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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>COLINS-</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>An Intelligent Adaptive DC Voltage Stabilization with a Digital Control Contour</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Maxim Nepiyvoda</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Serhii Tsyrulnyk</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Volodymyr Tromsiuk</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yaroslav Borodai</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Artem Metelytsya</string-name>
          <email>artemmetelicha@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Vinnytsia National Agrarian University</institution>
          ,
          <addr-line>str. Sonyachna, 3, City, Vinnytsia, 21008</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Vinnytsia Technical Applied College</institution>
          ,
          <addr-line>Khmelnytske highway, 91/2, Vinnytsia, 21000</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>7</volume>
      <fpage>20</fpage>
      <lpage>21</lpage>
      <abstract>
        <p>This paper provides an analysis of the operation of the DC voltage stabilization system with a digital control contour, which uses a linear dependence between the opening pulse duration of the power control element and the output voltage deviation from the nominal one. The work presents the structural and functional diagrams of the voltage stabilization system with a digital control contour. The paper conducted simulation modeling of the proposed schemes in the Multism. The design features and technical parameters of linear and pulsed series stabilizers analyzed the principle of step-down linear step-down DC voltage stabilization with pulsed control used as a basis. DC voltage stabilization system are broadly used in DC microgrids to provide a constant DC voltage for generation and storage components. Changing of load condition affects the quality of voltage in the DC voltage stabilization system. In such condition, an efficient DC voltage stabilization system is required to ensure the proper operation of the converter. Because of the research, a structural diagram of the DC voltage stabilization system with a digital control circuit was built. Based on the constructed structural diagram, the functional schemes of DC voltage stabilization were developed: DC voltage stabilization system based on a 4-bit current-steering DAC, with reference voltage Vref=Vin; DC voltage stabilization system based on an 8-bit current-steering DAC, with reference voltage Vref=Vin; DC voltage stabilization system is based on a 4-bit current-steering DAC, with a reference voltage of Vref=VCC, and used a Wilson current mirror. Simulation modeling of the developed circuits showed the expected results of voltage stabilization using a digital control circuit. In particular, a low level of pulsations was observed without using a filter and a soft start when adjusting the output voltage. Digital control contour, ADC, Current-steering DAC, Control element, Digital control device 0000-0001-9131-5320 (A. Metelytsya); 0000-0002-9383-7752 (M. Nepiyvoda)</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Today, DC systems are broadly used in transportation systems, microgrids, different power systems.
[
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. The DC microgrids are based on various power electronic devices which add several
advantages like low
      </p>
      <p>
        weight and volume, high efficiency and flexibility, as well as isolation,
controllability [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Switching dynamics of the various DC-DC converter lead the DC microgrids
to a nonlinear behavior. Hence, adjusting the output DC voltage is a challenging task [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Attaining
an appropriate control method for DC-DC converters is an important task to better understand the design
aspect of the controller and stability problem [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
EMAIL:
2013tvd@gmail.com
(V.
      </p>
      <p>Tromsiuk);
ORCID:
0000-0002-5703-9761
(S.</p>
      <p>Tsyrulnyk);
0000-0001-5022-8159
(V. Tromsiuk); 0000-0002-4071-023X (Y. Borodai);</p>
      <p>2023 Copyright for this paper by its authors.</p>
      <p>
        The intelligent adaptive DC voltage stabilization with a digital control contour can be used, for
instance, in the IoT (Internet of Things) automatically regulate battery charge. Also, such constant
voltage stabilizers can ensure the high energy efficiency of the Low-power Wide-area Network for the
IoT [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. In the IOT network, individual nodes are often implemented as system-on-chip solutions,
containing sensors, signal processors, and wireless transceivers. To power the nodes, multiple possible
energy sources are available but those sources are typically harvested by inductive or capacitive dc–dc
power converters. Compared with impulsive dc–dc proposed DC voltage stabilization with a digital
control contour no off-chip inductors and is suitable for monolithic low power energy harvesting
applications such as modern IOT smart nodes [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>The purpose of this work is to design and research a smooth ramp DC voltage stabilization system
that can detect and adjust abnormal voltage levels to ensure a sufficiently stable output and control the
output voltage through feedback. The DC voltage stabilization system with a digital control circuit is
quite intelligent, as it allows you to automatically monitor the change in the output voltage. The reaction
to a change in the output voltage changes the parameters of the circuit in such a way as to obtain the
most stable voltage value with a minimum error. In addition, the proposed technical solutions make it
possible to abandon the use of a voltage amplifier in stabilizer circuits due to the use of a
currentsteering DAC and a current adder.</p>
      <p>It is necessary to solve the following tasks to achieve the goal:
