CN112421605B - Direct current micro-grid improved droop control method based on passive integration - Google Patents
Direct current micro-grid improved droop control method based on passive integration Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J1/00—Circuit arrangements for dc mains or dc distribution networks
- H02J1/10—Parallel operation of dc sources
- H02J1/102—Parallel operation of dc sources being switching converters
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J1/00—Circuit arrangements for dc mains or dc distribution networks
- H02J1/10—Parallel operation of dc sources
- H02J1/106—Parallel operation of dc sources for load balancing, symmetrisation, or sharing
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M1/00—Details of apparatus for conversion
- H02M1/08—Circuits specially adapted for the generation of control voltages for semiconductor devices incorporated in static converters
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M3/00—Conversion of dc power input into dc power output
- H02M3/02—Conversion of dc power input into dc power output without intermediate conversion into ac
- H02M3/04—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters
- H02M3/10—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M3/145—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
- H02M3/155—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only
- H02M3/156—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M1/00—Details of apparatus for conversion
- H02M1/0003—Details of control, feedback or regulation circuits
- H02M1/0025—Arrangements for modifying reference values, feedback values or error values in the control loop of a converter
Abstract
The invention discloses a direct-current micro-grid variable droop coefficient control method based on passive integral control. Compared with the traditional droop control method, the improved droop control method has the advantages that the passive integral controller is selected for adjusting the capacitor voltage, the direct current bus voltage control and the output current sharing control are added, and the Constant Power Load (CPL) working condition can be well adapted. The method ensures that the voltage of the direct current bus is equal to the set original reference voltage through the reference voltage compensation quantity of the converter. According to the droop coefficient correction method, the droop coefficient correction quantity is obtained by outputting the current sharing error, the current non-uniform distribution caused by different line impedances is eliminated, and a good current uniform distribution effect can be achieved. Compared with other improved droop control methods, the droop control method has the advantages that system oscillation cannot occur under the condition of constant-power load, the adjusting speed is high, and the stable state can be quickly achieved.
Description
Technical Field
The invention belongs to the field of direct current micro-grid control of an electric power system, relates to an improved droop control method based on passive integral control, and particularly relates to a reference voltage compensation control and droop coefficient correction control method under a passive integral controller and a direct current micro-grid system with a Constant Power Load (CPL) and a resistive load controlled by applying the method.
Background
Along with the wider application of the microgrid in a new energy system, the research on the control method of the microgrid is also gradually deepened. The microgrid may be classified into an ac microgrid and a dc microgrid. Compared with an alternating-current micro-grid, the direct-current micro-grid has the advantages of no reactive power balance problem, easiness in realizing access control of distributed renewable energy sources, low loss, high stability and the like. The load conditions of the direct current microgrid are various, wherein due to the fact that the incremental impedance of the CPL presents a negative impedance characteristic, the stability and the dynamic characteristic of the system are affected. How to control and realize current equalization and bus voltage control under constant power load is a key research point.
In the direct-current microgrid control, the droop control is widely used. Droop control is simple and easy to realize, and can be realized only by capacitance voltage feedback and output current feedback of each topology. The control reduces communication, improves stability, reduces cost and is very suitable for a direct current micro-grid. However, conventional droop control uses a fixed droop coefficient and a reference voltage, and there is typically variability in line impedance. This results in no way for conventional droop control to ensure current proportioning while ensuring bus voltage control. Bus voltage control and output current equal-division control become a pair of inherent contradictions. To resolve this conflict, some improved droop control has been proposed. Application publication No. CN110323735A describes a method for improved droop control with bus voltage recovery. The resistance information of the active measurement line is utilized, and the voltage recovery unit is introduced, so that the defect of the traditional droop control is overcome. The method has simple control idea and is easy to realize, but when the scale of the direct current microgrid reaches a certain degree, impedance measurement has certain difficulty. Also, the complex communication required to measure the impedance can affect the stability of the system.
