Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty...

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NREL is a national laboratory of the U.S. Department of Energy, Office of Energy Efficiency and Renewable Energy, operated by the Alliance for Sustainable Energy, LLC. Inverter Anti-Islanding with Advanced Grid Support in Single- and Multi-Inverter Islands Andy Hoke, Ph.D., P.E. Presentation to Smart Inverter Technical Working Group Webinar August 16, 2016 NREL/PR-5D00-66942

Transcript of Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty...

Page 1: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

NREL is a national laboratory of the U.S. Department of Energy, Office of Energy Efficiency and Renewable Energy, operated by the Alliance for Sustainable Energy, LLC.

Inverter Anti-Islanding with Advanced Grid Support in Single- and Multi-Inverter Islands

Andy Hoke, Ph.D., P.E.

Presentation to Smart Inverter Technical Working Group Webinar

August 16, 2016

NREL/PR-5D00-66942

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Mahalo to:

• SolarCity – Frances Bell, Mike McCarty • NREL – Austin Nelson, Brian Miller, Sudipta

Chakraborty (PI) • The Hawaiian Electric Companies:

o Marc Asano – Technical input o Earle Ifuku – SITWG lead

• Department of Energy Solar Energy Technologies Program

• Northern Plains Power Technologies – Mike Ropp

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Overview

1. Background 2. Single-inverter anti-island tests with grid

support functions (GSFs) enabled a) Test plan b) Test results

3. Multi-inverter anti-islanding tests with GSFs enabled

a) Test plan b) Test results

4. Conclusions

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Background

• Island = portion of a circuit with DER and load that becomes disconnected from the rest of the grid

• DERs must recognize when they are in an island and disconnect o Safety – prevent contact with unexpectedly energized lines o Protection – prevent out-of-phase reclosure

NASA - http://earthobservatory.nasa.gov/IOTD/view.php?id=82975

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Background

• If generation and load are not matched (or close), island voltage goes out of range quickly (undervoltage or TrOV) and DERs disconnect

• If gen:load ≈ 1, island may persist • IEEE 1547 requires DERs to disconnect within 2

seconds • Most common method of unintentional island

prevention: o Autonomous anti-islanding (AI) controls in the DER o All UL 1741-certified inverters contain such controls

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Background

• As DERs become a significant portion of total generation, they will be required to: o Remain online during grid events o Help regulate grid voltage and

frequency back towards nominal • These grid support function (GSF)

requirements may make anti-islanding more difficult

• Islands with multiple DERs may also make anti-islanding more difficult

RMS AC voltage, V

220 240 260

Rea

ctiv

e po

wer

, pu

-1.0

-0.5

0

0.5

1.0VVC Steady-state Characteristic

Steep

Shallow

Frequency, Hz

60 62 64R

eal p

ower

, pu

0

0.25

0.5

0.75

1.0

FWC Steady-state Characteristic

Steep

Shallow

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This work

• Experimentally create balanced islands with: o GSFs enabled o 3 PV inverters connected to different points on the same

circuit • Can we create islands lasting more than IEEE allows?

o Balanced, resonant load difficult for island detection • Test inverters from 3 different manufacturers • Two phases:

1. Single-inverter islands: identify worst-case combinations of GSFs

2. Multi-inverter islands: try various circuit topologies, interconnecting impedances, load locations, load tunings, inverter locations, GSF combinations

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Overview

1. Background 2. Single-inverter anti-island tests with grid

support functions (GSFs) enabled a) Test plan b) Test results

3. Multi-inverter anti-islanding tests with GSFs enabled

a) Test plan b) Test results

4. Conclusions

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Island test overview

• AI tests based on IEEE 1547.1 / UL 1741 test:

• Balanced, resonant RLC load intentionally creates a stable, semi-self-sustaining island that is difficult to detect

• Inverter powered by PV simulator constant, stable source

EUTSimulated Area EPS

S1

RLC Load

(Inverter) (Grid)

Steps: 1. Carefully tune

load P, Q so fundamental current in S1 is nearly zero and QF = 1.0

2. Open switch S1 3. Measure time

until inverter disconnects

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Grid support functions

• Conventional AI test does not include testing with GSFs enabled o Upcoming UL 1741 SA does

