CN116522580A - Buck-Boost intermediate frequency inversion main circuit parameter optimization method - Google Patents
Buck-Boost intermediate frequency inversion main circuit parameter optimization method Download PDFInfo
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Abstract
The application relates to a Buck-Boost medium-frequency inversion main circuit parameter optimization method, which comprises the steps of establishing a mathematical model between a preset optimization object and a preset optimization object; wherein, the optimization object is the main circuit parameter of the Buck-Boost intermediate frequency inverter circuitThe optimization objective includes the actual output voltage u o With its preset reference output voltage u N Deviation value Deltau between and actual output voltage u o Harmonic distortion THD of (2); establishing a mathematical model, and establishing a corresponding multi-objective optimization model by using a weighted sum method; optimizing main circuit parameters by adopting a snake optimization algorithm to obtain a group of optimal main circuit parameters; sequentially changing the rated output frequency of the Buck-Boost intermediate frequency inverter circuit according to preset intervals to obtain n groups of optimal main circuit parameters; and performing numerical fitting on the obtained n groups of optimal main circuit parameter data to obtain a fitting function relation between the optimal main circuit parameters and the rated output frequency of the optimal main circuit parameters. The method has the effect of optimizing the parameters of the main circuit suitable for the intermediate frequency inverter circuit.
Description
Technical Field
The application relates to the technical field of direct-current stabilized power supplies, in particular to a Buck-Boost intermediate-frequency inversion main circuit parameter optimization method.
Background
Aiming at the defects of complex structure, large volume and the like of the current low-ripple high-stability direct-current stabilized power supply, the related technology provides a direct-current stabilized power supply topological structure consisting of a three-phase PWM (pulse-width modulation) rectifying circuit, a three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit and a three-phase bridge type uncontrollable rectifying circuit; under different output frequencies, the Buck-Boost intermediate frequency inverter circuit needs to perform corresponding optimization adjustment on main circuit parameters, otherwise, the problems of large output voltage harmonic wave, large output voltage steady state error and the like are caused.
The related art discloses a preferred method for calculating the main circuit parameters of the BBMC at different rated frequencies to realize the main circuit parameters at different output frequencies, but the method is only suitable for the low frequency range of the output frequency of the BBMC at 400Hz and below, and for the low ripple adjustable dc regulated power supply of the Buck-Boost intermediate frequency inverter circuit (the output voltage frequency must reach 1kHz and above), the preferred method for calculating the main circuit parameters of the BBMC at different rated frequencies is not suitable, so that the main circuit parameter optimization adjustment method of the Buck-Boost intermediate frequency inverter circuit needs to be improved.
Disclosure of Invention
In order to design a main circuit parameter optimization adjustment method suitable for a Buck-Boost intermediate frequency inverter circuit, the application provides a Buck-Boost intermediate frequency inverter main circuit parameter optimization method.
The first object of the present invention is achieved by the following technical solutions:
a Buck-Boost intermediate frequency inversion main circuit parameter optimization method comprises the following steps:
s10: establishing a mathematical model between a preset optimization object and a preset optimization object; wherein, the optimization object is the main circuit parameter of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit, and the optimization object comprises the actual output electricity of the Buck-Boost intermediate frequency inverter circuitPressing u o With its preset reference output voltage u N Offset value Deltau between the voltage and the actual output voltage u of the Buck-Boost intermediate frequency inverter circuit o Harmonic distortion THD of (2);
s20: based on the established mathematical model between the optimization object and the optimization object, establishing a corresponding multi-objective optimization model by using a weighted sum method;
s30: taking any intermediate frequency as the rated output frequency of the Buck-Boost intermediate frequency inverter circuit, and optimizing the main circuit parameters of the Buck-Boost intermediate frequency inverter circuit by adopting a snake optimization algorithm to obtain a group of optimal main circuit parameters;
s40: sequentially changing the rated output frequency of the Buck-Boost intermediate frequency inverter circuit according to preset intervals to obtain n groups of optimal main circuit parameters;
s50: and performing numerical fitting on the obtained n groups of optimal main circuit parameter data to obtain a fitting function relation between the optimal main circuit parameters of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit and the rated output frequency of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit.
The present application may be further configured in a preferred example to: in the step S10, the optimization object is a bridge arm inductance L and a capacitance C of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit.
The present application may be further configured in a preferred example to: the step S10 includes the steps of:
s11: taking any phase of a three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit, and establishing a state differential equation:
wherein: C. l and R are respectively the bridge arm capacitance, the bridge arm inductance and the load resistance of the Buck-Boost intermediate frequency inverter circuit, u C For capacitor voltage, i L Is inductance current, d is duty ratio of power switch in inverter circuit, U dc The direct current voltage at the input side of the inverter circuit;
s12: capacitor voltage u in three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit C As the actual output voltage u of the intermediate frequency inverter circuit o Solving the state differential equation established in step S11, the actual output voltage u o The analytical expression of (2) is:
wherein: t is a certain moment of operation of the intermediate frequency inverter circuit;
s13: calculating the actual output voltage u o Electric and reference output voltage u N The deviation deltau of (2) is:
the present application may be further configured in a preferred example to: the step S10 further includes the steps of:
s14: actual output voltage u of Buck-Boost intermediate frequency inverter circuit o The harmonic distortion THD calculation formula is:
wherein:Y 1 ＝sin(2πd)；Z 1 cos (2pi d); ts is the switching period of the power switch.
