Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора
Результати. Одержані залежності амплітуди пульсацій вихідного струму інвертора і похибки за основною гармонікою від напруги на вході інвертора, частоти ШІМ і індуктивності реактора. Співвідношення для визначення значень вхідної напруги інвертора, індуктивності реактору та частоти ШІМ згідно напрузі...
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| Published in: | Електротехніка і електромеханіка |
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| Date: | 2019 |
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| Format: | Article |
| Language: | Ukrainian |
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Інститут технічних проблем магнетизму НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/159077 |
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| Cite this: | Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора / О.О. Шавьолкін, В.В. Каплун, І.О. Шведчикова // Електротехніка і електромеханіка. — 2019. — № 4. — С. 35-40. — Бібліогр.: 10 назв. — укр., англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1860177413197004800 |
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| author | Шавьолкін, О.О. Каплун, В.В. Шведчикова, І.О. |
| author_facet | Шавьолкін, О.О. Каплун, В.В. Шведчикова, І.О. |
| citation_txt | Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора / О.О. Шавьолкін, В.В. Каплун, І.О. Шведчикова // Електротехніка і електромеханіка. — 2019. — № 4. — С. 35-40. — Бібліогр.: 10 назв. — укр., англ. |
| collection | DSpace DC |
| container_title | Електротехніка і електромеханіка |
| description | Результати. Одержані залежності амплітуди пульсацій вихідного струму інвертора і похибки за основною гармонікою від напруги на вході інвертора, частоти ШІМ і індуктивності реактора. Співвідношення для визначення значень вхідної напруги інвертора, індуктивності реактору та частоти ШІМ згідно напрузі мережі, максимальних значень струму інвертора та амплітуди його пульсацій за суміщенням функції силового активного фільтра.
Результаты. Получены зависимости амплитуды пульсаций выходного тока инвертора и ошибки по основной гармонике от напряжения на входе инвертора, частоты ШИМ и индуктивности реактора. Соотношения для определения значений входного напряжения инвертора, индуктивности реактора и частоты ШИМ в соответствии с напряжением сети, максимальными значениями тока инвертора и амплитуды его пульсаций при совмещении функции силового активного фильтра.
Results. Relationships for determining the input voltage of the inverter, reactor inductance and modulation frequency in accordance with the grid voltage, the maximum values of the inverter current and the amplitude of its ripple when combining the function of the active power filter. Dependencies of the amplitude of the pulsations of the output current of the inverter and the errors in the fundamental harmonic in accordance with the voltage at the input of the inverter, the modulation frequency and inductance of the output reactor are obtained.
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| first_indexed | 2025-12-07T18:01:19Z |
| format | Article |
| fulltext |
ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.4 35
© О.О Shavelkin, V.V. Kaplun, I.O. Shvedchykova
UDC 621.314.26 doi: 10.20998/2074-272X.2019.4.05
О.О Shavelkin, V.V. Kaplun, I.O. Shvedchykova
ERROR ELIMINATION FOR CURRENT CONTROL LOOP FOR MULTI-FUNCTIONAL
SINGLE-PHASE GRID-CONNECTED INVERTER
Purpose. Elimination of the error of the inverter current control loop by improving its structure and justifying the parameters,
which will ensure compliance with the current quality standard at the common coupling to the distribution grid of the load and
the multi-functional grid inverter at the output of the renewable source of electrical energy. Methodology. Synthesis of structure
of current control loop based on analysis of processes in electrical circuits and computer simulation. Results. Relationships for
determining the input voltage of the inverter, reactor inductance and modulation frequency in accordance with the grid voltage,
the maximum values of the inverter current and the amplitude of its ripple when combining the function of the active power filter.
Dependencies of the amplitude of the pulsations of the output current of the inverter and the errors in the fundamental harmonic
in accordance with the voltage at the input of the inverter, the modulation frequency and inductance of the output reactor are
obtained. Originality. The structure of the inverter current control loop has been improved with a combination of proportional,
integrating and differentiating links, and their parameters have been determined to ensure compensation of the disturbing action
on input of the reference and compensation of the error of current from the disturbing action of the grid voltage regardless of its
value. Practical value. The obtained solutions are the basis for the design of converters of electric power systems with renewable
sources of electricity with improved energy efficiency. References 10, figures 7.
Key words: multi-functional single-phase grid-connected inverter, nonlinear load, PWM, current control loop, current error
compensation, THD, simulation.
