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Unintentional Islanding Evaluation Utilizing Discrete
RLC Circuit Versus Power Hardware-in-the Loop
Method
Sigifredo Gonzalez1, Edgardo Desarden-Carrero2, Nicholas S. Gurule1, Erick E. Aponte-Bezares2
1Sandia National Laboratories, Albuquerque, New Mexico, 87185, USA
2University of Puerto Rico, Mayaguez, Puerto Rico, 00681, USA
Abstract—The high penetration of photovoltaic (PV) distributed
energy resources (DER) facilitates the need for today’s systems to
provide grid support functions and ride-through voltage and
frequency events to minimize the adverse impacts on the
distribution power system. These new capabilities and its
requirements have created concerns that autonomous
unintentional islanding (UI) algorithms are not sufficient to
prevent a condition were the loss of utility is detected. Type tests in
IEEE 1547-2018 have evolved to thoroughly evaluate DER
capabilities and a new method includes power hardware-in-the-
loop (PHIL) testing. Sandia National Laboratories is performing a
detailed laboratory comparison of the tuned Resistive, Inductive,
Capacitive (RLC) circuit method using discrete elements and the
PHIL that applies the PV inverter equipment under test (EUT),
real-time simulator, and a power amplifier. The PHIL method
allows UI assessments without the need for potentially expensive,
large, heat generating discrete loads.
Key Words — unintentional islanding, RLC circuit, PHIL
I. INTRODUCTION
Today’s DER are required to meet IEEE 1547-2018 Standard
for Interconnection and Interoperability of Distributed Energy
Resources with Associated Electric Power System Interfaces
[1], which has implemented voltage and frequency ride-through
requirements as well as voltage and frequency regulating
capabilities. The voltage and frequency ride-throughs have
increased the operating regions of DER substantially and under
extreme voltage variations, i.e., voltage less than 50% of
nominal, require a DER to momentarily cease to export power.
If voltage recovery occurs within the prescribed duration, the
DER will re-energize the electric power system (EPS). Voltage
and frequency regulating capabilities can be implemented
autonomously through monitoring utility conditions and the
regulating function’s algorithms operate accordingly or the
capabilities can be commanded or scheduled to help address
voltage and frequency anomalies and help mitigate adverse
effects of a variable DER.
These additional features have caused the number of tests
needed for a thorough evaluation of the equipment under test
(EUT) to increase, causing the complexity of configuring the
RLC resonant circuit to become more challenging. The UI test
comprises connecting resistive, inductive, and capacitive loads
placed in parallel with the output of the EUT as shown in Figure
1. The method of connecting the loads has proved to be rather
important because when the EUT and loads are isolated during
the UI tests and the loads are not referenced, the loads can
become unbalanced and the EUT can detect this unbalanced
condition. Using a passive unintentional islanding approach
looking for the unbalanced condition can lead to false positives
and may not necessarily reliably identify when an island has
occurred. An updated RLC circuit is provided below that will
help meet the circuit criteria.
Fig. 1. RLC unintentional islanding circuit
IEEE P1547.1 [2] includes different methods to meet
unintentional islanding requirements. These methods are
mentioned here but are out of scope for this paper. The
following two unintentional islanding testing methods can be
evaluated, clearing the way for implementation of these types
of methods. Regardless, if they are allowed in accordance with
the area EPS, these methods will require the EUT cease to
energize the area EPS within 2 seconds as does the RLC
method:
•Powerline conducted permissive signal test
•Permissive hardware-input test
The test procedure to validate the permissive signal methods
is much more straightforward because the AC source is not
removed and there is no need for balancing a resonant circuit.
The EUT responds to the loss of the permissive signal and like
the RLC circuit where the AC source is removed, it must
respond within 2 seconds once the permissive signal is
removed.
II. RLC UI TEST PROCEDURE
The RLC unintentional islanding test is intended to be a
worst-case scenario that balances the load to the generation of
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the EUT. By adjusting the loads shown in the test circuit shown
in Figure 1 until the active and reactive current is less than 2%
of the EUT rated power. For this test, discrete passive
components are connected in parallel with the output power
generated by the EUT, as shown in Figure 1. The UI tests are
conducted for each of the test cases in Table 1. The table
provides the power level on a per unit basis with a tolerance of
± 0.05 p.u. It is important to note the power is listed in the
generator frame of reference. The voltage and frequency
regulating functions are set to ±0.44 p.u. The most aggressive
setting results in a curve without a dead band and maximum
reactive power is delivered at ± 0.02 p.u. of nominal voltage.
