CN109088470B - Battery-super capacitor hybrid energy storage independent photovoltaic system optimization control method - Google Patents
Battery-super capacitor hybrid energy storage independent photovoltaic system optimization control method 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
- H02J7/00—Circuit arrangements for charging or depolarising batteries or for supplying loads from batteries
- H02J7/34—Parallel operation in networks using both storage and other dc sources, e.g. providing buffering
- H02J7/345—Parallel operation in networks using both storage and other dc sources, e.g. providing buffering using capacitors as storage or buffering devices
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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
- H02J7/00—Circuit arrangements for charging or depolarising batteries or for supplying loads from batteries
- H02J7/34—Parallel operation in networks using both storage and other dc sources, e.g. providing buffering
- H02J7/35—Parallel operation in networks using both storage and other dc sources, e.g. providing buffering with light sensitive cells
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/50—Photovoltaic [PV] energy
- Y02E10/56—Power conversion systems, e.g. maximum power point trackers
Abstract
The invention discloses an optimization control method for a hybrid energy storage independent photovoltaic system with a battery and a super capacitor. The method comprises the following steps: 1. establishing a battery-super capacitor-based hybrid energy storage independent photovoltaic system model; 2. reducing dynamic stress of the battery by using a moving average filter; 3. introducing power allocation algorithm, using two thresholdsAndcontrolling the charging and discharging of the super capacitor; 4. optimizing power distribution algorithm parameters based on power demand and the charge state of the super capacitor in a short time by utilizing a self-organizing map and particle swarm combined algorithm; 5. and carrying out charge and discharge protection on the super capacitor. The invention provides higher flexibility for the battery-super capacitor energy storage system by introducing the charging threshold and the discharging threshold. The optimization method comprises the steps of optimizing power distribution algorithm parameters based on the predicted power demand and the charge state of the super capacitor by self-organizing mapping and a particle swarm algorithm, and relieving the peak demand and the transient charge-discharge cycle of the battery.
Description
The technical field is as follows:
the invention belongs to the technical field of solar photovoltaic control, and particularly relates to an optimal control method for a hybrid energy storage independent photovoltaic system with a battery and a super capacitor.
Background art:
the battery-super capacitor hybrid energy storage system scheme is an effective method in a photovoltaic power generation system, the size and the stress level of a battery can be greatly reduced, and the total investment cost of an independent photovoltaic system is reduced. The control strategy is essentially an algorithm that determines and controls the operation of the battery-supercapacitor HESS based on the state of the system. Optimal control strategies can significantly improve the performance and economic viability of the overall system.
The invention content is as follows:
the invention provides a novel optimization control method for an independent photovoltaic system with a battery-super capacitor HESS. Unlike conventional rule-based controllers and fuzzy logic controllers, the present invention proposes a power distribution algorithm that proposes two thresholds, namely a charge threshold and a discharge threshold (T)cAnd Td) Flexible operation is provided for the battery-supercapacitor HESS, where the HESS can be charged and discharged without limitation. In addition, a new optimization method is proposed, including self-organizing map (SOM) and Particle Swarm Optimization (PSO) to optimize TcAnd Td. The idea of the method is to use the SOM to narrow the search space of the PSO to speed up the optimization process of the PSO. With this approach, the control strategy can be based on the predicted power demand and state of charge SOC of the supercapacitorSCOptimization was performed every minute.
In order to reduce the battery dynamic stress and peak power requirements in the battery-super capacitor HESS independent photovoltaic system, the battery-super capacitor HESS operates in the optimal state, and the technical scheme of the invention is as follows:
an optimization control method for a hybrid energy storage independent photovoltaic system with a battery-super capacitor comprises the following steps:
step 1, establishing a battery-super capacitor-based hybrid energy storage independent photovoltaic system model;
step 2, reducing the dynamic stress of the battery by using a moving average filter;
step 3, introducing a power distribution algorithm, and using two threshold values T respectively representing chargingcAnd threshold value T of dischargedControlling the charging and discharging of the super capacitor;
step 4, optimizing power distribution algorithm parameters based on power demand and super capacitor charge state in a short time by using a self-organizing map and particle swarm combined algorithm;
and 5, performing charge and discharge protection on the super capacitor.