Мета. Усунення похибки контуру регулювання струму інвертора шляхом удосконалення його структури та
обґрунтування параметрів, що сприятиме відповідності стандарту якості струму в точці підключення до
розподільчої мережі навантаження і багатофункціонального мережевого інвертора на виході поновлювального
джерела електроенергії. Методика. Синтез структури контуру регулювання струму на базі аналізу процесів у
електричних колах з використанням комп’ютерного моделювання. Результати. Одержані залежності амплітуди
пульсацій вихідного струму інвертора і похибки за основною гармонікою від напруги на вході інвертора, частоти ШІМ
і індуктивності реактора. Співвідношення для визначення значень вхідної напруги інвертора, індуктивності реактору
та частоти ШІМ згідно напрузі мережі, максимальних значень струму інвертора та амплітуди його пульсацій за
суміщенням функції силового активного фільтра. Наукова новизна. Удосконалено структуру контуру регулювання
струму зі сполученням пропорційної, інтегруючої та диференціючої ланок і визначені їх параметри для забезпечення
компенсації збурюючої дії за завданням і компенсації похибки струму від збурюючої дії напруги мережі незалежно від її
значення. Практичне значення. Отримані рішення є основою для проектування перетворювачів для систем з
поновлювальними джерелами електроенергії з покращеною енергоефективністю. Бібл. 10, рис. 7.
Ключові слова: багатофункціональний мережевий інвертор, нелінійне навантаження, ШІМ, контур регулювання
струму, компенсація похибки струму, коефіцієнт гармонік, моделювання.
Цель. Устранение погрешности контура регулирования тока инвертора путем совершенствования его структуры и
обоснования параметров, что позволит обеспечить соответствие стандарту качества тока в точке подключения к
распределительной сети нагрузки и многофункционального сетевого инвертора на выходе возобновляемого источника
электроэнергии. Методика. Синтез структуры контура регулирования тока на базе анализа процессов в
электрических цепях с использованием компьютерного моделирования. Результаты. Получены зависимости
амплитуды пульсаций выходного тока инвертора и ошибки по основной гармонике от напряжения на входе
инвертора, частоты ШИМ и индуктивности реактора. Соотношения для определения значений входного
напряжения инвертора, индуктивности реактора и частоты ШИМ в соответствии с напряжением сети,
максимальными значениями тока инвертора и амплитуды его пульсаций при совмещении функции силового
активного фильтра. Научная новизна. Усовершенствована структура контура регулирования тока инвертора с
сочетанием пропорционального, интегрирующего и дифференцирующего звеньев и определены их параметры для
обеспечения компенсации возмущающего действия по заданию и компенсации погрешности тока от возмущающего
действия напряжения сети независимо от его значения. Практическое значение. Полученные решения являются
основой для проектирования преобразователей для систем с возобновляемыми источниками электроэнергии и
улучшенной энергоэффективностью. Библ. 10, рис. 7.
Ключевые слова: многофункциональный сетевой инвертор, нелинейная нагрузка, ШИМ, контур регулирования тока,
компенсация ошибки тока, коэффициент гармоник, моделирование.
Introduction. The use of a renewable energy source
(RES) implies the presence of a fairly complex and
expensive conversion unit with an output grid-connected
autonomous voltage inverter (AVI). Under natural
conditions, the use of equipment for a photovoltaic solar
cell does not exceed 20 % [1]. For local objects (small
enterprise, cottage, mini-hotel, etc.) with power supply
from the RES and the distribution grid (DG) of the
alternating current, increasing the efficiency of the use of
the conversion unit is achieved by the use of a multi-
functional grid-connected AVI with a combined function
of the power active filter (PAF) [1-9] thanks to its round-
the-clock use to maintain the maximum (close to 1) power
factor at the point of connection to the DG.
Typical solutions in the current control circuit
(CCC) of the multi-functional AVIs are the use of a
proportional-integral (PI) regulator [1, 3, 4], the
36 ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.4
proportional-resonant regulator [1], the relay current
regulator [1, 2], the regulator on the basis of the fuzzy-
logic [5]. Solutions using PWM are More widespread [1,
3, 5-9]. The development of the CCC with the use of
PWM is quite diverse. So, in [1, 5] the deviation ΔiС of
the current iC of the AVI relative to the given value i*
C
(iC = i*
C – iC) is fed to the proportional-integral (PI)
current regulator. Since its efficiency is insufficient,
variants are given in [1], where to the output voltage of
the current regulator they add the voltage proportional to
the DG voltage u1, or to the output of the current regulator
through the corresponding elements they add voltages
proportional to i*
C, iC and u1.