The present application may be further configured in a preferred example to: the specific steps of the step S20 are as follows:
s21: creating an objective function f 1 (L, C) to calculate the actual output voltage u o And a reference output voltage u N The minimum value of the deviation deltau between,
s22: creation ofObjective function f 2 (L, C) to calculate the actual output voltage u o A minimum value of harmonic distortion THD of (a),
s23: creating a deviation value Deltau and an actual output voltage u o The constraint function of the harmonic distortion THD of (2) is:
wherein: g 1 (L,C)、g 2 (L, C) are constraint functions of output voltage deviation and output voltage harmonic distortion degree respectively; a1 and A2 are constants preset according to actual conditions respectively;
s24: constructing a multi-objective optimization objective function by using a weighted sum method, wherein the multi-objective optimization objective function is specifically as follows:
wherein f (L, C) is an objective function of multi-objective optimization; k (k) 1 As an objective function f 1 Weight coefficient of (L, C), k 2 As an objective function f 2 Weight coefficient of (L, C).
The present application may be further configured in a preferred example to: in the step S30, a snake optimization algorithm is adopted to optimize main circuit parameters of the Buck-Boost intermediate frequency inverter circuit, so as to obtain a group of optimal main circuit parameters, and the method specifically comprises the following steps:
s31: initializing parameters, including: the method comprises the steps of (1) taking an initial value of a current iteration number a as 1, wherein the population size N, the population dimension dim and the maximum iteration number P;
s32: randomly initializing a population X, wherein the specific expression is as follows:
wherein: x is X i Represents the position of the ith individual, r is a random number and X max X is the upper boundary of the population min Is the lower boundary of the population;
s33: equally dividing the population into male N m And female N f Two groups of specific expressions are:
s34: finding out the individuals f with highest fitness in the male population best,m And the most adaptable individual f in female population best,f And find out the individual with highest fitness in the whole population to represent the food position f food Wherein the calculation formula of the fitness is as follows:
wherein: fitness (i, m) is the fitness of the ith male individual, fitness (i, f) is the fitness of the ith female individual, function f (X i,m )、ff(X i,f ) All are multi-objective optimization models, L, established in the step S32 i,m 、C i,m 、L i,f 、C i,f For the corresponding individual X i,m 、X i,f Representative parameter values;
s35: the environmental temperature Temp and the food quantity Q are calculated, and the specific calculation formula is as follows:
wherein: a is the current iteration number, P is the maximum iteration number, c 1 Is a constant;
s36: if the food quantity Q is smaller than the value 1 Then searching for food according to the random replacement position through the preset population, and then entering step S310; otherwise, step S37 is entered; wherein value is 1 For a set constant value, the population is according to the formula:
wherein: x is X i,m Represents the position of the ith male individual, X rand,m Representing randomly generated male individual position, rand is a random constant, f i,m Indicating the fitness of the ith male individual, f rand,m Is the fitness of randomly generated male individuals, A m Is the ability of a male individual to find food, c 2 Is constant, X i,f Represents the position, X, of the ith female individual rand,f Representing the position, f, of a randomly generated female individual i,f Indicating the fitness of the ith female individual, f rand,f Fitness of randomly generated female individuals, A f Indicating the ability of a female individual to find food;
s37: if the environmental temperature Temp is greater than the value 2 At this time, both the male and female populations eat, wherein value 2 Is a set constant value, and then proceeds to step S310; otherwise, step S38 is entered; the corresponding expression for feeding is as follows:
X i,j (a+1)＝X food ±c 3 ×Temp×rand×(X food -X i,j (a))；
wherein: x is X i,j Is the position of an individual in the population, X food Is the position of the food, c 3 Is a constant;
s38: when random number rand is smaller than value 3 When the population enters a combat state, wherein the value 3 Is a set constant value, and then proceeds to step S310; otherwise, step S39 is entered; the corresponding expression for the combat status is as follows:
wherein: x is X i,m Represents the position of the ith male individual, X best,f Representing the best individual in a female population, FM represents the combat competence of the male individual, X i,f Represent the firstLocation, X, of i female individuals best,m Representing the best individual in the male population, FF representing the combat ability of the female individual;
s39: the population enters a reproduction state, the reproduction offspring replaces the worst individuals in the population, and then the step S310 is carried out, and the expression of the reproduction replacement is as follows:
wherein: m is M m For the reproductive capacity of male individuals, M f For female reproductive capacity, X worst,m X is the worst individual in the male population worst,f Is the worst individual in the female population;
s310: judging whether the maximum iteration times P are reached, if so, proceeding to step S311; otherwise, the iteration number a is increased by 1, and the step S33 is returned;
s311: and outputting the optimal main circuit parameters (L, C).