The table provides different operating conditions for each of the
10 tests cases and for all test cases it’s important to establish a
balanced load condition for each test case. The following two
equations provide the tolerance of active and reactive power
balance that should be met for each case:
PS3 = PEUT + PR +PC + PL <= 0.02 p.u. (1)
QS3 = QEUT + QR + QC + QL <= 0.02 p.u. (2)
Adjustments to the AC source voltage and/or frequency and
EUT power are permitted to meet the load balance requirements
of Equations 1 and 2, as long as the EUT power meets the power
levels specified in Table 1 and are within ± 0.05 p.u.
A. Unintentional Islanding Results using RLC Loads
Unintentional islanding tests are conducted using passive
elements in a balanced configuration that results in minimal
changes in voltage and frequency once S3 in Figure 1 is opened.
Once the conditions of Equation 1 and 2 are met, the power flow
through S3 will be within 2% of the EUT rated power.
Verifying the load setup has been configured correctly is an
important step in the balance RLC test procedure and is vital to
the power hardware-in-the-loop procedure.
Fig. 2. Balanced 1B RLC UI test with UI off
Figure 2 shown above, shows the result of test case 1 of Table
1, and for this test the UI algorithm has been disabled so for this
balanced condition the result should be a long, continuous
unintentional island. Under this condition the EUT should
continue to operate while isolated from the utility.
While the EUT is islanded, adjustments to the RLC loads are
implemented to bring the voltage and frequency closer to
nominal values, therefore making this test condition the most
difficult to pass. During the islanding, the frequency remains
near 60Hz, which is another indicator the UI algorithm is off.
This is true only for an algorithm that is based on a frequency-
shift type function.
TABLE I
RLC UNINTENTIONAL ISLANDING TEST MATRIX FOR CATEGORY B
Test
case
EUT power level
Reactive power mode
Active power
Initial RLC load
(p.u.)
mode settings
(p.u.)
Quality
factor
PEUT
QEUT
Mode & setting
Response
time
(s)
VW
FW
PR+PL+PC
QC
QL
QF
1B
1.00
0.00
Constant Power
factor
PF = 1.00
n/a
Default
Default
-1.00
1.00
-1.00
1.00
2B
0.50
0.00
–0.50
0.50
–0.50
1.00
3B
0.90
–0.44
Constant Power
factor
PF = –0.90
n/a
Off
LA
–0.90
0.90
–0.46
1.00
4B
0.90
0.44
PF = 0.90
–0.90
0.46
–0.90
1.00
5B
1.00
0.00
Voltage-reactive
power
MA
1.00
MA
MA
-1.00
1.00
-1.00
1.00
6B
0.50
0.00
Default
10.00
–0.50
0.50
–0.50
1.00
7B
0.50
0.00
Active Power-
Reactive power
Default
n/a
–0.50
0.50
–0.50
1.00
8B
1.00
0.00
MA
-1.00
1.00
-1.00
1.00
9B
0.50
–0.44
Constant reactive
power
Q = –0.44
n/a
–0.50
0.50
-0.06
1.00
10B
0.50
0.44
Q = 0.44
–0.50
0.06
-0.50
1.00
NOTE—LA = least aggressive; MA = most agressive.
TABLE I
SUMMARY OF TYPOGRAPHICAL SETTINGS
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After fine adjustments are made to the loads, the UI algorithm
is re-instated, and the test is conducted having been fine-tuned
for a balanced condition. Figure 3 shows the result of the UI test
of a balanced load and the inverter operating at unity power
factor, rated power, and with voltage and frequency regulating
functions on. The plot shows the run-on time (ROT) well within
the 2-second requirements and shows how the UI algorithm
shifts the frequency during the island to about 45Hz.
Fig. 3. UI islanding results using balanced RLC loads
The oscillatory data that is captured during the UI tests provides
the high-fidelity information on the response of the inverter to
the loss of utility event while configured with the worst-case
scenario.