The data above is not sufficient for perception and
evaluation. For example, oscillograms of currents and
indicators of circuits are given, but it is not indicated for
which value (nominal, maximum, minimum). Structures
are mostly declared, techniques for calculating parameters
are absent. For a nonlinear load, the current iC is non-
sinusoidal, compensating for the distortion of the load
current form iL. For this, the DG current i1 = iC – iL
contains the first harmonic, and higher (modulation)
harmonics are suppressed by the filter. The operation
error i*
C leads to the appearance in the current i1 of higher
harmonics of low order and the deterioration of the
harmonic composition of the current, especially for its
relatively small values, as evidenced by the oscillograms
given in [3, 4]. This complicates the issue of ensuring the
correspondence the current harmonic composition to
standards [10].
Consequently, the question of the implementation of
the CCC of multi-functional grid-connected AVI has not
been studied sufficiently and requires additional research.
The goal of the work is to eliminate the error of the
inverter current control circuit by improving its structure
and justification of the parameters that contributes to
compliance with the current quality standard at the point
of connection to the distribution grid of the load and the
multifunctional grid-connected inverter at the output of
the renewable energy source.
Main research materials. Consider the bridge
circuit of the grid-connected AVI (Fig. 1) with the output
LC-filter (Сf with insignificant Rf) at the point of
connection to the AC grid with the voltage u1 = U1msint
and load. The input AVI circuit contains a solar cell (SC)
with a voltage converter (VC) that supports a given
voltage value U at the AVI input.
The operation of the AVI in parallel with the DG in
the mode of the current source provides for the fulfillment
of the condition U = aU1m (a>1) [6, 9]. The rate of change
of the AVI output current diC/dt in this case must exceed
the maximum value for the current setting di*
C /dt. In the
case of the formation of a sinusoidal current, the
maximum value (di*
C /dt)max = ICmmax ( = 2f is the
angular frequency, f = 50 Hz, ICmmax is the amplitude for
the maximum value ICmax of the AVI current). The value
of diC/dt is determined by the voltage at the AVI output
reactor
dt
di
Luuu C
СL 1 , (1)
where uC is the AVI voltage.
The least value of uL takes place at u1 = U1m and
UL = U – U1m = LICmmax. From here a > 1 + LICmmax / U1m.
ZL
uL
U
K1
K4
K3
K2
N
Rf
iС
u1
L
Сf
iL
i1
Навантаження
С
Б
+
П
Н
С
uС
Load
SC
+
V
C
Fig. 1. The structure of the AVI power circles by connecting
to grid and load
When combining the PAF function and operation on
the nonlinear load, the AVI current shape is distorted, and
the value of a determines the possibility of working out
the maximum value (di*
C /dt)max without error. At non-
sinusoidal iL, harmonics with multiplicity i = 1, 3, 5, ...
and the amplitude Im(i) = Im(1) /i are added. For the
approximate estimation, let's take into account the largest
of them the 3rd harmonic. We accept Im(1) = ICmmax, then
.21
3
3
1
1
max
1
max
1
max
m
Cm
m
Cm
m
Cm
U
IL
U
IL
U
IL
a
The inductance L of the AVI reactor according to the
relative value of b of the voltage UL (by the 1st harmonic) for
the maximum AVI current ICmax b = UL / U1 = LICmax / U1
(where U1 is the current value of the DG voltage), we
determine as
max
1
Cm
m
I
bU
L
. (2)
Accordingly, a > 1 + 2b.
The simplified structure of the CCC in accordance
with (1) is shown in Fig. 2. The dotted line shows the
compensation circuits. T is the small uncompensated
time constant of the AVI, which is determined by the
frequency of PWM. The coefficients k, j, the
compensating links of the DC and K are discussed further.
+ +
i*C
Lu
L
1
iC
iC
-
-
u1
ДК
+ uС
iC
+
К
kj
Tp+1
АІН
DC K
AVI
Fig. 2. Current control circuit of the AVI
According to Fig. 2, constantly acting disturbing
influence, which causes the «static» error of current
processing, is the voltage u1, even at i*
C = 0.