The general improved droop control is not ideal for controlling the CPL operating condition, and the system may be unstable when the constant power load varies. Therefore, there is a need to develop an adaptive control method that can better adapt to a constant power load and can simultaneously achieve better bus voltage control accuracy and output current sharing effect.
Disclosure of Invention
The invention aims to achieve the following aims: (1) the two direct current boost converters are connected in parallel to the direct current bus, so that the voltage of the direct current bus is equal to the reference voltage value; (2) correcting the droop coefficient to realize current sharing under different line impedances; (3) when the load is a Constant Power Load (CPL), the bus voltage can still be stabilized and an ideal current sharing effect can be achieved after the load is adjusted for a period of time after jumping.
The purpose of the invention is realized by the following technical scheme: the direct-current microgrid comprises 2 BOOST converters, the 2 BOOST converters are named as a #1 converter and a #2 converter respectively, the circuit parameters of the two converters are the same, but the circuit impedances of the output ends are different; the load is connected into a resistive load or a constant power load in parallel with the direct current bus, and the resistive load or the constant power load is switched into the load through two switches.
Further, the control of the #1 converter and the #2 converter is mainly divided into three parts. The first part is the compensation of reference voltage, the second part is the correction of droop coefficient, and the third part is the passive integral control of capacitor voltage.
Further, the control strategy is divided into the following steps:
s1, completing the collection of the electric quantity and acquiring the bus voltage ubusThen the set reference voltage value urefComparing, and obtaining the voltage control error u by differenceerror;
S2, obtaining the voltage control deviation u from the step S1errorAnd sending the signals to a PI controller. The #1 converter and the #2 converter respectively adopt two different PI controllers, and the two controllers input the same control error voltage and output different control quantities. #1 converter obtains the reference voltage offset Δ u1Compensating the reference voltage by an amount Δ u1And the original reference voltage value urefSumming to obtain a new reference voltage value uref1. Similarly, the #2 converter obtains the reference voltage compensation amount delta u through the PI controller2Compensating the reference voltage by an amount Δ u2And the original reference voltage value urefSumming to obtain a new reference voltage value uref2;
S3, for converter # 1, the droop coefficient is kept constant at K, and the output current i of converter # 1 is adjusted1Multiplying by the droop coefficient K to obtain drop1Then drop1New voltage reference vector u obtained in step S2ref1Obtaining a new capacitance voltage reference value u of the #1 converter by difference1 *. Then u will be obtained1 *Minus the feedback value u of the capacitor voltage1Obtaining a capacitor voltage control error uc_error_1. The expression of the capacitance voltage control error of the #1 converter and the #2 converter is shown as the formula (1);
s4, calculating a capacitance-voltage control error u of the #2 converter according to the formula (1)c_error_2. The droop coefficient K of the #2 converter needs a correction quantity delta K, and the output current i of the #2 converter is adjusted2Multiplying the sum K of the droop coefficient K and the correction quantity delta K2Get drop2Then drop2And the new voltage reference value u obtained in the step S2ref2Obtaining a new reference value u of the capacitance voltage of the #2 converter by difference2 *. Wherein correction quantity delta K is based on output current i of #1 converter and #2 converter1、i2Difference i oferrorAnd (4) obtaining an output result through a PI controller. Is obtained byTo u2 *Subtracting the feedback value u of the capacitor voltage2Obtaining a capacitor voltage control error uc_error_2;
S5, using u obtained in the step S3c_error_1And #1 converter capacitor voltage u1An inductor current iL1And inputting a DC voltage value Vdc1As the input quantity of the passive integral controller, the output quantity d of the controller is obtained after passing through the passive integral controller1Then d is added1Sending the signal into a triangular wave comparator for PWM modulation to obtain a control signal PWM of a switching tube of the #1 converter1. Similarly, u obtained in step S4c_error_2And #2 converter capacitor voltage u2Inductor current iL2Input DC voltage value Vdc2As the input quantity of the passive integral controller, the output quantity d of the controller is obtained after the input quantity passes through the passive integral controller2Then d is added2Sending the signal to a triangular wave comparator for PWM modulation to obtain a control signal PWM of a switching tube of a #2 converter2。
Further, the passive integral controller in step S5 includes the steps of:
s51, for a non-linear single-signal input single-signal output system (SISO) Boost circuit, the system is represented as:
wherein, the first and the second end of the pipe are connected with each other,is the differential of a 2-dimensional column state vector, the state variables of which comprise the inductive current and the capacitive voltage; y and h (x) represent the output function, with y1、y2Represents the output function of the #1 and #2 converters; the function u is a switching function, and when the switching frequency is higher than the set value, the continuous quantity d in step S5 can be used1、d2Representing; f (x) is called the vector field and g (x) is the n × p matrix vector field.