The battery-super capacitor hybrid energy storage independent photovoltaic system model in the step 1 comprises a photovoltaic array, a load, a charge controller and a hybrid energy storage system HESS; the HESS comprises a battery, a super capacitor and a bidirectional direct current converter, and the self-organizing mapping is combined with a particle swarm algorithm to carry out threshold TcAnd TdAnd (6) optimizing.
The dynamic power model of the independent photovoltaic system is represented by the following formula:
PPV-Pbatt-PSC′-Pload=0 (1)
wherein P isPVOutput power for a photovoltaic array; pbattFor battery flow power, PSC‘Refers to the power, P, of the super capacitor after power conversionloadIs the load demand power; the relationship between the power deficit dP between the photovoltaic array power and the load and the sum of the super-capacitor and battery power is obtained by converting the following equation:
dP=PPV-Pload=Pbatt+PSC’ (2)
in the step 2, a filter controller-based moving average filter is used to eliminate the fast transient power in the battery demand, so as to prevent the battery from providing the high-frequency power demand in the hybrid energy storage system HESS; wherein, the dP low frequency power in the hybrid energy storage system HESS is represented as:
wherein T issIs the mobile sampling time, with low frequency power, the high frequency power requirement is expressed as:
dPHF=dP-dPLF (4)
the power distribution algorithm in the step 3 provides higher flexibility for the hybrid energy storage system HESS of the battery-super capacitor by allowing the super capacitor to be charged and discharged under any condition; the input to the proposed power allocation algorithm is dPLFAnd state of charge SOC of super capacitorSCThe output is the reference power P of the super capacitorSCPDA(ii) a Introduction of TcAnd TdTwo thresholds control the charging and discharging operations of the supercapacitor, only one threshold being active at a time; t iscIs always greater than Td(ii) a Super capacitor at dPLF<Provide power to the system at 0 and at dPLF>And (3) charging at 0, and outputting the reference power of the super capacitor according to the following three different conditions:
(1)dPLF>Tc,PSC PDA=dPLF-Tc
(2)dPLF<Td,PSC PDA=dPLF-Td
(3)Tc>dPLF>Td,PSC PDA=dPLF。
the self-organizing map and the particle swarm algorithm in the step 4 are ranges T for providing an optimization scheme for the particle swarm algorithm by introducing the self-organizing mapc' and Td′,Tc' and Td' represents threshold ranges for charging and discharging, respectively, after self-organizing map training, such that the initial population of particles is at Tc' and Td' initialization in; in a self-organizing map neural network, by using multiple one-hour dP's in the system over a period of timeLFTo train the self-organizing map; self-organizing mapping high-order input signal dPLF predictionConverting into two-dimensional discrete mapping with input vector defined as ViN represents time, SOM is composed of two-dimensional neuron array M ═ M1,m2,…,mQWhere Q is the total number of neurons arranged in a hexagonal network topology, the weight vector m of the neuronsi=[mi1,…,min]The self-organizing mapping neural network training comprises the following steps:
6.1. initializing weight vectors, initializing miE, taking M as a random value before the training of the SOM;
6.2. random selection of input vector V from input spacei;
6.3. Finding out dominant neuron mcIn the process of searching for dominant neurons, m is obtained by applying the following formulaiAnd ViThe shortest euclidean distance between them, i.e. mc=argmin||Vi-mi||mi∈M
6.4. Updating weight vectors of all neurons near the winning neuron;
6.5. repeating steps 6.2-6.4 for each input vector;
6.6. updating the learning rate and the neighborhood range;
6.7. and 6.2-6.6 are repeated until the learning rate is attenuated to 0, and the training of the two-dimensional SOM neural network is completed.