The typical nonlinear load of local objects is
uncontrolled rectifiers (usually with an output capacitive
ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.4 37
filter) in the office equipment and household appliances
that use the pulsed current iV. For this, during the
switching of the diodes in the AVI current setting, which
is determined taking into account the load current, we
have the corresponding to iV current change i*
C (by a
jump-like change in the derivative of the current i*
C). At a
limited frequency of PWM, these current changes are
delayed, which results in the appearance of a «dynamic»
error and distortion of the current shape of the DG. So, we
have a disturbance on the control signal. This leads to a
deterioration of the harmonious composition of the grid
current, making it difficult to ensure its compliance with
the standards for values I1m ≤ 0.25ICmmax.
Consider the implementation of PWM for the case
when two reference voltages uТR and (–uТR) of a triangular
shape with a modulation frequency fM which are
symmetric with respect to 0 are used (Fig. 3). Switching
of the keys of the first arm (K1, K2) is carried out
provided that the given voltage u* ≥ uТR, and of the second
one (K3, К4) – u* ≤ –uТR.
In the absence of regulators in the PWM block, the
voltage, which is proportional to ΔiС, is compared with
uТR. In the case of the formation of positive half-wave of
uC, two voltage values U and 0 (for negative half-wave,
respectively, –U and 0) are used and the voltage uL takes
the value:
if uC = U, then the value uL = U – u1 = L
dt
diC and the
current iC increases (the initial deviation ΔiС relative to
the average value of ΔiСAV (error of current processing) is
positive (i*
C >iC) and decreases to zero and then becomes
negative (i*
C <iC)) (Fig. 3);
if uC = 0, then the value uL = 0 – u1 = L
dt
diC and the
current decreases (ΔiС increases to zero, and then
becomes positive). Since fM is large enough, it can be
assumed that on the modulation interval T the voltage u1
and current i*
C are unchanged. Consequently, the current
fluctuates relative to the given value and changes
according to the linear law, the rate of its change depends
on the values u1 and uC.
We assume that the current iС and, accordingly,
diC/dt vary according to the harmonic law. The amplitude
of current pulsations ΔIСm is determined by the coefficient
of filling the pulses of the AVI voltage = ton / T (ton is
the key activation time, T is the modulation period) and
does not depend on the current value. Therefore, we
assume that the given value of the AVI current is zero.
So, we have:
at u1→0, the value γ0, accordingly, ΔIСm→0
(Fig. 3,a). For this, the mean value of the current
deviation during the modulation period is iCAV(t) = 0.
The rates of growth and decrease of current are different,
which in the case of γ > 0 leads to an increase
iCAV(t) > 0. That is, the mean value iCAV(t) gradually
increases;
the value γ = 0.5, when ΔIСm is the maximum
(Fig. 3,b), meets the condition
aU1m – U1msint = –U1msint), and
M
m
CmCm Lf
aU
II
16
1
max ; (3)
at u1 = U1m, the value of γ is maximal (Fig. 3,c), it
can be found under the condition that
Т
Ldtu
0
0 , or
U1m(a – 1)γ + U1m(0 – 1)(1 – γ) = 0.
Accordingly, γmax = 1/a and
M
m
Cm Lf
Ua
I
4
1 1
1
. (4)
U
0
0
uTR
uL
ic
-uTR
t
tа)
a
uTR
t
t
u1
б)
0
0
-uTRcmМАХI
ic
uL
U
icAV
b
t
uTR
t
0
0
-uTR
cmМ INI
ic
Im
U U 1m
uL
c
Fig. 3. Determination of amplitude of pulsations and error
of current processing of the AVI with PWM
38 ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.4
We take into account the relation of the rate of
change of iС and the reference voltage
dt
di
dt
du CTR . The
value MTRm
TR fu
dt
du
4 . The maximum value diC/dt
takes place, when uL = 0 – U1m = –U1m and equal to
L
U
dt
di mC 1 . So,
L
U
fu
dt
du m
MTRm
TR 14 (uTRm –
amplitude of uTR), from here
Lu
U
f
TRm
m
M 4
1 . (5)
Based on the condition
Т
Ldtu
0
0 , we can
determine dependencies γ(t) and ΔICm(t). So, for uС > 0
we have U1m(a – sint)γ + U1m(0 – sint)(1 – γ) = 0.
From here
a
t sin
.