The present application may be further configured in a preferred example to: the step S50 obtains a fitting function relation between the optimal main circuit parameters of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit and the rated output frequency thereof, wherein the fitting function relation comprises an optimal main circuit capacitor C and the rated output frequency f e The relation between the two formulas is:
wherein: c (f) e ) As the optimal main circuit capacitance function, p 0 、p 1 、p 2 、p 3 、p 4 、p 5 、p 6 、p 7 、p 8 、w C Constant coefficients in the corresponding functional relation;
and optimal main circuit inductance L and rated output frequency f e The functional relation between them is:
L(f e )＝r 0 +r 1 ×cos(w L ×f e )+r 2 ×sin(w L ×f e )+r 3 ×cos(2w L ×f e )+r 4 ×sin(2w L ×f e )+r 5 ×cos(3w L ×f e )+r 6 ×sin(3w L ×f e )+r 7 ×cos(4w L ×f e )+r 8 ×sin(4w L ×f e )
wherein: l (f) e ) R is the optimal inductance function of the main circuit 0 、r 1 、r 2 、r 3 、r 4 、r 5 、r 6 、r 7 、r 8 、w L Is a constant coefficient in the corresponding functional relation.
The present application may be further configured in a preferred example to: after the step S50, the following steps are further performed:
s60: and comparing the optimal main circuit parameter, the deviation value delta u and the harmonic distortion THD which are calculated in an algorithm optimizing mode of the multi-objective optimization model with the optimal main circuit parameter, the deviation value delta u and the harmonic distortion THD which are calculated through a fitting function relation.
The application has the following beneficial technical effects: the invention provides a frequency-adaptive three-phase staggered parallel Buck-Boost intermediate frequency inversion main circuit parameter optimization method, which selects main circuit parameters of a Buck-Boost intermediate frequency inversion circuit as an optimization object, and actually outputs voltage u of the Buck-Boost intermediate frequency inversion circuit o Between the reference voltage u and a preset reference output voltage u N The deviation value delta u of the actual output voltage and the harmonic distortion THD of the actual output voltage are used as optimization targets, a mathematical model of the deviation value delta u and the harmonic distortion THD is created to obtain a calculation relation between the main circuit parameter and the deviation value delta u and the harmonic distortion THD of the actual output voltage of the Buck-Boost intermediate frequency inverter circuit, a multi-target optimization model is further obtained through a weighted sum algorithm, so that optimization coordination of the main circuit parameter on the deviation value delta u and the harmonic distortion THD is balanced, and the optimal main circuit parameter with the deviation value delta u and the harmonic distortion THD being low is obtained as much as possible.
In addition, a continuous combat elimination and reproduction mode of the snakes is simulated by adopting a snake optimization algorithm, and finally, the optimal main circuit parameters of the Buck-Boost intermediate frequency inverter circuit are obtained through calculation; the rated output frequency of the Buck-Boost intermediate frequency inverter circuit is changed through preset intervals, n groups of optimal main circuit parameters can be obtained, the main circuit parameters and the corresponding selected rated output frequency are fitted, and a fitting function for calculating the optimal main circuit parameters of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit at any intermediate frequency is obtained, so that the method is suitable for optimizing and adjusting the main circuit parameters of the Buck-Boost intermediate frequency inverter circuit.
And further comparing the optimal main circuit parameters, the deviation value delta u and the harmonic distortion THD which are calculated by adopting an algorithm optimizing mode of a multi-objective optimizing model with the optimal main circuit parameters, the deviation value delta u and the harmonic distortion THD which are calculated by a fitting function relation under the condition of the same rated output frequency to obtain the optimal main circuit parameters which are basically consistent, and providing a basis for the optimal design of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit under different intermediate frequency by the fitting function relation.
Drawings
FIG. 1 is a topology structure diagram of a main circuit of a low ripple adjustable DC regulated power supply in an embodiment of a preferred method for inverting parameters of a main circuit of a Buck-Boost intermediate frequency inverter;
FIG. 2 is a flowchart of an implementation of a preferred method embodiment of the Buck-Boost intermediate frequency inversion main circuit parameters of the present application;
FIG. 3 is a flow chart of a snake optimization algorithm in a preferred method for parameters of a Buck-Boost intermediate frequency inversion main circuit;
FIG. 4 is a graph of a fitted function of the variation of the optimal capacitance C with the rated output frequency in a preferred method embodiment of the Buck-Boost intermediate frequency inversion main circuit parameters of the present application;
fig. 5 is a graph of a fitted function of the variation of the optimal inductance L with the rated output frequency in a preferred method embodiment of the Buck-Boost intermediate frequency inversion main circuit parameters of the present application.
Detailed Description
The present application is described in further detail below in conjunction with figures 1-5.