B. Unintentional Islanding Tests using Power Hardware-in-
the-Loop Method
An alternative to conducting the resonant RLC UI test
balanced circuit is using the same concept of the RLC circuit
and the test matrix shown in Table 1, however the test is
accomplished using a power hardware-in-the loop (PHIL)
concept [2]. This process requires specialized equipment and
extensive programming to make it work, which is a simulation-
based approach with the following test and setup requirements:
•The simulation includes the RLC load bank, balance of
system (BOS) components, and an interface algorithm that
uses an electromagnetic transient-type simulation and uses
actual hardware’s instantaneous voltage(s) and current(s).
•Simulated circuit behavior must be verified. This requires
disabling the EUT’s UI algorithm, and the EUT must be
operated at unity PF and with the regulation functions
deactivated.
•The PHIL simulation setup amplifier must be capable of
800Hz. The voltage harmonic magnitude must be at least
1% of the nominal voltage while operating as a standalone
voltage source.
•Alternatively, an impedance measurement approach may
be used to evaluate the BOS simulation capabilities at two
different voltage levels.
•The PHIL simulation must be capable of recording
waveform capture
Figure 4 is a one-line diagram of the components of the PHIL
setup. The power amplifier is a regenerative device that can sink
power from the EUT. The system monitors the EUT’s current
and feeds this vital parameter into the digital real time
simulator. The hardware components of the RLC UI are the AC
source, S3, RLC loads, and any interfacing components in the
circuit shown in Figure 1 become the simulated rest-of-system
(ROS) in Figure 4. A computationally derived analog signal is
delivered to the power amplifier to control the voltage and
current of the system.
Fig. 4. Power hardware-in-the-loop configuration
C. Implementation flexibility using Power Hardware-in-the-
Loop Method
The programming of the RLC circuit has a significant role in
the way the tests are conducted. Creating a flexible and
adjustable interface with the simulated loads that provide the
necessary information to conduct the tests is essential. The
implementation of the test matrix shown in Table 1 provides
an automated configuration of the simulated loads. Figure 5
shows the graphical user interface (GUI) displaying monitored
voltage and currents at vital circuit nodes, adjustment knobs to
resistive, inductive and capacitive loads, and a test selector
knob that transitions from any of the 10 tests in Table 1. The
EUT capacity and operating voltage determines the load
impedance for each of the tests in the UI test matrix and the
PHIL GUI provides the Pgen/Pload ratio and Q factor.
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Fig. 5. Unintentional Islanding PHIL GUI, showing parameter
monitoring, load adjustors, and test selector
III. SIMULATED RLC CIRCUIT PARAMETERS
Developing on-the-fly adjustable RLC loads is required for
stepping through the UI testing. A unique method of adjusting
the simulated loads uses an equivalent circuit based on the
element functionality expression through a mathematical
equation. Integral equation expression (3) provides the basis for
the dynamic inductive component model.
(3)
In the same manner, equation expression (4) shows a
dynamic capacitive expression providing the basis for a
dynamic capacitive component model.
(4)
When the test selector is turned to a test number it
corresponds to that test number in Table 1, which determines
EUT power settings, mode of operation, and load settings.
The following plots show the response of the PHIL UI tests
and each of the plots correlate to a simulated test configuration
in Figure 1 and the test correlates to the tests in the test matrix
shown in Table 1. Figure 6 shows the PHIL UI tests result for
the EUT operating at 0.9 power factor and at rated power. For
this test the EUT cannot deliver rated active power because it is
delivering 44% reactive power, however the EUT is operating
at rated VA. Balancing the reactive power should take into
consideration the output filter of the EUT.
For each of the testing in the test matrix, the test is initially
conducted with the UI algorithm off on the EUT. This is done
to verify the test setup is correct and when S3 in Figure 1 is
opened, the EUT will sustain an island. The test requirements
set the operating ranges achievable by the EUT. For test 3B, -
44% reactive power means the active power generation is
reduced by about 10%, so to maintain a Q factor of 1, the active
and reactive power is set to 0.9 p.u.
Fig. 6. PHIL test result for Category B test 3. Balanced load UI,
with PF= -0.9, Pinverter = Pload, VV=off, FW=LA.
The next test in the test matrix for category B is 4B and while
similar to 3B, the EUT’s output filter will slightly influence the
amount of reactive power need to achieve the target values. For
test 4B, approximately 44% reactive power reduces the active
power generation by 10% and the results are shown in Figure 7.