• GSFs used here: o High/low voltage ride-through (VRT) o High/low frequency ride-through (VRT) o Volt-VAr control (VVC) o Frequency-Watt control (FWC)

• Two settings tested for both VVC and FWC: o Steep curve o Low-slope (“shallow”) curve

• Each GSF first verified to work properly

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Grid support functions

• 10 GSF test cases:

• Repeat each 5 times 50 tests per inverter

Test Case Inverter Function Settings VRT FRT FWC VVC 1 OFF OFF OFF OFF 2 ON ON OFF OFF 3 ON ON OFF SHALLOW 4 ON ON OFF STEEP 5 ON ON SHALLOW OFF 6 ON ON SHALLOW SHALLOW 7 ON ON SHALLOW STEEP 8 ON ON STEEP OFF 9 ON ON STEEP SHALLOW

10 ON ON STEEP STEEP

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Interpreting AI test results:

ROT = run-on time (island duration)

0.4 0.5 0.6 0.7 0.8 0.9-400

-200

0

200

400

Time (sec)

Vol

tage

(V) o

r 5x

Cur

rent

(A)

VinvIinvIgridAux

Inverter disconnects

Island formed

Island commanded

ROT = 191 ms

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Single-inverter Results

Maximum, mean, and minimum island ROT:

Maximum ROT is most important criterion

1 2 3 4 5 6 7 8 9 100

100

200

300

400

500

600

700

800

Test Case Number

Trip

Tim

e (m

s)

Inverter 1Inverter 2Inverter 3

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Typical and worst-case waveforms

Inverter 1

0.4 0.5 0.6 0.7 0.8 0.9-400

-200

0

200

400

Time (sec)

Volta

ge (V

) or 5

x C

urre

nt (A

)

VinvIinvIgridAux

0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2-400

-200

0

200

400

Time (sec)

Volta

ge (V

) or 5

x C

urre

nt (A

)

VinvIinvIgridAux

502 ms

0.4 0.6 0.8 1 1.2 1.4-400

-200

0

200

400

Time (sec)

Volta

ge (V

) or 5

x C

urre

nt (A

)

VinvIinvIgridAux

668 ms

0.4 0.5 0.6 0.7 0.8 0.9-400

-200

0

200

400

Time (sec)

Volta

ge (V

) or 5

x C

urre

nt (A

)

VinvIinvIgridAux

0.5 1 1.5-400

-200

0

200

400

Time (sec)V

olta

ge (V

) or 5

x C

urre

nt (A

)

VinvIinvIgridAux

0.4 0.5 0.6 0.7 0.8 0.9-400

-200

0

200

400

Time (sec)

Vol

tage

(V) o

r 5x

Cur

rent

(A)

VinvIinvIgridAux

711 ms

Inverter 2

Inverter 3

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Linear regression analysis

• Linear regression of all test data (>150 tests): o VRT and FRT considered as a single binary predictor, VFRT; 0=off.

𝑅𝑅𝑅𝑅𝑅𝑅 = 95 + 75 ∙ 𝑉𝑉𝑉𝑉𝑅𝑅𝑅𝑅 + 64 ∙ 𝐼𝐼𝐼𝐼𝐼𝐼𝐼 + 99 ∙ 𝐼𝐼𝐼𝐼𝐼𝐼𝐼 + ε [ms]

o p-value = 0.0005 o RMS error = 133 ms

• What does this tell us? Enabling VRT and FRT tends to extend ROT by 75 ms Inverter 2 tends to run on 64 ms longer than Inverter 1 Inverter 3 tends to run on 99 ms longer than Inverter 1 Stochastic effects are larger than modeled effects

• Additional regression models including VVC and FWC were not conclusive (high p-values)

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Single-inverter conclusions

• All inverters passed all 50 tests well within required IEEE 1547 AI standard

• VRT and FRT lead to slightly longer islands • Worst-case overall GSF configurations:

• Second worst-case GSF configurations:

• Upcoming paper: A. Nelson, A. Hoke, B. Miller, S. Chakraborty, F. Bell, M. McCarty, “Impacts of Inverter-based Advanced Grid Support Functions on Islanding Detection,” 2016 IEEE Innovative Smart Grid Technologies Conference (ISGT), 2016