S52, selecting a storage function V (x) for the BOOST system determined in the step S51, and enabling the BOOST system to meet the following conditions, namely, the system is a passive system;
s53, selecting memory function V of converter # 1 and converter #21(x)、V2(x) So that the following relation is satisfied, namely a passive condition is achieved:
wherein v ise、ieThe balance point capacitance output voltage and the inductance current of the converter are respectively, and the v of the converter # 1 and the v of the converter # 2 are the same due to the same circuit parameterseAnd ieAs well. k represents a constant, deAnd deThe' expression is the equilibrium point duty cycle, the sum of which is 1.z is a radical of formula1And z2Respectively representing the control error uc_error_1And control error uc_error_2Is calculated. L is1、L2Representing the inductance of the dc converter and R the equivalent resistance of the load.
S54, selecting output function y of #1 converter and #2 converter1、y2:
S55, multiplying the output function in the step S54 by d1、d2The obtained result is compared with the formula (4) in step S53. The system satisfies the passive condition (3) in step S52. Then, the control law of the #1 converter and the #2 converter is obtained:
wherein phimaxIs a constantAnd (4) counting.
The beneficial effects of the invention are:
according to the improved droop control of the direct current micro-grid based on the passive integral control, a control error is obtained by comparing the output voltage of each topology with the voltage of the direct current bus, PI control is carried out to obtain a reference voltage compensation quantity, the voltage values of output capacitors of all converters are guaranteed to be larger than or equal to the original reference voltage, and the voltage of the direct current bus is guaranteed to be equal to the set original reference voltage.
The droop coefficient correction delta K is obtained by using the control error obtained by the output current of each direct current converter through the PI controller. Therefore, the droop coefficients of the direct current converters are different, the current unequal caused by different line impedances is eliminated, and a good current equal-dividing effect can be achieved.
Compared with other improved droop control methods, the method has the advantages that the load jump working condition under the constant-power load condition is high in adjusting speed, the required adjusting time is short, the stable state can be quickly achieved, and system oscillation cannot occur.
Drawings
FIG. 1 is a schematic diagram of a main circuit topology and a control flow thereof according to an embodiment of the present invention;
FIG. 2 is a block diagram of the passive modeling and control method according to an embodiment of the present invention;
fig. 3 is a voltage waveform diagram of a dc bus before and after resistive load jumps in the PLECS simulation according to the embodiment of the present invention;
FIG. 4 is a waveform diagram of output current of a DC converter before and after resistive load jump in PLECS simulation according to an embodiment of the present invention;
fig. 5 is a voltage waveform diagram of the dc bus before and after CPL jumps in the PLECS simulation according to the embodiment of the present invention;
FIG. 6 is a waveform diagram of the output current of the DC converter before and after CPL jump in PLECS simulation according to the embodiment of the present invention;
Detailed Description
The technical scheme of the invention is further explained by combining the attached drawings.
As shown in fig. 1, the dc microgrid system is composed of 2 boost converters. The 2 BOOST converters are named as a #1 converter and a #2 converter respectively, the circuit parameters of the two converters are the same, but the line impedance of the output end is different. The load is connected into a resistive load or a constant power load in parallel with the direct current bus, and the resistive load or the constant power load is switched into the load through two switches.