1. Build a DC voltage stabilization with a digital control contour.
2. Build a DC voltage stabilization with a digital control contour using a current-steering DAC
using a Wilson current mirror to linearize the voltage/code conversion characteristics.
3. Conduct research and modeling of proposed schemes.
4. Determine the influence of current-steering DAC parameters with current output on the
operation of the DC voltage stabilizer.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature analysis</title>
      <p>
        When designing such sources, developers prefer pulsed voltage stabilizers, because compared to
linear stabilizers, they have undeniable and very significant advantages – these are high efficiency, and,
as a result, low heat generation, as well as low weight and small dimensions [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. However,
stabilizers with linear control have a simpler circuit and a lower level of nonlinear distortions, and there
is no need to use filters with high selectivity. The linear and pulse combination of voltage stabilization
allows us to achieve significantly better results. Using a digital control circuit, they provide significantly
better characteristics than other DC voltage stabilization schemes. The digital control circuit allows
getting significantly better characteristics than other DC voltage stabilizations. The use of a digital
control circuit instead of an analog one makes it possible to eliminate the temperature and time drift of
parameters, which is characteristic of analog circuits and is the subject of modern research [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ],
[
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>
        Changes in voltage lead to temporary or permanent failure of the load. Due to uncontrolled low or
high voltage, the life of computer systems and networks is reduced. Voltage fluctuations occur because
of unexpected load changes or problems in the power system. The use of DC voltage stabilization
technology with a digital control circuit and power electronic devices in the design of intelligent
stabilizers leads to the provision of a stable voltage on the constant power load [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>
        It is necessary to provide them with a stable supply voltage for the normal functioning of most
computer systems, networks, and other intelligent systems. The main factors that cause voltage
fluctuations are power supply voltage fluctuations; change in the frequency of the mains current; load
resistance fluctuations and temperature change. Depending on the type of computer systems and
networks, the relative change in the supply voltage (output/output voltage) · 100% can vary from 0.005
to 3% or more [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], [13]. Low stability is in which the voltage (current) changes by more than 5%,
average - 1...5%, high - 0.1...1%, and precision - less than 0.1% [14]. Intending to tackle climate change,
80 Plus Titanium certification requires server and data storage hardware to deliver 90% power
efficiency levels in 10% load conditions, and 96% efficiencies when dealing with 50% loads,” said,
Asif Jakwani, senior vice president and general manager, Advanced Power Division, at Onsemi [15].
      </p>
      <p>
        Classic linear controllers are generally used in DC-DC converter controllers [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. However, because
of the nonlinear feature of the systems, linear control techniques may only guarantee signal stability.
However, in large disturbances, they are not effective for load changes. In [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], adaptive
backstepping control are used for estimation of uncertain changes in constant power load in a fast
dynamic response which resulted in a fast and precise DC voltage tracking under high load changes.
The main advantages of backstepping controller are systematic frame for controller design, easy to
understand, simple performance, linear parameter inconsistencies, nonconformities, and successful rule
out for uncertainty. Adaptive backstepping control is one of the most effective nonlinear synchronous
control methods for solving stability and tracking problems [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>
        The amount of pulsation of the output voltage determines the electromagnetic compatibility of power
sources with the load. Electronic systems based on digital elements require less stable power supply
parameters. For example, digital microcircuits require a constant voltage supply with a ripple of no
more than 1%. The concept of DC voltage stabilization with a digital control contour allows for
eliminating periodic disturbances that multiply the network frequency. Voltage ripples are transferred
to higher frequencies, which are determined by an external generator. Such pulsations can be easily
smoothed out with an ordinary ceramic capacitor [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], [14], [16].