Fig. 7. PHIL test result for test 4. Balanced load UI, with PF= 0.9,
Pinverter = Pload, VV=off, FW=LA.
The next UI test using PHIL is test 5, which has both the
voltage and frequency regulating functions on at their most
aggressive setting. The UI test procedure provides a detail
description of setting for each voltage and frequency regulating
function. The EUT voltage-reactive (VV) settings are set to the
most aggressive responses to voltage variation prior to
conducting the tests and Table 2 provides the settings for the UI
tests. This functions’ reference voltage is designed to be
autonomously adjusted but this capability requires 300 seconds
to determine the new reference voltage, so this capability can
be either disabled or ignored because the UI test durations are
much less.
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TABLE II
VOLTAGE-REACTIVE POWER (VV) SETTINGS
Setting
Category A
Category B
Most
aggressive
Default
Most
aggressive
Default
Voltage
(p.u.)
V1
0.98
0.9
0.98
0.92
V2
1
1
1
0.98
V3
1
1
1
1.02
V4
1.02
1.1
1.02
1.08
Reactive power
(p.u.)
Q1
0.25
0.25
0.44
0.44
Q2
0
0
0
0
Q3
0
0
0
0
Q4
–0.25
–0.25
–0.44
–0.44
Response time
(s)
Open
Loop
Response
Time
1
10
1
5
The draft UI test procedure provides parameter setting
information for to other autonomous voltage and frequency
regulation functions like voltage-active power, frequency-
active power, and active power-reactive power but are not
shown here.
The PHIL test result for test 5B is shown below. For this test,
the EUT adheres to the test requirements in Table 1 so inverters
VV are set to most aggressive as are the voltage-watt and the
frequency-watt. The simulated RLC loads are adjusted for the
EUT operating at unity power factor and at rated power.
Therefore, the reactive power for the simulated capacitive load
is at 1.0 p.u. and the simulated inductive load is also at 1.0 p.u.,
so the load adheres to a Q factor of 1.0. The simulated resistive
load accounts for the resistance in the inductive load and is set
to sum to 1.0. The results for test 5B using PHIL is shown in
Figure 8.
Fig. 8. PHIL test result for test 5. Balanced load UI, all voltage and
frequency regulation set to most aggressive
IV. SIMULATED RLC CIRCUIT VALIDATION
Islanding tests were performed to compare the run on times
(ROT) of the islanding tests on an EUT using both RLC loads
and PHIL UI test methods. The only difference is one test is
conducted with the configuration in Figure 1 and the other test
uses the PHIL approach as shown in Figure 4. These tests were
conducted with the EUT’s unintentional islanding algorithm
turned off.
With the UI algorithm off, the EUT should sustain an island
providing the test is configured to any of the 10 test sequences
in the UI test matrix. Because each of the tests is a worst-case
condition, where the voltage and frequency does not
instantaneously change when the utility is removed because the
unique load balance condition. The waveform in Figure 9
shows the close agreement on the islanding voltage and
frequency values with both methods.
Fig. 9. UI tests of RLC and PHIL with UI algorithm turned “off”
Setting
Category A
Category B
Most
aggressive
Default
Most
aggressive
Default
Voltage
(p.u.)
V1
0.98
0.9
0.98
0.92
V2
1
1
1
0.98
V3
1
1
1
1.02
V4
1.02
1.1
1.02
1.08
Reactive power
(p.u.)
Q1
0.25
0.25
0.44
0.44
Q2
0
0
0
0
Q3
0
0
0
0
Q4
–0.25
–0.25
–0.44
–0.44
Response time
(s)
Open Loop Response Time
1
10
1
5
1
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The response of the PHIL and the RLC load UI tests methods
is repeated with the EUT’s UI algorithm turned on. The EUT
being used is a UL listed product, so the ROT should be within
2 seconds for the device to be in compliance. Fine tuning of the
RLC loads was conducted on the previous tests, so when S3 is
opened, the RLC loads are optimally balanced to the EUTs
output. Figure 10 shows the results of both the RLC load UI test
and the PHIL UI test. The results are very close in both duration
and in the instantaneous response. In Figure 10, the removal of
the utility corresponds to the trigger signal transitioning from
about 0 to 25.