T after self-organizing mapping training and particle swarm optimizationcAnd TdApplies two fitness functions f1() And f2() To evaluate its fitness, the fitness function is as follows:
wherein P isbatt_maxAnd Pbatt_minRefer to the maximum and minimum points of battery power, respectively, for different dPLF predictionThe case takes different optimization schemes. When P is presentPV>PloadWhen is, dPLF predictionWhen the maximum value and the minimum value are both greater than 0, T is not required to be powered by the batterydSet to 0 to prevent the battery from switching from a charged to a discharged state, SOM-PSO using f only1(x) For TcOptimizing; when P is presentPV<PloadWhen is, dPLF predictionWhen the maximum value of f is positive and negative, the HESS supplies power to the system by using f2(x) To TcAnd TdAnd (6) optimizing.
After optimizing the threshold of the power distribution algorithm, the reference power P of the super capacitor obtained by the power distribution algorithmSC PDAWith high frequency component dPHFThe sum is given to PSC ref′In the introduction of PSC ref′Before sending to the controller of the bidirectional DC converter, performing overcharge/discharge protection to prevent the super capacitor from exceeding a specified working voltage range; SOC of super capacitorSCThe working range is regulated to be between 25% and 100%, a multiplier beta is introduced to realize overcharge/discharge protection, beta is 1 or 0, and the specific values of beta are as follows:
the final input to the controller of the bi-directional dc converter is determined by the following equation:
PSC ref=β*PSC ref′ (7)。
the invention has the beneficial effects that:
the invention provides higher flexibility for the battery-super capacitor energy storage system by introducing the charging threshold and the discharging threshold. The optimization method comprises the steps of optimizing power distribution algorithm parameters based on the predicted power demand and the charge state of the super capacitor by self-organizing mapping and a particle swarm algorithm, and relieving the peak demand and the transient charge-discharge cycle of the battery. The proposed optimization method enables faster convergence than conventional optimization methods.
Description of the drawings:
FIG. 1 is a diagram of a battery-supercapacitor based HESS standalone photovoltaic system;
FIG. 2 is a diagram of a proposed control strategy architecture;
fig. 3 is a flow chart for the proposed threshold optimization.
The specific implementation mode is as follows:
the invention is further described with reference to the following drawings and detailed description:
an optimization control method for a hybrid energy storage independent photovoltaic system with a battery-super capacitor comprises the following steps:
step 1, establishing a battery-super capacitor-based hybrid energy storage independent photovoltaic system model;
step 2, reducing the dynamic stress of the battery by using a moving average filter;
step 3, introducing a power distribution algorithm, and using two threshold values T respectively representing chargingcAnd threshold value T of dischargedControlling the charging and discharging of the super capacitor;
step 4, optimizing power distribution algorithm parameters based on power demand and super capacitor charge state in a short time by using a self-organizing map and particle swarm combined algorithm;
and 5, performing charge and discharge protection on the super capacitor.
As shown in fig. 1, the battery-super capacitor hybrid energy storage independent photovoltaic system model in step 1 includes a photovoltaic array, a load, a charge controller, and a hybrid energy storage system HESS; the HESS comprises a battery, a super capacitor and a bidirectional direct current converter, and the self-organizing mapping is combined with a particle swarm algorithm to carry out threshold TcAnd TdAnd (6) optimizing.