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Design of the scheme DC voltage stabilization with a digital control contour with a reference voltage equal to Vin</title>
      <p>The organization of the control device DC voltage stabilization in a digital form involves the
transition to discrete values, which are limited by the number of discrete values determined by the bit
rate of the counter and the current-steering DAC. Therefore, the quality of the output voltage will
depend not only on the level of input ripples but also on the bit rate of the counter, the current-steering
DAC, and the speed of the ADC.</p>
      <p>An example of Figure 1 shows the structural diagram of the DC voltage stabilization system with a
digital control contour. The structural diagram consists of a digital control contour and a
powerregulating element. In such a system, the control signal of the regulating element is formed in the form
of a binary code, which is converted into an analog signal using the current-steering DAC, and an ADC
is used to control the output voltage. The value of the DC voltage on the load is estimated by a digital
control contour. It compares it with the specified value and modifies the control binary code in such a
way that, with the help of the regulating element, the possible deviation of the output voltage is
minimized.</p>
      <p>The structural diagram in Figure 1 consists of the digital control contour, Control element, and Load.
The digital control contour consists of ADC, Digital control device, and the current-steering DAC. The
digital control device consists of the comparator and reversing binary counter. In the future, the digital
control contour can be replaced by a microcontroller, which will greatly simplify the DC voltage
stabilizer system.</p>
      <p>The practical implementation of such a DC voltage stabilization system, in the vast majority of cases,
involves the use of a DAC based on an R-2R matrix with an output signal in the form of a voltage, the
level of which is determined by the formula [17], [18]:</p>
      <p>Vref</p>
      <p>Vout = 2n D, (1)
where Vref is the value of the reference voltage; n-bit DAC; D is a coefficient determined from 0 to
2n-1 depending on the input binary code.</p>
      <p>Thus, the DAC output signal level does not exceed the reference voltage, which is not critical if the
output voltage of the DC voltage stabilization system does not exceed the DAC supply voltage (shown
in Figure 2a). Otherwise, the output level of the DAC is not sufficient to control the regulating element
and it is necessary to use an additional DC amplifier (shown in Figure 2b).</p>
      <p>Such a DC amplifier should have high-temperature stability and the possibility of linear
amplification of the input signal with a level of several millivolts, which narrows the possibility of
selecting specialized microcircuits and, accordingly, increases their cost. In turn, the disadvantage of
the DAC structure with weighted resistors is a wide range of resistance values of resistors that serve to
form discharge currents. In addition, to ensure conversion accuracy, resistor ratings must be met with
precise accuracy.</p>
    </sec>
    <sec id="sec-4">
      <title>3.1. Functional diagram of DC voltage stabilization based on current-steering DAC</title>
      <p>The use of the current-steering DAC on binary-weighted resistors as part of a DC voltage
stabilization system makes it possible to design stabilizers with an output voltage significantly higher
than the supply voltage of the digital part without the use of an amplifier. An example of Figure 3 shows
a functional diagram of a possible version of such voltage stabilization with a digital control contour
based on current-steering DAC on binary-weighted resistors.</p>
      <p>The scheme works as follows. The digital control device forms a control binary code, according to
which the corresponding weight resistors are connected and a control signal for the control transistor is
formed at the output of the current-steering DAC on binary-weighted resistors. The base current, which
is amplified by the transistor by a factor of hFE, flows through the load and creates a corresponding
voltage drop on it. Control of the current value of the voltage on the load is carried out through a divider,
which reduces the high output voltage to a level safe for the digital part of the stabilizer, no higher than
I =
(3)
,
where R0 is the internal resistance of the reference voltage source.</p>
      <p>For such a schematic implementation of the current-steering DAC on binary-weighted resistors, the