Inverter Voltage ride-through

Frequency ride-through Frequency-Watt

Volt-VAr

1 ON ON OFF HIGH 2 ON ON HIGH LOW 3 ON ON OFF LOW

Inverter Voltage ride-through

Frequency ride-through Frequency-Watt

Volt-VAr

1 ON ON OFF OFF 2 ON ON LOW LOW 3 ON ON HIGH LOW

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Overview

1. Background 2. Single-inverter anti-island tests with grid

support functions (GSFs) enabled a) Test plan b) Test results

3. Multi-inverter anti-islanding tests with GSFs enabled

a) Test plan b) Test results

4. Conclusions

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Multi-inverter, multi-PCC anti-islanding

• Difficult to analytically predict worst-case circuit parameters for multi-inverter AI

• Instead, test a wide, representative variety of scenarios to find worst-case circuit parameters o Vary topology, impedances, load location, short-circuit impedance, GSF

settings, inverter locations o Too many parameters to test all combinations

• Four-step plan o First 3 steps find worst-case setting(s) of target parameters o 4th step investigates worst-case settings in-depth

• 224 test total (plus extras)

Step Parameters Varied Number of Tests

Number of Worst-Case Conditions Selected

1 Circuit topology and impedances 50 3

2 Load location relative to inverters 15 1

3 Short-circuit impedance of grid at island breaker

15 1

4 Inverter locations and GSF settings 144 NA

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PHIL anti-island testing • Building a wide variety of test circuits is costly and time-consuming • Instead, use power hardware-in-the-loop to create the island circuits (including

the RLC load) • Builds on past single-inverter PHIL AI testing, and multi-inverter GSF testing

Inverter 1

Real-time computer simulation

Voltage amplifier

~

Inverter 1 interface

VPCC1

IInv1

Test hardware

Zgrid

PV / DC source

LP filter

+ -

Inverter 2

~

VPCC2

IInv2

PV / DC source

LP filter

+ -

Inverter 3

~

VPCC3

IInv3

PV / DC source

LP filter

+ -

Voltage amplifier

Voltage amplifier

Inverter 2 interface

Inverter 3 interface

Island circuit transient model with load and 3 DER PCCs

Island breaker

Grid source

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Step 1: Topologies

• Three island topologies • Each LV line can be

overhead or underground

• Service drops of 100’, 200’ and 300’ considered

• 10 total circuits considered in Step 1

• Each circuit tested 5 times 50 tests

• Worst-case circuit used for Steps 2 and 3

• Three worst cases used in Step 4

To rest of distribution

system

Breaker/fuse/switch;Island forms when open

Zgrid

~

Z1

~

Z2

~

Z3

To rest of distribution

system

Breaker/fuse/switch;Island forms when open

Zgrid

~

Z1

~ ~

Topology 1:Three inverters on same transformer

Topology 2:Three inverters on

three different transformers

To rest of distribution

system

Breaker/fuse/switch;Island forms when open

Zgrid

~

Z1

~

Z2

~

Z3

Topology 3:Two inverters on one transformer

and one on a second

Z2 Z3

Zline1 Zline2

Zline1

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Step 2: Load location

• Three possible load locations considered: 1. Centralized load near island breaker 2. Centralized load far from island breaker 3. Distributed load at each inverter PCC

• Each load location tested 5 times 15 tests • Worst-case load location used for Steps 3 and 4 • Example island circuit with load near breaker:

Z1

Zline1 Zline2

To island breaker +

- VPCC1

Z2 +- VPCC2

Z3 +- VPCC3

RLC Load

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Step 3: Short-circuit impedance

• Some AI methods rely on changes in grid impedance to detect an island

• Range of impedances generated by analyzing the short-circuit impedances at all distribution transformer primary nodes in the IEEE 8500-node test feeder: o Test cases: Maximum, median, minimum ZSC

• Each ZSC tested 5 times 15 tests • Worst-case ZSC used for Step 4

Impedance ZSC R (Ω) X (Ω)

Minimum 0.00195 0.00334

Median 0.0198 0.0249

Maximum 0.0747 0.105

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Step 4: Detailed AI investigation

• All combinations of the following: o The 2 worst-case inverter settings from the single-

inverter tests o The 3 worst-case combinations of topology and

impedances from Step 1 o The single worst-case load location from Step 2 o The single worst-case grid impedance from Step 3 o All 3! = 6 permutations of inverter locations on the 3