The dynamic power model of the independent photovoltaic system is represented by the following formula:
PPV-Pb-PSC′-Pload=0 (1)
wherein P isPVOutput power for a photovoltaic array; pbattFor battery flow power, PSC‘Refers to the power, P, of the super capacitor after power conversionloadIs the load demand power; the relationship between the power deficit dP between the photovoltaic array power and the load and the sum of the super-capacitor and battery power is obtained by converting the following equation:
dP=PPV-Pload=Pbatt+PSC’ (2)
in the step 2, a filter controller-based moving average filter is used to eliminate the fast transient power in the battery demand, so as to prevent the battery from providing the high-frequency power demand in the hybrid energy storage system HESS; wherein, the dP low frequency power in the hybrid energy storage system HESS is represented as:
wherein T issIs the mobile sampling time, with low frequency power, the high frequency power requirement is expressed as:
dPOF=dP-dPLF (4)
the power allocation algorithm in step 3 above provides higher flexibility for the hybrid energy storage system HESS of the battery-super capacitor by allowing the super capacitor to charge and discharge under any condition, as shown in fig. 2; the input to the proposed power allocation algorithm is dPLFAnd state of charge SOC of super capacitorSThe output is the reference power P of the super capacitorSCPDA(ii) a Introduction of TcAnd TdTwo thresholds control the charging and discharging operations of the supercapacitor, only one threshold being active at a time; t iscIs always greater than Td(ii) a Super capacitor at dPLF<Provide power to the system at 0 and at dPLF>And (3) charging at 0, and outputting the reference power of the super capacitor according to the following three different conditions:
(1)dPLF>Tc,PSC PDA=dPLF-Rc
(2)dPLF<Td,PSC PDA=dPLF-Td
(3)Tc>dPLF>Td,PSC PDA=dPLF。
the self-organizing map and the particle swarm algorithm in the step 4 are ranges T for providing an optimization scheme for the particle swarm algorithm by introducing the self-organizing mapc' and Td′,Tc' and Td' represents threshold ranges for charging and discharging, respectively, after self-organizing map training, such that the initial population of particles is at Tc' and Td' initialization in; in a self-organizing map neural network, by using multiple one-hour dP's in the system over a period of timeLFTo train the self-organizing map; self-organizing mapping high-order input signal dPLF predictionConverting into two-dimensional discrete mapping with input vector defined as ViN represents time, SOM is composed of two-dimensional neuron array M ═ M1,m2,…,mQWhere Q is the total number of neurons arranged in a hexagonal network topology, the weight vector m of the neuronsi=[mi1,…,min]The self-organizing mapping neural network training comprises the following steps:
6.1. initializing weight vectors, initializing miE, taking M as a random value before the training of the SOM;
6.2. random selection of input vector V from input spacei;
6.3. Finding out dominant neuron mcIn the process of searching for dominant neurons, m is obtained by applying the following formulaiAnd ViThe shortest euclidean distance between them, i.e. mc=argmin||Vi-mi||mi∈M
6.4. Updating weight vectors of all neurons near the winning neuron;
find out the dominant neuron mcIts neighborhood is then determined by the following equation, where the area of the neighborhood shrinks with time by the decay function:
wherein σ0Is represented at time t0The field size of time, μ represents the time constant, and t represents the current time step. In determining mcAfter the neighborhood area, m in the area is updated using the following equationi:
mi(t+1)=mi(t)+θ(t)L(t)(Vi(t)-mi(t)) (6)
Wherein, L (t) and Vi(t) are the learning rate and the input vector at time t, respectively. In fact, the learning effect should be consistent with the selected miAnd mcAnd therefore the learning rate influence at time t, θ (t), is also included, which can be calculated using the following formula:
θ (t) decays over time based on a Gaussian decay function.
6.5. At update miThen repeating steps 6.2-6.4 for each input vector;
6.6. updating the learning rate and the neighborhood range using equations (5) and (7) above;
6.7. and 6.2-6.6 are repeated until the learning rate is attenuated to 0, and the training of the two-dimensional SOM neural network is completed. Each M in the set MiIndicating a dP that is not tagged with a responseLF,SOCSCIn the range of 25% -100%. The SOM is constructed based on a hexagonal network topology, with each master neuron correlated with six other neurons. dP to be predictedLFAnd SOCSCInput to a pre-trained SOM, a set of neighboring neurons including a main neuron is denoted as { s0,…,s6For a given SOCSCT in the rangecAnd TdCan be represented as TcK={Tc-S0…Tc-S6And TdK={Td-s0…Td-S6Get the training result T'c=[max(Tck),min(TcK)]T′d=[max(Tdk),min(Tdk)]。
T after self-organizing mapping training and particle swarm optimizationcAnd TdApplies two fitness functions f1(x) And f2(x) To evaluate its fitness, the fitness function is as follows:
as shown in fig. 3, different optimization methods are adopted for three different situations. For case 1, dPLFIs positive, i.e. PPV>PloadNo battery power is required. Will TdSet to 0 to prevent the battery from switching from a charged state to a discharged state to prevent an unpredictable sudden drop in photovoltaic array output power or sudden peak load demand that could cause dPLFShort term is negative. And when SOC isSCAt low time, TcSet to a smaller value to let the supercapacitor distribute more charging power, on the other hand, when the SOC isSCAt a high time, TcSet to a larger value. In this case, only f is used1(x) Optimizing TcSo that P isbatt_max>The case of 0W is minimized to minimize the battery peak charging power.