reference voltage is equal to the supply voltage, taking into account the voltage drops at the base-emitter
transition of the control element. In this way, it is possible to build DC voltage stabilization with an
output voltage that is limited from above only by the opening voltage of the transistor switches. As a
key in this case, it is necessary to use a transistor with n-conductivity.</p>
    </sec>
    <sec id="sec-5">
      <title>3.1.1. Experimental research DC voltage stabilization based on currentsteering DAC scheme in Multisim</title>
      <p>Based on the proposed concept of building a DC voltage stabilization system with a digital control
contour, a circuit was developed in the Multisim [19] environment, the results of which are shown in
Figure 4.</p>
      <p>The digital control device is built based on a reversible binary four-bit counter 74193N with a
comparator on logic elements. The DAC is implemented on keys based on field-effect transistors with
binary weighted resistors. A single-bit ADC is built on an operational amplifier and a zener diode to
limit the output level to the value of a logical unit of digital logic. The regulating element is built based
on a bipolar transistor of the p-n-p structure. A typical HEX indicator is used for visual control of the
control binary code from the output of the digital control device. Regulation of the output signal is
ensured by changing the threshold level at the input of the operational amplifier by a potentiometer,
which is powered by a source of a stabilized reference voltage.</p>
      <p>Figure 5 shows the oscillogram of the output voltage of the DC voltage stabilization scheme with a
digital control contour, from which it can be seen that the voltage on the load after turning on the power
gradually (without emissions) increases from zero to a certain value and then follows it with a certain
level of pulsation. In essence, the digital control contour provides an adaptive change in the output DC
voltage depending on the load change.</p>
      <p>The DC voltage on the load varies in a relatively narrow range. This principle of setting the voltage
on the load shows the features of linear and impulse control. This principle allows you to smooth out
pulsations with an ordinary ceramic capacitor of small capacity. Reducing the requirements for
selecting a filter allows you to increase the efficiency and reduce the dimensions of the DC voltage
stabilizer system.</p>
      <p>If you limit the supply voltage of the Vin DC voltage stabilization system to 30V, it becomes
possible to use 7406N buffer elements (inverters with an open collector) as transistor switches, with a
maximum operating voltage of 30V and an output current of 40mA [20]. When the input voltage level
of the DC stabilizer with a digital control contour exceeds 30V, power elements that operate at higher
voltages must be used.</p>
      <p>The results of the study of a modified DC voltage stabilization scheme with a digital control circuit
using two 74193N reversing counters and eight 7406N buffer elements are shown in Figure 6. That is,
an 8th divided current-steering DAC on binary-weighted resistors is formed in this way, which increases
the number of possible counts to 256.</p>
      <p>The scheme shown in Figure 6 works in the same way as the scheme shown in Figure 4, with the
difference that in the latter scheme, there are 256 steps of changing the output voltage, and in the first
scheme there are only 16 of them.</p>
      <p>The oscillogram of the operation of the modified voltage stabilization system for a fixed load of 15Ω
at different values of the output voltage: 20V, 16V, 12V, 4V, and 8V is shown in Figure 7. Each shelf
corresponds to the stabilized level of the output voltage on the load.</p>
      <p>The analysis of the oscillogram indicates a clear nonlinearity of the control code-output voltage
dependence, which is caused by the dependence of the base current gain of the 2N4918G control
element on the collector current, which is shown in Figure 8 [21]. As can be seen from the dependence,
when the collector current increases from 15mA to 1500mA, the transmission coefficient hFE decreases
from 150 to 18. This dependence affects the operation of the circuits shown in Figures 4 and 6.</p>
      <p>The implementation of the functional circuit of the DC voltage stabilization based on the
currentoutput DAC shown in Figures 4 and 6 uses the supply voltage Vin, taking into account the voltage drops
at the base-emitter junction of the regulating transistor, as a reference voltage. Thus, with fluctuations