PCCs in each test circuit. • 2·3·1·1·6 = 36 test cases • Each case repeated 4 times 144 tests

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Step 4 Results

Maximum, mean, and minimum island ROT:

Test Case Number0 5 10 15 20 25 30 35

Trip

Tim

e (m

s)

0

100

200

300

400

500

600

700

Test Case Test Settings

Inverter GSF

Configuration Circuit # Location Map 1 1 1 1 2 1 1 2 3 1 1 3 4 1 1 4 5 1 1 5 6 1 1 6 7 1 2 1 8 1 2 2 9 1 2 3

10 1 2 4 11 1 2 5 12 1 2 6 13 1 3 1 14 1 3 2 15 1 3 3 16 1 3 4 17 1 3 5 18 1 3 6 19 2 1 1 20 2 1 2 21 2 1 3 22 2 1 4 23 2 1 5 24 2 1 6 25 2 2 1 26 2 2 2 27 2 2 3 28 2 2 4 29 2 2 5 30 2 2 6 31 2 3 1 32 2 3 2 33 2 3 3 34 2 3 4 35 2 3 5 36 2 3 6

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Step 4 Waveforms – Typical and worst-case

• Worst-case: Case 25

• 627 ms ROT (less than maximum from single-inverter tests)

Time (sec)

0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux

Time (sec)

0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux

Page 26: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

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Linear regression analysis

• Linear regression of all multi-inverter test data (224 tests) • Predictors considered:

o Grid support function configuration o Island circuit o Location of load relative to inverters o Grid short-circuit impedance at the island location o Inverter location map (i.e. which inverter is connected to which PCC)

• Most models had high p-values • One model with GSF setting as only predictor had reasonably low p-value:

𝑅𝑅𝑅𝑅𝑅𝑅 = 𝐼97 + 𝐼7 ∙ 𝐺𝐺𝐺𝐺𝑉𝑉𝐼 + ε [ms]

o p-value = 0.046 o RMS error = 98 ms o GSF2 = 0 means worst-case GSF combo was active; GSF2 = 1 means 2nd worst-case was active

• What does this tell us? The second-worst GSF function combination (from single-inverter tests) actually tended to run

on 27 ms longer than the worst in multi-inverter tests Stochastic effects are larger than modeled effects No single circuit configuration stuck out as problematic

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Conclusions

• First known laboratory test of multi-inverter, multi-PCC anti-islanding o Tests covered 49 unique field cases, each tested at least 4

times o In all 244 tests, maximum ROT was 632 ms (well below 2 s) o No single circuit configuration stuck out as problematic

• Grid support functions increased island durations, but still well below the IEEE 1547 required limit o True even in multi-inverter scenarios o Results will vary with other inverters, different numbers of

inverters • NREL report:

http://www.nrel.gov/docs/fy16osti/66732.pdf

Page 28: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

Thank you Questions welcome

Page 29: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

Extra slides

Page 30: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

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Test circuit topologies

Test Case Description

# of Transformers

# of Overhead Lines

# of Underground Lines

1 Three inverters on one transformer connected via underground lines 1 0 3

2 Three inverters on one transformer connected via overhead lines 1 3 0

3 Three inverters on three different transformers, connected via underground lines 3 0 3

4 Three inverters on three different transformers, connected via overhead lines 3 3 0

5

Two inverters connected to two different transformers via underground lines and one inverter connected to a third transformer via

overhead lines

3 1 2

6

Two inverters connected to two different transformers via overhead lines and one inverter

connected to a third transformer via underground lines

3 2 1

7 Three inverters connected to two different transformers via underground lines 2 0 3

8 Three inverters connected to two different transformers via overhead lines 2 3 0

9 Two inverters connected to one transformer via

underground lines and one inverter connected to a second transformer via overhead lines

2 1 2

10 Two inverters connected to one transformer via overhead lines and one inverter connected to a

second transformer via underground lines 2 2 1

Page 31: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

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Additional notes

• PHIL model features to make the island more difficult to detect: o RLC load continuously variable better load

balancing o Real-time display of circuit quality factor, including all

physical and modeled circuit elements better load tuning

o Real-time display of island breaker P, Q visible to operator can time island disconnection

• PHIL setup validated by comparing single-inverter AI tests using hardware and to single-inverter tests using PHIL