Current deviation amplitude
M
m
Cm Lf
aU
I
2
1 1
.
Taking into account the value of γ we obtain
tta
aLf
U
tI
M
m
Cm 2cos5.05.0sin
2
1 . For uC < 0
we have the same situation. So,
tta
aLf
U
tI
M
m
Cm 2cos5.05.0sin
2
1 ,
t
a
u
ti TRm
CAV sin .
The boundary is the mode where the current error
amplitude Im approaches uTRm and ΔICm1 = 0 at a = 1. In
general, it is necessary to fulfill the condition
TRCmm uII 1 . (6)
Otherwise there is an additional (superfluous)
switching of the keys of the inverter.
The amplitude uTRm can be determined according to
(5), then the amplitude of the fundamental harmonic of
the current error, accordingly to (4) and (6)
M
m
m Lfa
U
I
4
1 ,
or
a
u
I TRm
m . (7)
Values ΔICm at γ = 0.5 and γmax are,
respectively, TRmCm u
a
I
4max , TRmСm u
а
a
I
)1(
1
.
Let's turn to relative value ΔICmmax (to the amplitude
IСmmax)
max
max
mС
Сm
I
I
c
, then accordingly to (2), (3)
bc
a
fM 16
. (8)
So, for example, at b = 0.15, с = 0.05,
а = 1.3 values Im = 0.77uТRm, ICmmax = 0.325uТRm, ICm1 =
= 0.23uТRm. If ICmax = 25 A (ICmmax = 35.35 A), the
modulation frequency by (8) fM = 3400 Hz, then ΔICmmax =
= 1.77 A. Here max2
4
Cmm I
a
I =4.19 A.
To reconcile the scale of the quantities in the direct
channel of deviation, coefficients are introduces (Fig. 2):
max4 CmI
a
k
(without taking into account transmission
coefficients of sensors and uTRm = 1) and j = U/uTRm.
Without taking into account the modulation
components, the «smooth» component of the reactor
voltage according to (1)
1
1
1
11 uju
dt
di
Luuu K
C
СL (uK is the
control voltage varying within (–uTRm, uTRm), u1
С, i1
C are
the voltage and current without taking into account
modulation components). From here
j
u
dt
di
j
L
u C
K
1
1
.
Error ΔiCAV = 0 provided that i*
C=i1
C, respectively,
dt
di
dt
di СС
1*
. From here
j
u
dt
di
J
L
u C
K
1*
. (9)
In the case i*
C = 0, the value uK = u1/j. The voltage
u1 is measurable and the static error can be compensated
by the introduction of the corresponding connection (link
K in Fig. 2).
The exclusion of the current error caused by the
perturbation by the control signal is possible using the
differential link of dynamic compensation (DC) according
to (9) in the AVI current assignment channel.
In real conditions, U1 varies in certain limits. With
the change of U1 at constant fM (8) */ 1Ubb
( NUUU 111 /* , where U1N is the nominal voltage),
*/ 1Uаа ,
ab
bca
с
, which requires readjustment of
the CCC. Another version of the compensation of static
error is the introduction of the integrative link (Fig. 4)
with the coefficient g = fM/k, which calculates the actual
value of ΔiСAV(t) and adds it to the signal of deviation of
current.
The proposed structure of the CCC of the AVI
(Fig. 4) contains final devices, a proportional link with
coefficient k, an integrative link, multipliers, a block of
comparators BC, a generator of reference voltage GRV, a
block of phase auto-adjustment of frequency PLL, a link
of dynamic compensation DC. According to the signal of
the setting of the amplitude of the current of the grid I*1m
from the output of the external voltage regulator OR (it
supports the voltage at the AVI input at a given level
U = U*) a sinusoidal signal of the grid current setting i*1
is formed, which, when generating energy of the SC to the
grid is shifted relative to voltage u1 by 180, and in the
case of power consumption from the grid coincides by the
phase. The AVI current setting is determined taking into
account iL and the capacitive current component of the
filter with the amplitude Ifm(1) = CfU1m. PLL according to
the DG voltage u1 = U1msint and the given value of the
angular frequency ω0 forms signals sint, cost.
ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.4 39
БК
-
i*C
iC
iC
uTR
k
ГОН
I*1m
PLL
0
u1
ЗР
sint
cost
CfU1m
iL
i*1
К
1-
К
4+ +
-
ДК
+
+
+
+
g
p
OR
DC
GRV
BC
Fig. 4. CCC structure
Simulation in Matlab and its results. It made with
combination of nonlinear load (uncontrolled rectifiers
with output capacitance filter and RL-load) and RL-load
(ILm(1) = 19.6 A, φ(1) = 27). The DG contains the
resistances R = 0.02 , XL = 0.02 . Reactor with
L = 0.0042 H and R = 0.1 , Rf = 0.3 , Сf = 60μF. AVI
parameters: ICmax = 25 A, fM = 6800 Hz, U = 405 V
(a = 1.3).
Three variants of CCC are considered: variant 1 –
with DC and compensatory connection by u1; variant 2 –
with DC and the integrating link; variant 3 – using PI-
regulator with adjustment on the symmetric optimum
jkKfT
pKT
L
KT
L
pW M ,1
88
4
2
.
Variant 3 at nonlinear load is operational only with
DC and compensating link by u1 and has the worst
performance at small DG current values.
For example, in the case of I*1m = 3 A, the value
I1m(1) = 2.973 A, THDi1 = 4.79 %. Under the same
conditions for variant 1 I1m(1) = 2.943 A, THDi1 = 3.41 %,
for variant 2 I1m(1) = 2.966 A, THDi1 = 2.68 %. In
addition, variant 2 has the best DG current spectrum
(Fig. 5) and provides THDi1 ≤ 5 % in the range of values
of I1m up to 0.05 I1mmax (I1mmax in this case is 35.35 A). In
the case of change of u1, variant 2 does not need to be
readjusted, so by U*1 = 0.85 at I*1m = 3 A, I1m(1) = 2.97 A,
THDi1 = 2.5 %. In variant 1, under the same conditions,
I1m(1) = 3.3 A, THDi1 = 2.83 %, which implies a change in
the coefficient in the link K (Fig. 2).
Oscillograms of u1, uС, i1, ΔICm(t) at the linear load
with the DC are shown in Fig. 6. Oscillograms of u1, uС,
i1, iС, iL for I*1m = 3 A at the combined linear and
nonlinear load (rectifiers with capacitive filter and RL-
load) for variant 2 are shown in Fig. 7 (I*1m = 3 A,
I1m(1) = 2.97 A, THDi1 = 2.97 %).
For comparison in [3] with use in the CCC of the PI-
regulator at fM = 20 kHz, I1m = 10 A (IСm = 20 A, current
amplitude of the nonlinear load ILm = 9 A), the value of
THDi1 = 4.8 %.
0 5 10 15 20 25 30 35 40
0
0.5
1
1.5
2
Harmonic order
Fundamental (50Hz) = 2.943 , THD= 3.41%
M
ag
(
%
o
f
F
un
da
m
en
ta
l)
а
0 5 10 15 20 25 30 35 40
0
0.05
0.1
0.15
0.2
Harmonic order
Fundamental (50Hz) = 2.966 , THD= 2.68%
M
ag
(
%
o
f
F
un
da
m
en
ta
l) b
Fig. 5. DG current spectra: a – variant 1; b – variant 2
-200
0
200
-5
0
5
-400
-200
0
200
400
0.05 0.055 0.06 0.065 0.07
-0.5
0
0.5
uC
i1
u1
ΔICm(t)
Fig. 6. Oscillograms of voltage and currents at linear load
-200
0
200
-2
0
2
-40
-20
0
20
40
-20
0
20
0.1 0.105 0.11 0.115 0.12
-400
-200
0
200
400
iС
uC
i1
u1
iL
Fig. 7. Oscillograms of voltage and currents at combined load
40 ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.4
Conclusions.
Based on the received dependencies of the amplitude
of the pulsations of the AVI output current and the
fundamental harmonic error according to the voltage at
the AVI input, the PWM frequency and the inductance of
the output reactor, the parameters of the links to
compensate for disturbing influences are justified. It is
shown that the compensation of the perturbation of the
DG voltage using in the channel of the current deviation
of the integral link does not require readjustment in the
event of a change in the voltage of the grid. The proposed
structure of the CCC of the multifunctional AVI with a
combination of proportional, integrative and differential
links with their respective parameters allows for a limited
value of PWM frequency of 6800 Hz to expand the range
of current values i1 at the point of connection to the grid
in the direction of lower values up to 0.05 from the
maximum current value at the value of THDi1 ≤ 5 % In
this case, the value of the inverter voltage and the PWM
frequency are determined according to the DG voltage,
the reactor inductance, the maximum values of the AVI
current and the amplitude of its pulsations. The results are
obtained for relative values: amplitude of current
pulsations c = 0.0025, the voltage drop on the reactor at
the maximum current (for the 1st harmonic) b = 0.15 and
a = 1.3. A further direction of work is the development of
a model for researching the AVI operation, taking into
account the discreteness of the operation of the digital
control system, to clarify the requirements for its elements
and to assess real indicators.
