CN113688530B - Solving method of optimal power distribution scheme of ultrathin battery pack - Google Patents
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Abstract
A solving method of an ultra-thin battery pack electric quantity optimal matching scheme comprises the following steps: s1, deducing a calculation formula of the number m of the battery modules and the number n of the battery cells in a single battery module according to the structural characteristics of the battery pack; s2, representing the electric quantity of the battery pack by utilizing the total projection area E of the battery cell, and deducing a calculation formula of the total projection area E of the battery cell according to the structural characteristics of the battery pack as follows; s3, introducing a difference parameter delta 1 And delta 2 Calculating the difference between the number of battery modules m and the number of electric cores n before and after rounding, and adjusting the parameter [ P ] W ,S L ,P d3 ,P d4 ,P d5 ,M d2 ,C W ]And [ P ] L ,S W ,P d1 ,P d2 ,M T ,M d1 ,M d3 ,M d4 ,C T ]So that the difference parameter delta 1 And delta 2 All are zero, thus preliminarily obtaining an electric quantity matching scheme matrix V P =[m,n,C W ,C T ]. The invention can effectively utilize the boundary space of the battery box body, maximize the total electric quantity of the battery pack, and has the advantages of simple algorithm, strong universality and the like.
Description
Technical Field
The invention relates to the technical field of vehicles, in particular to a solving method of an optimal power distribution scheme of an ultrathin battery pack.
Background
Along with the rapid development of new energy, the power battery is rapidly developed, the square aluminum shell battery core is widely applied to power batteries of passenger vehicles and commercial vehicles, the evolution from the electricity conversion of the oil of the new energy pure electric vehicle to the pure electric platform is experienced, and the integration mode of a battery system scheme is standardized.
The inside part such as module end plate, module curb plate, module upper cover, BMS, battery upper and lower box in addition to the electric core of current battery package, part kind and quantity are more, and are mostly irregular design, have taken many variables for the arrangement scheme evaluation of battery, want to find a more suitable battery arrangement scheme more difficult fast. Therefore, the solving method of the ultra-thin battery pack electric quantity optimal matching scheme is simple in algorithm and high in universality.
Disclosure of Invention
The invention provides a solving method of an optimal power distribution scheme of an ultrathin battery pack, and mainly aims to solve the problems existing in the prior art.
The invention adopts the following technical scheme:
the battery pack comprises a battery box body and a plurality of battery modules which are longitudinally arranged in the battery box body, wherein each battery module is transversely provided with a plurality of battery cores, and the front end and the rear end of each battery module are respectively provided with an end plate for fixing the battery cores; the solving method comprises the following steps:
s1, deducing calculation formulas (1) and (2) of the number m of the battery modules and the number n of the electric cores in the single battery module according to the structural characteristics of the battery pack:
(1)
(2)
wherein: p (P) L The length of the battery box body is the length; p (P) W The width of the battery box body is the width; s is S L The width of the sealing gasket in the length direction of the battery box body is the width of the sealing gasket in the length direction of the battery box body; s is S w The width of the sealing gasket in the width direction of the battery box body; c (C) w The width of the battery cell; c (C) T The thickness of the battery cell is; m is M T Is the thickness of the end plate; p (P) d1 Is the distance between the front end of the inner side of the battery box body and the front end of the outer side of the battery module; p (P) d2 Is the distance between the inner rear end of the battery box body and the outer rear end of the battery module; p (P) d3 The distance between the left side and the leftmost battery module in the battery box body; p (P) d4 The distance between the right side and the rightmost battery module in the battery box body; p (P) d5 Is the distance between two adjacent battery modules; m is M d1 The required installation space distance for the end plate; m is M d2 Is the distance between the outer side surface of the battery cell and the inner side surface of the battery module; m is M d3 The distance between the end plate and the front end or the rear end battery cell; m is M d4 Is the distance between two adjacent electric cores;
s2, the electric quantity of the battery pack is represented by utilizing the total projection area E of the battery cell, and a calculation formula of the total projection area E of the battery cell is deduced according to the structural characteristics of the battery pack, wherein the calculation formula is as follows:
(3);
s3, introducing a difference parameter delta 1 And delta 2 Calculating the difference between the number of battery modules m and the number of electric cores n before and after rounding, and adjusting the parameter [ P ] W ,S L ,P d3 ,P d4 ,P d5 ,M d2 ,C W ]And [ P ] L ,S W ,P d1 ,P d2 ,M T ,M d1 ,M d3 ,M d4 ,C T ]So that the difference parameter delta 1 And delta 2 All are zero, thus preliminarily obtaining an electric quantity matching scheme matrix V P =[m,n,C W ,C T ]:
(4)
(5)。
Further, in step S2, in combination with formulas (1) to (3), according to the nature of the rounding function, it is known that, when C W And C T The larger the cell total projected area E is, the larger.
Still further, the method further comprises the following steps: s4, obtaining an electric quantity matching scheme matrix V in the preliminary P C is selected out W And C T The scheme when taking the maximum value is used as the optimal power distribution scheme V Pmax =[m max ,n max ,C Wmax ,C Tmax ]。
Furthermore, the related performance parameters and the safety parameters of the battery pack are comprehensively considered, and then an optimal power distribution scheme V is selected Pmax =[m max ,n max ,C Wmax ,C Tmax ]。
Further, in step S3, as can be seen from the definition of the rounding function, for any of,/>Thus when the difference parameter delta 1 And delta 2 The smaller the battery case, the less space is wasted, and when delta 1 And delta 2 When the total projection area E of the battery cell is zero, the space of the battery box body is maximized and fully utilized, so that the value of the total projection area E of the battery cell tends to be maximum.