Second case, dPLFIs negative, i.e. Pload>PPVAt that time, the HESS supplies power to the system. When SOC is reachedSCAt a high time, TdPut at 0W to prevent short charge-discharge cycles while TdPut at 0W to provide load demand. When SOC is reachedSCAt lower time, TcAt a lower value, TdSet to the same value. T isdIs to limit/adjust Pbatt_minThreshold value of (1), TcIs used to reduce the peak load of the battery. The SOM-PSO method now uses f2(x) To perform the optimization. In some cases, TcNot necessarily the minimization of the peak load of the battery, and at this time, whether T needs to be evaluated according to the fitnesscOptimizing when T is not matchedcOptimization with varying fitness means that T is requiredcTo minimize battery peak load and use f1(x) Optimizing the same; on the contrary, only need to be rightTdOptimization is carried out, at this time TcSet to 0W to prevent short charge-discharge cycles of the battery.
Third case, dPLFThe values of (A) have positive and negative values, and the optimization method using the SOM-PSO is similar to that of case 2. T iscAnd TdUsing f simultaneously2(x) And (6) optimizing.
Finally, after optimizing the threshold of the power distribution algorithm, the reference power P of the super capacitor obtained by the power distribution algorithmSC PDAWith high frequency component dPHFThe sum is given to PSC ref′In the introduction of PSC ref′Before being sent to the controller of the bidirectional DC-DC converter, the super capacitor is prevented from exceeding a specified working voltage range by implementing over-charge/discharge protection. SOC of super capacitor in the inventionSCThe working range is regulated to be between 25% and 100%, a multiplier beta is introduced to realize overcharge/discharge protection, beta is 1 or 0, and the specific values of beta are as follows:
the final input to the controller of the bi-directional dc converter is determined by the following equation:
PSC ref=β*PSC ref′ (10)。
Claims (4)
1. a battery-super capacitor hybrid energy storage independent photovoltaic system optimization control method is characterized by comprising the following steps:
step 1, establishing a battery-super capacitor-based hybrid energy storage independent photovoltaic system model;
the dynamic power model of the independent photovoltaic system is represented by the following equation:
PPV-Pbatt-PSC′-Pload=0 (1)
wherein P isPVOutput power for a photovoltaic array; pbattFor battery flow power, PSC‘Is through a power supplyConverted power of super capacitor, PloadIs the load demand power; the relationship between the power difference dP between the photovoltaic array power and the load and the sum of the super-capacitor and battery power is obtained by converting the following equation:
dP=PPV-Pload=Pbatt+PSC’ (2)
step 2, reducing the dynamic stress of the battery by using a moving average filter;
using a filter controller based moving average filter to eliminate fast transient power in battery demand, preventing the battery from providing high frequency power demand in the hybrid energy storage system HESS; wherein, the dP low frequency power in the hybrid energy storage system HESS is represented as:
wherein T issIs the mobile sampling time, with low frequency power, the high frequency power requirement is expressed as:
dPHF=dP-dPLF (4)
step 3, introducing a power distribution algorithm, and using two threshold values T respectively representing chargingcAnd threshold value T of dischargedControlling the charging and discharging of the super capacitor;
the power distribution algorithm, by allowing the super capacitor to charge and discharge under any condition, has the input dPLFAnd state of charge SOC of super capacitorSCThe output is the reference power P of the super capacitorSC PDA(ii) a Introduction of TcAnd TdTwo thresholds control the charging and discharging operations of the supercapacitor, only one threshold being active at a time; t iscIs always greater than Td(ii) a Super capacitor at dPLF<Provide power to the system at 0 and at dPLF>And (3) charging at 0, and outputting the reference power of the super capacitor according to the following three different conditions:
(1)dPLF>Tc,PSC PDA=dPLF-Tc
(2)dPLF<Td,PSC PDA=dPLF-Td
(3)Tc>dPLF>Td,PSC PDA=dPLF
step 4, optimizing power distribution algorithm parameters based on power demand and super capacitor charge state in a short time by using a self-organizing map and particle swarm combined algorithm;