In an embodiment, as shown in fig. 1, the topology structure is a main circuit topology structure of a low-ripple adjustable direct-current stabilized voltage supply, and the topology structure comprises three parts of a three-phase PWM rectifying circuit, a three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit and a three-phase bridge type uncontrollable rectifying circuit, wherein the Buck-Boost intermediate frequency inverter circuit is formed by three groups of Buck-Boost Buck circuits with the same structure in a phase staggered parallel manner, and the three groups of Buck-Boost Buck circuits in the figure have the same structure.
The application discloses a Buck-Boost intermediate frequency inversion main circuit parameter optimization method, which specifically comprises the following steps with reference to fig. 2:
s10: establishing a mathematical model between a preset optimization object and a preset optimization object; wherein, the optimization object is the main circuit parameter of the Buck-Boost intermediate frequency inverter circuit with three-phase interleaving parallel connection, and the optimization object comprises the actual output voltage u of the Buck-Boost intermediate frequency inverter circuit o With its preset reference output voltage u N Offset value Deltau between the voltage and the actual output voltage u of the Buck-Boost intermediate frequency inverter circuit o Harmonic distortion THD of (2);
the main circuit parameter is a factor for determining output voltage harmonic waves and output voltage steady-state errors of the Buck-Boost intermediate frequency inverter circuit.
The optimization object is bridge arm inductance L and capacitance C of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit.
The step S10 specifically includes the following steps:
s11: taking any phase of a three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit, and establishing a state differential equation:
wherein: C. l and R are respectively the bridge arm capacitance, the bridge arm inductance and the load resistance of the Buck-Boost intermediate frequency inverter circuit, u C For capacitor voltage, i L Is inductance current, d is duty ratio of power switch in inverter circuit, U dc The direct current voltage at the input side of the inverter circuit;
s12: three-phase staggered parallel Buck-Boost intermediate frequencyCapacitor voltage u in inverter circuit C As the actual output voltage u of the intermediate frequency inverter circuit o Solving the state differential equation established in step S11, the actual output voltage u o The analytical expression of (2) is:
wherein: t is a certain moment of operation of the intermediate frequency inverter circuit;
s13: calculating the actual output voltage u o Electric and reference output voltage u N The deviation deltau of (2) is:
thereby realizing the actual output voltage u o Electric and reference output voltage u N An optimized relation of the deviation value deltau.
In the step S10, the step S13 further includes the following steps:
s14: actual output voltage u of Buck-Boost intermediate frequency inverter circuit o The harmonic distortion THD calculation formula is:
wherein:Y 1 ＝sin(2πd)；Z 1 cos (2pi d); ts is the switching period of the power switch. Thereby realizing the actual output voltage u o Is an optimized relationship between the harmonic distortion levels THD.
S20: based on the established mathematical model between the optimization object and the optimization object, establishing a corresponding multi-objective optimization model by using a weighted sum method;
the target optimization model obtained in the step S20 is used for algorithm optimization calculation to obtain the optimal main circuit parameters under the preselected frequency, namely the optimal inductance L and the optimal capacitance C.
Wherein multi-targeting is in contrast to traditional single-target optimization. The concept of multi-objective optimization is that in a scenario where multiple objectives need to be reached, because of the inherent conflict between objectives that tends to exist, the optimization of one objective is at the expense of the degradation of the other objectives, so that it is difficult to have a unique optimal solution, and instead, coordination and trade-off is made among them to optimize the overall objective as much as possible.
The weighting sum method belongs to one of linear weighting methods in a multi-objective optimization algorithm, and the linear weighting model has the advantages of simple realization, and relatively easy solution by using scaled values to represent the original objective.
The step S20 specifically includes the following steps:
s21: creating an objective function f 1 (L, C) to calculate the actual output voltage u o And a reference output voltage u N The minimum value of the deviation deltau between,
s22: creating an objective function f 2 (L, C) to calculate the actual output voltage u o A minimum value of harmonic distortion THD of (a),
s23: creating a deviation value Deltau and an actual output voltage u o The constraint function of the harmonic distortion THD of (2) is:
wherein: g 1 (L,C)、g 2 (L, C) are constraint functions of output voltage deviation and output voltage harmonic distortion degree respectively; a1 and A2 are constants preset according to actual conditions respectively; the constraint function is used to select a solution that satisfies the condition.
S24: constructing a multi-objective optimization objective function by using a weighted sum method, wherein the multi-objective optimization objective function is specifically as follows:
wherein f (L, C) is an objective function of multi-objective optimization; k (k) 1 As an objective function f 1 Weight coefficient of (L, C), k 2 As an objective function f 2 Weight coefficient of (L, C).