(pulsations) of the supply voltage Vin and a fixed code at the output of the digital control device, the
output current of the DAC is modulated, which is a control signal for the regulating transistor, which
manifests itself in the form of additional voltage ripples on the load.</p>
    </sec>
    <sec id="sec-6">
      <title>3.1.2. Experimental research of the influence of input voltage ripples on the load voltage</title>
      <p>The results of the study of the influence of the supply voltage fluctuation on the output voltage ripple
are shown in Figure 9. The conditions of the research: supply voltage Vin=24V, the pulsation shape is
sinusoidal, the amplitude of the pulsations is 2.8V, the frequency is 50Hz, the frequency of the clock
generator is 1000Hz and 100kHz (the ratio of the frequency of the pulsations on the load to the
frequency of pulsations of the supply voltage 10:1 and 1000:1), the output voltage of the stabilizer is
12V. The oscillogram of the load voltage at different ratios of the clock frequency of the generator to
the pulsation frequency of the supply voltage is shown in Figure 10.</p>
      <p>The oscillogram of the load voltage at different ratios of the clock frequency of the generator to the
pulsation frequency of the supply voltage is shown in Figure 10-12.</p>
      <p>The analysis of the results of the study of the effect of power supply voltage ripple on the output
voltage of the stabilizer at different frequencies of the clock generator shows that the level of ripples
under ideal conditions (Vin=const) is 332 mV (Figure 10). When the supply voltage fluctuates within
± 11.7% and the ratio between the oscillation frequency (Fu10) and the pulsation frequency (Fin) of the
supply voltage is 10:1, the amplitude of the pulsation on the load is Vload=1.24V (Figure 11). When
the ratio of the oscillation frequency (Fu10) of the load voltage to the fluctuations frequency of the
supply voltage is 100:1, the pulsation amplitude is 945 mV (Figure 12). Accordingly, the growth of
ripples in relation to ideal conditions occurs by 3.7 times (1.24V/332mV) at a frequency ratio of 10:1
and by 2.8 times (945mV/332mV) at a frequency ratio of 100:1.</p>
      <p>Therefore, the use of a DAC with a surge output, which is built according to the functional scheme
shown in Figure 3, leads to a significant additional increase in the level of output voltage ripples relative
to what is observed under ideal conditions.</p>
    </sec>
    <sec id="sec-7">
      <title>3.2. Design of the functional diagram DC voltage stabilization with a digital</title>
      <p>control contour with a reference voltage equal to VСС</p>
      <p>It is possible to get rid of the influence of supply voltage fluctuations when building a DAC with a
current output with the simultaneous possibility of increasing the output voltage of the stabilization
system above the supply voltage of the digital part (UL&gt;VCC) by applying the schematic solutions
shown in Figure 13.</p>
      <p>In the given scheme, the digital control device forms a binary code, according to which the
corresponding weighting resistors are connected and a control signal (base current) is formed at the
output of the DAC, which is amplified by the transistor VT1 and causes a voltage drop on the collector
resistor. Transistor VT2 is a current amplifier that forms the output voltage on the load. Control of the
current value of the voltage on the load is carried out through a divider, which reduces the high output
voltage to a safe level for the digital part of the stabilizer (ADC is conventionally not shown). The
output current of the DAC shown in the figure is described by the formula (2).</p>
    </sec>
    <sec id="sec-8">
      <title>3.2.1. Experimental research DC voltage stabilization with a digital control</title>
      <p>contour with a reference voltage equal to VСС</p>
      <p>Based on the proposed functional scheme (Figure 13) of stabilization with a digital control circuit,
a device scheme was developed, the results of which are shown in Figure 14.</p>
      <p>The digital control device is made on two reversible binary four-bit counters 74193N with a
comparator. A single-bit ADC is built on an operational amplifier and a zener diode to limit the output
level to the value of a logical unit of digital logic. The eight-bit current-steering DAC is implemented
on weight resistors with switches on p-channel field-effect transistors. The regulating element is a
bipolar compound transistor according to the Darlington scheme of the n-p-n structure. In order to