Further, the control of the converter # 1 and the converter # 2 is mainly divided into three parts. The first part is the compensation of reference voltage, the second part is the correction of droop coefficient, and the third part is the passive integral control of capacitor voltage.
As shown in fig. 2, a modeling and control process for droop control based on passive integral control is shown. The transfer relationship of each variable is illustrated.
Further, the control strategy is divided into the following steps:
s1, completing the collection of electric quantity and obtaining a bus voltage ubusThen summed with the set reference voltage value urefComparing, and obtaining the voltage control error u by differenceerror;
S2, obtaining the voltage control deviation u from the step S1errorAnd sending the signals to a PI controller. The #1 converter and the #2 converter respectively adopt two different PI controllers, and the two controllers input the same control error voltage and output different control quantities. #1 converter obtains the reference voltage offset Δ u1Compensating the reference voltage by an amount Δ u1And the original reference voltage value urefSumming to obtain a new reference voltage value uref1. Similarly, the #2 converter obtains the reference voltage compensation amount delta u through the PI controller2Compensating the reference voltage by an amount Δ u2And the original reference voltage value urefSumming to obtain a new reference voltage value uref2;
S3, for the converter # 1, the droop coefficient is kept constant K, and the output current i of the converter # 1 is adjusted1Multiplying by the droop coefficient K to obtain drop1Then drop1New voltage reference vector u obtained in step S2ref1Obtaining a new capacitance voltage reference value u of the #1 converter by difference1 *. Then u will be obtained1 *Minus the feedback value u of the capacitor voltage1Obtaining a capacitor voltage control error uc_error_1. The expression of the capacitance voltage control error of the #1 converter and the #2 converter is shown as the formula (1);
s4, calculating a capacitance-voltage control error u of the #2 converter according to the formula (1)c_error_2. The droop coefficient K of the #2 converter needs a correction quantity delta K, and the output current i of the #2 converter2Multiplying the sum K of the droop coefficient K and the correction quantity delta K2To obtain a drop2Then drop2And the new voltage reference value u obtained in the step S2ref2Obtaining a new # 2 converter capacitor voltage reference value u by difference2 *. Wherein correction quantity delta K is output current i according to #1 converter and #2 converter1、i2Difference i oferrorAnd (4) obtaining an output result through a PI controller. With the u obtained2 *Subtracting the feedback value u of the capacitor voltage2Obtaining a capacitor voltage control error uc_error_2;
S5, using u obtained in the step S3c_error_1And #1 converter capacitor voltage u1Inductor current iL1And inputting a DC voltage value Vdc1As the input quantity of the passive integral controller, the output quantity d of the controller is obtained after passing through the passive integral controller1Then d is added1Sending the signal into a triangular wave comparator for PWM modulation to obtain a control signal PWM of a switching tube of the #1 converter1. Similarly, u obtained in step S4c_error_2And #2 converter capacitor voltage u2Inductor current iL2Input DC voltage value Vdc2As the input quantity of the passive integral controller, the output quantity d of the controller is obtained after passing through the passive integral controller2Then d is2Sending the signal into a triangular wave comparator for PWM modulation to obtain a control signal PWM of a switching tube of a #2 converter2。
Further, the passive integral controller in step S5 includes the following steps:
s51, for a non-linear single-signal input single-signal output system (SISO) Boost circuit, the system is represented as:
wherein, the first and the second end of the pipe are connected with each other,is the differential of a 2-dimensional column state vector, and the state variables of the 2-dimensional column state vector comprise inductive current and capacitive voltage; y and h (x) represent the output function, with y1、y2Represents the output function of the #1 and #2 converters; the function u is a switching function, and when the switching frequency is higher than the set value, the continuous quantity d in step S5 can be used1、d2Representing; f (x) is called the vector field and g (x) is the n × p matrix vector field.