S30: taking any intermediate frequency as the rated output frequency of the Buck-Boost intermediate frequency inverter circuit, and optimizing the main circuit parameters of the Buck-Boost intermediate frequency inverter circuit by adopting a snake optimization algorithm to obtain a group of optimal main circuit parameters;
wherein, the snake optimizing algorithm is inspired by the mating behavior of the snake, if the temperature is low and the food is sufficient, mating can occur, otherwise the snake can only find the food or eat the rest of the food. The snake optimization algorithm is divided into two phases, namely global exploration or local development. Exploration depends on environmental factors, i.e. cold places and food, in which case the snake only looks for food around. For development, this phase includes a number of transition phases to make the global more efficient. In the case of food available but at a high temperature, the snake will only concentrate on eating the food available. If food is available and the area is cold, this can lead to mating processes; the mating process proceeds in combat mode or mating mode. In combat mode, each male will fight for the best female, and each female will attempt to select the best male. In mating mode, mating between each pair of pairs occurs in relation to the availability of a quantity of food. If the mating process occurs, females spawn and hatch into new snakes.
In step S30, a snake optimization algorithm is adopted to optimize main circuit parameters of the Buck-Boost intermediate frequency inverter circuit to obtain a group of optimal main circuit parameters, and the method specifically comprises the following steps:
s31: initializing parameters, including: the method comprises the steps of (1) taking an initial value of a current iteration number a as 1, wherein the population size N, the population dimension dim and the maximum iteration number P;
s32: randomly initializing a population X, wherein the specific expression is as follows:
wherein: x is X i Represents the position of the ith individual, r is a random number and X max X is the upper boundary of the population min Is the lower boundary of the population;
s33: equally dividing the population into male N m And female N f Two groups of specific expressions are:
s34: finding out the individuals f with highest fitness in the male population best,m And the most adaptable individual f in female population best,f And find out the individual with highest fitness in the whole population to represent the food position f food Wherein the calculation formula of the fitness is as follows:
wherein: fitness (i, m) is the fitness of the ith male individual, fitness (i, f) is the fitness of the ith female individual, function f (X i,m )、ff(X i,f ) All are multi-objective optimization models, L, established in the step S32 i,m 、C i,m 、L i,f 、C i,f For the corresponding individual X i,m 、X i,f Representative parameter values;
s35: the environmental temperature Temp and the food quantity Q are calculated, and the specific calculation formula is as follows:
wherein: a is the current iteration number, P is the maximum iteration number, c 1 Is a constant;
s36: if the food quantity Q is smaller than the value 1 Then searching for food according to the random replacement position through the preset population, and then entering step S310; otherwise, step S37 is entered; wherein value is 1 For a set constant value, the population is according to the formula:
wherein: x is X i,m Represents the position of the ith male individual, X rand,m Representing randomly generated male individual position, rand is a random constant, f i,m Indicating the fitness of the ith male individual, f rand,m Is the fitness of randomly generated male individuals, A m Is the ability of a male individual to find food, c 2 Is constant, X i,f Represents the position, X, of the ith female individual rand,f Representing the position, f, of a randomly generated female individual i,f Indicating the fitness of the ith female individual, f rand,f Fitness of randomly generated female individuals, A f Indicating the ability of a female individual to find food;
s37: if the environmental temperature Temp is greater than the value 2 At this time, both the male and female populations eat, wherein value 2 Is a set constant value, and then proceeds to step S310; otherwise, step S38 is entered; the corresponding expression for feeding is as follows:
X i,j (a+1)＝X food ±c 3 ×Temp×rand×(X food -X i,j (a))；
wherein: x is X i,j Is the position of an individual in the population, X food Is the position of the food, c 3 Is a constant;
s38: when random number rand is smaller than value 3 When the population enters a combat state, wherein the value 3 Is a set constant value, and then proceeds to step S310; otherwise, step S39 is entered; the corresponding expression for the combat status is as follows:
wherein: x is X i,m Represents the position of the ith male individual, X best,f Representing the best individual in a female population, FM represents the combat competence of the male individual, X i,f Represents the position, X, of the ith female individual best,m Representing the best individual in the male population, FF representing the combat ability of the female individual;
s39: the population enters a reproduction state, the reproduction offspring replaces the worst individuals in the population, and then the step S310 is carried out, and the expression of the reproduction replacement is as follows:
/>
wherein: m is M m For the reproductive capacity of male individuals, M f For female reproductive capacity, X worst,m X is the worst individual in the male population worst,f Is the worst individual in the female population;
s310: judging whether the maximum iteration times P are reached, if so, proceeding to step S311; otherwise, the iteration number a is increased by 1, and the step S33 is returned;
s311: and outputting the optimal main circuit parameters (L, C).
S40: and sequentially changing the rated output frequency of the Buck-Boost intermediate frequency inverter circuit according to preset intervals to obtain n groups of optimal main circuit parameters.
The preset interval is a numerical interval of rated output frequency, and is set by a worker in a self-defining way.
S50: and performing numerical fitting on the obtained n groups of optimal main circuit parameter data to obtain a fitting function relation between the optimal main circuit parameters of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit and the rated output frequency of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit.