Page 32: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

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Step 1 Results

Maximum, mean, and minimum island ROT:

Test Case Number

1 2 3 4 5 6 7 8 9 10

Trip

Tim

e (m

s)

0

100

200

300

400

500

600Inverter 1

Inverter 2

Inverter 3

Test Case Circuit Topology and Impedances

#

Transformers

# Overhead

Lines # Underground

Lines 1 1 0 3 2 1 3 0 3 3 0 3 4 3 3 0 5 3 1 2 6 3 2 1 7 2 0 3 8 2 3 0 9 2 1 2

10 2 2 1

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Step 1 Waveforms – Typical and worst-case

• Worst-case: circuit 1, 555 ms ROT (shown)

• 2nd worst: circuit 5

• 3rd worst: circuit 7

Time (sec)

0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux

Time (sec)

0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux

Page 34: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

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Step 2 Results

Maximum, mean, and minimum island ROT:

Test Case Number

1 2 3

Trip

Tim

e (m

s)

0

100

200

300

400

500Inverter 1

Inverter 2

Inverter 3

Test Case Load Location 1 Load Distributed 2 Load Near Breaker 3 Load Far from Breaker

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Step 2 Waveforms – Typical and worst-case

• Worst-case: load far from breaker

• 475 ms ROT

Time (sec)

0.4 0.5 0.6 0.7 0.8 0.9 1 1.1

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux

Time (sec)

0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux

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Step 3 Results

Maximum, mean, and minimum island ROT:

Test Case Number

1 2 3

Trip

Tim

e (m

s)

100

200

300

400

500Inverter 1

Inverter 2

Inverter 3

Test Case Grid Impedance, ZSC 1 Minimum 2 Median 3 Maximum

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Step 3 Waveforms – Typical and worst-case

• Worst-case: maximum ZSC

• 438 ms ROT

Time (sec)

0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux

Time (sec)

0.4 0.5 0.6 0.7 0.8 0.9 1 1.1

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux

Page 38: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

38

Addition tests: Island timing

• Inverter 1 shifts output phase angle slightly to detect islands • Causes periodic variations in Q, P • Tests above were timed to start near zero-crossing of P and Q flowing through

island breaker • Additional 10 AI tests run to investigate effects of randomized island timing

• Result: Generally, randomized timing led to shorter ROT, but one randomized test had longer ROT. (See next slide)

Test Case Number

1 2

Trip

Tim

e (m

s)

0

200

400

600

800Inverter 1

Inverter 2

Inverter 3

Test Case Island disconnection timing

1 Timed Disconnection

2 Random Disconnection Time

Page 39: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

39

Worst-case overall test

Time (sec)

178 179 180 181 182 183 184 185 186

Rea

l and

Rea

ctiv

e P

ower

(VA

)

-5000

0

5000Max Trip Time = 632

Real Power

Reactive Power

Time (sec)

0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux

Power through island breaker

• 632 ms ROT • By chance, the randomized

disconnection occurred at the zero-crossing of P and Q flowing through the breaker o So this test is effectively a

timed-disconnection test • Increased confidence

that Steps 1-4 capture worst-case island durations

Page 40: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

40

Addition tests: RL loads

• RL loads are more typical than RLC loads • 10 additional AI tests:

o 5 tests with tuned RL load o 5 tests with 10% detuned RL load

• All used worst-case settings from Step 4

Test Case Number

1 2 3

Trip

Tim

e (m

s)

0

200

400

600

800Inverter 1

Inverter 2

Inverter 3

Test Case Test Settings

1 Tuned RLC (baseline) 2 Tuned RL Load 3 De-Tuned RL Load

Page 41: Inverter Anti-Islanding with Advanced Grid Support in ...SolarCity – Frances Bell, Mike McCarty ... Carefully tune load P, Q so fundamental current in S1 is nearly zero and QF =

41

RL Load Waveforms – Typical and worst-case

• Worst-case: Tuned RL load

• 397 ms ROT

Time (sec)

0.4 0.5 0.6 0.7 0.8 0.9

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux

Time (sec)

0.4 0.5 0.6 0.7 0.8 0.9 1

Vol

tage

(V) o

r 5x

Cur

rent

(A)

-300

-200

-100

0

100

200

300V

inv1

Iinv1

Iinv2

Iinv3

Aux