S52, selecting a storage function V (x) for the BOOST system determined in the step S51, and enabling the BOOST system to meet the following conditions, namely, the system is a passive system;
s53, selecting memory function V of converter # 1 and converter #21(x)、V2(x) So that the following relation is satisfied, namely a passive condition is achieved:
wherein v ise、ieThe balance point capacitor output voltage and the inductive current of the converter are respectively, and the v of the #1 converter and the v of the #2 converter are the same due to the same circuit parameterseAnd ieAs such. k represents a constant, deAnd deThe' expression is the equilibrium point duty cycle, the sum of which is 1.z is a radical of1And z2Respectively representing control errors uc_error_1And control error uc_error_2Is integrated. L is1、L2Represents the inductance of the dc converter and R represents the equivalent resistance of the load.
S54, selecting output function y of converter # 1 and converter # 21、y2:
S55, multiplying the output function in the step S54 by d respectively1、d2The obtained result is compared with formula (4) in step S53. It is described that the system satisfies the passive condition (3) in step S52. Then, the control law of the #1 converter and the #2 converter is obtained:
wherein phimaxIs a constant.
The beneficial effects of the invention are:
according to the improved droop control of the direct current micro-grid based on the passive integral control, disclosed by the invention, a control error is obtained by comparing the output voltage of each topology with the voltage of a direct current bus, and PI (proportional-integral) control is carried out to obtain a reference voltage compensation quantity, so that the voltage values of output capacitors of all converters are ensured to be larger than or equal to the original reference voltage, and the voltage of the direct current bus is ensured to be equal to the set original reference voltage.
The droop coefficient correction delta K is obtained by using the control error obtained by the output current of each direct current converter through the PI controller. Therefore, the droop coefficients of the direct current converters are different, the current unequal caused by different line impedances is eliminated, and a good current equal-dividing effect can be achieved.
Compared with other improved droop control methods, the method has the advantages that the load jump working condition under the constant-power load condition is high in adjusting speed, short in required adjusting time and capable of quickly achieving a stable state, and system oscillation cannot occur.
In order to verify the feasibility of the proposed passive integral control-based direct current microgrid for improving droop control, a direct current microgrid simulation model containing two BOOST converters is built in a PLECS simulation environment. And a comparison test is carried out to compare the difference of the control effect of improving the droop control under the passive integral control and the PI control. The input voltage of the first BOOST converter is 12V, and the input voltage of the second BOOST converter is 12V. The inductances of the first and second BOOST converters are both 200 muH, L1=L2=200 muH, the output capacitance of the first BOOST converter and the second BOOST converter are both 200 muF, i.e. C1=C2=200 μ F. The line resistance of the first BOOST converter is 2.5 Ω and the line resistance of the second BOOST converter is 1 Ω. The load selection resistive load jumps from 10 Ω to 5 Ω and then back to 10 Ω. If the load selects a constant power load, the power will jump from 57.6W to 115.2W and then back to 57.6W. The voltage reference is set to 24V.
Fig. 3 shows a dc bus voltage waveform of the dc microgrid system before and after a resistive load jump. The input dc voltage is held constant at 12V and the load is changed from 10 Ω to 5 Ω and then back to 10 Ω. Under two load conditions, the bus voltage can reach the target set value of 24V after a certain adjusting time, and the steady-state error is zero. However, compared with waveforms under PI control and passive integral control, the improved droop control under the passive integral control has more outstanding dynamic performance, does not have large voltage drop and voltage rise, and can recover to reset the set direct-current bus voltage after a certain adjusting time.
Fig. 4 shows the output current waveform of the converter before and after the resistive load jump of the direct-current micro-grid system. Fig. 4 (a) shows the output current of a dc converter based on an improved droop control for PI control; fig. 4 (b) shows the dc converter output current based on the improved droop control of passive integration. The input dc voltage is held constant at 12V, and the load changes from 10 Ω to 5 Ω at 0.4s, and then back to 10 Ω at 0.8 s. Under both load conditions, it can be seen that the improved droop control can achieve a good current sharing effect. The output current of the #1 converter and the #2 converter can reach the current sharing effect of 1.