In step S50, a fitting function relation between the optimal main circuit parameters and the rated output frequency of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit is obtained, wherein the fitting function relation comprises an optimal main circuit capacitor C and the rated output frequency f e The relation between the two formulas is:
wherein: c (f) e ) As the optimal main circuit capacitance function, p 0 、p 1 、p 2 、p 3 、p 4 、p 5 、p 6 、p 7 、p 8 、w C Constant coefficients in the corresponding functional relation;
and optimal main circuit inductance L and rated output frequency f e The functional relation between them is:
L(f e )＝r 0 +r 1 ×cos(w L ×f e )+r 2 ×sin(w L ×f e )+r 3 ×cos(2w L ×f e )+r 4 ×sin(2w L ×f e )+r 5 ×cos(3w L ×f e )+r 6 ×sin(3w L ×f e )+r 7 ×cos(4w L ×f e )+r 8 ×sin(4w L ×f e )
wherein: l (f) e ) R is the optimal inductance function of the main circuit 0 、r 1 、r 2 、r 3 、r 4 、r 5 、r 6 、r 7 、r 8 、w L Is a constant coefficient in the corresponding functional relation.
After step S50, the following steps are also performed:
s60: and comparing the optimal main circuit parameter, the deviation value delta u and the harmonic distortion THD which are calculated in an algorithm optimizing mode of the multi-objective optimization model with the optimal main circuit parameter, the deviation value delta u and the harmonic distortion THD which are calculated through a fitting function relation.
The data is compared in a form presentation mode, if the obtained optimal main circuit parameter, the deviation value delta u and the harmonic distortion THD difference value are in a preset error range, the accuracy of the fitting function is proved to be high, so that the time cost for determining the corresponding optimal main circuit parameter can be saved through the operation of the fitting function when the rated output power is changed each time, and the selection of the Buck-Boost intermediate frequency inversion main circuit parameter by a worker is facilitated.
In one embodiment, in order to verify the feasibility of the preferred method for parameters of the Buck-Boost intermediate frequency inversion main circuit provided by the invention, the main parameters of the corresponding adjustable direct current stabilized power supply are set as shown in table 1, and the related parameters of the snake optimization algorithm are set as shown in table 2.
Table 1 shows main parameters of the adjustable dc voltage-stabilized power supply in this embodiment:
table 2 shows the parameters related to the snake optimization algorithm in this example:
according to the parameters shown in tables 1 and 2, the frequency range of the output voltage of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit is set as follows: 500 Hz-2000 Hz, and sequentially selecting 61 groups of frequency data with 25Hz as a space in the range; and then taking each group of selected frequencies as rated output frequency of the Buck-Boost intermediate frequency inverter circuit, and adopting a snake optimization algorithm to optimize the main circuit capacitance and inductance of the intermediate frequency inverter circuit to obtain corresponding optimal capacitance and inductance parameter values shown in table 3.
Table 3 shows the optimal main circuit parameters for different inversion frequencies:
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according to the data shown in table 3, the functional relation between the optimal capacitance C and the optimal inductance L and the rated output frequency is obtained by adopting a numerical fitting method, specifically:
equation A is the optimal capacitance parameter C and the rated output frequency f e The functional relation between the two is as follows:
C(f e )＝p 0 +p 1 ×cos(w C ×f e )+p 2 ×sin(w C ×f e )+p 3 ×cos(2w C ×f e )+p 4 ×sin(2w C ×f e )+p 5 ×cos(3w C ×f e )+p 6 ×sin(3w C ×f e )+p 7 ×cos(4w C ×f e )+p 8 ×sin(4w C ×f e )＝1.498×10 -5 +1.168×10 -5 cos(2.094×10 -3 f e )-5.697×10 -7 sin(2.094×10 -3 f e )+6.168×10 -6 cos(4.188×10 -3 f e )-1.675×10 -6 sin(4.188×10 -3 f e )+2.055×10 -6 cos(6.282×10 -3 f e )-1.103×10 -6 sin(6.282×10 -3 f e )+3.586×10 -7 cos(8.376×10 -3 f e )-2.803×10 -7 sin(8.376×10 - 3 f e )
formula B is the optimal inductance parameter L and the rated output frequency f e The functional relation between the two is as follows:
L(f e )＝r 0 +r 1 ×cos(w L ×f e )+r 2 ×sin(w L ×f e )+r 3 ×cos(2w L ×f e )+r 4 ×sin(2w L ×f e )+r 5 ×cos(3w L ×f e )+r 6 ×sin(3w L ×f e )+r 7 ×cos(4w L ×f e )+r 8 ×sin(4w L ×f e )＝2.173×10 -5 +2.453×10 -5 cos(2.094×10 -3 f e )-4.451×10 -6 sin(2.094×10 -3 f e )+1.321×10 -5 cos(4.188×10 -3 f e )-6.307×10 -6 sin(4.188×10 -3 f e )+4.281×10 -6 cos(6.282×10 -3 f e )-3.703×10 -6 sin(6.282×10 -3 f e )+6.332×10 -7 cos(8.376×10 -3 f e )-9.505×10 -7 sin(8.376×10 - 3 f e )
in order to verify the effect of the method provided by the invention, according to the parameters shown in the table 1 and the parameters of the snake optimization algorithm shown in the table 2, the rated output frequencies of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit are respectively as follows: 510Hz, 620Hz, 730Hz, 840Hz, 980Hz, 1030Hz, 1180Hz, 1205Hz, 1310Hz, 1460Hz, 1570Hz, 1680Hz, 1770Hz, 1880Hz, 1990Hz; for each set of rated output frequencies, referring to fig. 4 and 5, a snake optimization algorithm and formulas a and B are respectively adopted to obtain a fitting function graph of the corresponding optimal capacitance C parameter and optimal inductance L parameter.
