem
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 21 / 26
Case Study: Computer Simulation
(a) Event at Bus 24; (b) Event at Bus 36; (c) Event at Bus 9
31 2 4 5
22 3031
32
33
34
3536
37 38 39
41
40
42
4344
6 7 8 9
1011
12 13
14
15
1617181920
21
23
24
25
26
27 28 29
Mic
ro-P
MU
1
Micro-PMU 2
Mic
ro-P
MU
4
Micro-PMU 3
Event Location
Event Location
Event Location
Discrepancy
IEEE
12
3-B
us
Test
Sys
tem
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 22 / 26
Case Study: Asset Monitoring
Three-Phase Switched Capacitor Bank
Rating: 3 x 300 kVAR = 900 kVAR
Volt/VAR Control
Onsite Switch On / Switch Off Controller
No Monitoring
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 23 / 26
Case Study: Asset Monitoring
Typical Issues:
Unbalanced Operation (Fuses) Switching Operation (Controllers)1 2
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 23 / 26
Case Study: Asset Monitoring
Typical Issues:
Unbalanced Operation (Fuses) Switching Operation (Controllers)1 2
Remote Monitoring?
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 24 / 26
Case Study: Asset Monitoring
Switch Off Event
(Micro-PMU 1)
Location Identification
(Micro-PMU 2)
Event Bus: 25 (Correct)
DiscrepancyData Analytics
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 24 / 26
Case Study: Asset Monitoring
Switch Off Event
(Micro-PMU 1)
Reactive Power Support
Slightly Unbalanced Operation
Phase B is always higher
Likely fuse blowing on C and A
Data Analytics
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 24 / 26
Case Study: Asset Monitoring
Switch Off Event
(Micro-PMU 1)
Switching Transient
Two-Step 3-Phase Switch
Step 1: Phase C (Zero Crossing)
Step 2: Phase A/B (Possible Malfunction)
C
B
A
Data Analytics
Hamed Mohsenian-Rad Monitoring and Data Analytics in Power Distribution UC Riverside 25 / 26
Big Data Analytics
Raw Data Stream
(Terabytes Per Day)
Big Data Analytics
++++++
Asset Monitoring
State Estimation
Statistical Modeling
Dynamic Modeling
Cyber Security
DER Operation
Market Operation
โฆ
Useful Information