Fig. 10. RLC and PHIL with UI algorithm turned “on”
A. Inductive-Capacitive (LC) Resonant Tank Circuit Ring-
Down
Aside from actual tests to verify agreement between the two
methods being used, another characteristic of the LC resonant
circuit that can be used to validate the characteristics of each
approach. The inductance and capacitance of the RLC balanced
circuit are set to resonate at 60Hz and if just the LC exist, when
the utility is removed a ring-down of the stored energy can be
observed and quantified. Figure 11 (a) shows the results of this
test and the ring-down effect of the stored energy dissipation. If
the resistive load is added to the LC resonant tank circuit, it is
expected to quickly dampen the ring-down because the resistive
load will dissipate the stored energy, as shown in figure 11 (b).
(a)
(b)
Fig. 11. (a) LC resonant circuit ring-down characteristic (b) RLC
resonant circuit ring down characteristic that is balanced for a Q factor
of 1
The PHIL simulation circuit can also be characterized using
the LC resonant ring-down method. With the simulated RLC
circuit adjusted to simulate the actual loads, the ring down
characteristic should be similar. Figure 12 (a) shows the result
of the PHIL LC ring- down validation test. The plot provides a
ring-down for a LC configuration at 3kVar and for 24kVar. It
also provides the comparison to the RLC load ring shown,
shown as the yellow trace marked load 24kW. Figure 12 (b)
shows the PHIL RLC ring down validation test. The test shows
the damped ring down because of the presence of the resistive
load element. The plot also provides a comparison to the RLC
load waveform and shows a strong agreement.
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(a)
(b)
Fig. 12. (a) PHIL LC ring-down characterization at two power levels
with RLC load comparison, (b) PHIL RLC ring-down at two power
levels and with RLC load comparison
B. Real Load as part of PHIL UI Test
Implementing real load into the PHIL validation process can
provide additional confidence in the simulation but it does
require additional capabilities. The PHIL configuration shown
in Figure 4 requires the EUT’s current to be monitored during
the configuration and testing the UI capabilities of the EUT
using this method. A key attribute of PHIL is the elimination of
costly, bulky, and heat generating RLC loads and introducing
such loads as part of the testing configuration does diminish this
reducing in load requirements. Figure 13 shows the additional
requirement to monitor the load. If the EUT is a 3-phase device,
then the load monitor will also require 3-phase monitoring.
Fig. 13. Real load configuration as part of PHIL UI testing
V. CONCLUSION
A comparative assessment of the unintentional islanding
detection of a utility interconnected distributed energy device
using a RLC-balanced load configuration and a PHIL
configuration was performed. Data presented in this analysis
show the EUT demonstrated a continuous ROT when the UI
algorithm is turned off and connected to both the RLC balanced
load and to the PHIL configuration. The comparison of the two
methods also shows the EUT adhere to the required 2-second
response duration and demonstrate the UI waveform
characteristics are similar.
Validation of the PHIL was another area of investigation and
data was compared from UI tests using both methods. The
results suggest strong correlation between the two methods. The
validation also introduced signature ring-down characteristics
of LC loads and compared the results of both methods and the
results were similar. Using the same process, a resistive load
was added, and the ring-down characteristic was quickly
dampened by the resistive load for both configurations.
An alternative PHIL validation introduces new requirements
for the PHIL configuration because an actual load is introduced
to the configuration. This will diminish the no-load
requirements of the PHIL and may be challenging to implement
if analog signals are not available. The findings of using PHIL
for UI tests have shown great potential and can be a great design
tool and perhaps a certification tool as well.
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REFERENCES
[1] “IEEE Standard 1547-2018: Standard for Interconnection and
Interoperability of Distributed Energy Resources with Associated
Electric Power System Interfaces,” IEEE, 2018.
[2] “IEEE Draft Standard P1547.1, Standard Conformance Test
Procedures for Equipment Interconnecting Distributed Energy
Resources with Electric Power Systems and Associated
Interfaces.”
[3] K. Schoder, J. Langston, J. Hauer, F. Bogdan, M. Steurer, and B.
Mather, “Power Hardware-in-the-Loop-Based Anti-Islanding
Evaluation and Demonstration,” NREL, NREL/TP-5D00-64241,
Oct. 2015.
[4] SAND2019-6655 C
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