Obtaining the actual output voltage u of the Buck-Boost intermediate frequency inverter circuit according to the obtained optimal capacitance C and optimal inductance L parameters o Harmonic distortion THD of (2) and its actual output voltage u o With reference output voltage u set by it N The deviation value delta u between the two values and the optimal main circuit parameter, the deviation value delta u and the actual output voltage u calculated by the multi-objective optimization model o The harmonic distortion THD of (a) is compared with the following table 4:
as can be seen from table 4: the optimal capacitance C and the optimal inductance L obtained under a certain frequency by using the functional relation between the optimal main circuit parameters and the rated output frequency of the optimal main circuit provided by the invention are basically consistent with the optimal capacitance C and the optimal inductance L obtained by independently adopting the algorithm of the multi-objective optimization model under the frequency, thereby providing basis for realizing the main circuit optimization design of the Buck-Boost intermediate frequency inverter circuit under optional frequency.
It should be understood that the sequence number of each step in the foregoing embodiment does not mean that the execution sequence of each process should be determined by the function and the internal logic of each process, and should not limit the implementation process of the embodiment of the present application in any way.
The above embodiments are only for illustrating the technical solution of the present application, and are not limiting; although the present application has been described in detail with reference to the foregoing embodiments, it should be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present application, and are intended to be included in the scope of the present application.
Claims (6)
1. A Buck-Boost intermediate frequency inversion main circuit parameter optimization method is characterized by comprising the following steps of: the method comprises the following steps:
s10: establishing a mathematical model between a preset optimization object and a preset optimization object; wherein, the optimization object is the main circuit parameter of the Buck-Boost intermediate frequency inverter circuit with three-phase interleaving parallel connection, and the optimization object comprises the actual output voltage u of the Buck-Boost intermediate frequency inverter circuit o With its preset reference output voltage u N Offset value Deltau between the voltage and the actual output voltage u of the Buck-Boost intermediate frequency inverter circuit o Harmonic distortion THD of (2);
s20: based on the established mathematical model between the optimization object and the optimization object, establishing a corresponding multi-objective optimization model by using a weighted sum method;
s30: taking any intermediate frequency as the rated output frequency of the Buck-Boost intermediate frequency inverter circuit, and optimizing the main circuit parameters of the Buck-Boost intermediate frequency inverter circuit by adopting a snake optimization algorithm to obtain a group of optimal main circuit parameters;
s40: sequentially changing the rated output frequency of the Buck-Boost intermediate frequency inverter circuit according to preset intervals to obtain n groups of optimal main circuit parameters;
s50: and performing numerical fitting on the obtained n groups of optimal main circuit parameter data to obtain a fitting function relation between the optimal main circuit parameters of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit and the rated output frequency of the three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit.
2. The method for optimizing parameters of a Buck-Boost intermediate frequency inverter main circuit according to claim 1, wherein in the step S10, the optimization object is a bridge arm inductance L and a capacitance C of a Buck-Boost intermediate frequency inverter circuit which are connected in parallel in a three-phase staggered manner.
3. The method for optimizing parameters of the Buck-Boost intermediate frequency inversion main circuit according to claim 2, wherein the step S10 includes the steps of:
s11: taking any phase of a three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit, and establishing a state differential equation:
wherein: C. l and R are respectively a bridge arm capacitor C, a bridge arm inductance L and a load resistance of the Buck-Boost intermediate frequency inverter circuit, and u C For capacitor voltage, i L Is inductance current, d is duty ratio of power switch in inverter circuit, U dc The direct current voltage at the input side of the inverter circuit;
s12: capacitor voltage u in three-phase staggered parallel Buck-Boost intermediate frequency inverter circuit C As the actual output voltage u of the intermediate frequency inverter circuit o Solving the state differential equation established in step S11, the actual output voltage u o The analytical expression of (2) is:
wherein: t is the intermediate frequency inverseA moment when the variable circuit operates;
s13: calculating the actual output voltage u o Electric and reference output voltage u N The deviation deltau of (2) is:
the present application may be further configured in a preferred example to: the step S10 further includes the steps of:
s14: actual output voltage u of Buck-Boost intermediate frequency inverter circuit o The harmonic distortion THD calculation formula is:
wherein:Y 1 ＝sin(2πd)；Z 1 cos (2pi d); ts is the switching period of the power switch.