the self-organizing map and the particle swarm optimization algorithm are a range T which is used for providing an optimization scheme for the particle swarm optimization algorithm by introducing the self-organizing mapc' and Td′,Tc' and Td' represents threshold ranges for charging and discharging, respectively, after self-organizing map training, such that the initial population of particles is at Tc' and Td' initialization in; in a self-organizing map neural network, by using multiple one-hour dP's in the system over a period of timeLFTo train the self-organizing map; self-organizing mapping high-order input signal dPLF predictionConverting into two-dimensional discrete mapping with input vector defined as ViN represents time, and the self-organizing map is formed by a two-dimensional neuron array M ═ M1,m2,…,mQWhere Q is the total number of neurons arranged in a hexagonal network topology, the weight vector m of the neuronsi=[mi1,…,min]The self-organizing mapping neural network training comprises the following steps:
6.1. initializing weight vectors, initializing miE, taking the E M as a random value before training the self-organizing mapping;
6.2. random selection of input vector V from input spacei;
6.3. Finding out dominant neuron mcIn the process of searching for dominant neurons, m is obtained by applying the following formulaiAnd ViThe shortest euclidean distance between them, i.e. mc=argmin||Vi-mi||mi∈M
6.4. Updating weight vectors of all neurons near the winning neuron;
6.5. repeating steps 6.2-6.4 for each input vector;
6.6. updating the learning rate and the neighborhood range;
6.7. repeating the steps 6.2-6.6 until the learning rate is attenuated to 0, and finishing the training of the two-dimensional SOM neural network;
and 5, performing charge and discharge protection on the super capacitor.
2. The optimal control method of the battery-super capacitor hybrid energy storage independent photovoltaic system according to claim 1, characterized in that: the battery-super capacitor hybrid energy storage independent photovoltaic system model in the step 1 comprises a photovoltaic array, a load, a charge controller and a hybrid energy storage system HESS; the HESS comprises a battery, a super capacitor and a bidirectional direct current converter, and the self-organizing mapping is combined with a particle swarm algorithm to carry out threshold TcAnd TdAnd (6) optimizing.
3. The optimal control method of the battery-super capacitor hybrid energy storage independent photovoltaic system according to claim 1, characterized in that: t after self-organizing mapping training and particle swarm optimizationcAnd TdApplies two fitness functions f1(x) And f2(x) To evaluate its fitness, the fitness function is as follows:
wherein P isbatt_maxAndrefer to the maximum and minimum points of battery power, respectively, for different dPLF predictionThe case adopts different optimization schemes; when in usePPV>PloadWhen is, dPLF predictionWhen the maximum value and the minimum value are both greater than 0, T is not required to be powered by the batterydSet to 0 to prevent battery switching from charged to discharged state, self-organizing map-particle swarm algorithm with f only1(x) For TcOptimizing; when P is presentPV<PloadWhen is, dPLF predictionWhen the maximum value of f is positive and negative, the hybrid energy storage system HESS supplies power to the system by using f2(x) To TcAnd TdAnd (6) optimizing.
4. The optimal control method of the battery-super capacitor hybrid energy storage independent photovoltaic system according to claim 1, characterized in that: after optimizing the threshold of the power distribution algorithm, the reference power P of the super capacitor obtained by the power distribution algorithmSC PDAWith high frequency component dPHFThe sum is given to PSC ref′In the introduction of PSC ref′Before sending to the controller of the bidirectional DC converter, performing overcharge/discharge protection to prevent the super capacitor from exceeding a specified working voltage range; SOC of super capacitorSCThe working range is regulated to be between 25% and 100%, a multiplier beta is introduced to realize overcharge/discharge protection, beta is 1 or 0, and the specific values of beta are as follows:
the final input to the controller of the bi-directional dc converter is determined by the following equation:
PSC ref=β*PSCref′ (7)。
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