Fig. 5 shows the voltage waveform of the direct-current bus of the direct-current microgrid system before and after the CPL jump condition. The input dc voltage is held constant at 12V, the load is changed from 57.6W to 115.2W at 0.4s and then back to 57.6W at 1.4 s. Compared with the bus voltage waveform of the improved droop control under the PI control and the passive integral control, the improved droop control under the PI control cannot maintain the constant voltage of the direct current bus after the CPL jumps, and the voltage of the direct current bus is in constant amplitude oscillation. The improved droop control based on the passive integral control can recover the direct current bus voltage to 24V after a certain adjusting time, so that the steady-state error is zero.
Fig. 6 shows output current waveforms of the dc converters before and after the CPL jump of the dc microgrid system. Fig. 6 (a) shows the output current of a dc converter based on an improved droop control for PI control; fig. 6 (b) shows the dc converter output current for improved droop control based on passive integration. The input dc voltage is held constant at 12V, the load is changed from 57.6W to 115.2W at 0.4s and then back to 57.6W at 1.4 s. Compared with the output current waveform of the direct current converter with improved droop control under PI control and passive integral control, the improved droop control under PI control cannot maintain the output current after CPL jumps, and the output currents of the #1 converter and the #2 converter show constant amplitude oscillation. The improved droop control based on the passive integral control can achieve a good flow equalizing effect after a certain adjusting time, and the output current proportion is 1.
The simulation and comparison results fully show that the improved droop control based on the passive integral control provided by the method has feasibility, and has good direct-current bus voltage control precision and current sharing effect of the output current of the converter under the CPL jump. The method for obtaining the reference voltage compensation value by utilizing the reference voltage and the direct current bus voltage control error in a self-adaptive mode can control the direct current bus voltage, and the direct current bus voltage is equal to the set reference voltage. The problem of voltage drop caused by the traditional droop control is solved; the method for obtaining the control error and further obtaining the droop coefficient correction by utilizing the output current of the converter can achieve a good current equalizing effect, realize 1.
It will be appreciated by those of ordinary skill in the art that the embodiments described herein are intended to assist the reader in understanding the principles of the invention and it is to be understood that the scope of the invention is not to be limited to such specific statements and embodiments. Those skilled in the art, having the benefit of this disclosure, may effect numerous modifications thereto and changes may be made without departing from the scope of the invention in its aspects.
Claims (1)
1. A droop control method of a direct current micro-grid based on passive integration is improved; the direct current micro-grid consists of 2 BOOST converters, the 2 BOOST converters are named as a #1 converter and a #2 converter respectively, the circuit parameters of the two converters are the same, but the line impedances of the output ends are different; the load is connected into a resistive load or a constant power load, is connected with the direct current bus in parallel, and is selectively switched into the resistive load or the constant power load through two switches; the control of the converter #1 and the converter #2 mainly comprises three parts, wherein the first part is reference voltage compensation, the second part is droop coefficient correction, and the third part is passive integral control of capacitor voltage; when the load selects a constant-power load, a control strategy needs to achieve a good control effect and output oscillation cannot occur, and the control strategy comprises the following steps:
s1, completing the collection of the electric quantity and acquiring the bus voltage ubusThen summed with the set reference voltage value urefComparing, and obtaining the voltage control error u by differenceerror;
S2, obtaining a voltage control deviation u from the step S1errorSending the data to a PI controller; the converter #1 and the converter #2 respectively adopt two different PI controllers, the two controllers input the same control error voltage and output different control quantities; #1 converter obtains the reference voltage compensation amount Δ u1Compensating the reference voltage by an amount Δ u1And the original reference voltage value urefSumming to obtain a new reference voltage value uref1(ii) a Similarly, the #2 converter obtains the reference voltage compensation amount delta u through the PI controller2Compensating the reference voltage by an amount Δ u2And the original reference voltage value urefSumming to obtain a new reference voltage value uref2;