4. The method for optimizing the parameters of the Buck-Boost intermediate frequency inverter main circuit according to claim 2, wherein in the step S30, a snake optimization algorithm is adopted to optimize the parameters of the Buck-Boost intermediate frequency inverter main circuit to obtain a set of optimal main circuit parameters, and the method specifically comprises the steps of:
s31: initializing parameters, including: the method comprises the steps of (1) taking an initial value of a current iteration number a as 1, wherein the population size N, the population dimension dim and the maximum iteration number P;
s32: randomly initializing a population X, wherein the specific expression is as follows:
wherein: x is X i Represents the position of the ith individual, r is a random number and X max X is the upper boundary of the population min Is the lower boundary of the population;
s33: equally dividing the population into male N m And female N f Two groups of specific expressions are:
s34: finding out the individuals f with highest fitness in the male population best,m And the most adaptable individual f in female population best,f And find out the individual with highest fitness in the whole population to represent the food position f food Wherein the calculation formula of the fitness is as follows:
wherein: fitness (i, m) is the fitness of the ith male individual, fitness (i, f) is the fitness of the ith female individual, function f (X i,m )、ff(X i,f ) All are multi-objective optimization models, L, established in the step S32 i,m 、C i,m 、L i,f 、C i,f For the corresponding individual X i,m 、X i,f Representative parameter values;
s35: the environmental temperature Temp and the food quantity Q are calculated, and the specific calculation formula is as follows:
wherein: a is the current iteration number, P is the maximum iteration number, c 1 Is a constant;
s36: if the food quantity Q is smaller than the value 1 Then searching for food according to the random replacement position through the preset population, and then entering step S310; otherwise, step S37 is entered; wherein value is 1 For a set constant value, the population is according to the formula:
wherein:X i,m represents the position of the ith male individual, X rand,m Representing randomly generated male individual position, rand is a random constant, f i,m Indicating the fitness of the ith male individual, f rand,m Is the fitness of randomly generated male individuals, A m Is the ability of a male individual to find food, c 2 Is constant, X i,f Represents the position, X, of the ith female individual rand,f Representing the position, f, of a randomly generated female individual i,f Indicating the fitness of the ith female individual, f rand,f Fitness of randomly generated female individuals, A f Indicating the ability of a female individual to find food;
s37: if the environmental temperature Temp is greater than the value 2 At this time, both the male and female populations eat, wherein value 2 Is a set constant value, and then proceeds to step S310; otherwise, step S38 is entered; the corresponding expression for feeding is as follows:
X i,j (a+1)＝X food ±c 3 ×Temp×rand×(X food -X i,j (a))；
wherein: x is X i,j Is the position of an individual in the population, X food Is the position of the food, c 3 Is a constant;
s38: when random number rand is smaller than value 3 When the population enters a combat state, wherein the value 3 Is a set constant value, and then proceeds to step S310; otherwise, step S39 is entered; the corresponding expression for the combat status is as follows:
wherein: x is X i,m Represents the position of the ith male individual, X best,f Representing the best individual in a female population, FM represents the combat competence of the male individual, X i,f Represents the position, X, of the ith female individual best,m Representing the best individual in the male population, FF representing the combat ability of the female individual;
s39: the population enters a reproduction state, the reproduction offspring replaces the worst individuals in the population, and then the step S310 is carried out, and the expression of the reproduction replacement is as follows:
wherein: m is M m For the reproductive capacity of male individuals, M f For female reproductive capacity, X worst,m X is the worst individual in the male population worst,f Is the worst individual in the female population;
s310: judging whether the maximum iteration times P are reached, if so, proceeding to step S311; otherwise, the iteration number a is increased by 1, and the step S33 is returned;
s311: and outputting the optimal main circuit parameters (L, C).
5. The method for optimizing parameters of a Buck-Boost intermediate frequency inverter main circuit according to claim 2, wherein the step S50 is performed to obtain a fitting function relation between the optimal main circuit parameters of the three-phase interleaved parallel Buck-Boost intermediate frequency inverter circuit and the rated output frequency thereof, including an optimal main circuit capacitor C and the rated output frequency f e The relation between the two formulas is:
wherein: c (f) e ) As the optimal main circuit capacitance function, p 0 、p 1 、p 2 、p 3 、p 4 、p 5 、p 6 、p 7 、p 8 、w C Constant coefficients in the corresponding functional relation;
and optimal main circuit inductance L and rated output frequency f e The functional relation between them is:
wherein: l (f) e ) Inductance function for optimal main circuitNumber, r 0 、r 1 、r 2 、r 3 、r 4 、r 5 、r 6 、r 7 、r 8 、w L Is a constant coefficient in the corresponding functional relation.
6. The method according to claim 1, wherein after the step S50, the following steps are further performed:
and comparing the optimal main circuit parameter, the deviation value delta u and the harmonic distortion THD which are calculated in an algorithm optimizing mode of the multi-objective optimization model with the optimal main circuit parameter, the deviation value delta u and the harmonic distortion THD which are calculated through a fitting function relation.
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