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Received 07.02.2019
О.О Shavelkin1, Doctor of Technical Science, Professor,
V.V. Kaplun1, Doctor of Technical Science, Professor,
I.O. Shvedchykova1, Doctor of Technical Science, Professor,
1 Kyiv National University of Technologies and Design,
2, Nemirovich-Danchenko Str., Kyiv, 01011, Ukraine,
phone +380 50 9720629,
e-mail: shavolkin@gmail.com, ishved89@gmail.com
How to cite this article:
Shavelkin О.О, Kaplun V.V., Shvedchykova I.O. Error elimination for current control loop for multi-functional single-
phase grid-connected inverter. Electrical engineering & electromechanics, 2019, no.4, pp. 35-40. doi: 10.20998/2074-
272X.2019.4.05.
|
| id | nasplib_isofts_kiev_ua-123456789-159077 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 2074-272X |
| language | Ukrainian |
| last_indexed | 2025-12-07T18:01:19Z |
| publishDate | 2019 |
| publisher | Інститут технічних проблем магнетизму НАН України |
| record_format | dspace |
| spelling | Шавьолкін, О.О. Каплун, В.В. Шведчикова, І.О. 2019-09-22T10:16:32Z 2019-09-22T10:16:32Z 2019 Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора / О.О. Шавьолкін, В.В. Каплун, І.О. Шведчикова // Електротехніка і електромеханіка. — 2019. — № 4. — С. 35-40. — Бібліогр.: 10 назв. — укр., англ. 2074-272X DOI: https://doi.org/10.20998/2074-272X.2019.4.05 https://nasplib.isofts.kiev.ua/handle/123456789/159077 621.314.26 Результати. Одержані залежності амплітуди пульсацій вихідного струму інвертора і похибки за основною гармонікою від напруги на вході інвертора, частоти ШІМ і індуктивності реактора. Співвідношення для визначення значень вхідної напруги інвертора, індуктивності реактору та частоти ШІМ згідно напрузі мережі, максимальних значень струму інвертора та амплітуди його пульсацій за суміщенням функції силового активного фільтра. Результаты. Получены зависимости амплитуды пульсаций выходного тока инвертора и ошибки по основной гармонике от напряжения на входе инвертора, частоты ШИМ и индуктивности реактора. Соотношения для определения значений входного напряжения инвертора, индуктивности реактора и частоты ШИМ в соответствии с напряжением сети, максимальными значениями тока инвертора и амплитуды его пульсаций при совмещении функции силового активного фильтра. Results. Relationships for determining the input voltage of the inverter, reactor inductance and modulation frequency in accordance with the grid voltage, the maximum values of the inverter current and the amplitude of its ripple when combining the function of the active power filter. Dependencies of the amplitude of the pulsations of the output current of the inverter and the errors in the fundamental harmonic in accordance with the voltage at the input of the inverter, the modulation frequency and inductance of the output reactor are obtained. uk Інститут технічних проблем магнетизму НАН України Електротехніка і електромеханіка Електротехнічні комплекси та системи. Силова електроніка Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора Error elimination for current control loop for multi-functional single-phase grid-connected inverter Article published earlier |
| spellingShingle | Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора Шавьолкін, О.О. Каплун, В.В. Шведчикова, І.О. Електротехнічні комплекси та системи. Силова електроніка |
| title | Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора |
| title_alt | Error elimination for current control loop for multi-functional single-phase grid-connected inverter |
| title_full | Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора |
| title_fullStr | Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора |
| title_full_unstemmed | Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора |
| title_short | Усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора |
| title_sort | усунення похибки контуру регулювання струму багатофункціонального однофазного мережевого інвертора |
| topic | Електротехнічні комплекси та системи. Силова електроніка |
| topic_facet | Електротехнічні комплекси та системи. Силова електроніка |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/159077 |
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