S3, for the converter #1, the droop coefficient is kept constant K, and the output current i of the converter #1 is adjusted1Multiplying the droop coefficient K to obtain drop1Then drop1New voltage reference vector u obtained in step S2ref1Obtaining a new reference value u of the capacitance voltage of the #1 converter by difference1 *(ii) a Then u will be obtained1 *Minus the feedback value u of the capacitor voltage1Obtaining a capacitor voltage control error uc_error_1(ii) a The expression of the capacitance voltage control error of the #1 converter and the #2 converter is shown as the formula (1);
s4, calculating the capacitance voltage control error u of the #2 converter according to the formula (1)c_error_2(ii) a The droop coefficient K of the #2 converter needs a correction quantity delta K, and the output current i of the #2 converter2Multiplying the sum K of the droop coefficient K and the correction quantity delta K2To obtain a drop2Then drop2And the new voltage reference value u obtained in the step S2ref2Obtaining a new #2 converter capacitor voltage reference value u by difference2 *(ii) a Wherein correction quantity delta K is based on output current i of #1 converter and #2 converter1、i2Difference i oferrorAn output result obtained by the PI controller; using the obtained u2 *Subtracting the feedback value u of the capacitor voltage2Obtaining a capacitor voltage control error uc_error_2;
S5, using u obtained in the step S3c_error_1Capacitor voltage u of and #1 converter1Inductor current iL1And inputting a DC voltage value Vdc1As the input quantity of the passive integral controller, the input quantity is controlled by the passive integral controllerOutput d of the controller1Then d is added1Sending the signal to a triangular wave comparator for PWM modulation to obtain a control signal PWM of a switching tube of a #1 converter1(ii) a Similarly, u obtained in step S4c_error_2And #2 converter capacitor voltage u2Inductor current iL2And inputting a DC voltage value Vdc2As the input quantity of the passive integral controller, the output quantity d of the controller is obtained after passing through the passive integral controller2Then d is2Sending the signal into a triangular wave comparator for PWM modulation to obtain a control signal PWM of a switching tube of a #2 converter2;
Further, the passive integral controller in step S5 includes the following steps:
s51, for a (SISO) Boost circuit of a nonlinear single-signal input single-signal output system, the system is expressed as:
wherein the content of the first and second substances,is the differential of a 2-dimensional column state vector, the state variables of which comprise the inductive current and the capacitive voltage; y and h (x) represent the output function, with y1、y2Represents the output function of the #1 and #2 converters; the function u is a switching function, and when the switching frequency is higher than the set value, the continuous quantity d in step S5 can be used1、d2Representing; f (x) is called the vector field, g (x) is the n × p matrix vector field;
s52, selecting a storage function V (x) for the BOOST system determined in the step S51, so that the storage function V (x) meets the following conditions, namely the system is a passive system;
s53, selecting storage function of #1 converter and #2 converterV1(x)、V2(x) So that the following relation is satisfied, namely a passive condition is achieved:
wherein v ise、ieThe balance point capacitance output voltage and the inductance current of the converter are respectively, and the v of the converter #1 and the v of the converter #2 are the same due to the same circuit parameterseAnd ieThe same is carried out; k represents a constant, deAnd deDenotes the equilibrium point duty cycle, the sum of which is 1; z is a radical of1And z2Respectively representing control errors uc_error_1And control error uc_error_2Integral of (2); l is a radical of an alcohol1、L2The inductance of the direct current converter is represented, and R represents the equivalent resistance of a load;
s54, selecting output function y of converter #1 and converter #21、y2:
S55, multiplying the output function in the step S54 by d1、d2Comparing the obtained result with formula (4) in step S53; the system is explained to satisfy the passive condition (3) in step S52; then, the control law of the #1 converter and the #2 converter is obtained:
wherein phimaxIs a constant.
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