linearize the dependence of the control code - voltage on the load, a Wilson current mirror [22], [23],
[24] is applied on transistors T1, T2, T3. The load voltage (Vload) is adjusted by a potentiometer by
changing the threshold level at the input of a one-bit ADC (operational amplifier).</p>
      <p>The oscillogram of the result of the research scheme (Figure 14) 15Ω at different values of the load
voltage: 20V, 16V, 12V, 8V, 4V, and 3V is shown in Figure 15. Each value of the DC output voltage
is highlighted by a step, and the transition by a linear gradient. It can be seen from the figure 15 that the
output voltage changes smoothly and linearly.</p>
      <p>The oscillogram of voltage pulsations on the load for the set voltage levels of: 20V, 16V, 12V, 8V,
4V, and 3V is shown in Figure 16.</p>
      <p>The results of the study of scheme 14 show that the level of voltage ripples on the load is lower than
that of scheme 9.</p>
    </sec>
    <sec id="sec-9">
      <title>4. Conclusions</title>
      <p>In the paper, a research of DC voltage stabilization with a digital control contour was conducted,
based on the results of which the following conclusions can be drawn:
1. It has been previously established that DC voltage stabilization with a digital control contour
based on a voltage DAC contains a DC amplifier that must have high-temperature stability and the
ability to amplify a signal starting from a few millivolts relative to zero, which narrows the
possibility of selecting microcircuits and increases their value.
2. Two variants of schematic solutions with regulating transistors of the p-n-p type (Figures 3, 4, 6,
9) and n-p-n type (Figures 13, 14) based on a current-steering DAC on binary-weighted resistors are
proposed, which makes it possible to design stabilizers with a voltage on the load Vload, which can
significantly exceed the recovery voltage of the digital circuit VCC without the use of an additional
DC amplifier.
3. To simplify the demonstration of the principle of operation of the proposed circuit solutions for
both types of circuits, the ADC is implemented by a single-bit operational amplifier, and the digital
control device made of available reversible counters and digital logic elements.
4. The research circuits form the voltage on the load in the form of the sum of the constant level
and the pulsating component, which has an amplitude corresponding to the quantization level of the
junior circuit of the current-steering DAC, and a frequency two times lower than the frequency of
the clock generator of the digital control contour.
5. Circuits on one p-n-p type transistor (Figures 3, 4, 6, 9) have a non-linear relationship between
the control code and the load voltage, which leads to an uneven quantization step by level and a
conditional dependence of the gain of the control transistor on the magnitude of the collector current.
6. Stabilization of direct current voltage built according to the functional scheme shown in Figure
3 can suppress the passage of pulsation from the supply voltage circuit Vin to the load circuit. The
effectiveness of such suppression is correlated with the ratio of the frequency of the clock generator
to the pulsation frequency of the supply voltage Vin, which gives the direction of finding the optimal
value of the frequency of the clock generator of the digital control contour.
7. DC voltage stabilization built according to the functional scheme shown in Figure 13 has a
stabilized reference voltage. At the same time, the use of Wilson's current mirror as part of the
current-steering DAC linearizes the dependence of the control code - the load voltage, which
equalizes the quantization step at low and high set levels of the load voltage.
8. Proposed versions of the current DAC with binary-weighted resistors require preliminary
selection of the resistances of the resistors and have a limitation on the number of effectively
working discharges, which can be overcome by using a microcontroller as a digital control device.
9. The proposed principles of the construction of DC voltage stabilization with a digital control
contour can design power supply devices for computer systems and networks.</p>
    </sec>
    <sec id="sec-10">
      <title>5. References</title>
      <p>[13] X. Wang, P. C. Loh, and F. Blaabjerg. "Stability analysis and controller synthesis for single-loop
voltage-controlled VSIs." IEEE Transactions on Power Electronics 32.9 (2017): 7394-7404. doi:
10.1109/TPEL.2016.2632065.
[14] D. K. Singh, J. Singh, R. R. Ravela, Design and Performance Study of Cost-Effective Smart Servo
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