Further, in step (1), the width P of the battery case is first deduced according to the structural characteristics of the battery pack W Calculation formula (1.1) of (2) and battery module width M w And (2) and (1.1) and (1.2) are combined to derive a calculation formula (1) of the number m of the battery modules:
(1.1)
(1.2)
in the step (1), the length P of the battery box is firstly deduced according to the structural characteristics of the battery pack L Calculation formula (2.1) of (2) and battery module length M L In the calculation formula (2.2) of the number n of the electric cells in the single battery module is deduced by combining the calculation formulas (2.1) and (2.2):
(2.1)
(2.2)。
compared with the prior art, the invention has the beneficial effects that:
the invention provides a solving method capable of rapidly acquiring an optimal power distribution scheme of a battery pack, which comprehensively considers the structural characteristics of the battery pack and the installation characteristics of battery cells, can effectively utilize the boundary space of a battery box body, maximizes the total power of the battery pack, standardizes the arrangement and integration mode of the battery pack, is beneficial to the development and the development of the platform battery pack, and has the advantages of simple algorithm, strong universality and the like.
Drawings
Fig. 1 is a schematic view of a battery pack according to the present invention.
Fig. 2 is a schematic structural view of a battery module according to the present invention.
Fig. 3 is an enlarged schematic view of a portion a in fig. 1.
Fig. 4 is an enlarged schematic view of a portion B in fig. 1.
Fig. 5 is a schematic flow chart of the algorithm of the present invention.
Detailed Description
Specific embodiments of the present invention will be described below with reference to the accompanying drawings. Numerous details are set forth in the following description in order to provide a thorough understanding of the present invention, but it will be apparent to one skilled in the art that the present invention may be practiced without these details.
Referring to fig. 1 to 4, the invention provides a solution method of an optimal power distribution scheme for an ultrathin battery pack, wherein the battery pack comprises a battery box 1 and a plurality of battery modules 2 arranged in the battery box 1 in a longitudinal arrangement manner, each battery module 2 is transversely provided with a plurality of battery cells 21, and both front and rear ends of each battery module 2 are provided with end plates 22 for fixing the battery cells 21. Specifically, the peripheral edges of the battery case 1 are provided with sealing gaskets 11. The solving method comprises the following steps:
s1, deducing a calculation formula of the number m of the battery modules and the number n of the battery cells in the single battery module according to the structural characteristics of the battery pack.
S11, deducing the width P of the battery box body according to the structural characteristics of the battery pack W Calculation formula (1.1) of (2) and battery module width M w The calculation formula (1) of the number m of the battery modules can be deduced by combining the calculation formulas (1.2), the simultaneous calculation formulas (1.1) and (1.2) and rounding down by combining the properties of the rounding function:
(1.1)
(1.2)
(1)。
s12, deducing the length P of the battery box body according to the structural characteristics of the battery pack L Calculation formula (2.1) of (2) and battery module length M L The calculation formula (2.2) of (2.1) and (2.2) are combined and the property of the rounding function is combined to carry out downward rounding derivationAnd (3) calculating a calculation formula (2) of the number n of the battery cells in the single battery module:
(2.1)
(2.2)
(2)。
specifically, in the above calculation formulas:
P L for the length of the battery box body, P W For the width of the battery box body, P L And P W The length-width boundary of the battery pack is determined.
S L The width of the sealing gasket in the length direction of the battery box body is the width of the sealing gasket in the length direction of the battery box body; s is S w Is the width of the gasket in the width direction of the battery box body, and is usually S w =S L 。
C w The width of the battery cell; c (C) T Is the thickness of the battery cell.
M T Is the thickness of the end plate.
P d1 Is the distance between the front end of the inner side of the battery box body and the front end of the outer side of the battery module; p (P) d2 Is the distance between the inner rear end of the battery box body and the outer rear end of the battery module; p (P) d3 The distance between the right side and the rightmost battery module in the battery box body; p (P) d4 The distance between the left side and the leftmost battery module in the battery box body; p (P) d1 、P d2 、P d3 And P d4 The corresponding space is used for installing parts such as a battery management system, copper bars, wiring harnesses, a power distribution module, a thermal runaway detector and the like, and enough installation clearance is required to be ensured during design.
P d5 The space is used for installing parts such as copper bars, wire harnesses and the like for the distance between two adjacent battery modules.
M d1 The end plate is required to be installed with a spaceThe distance between the two parts is used for installing materials or parts such as steel belts, rivets, ties and the like.
M d2 The space is provided with materials or parts such as heating, insulation, binding belts and the like for the distance between the outer side surface of the battery cell and the inner side surface of the battery module.
M d3 The space is used for filling materials such as bonding, insulation, heat insulation and the like for the distance between the end plate and the front end or the rear end battery cell.
M d4 The space is used for filling materials such as bonding, heat insulation and the like for the distance between two adjacent battery cells.
S2, the electric quantity of the battery pack is represented by utilizing the total projection area E of the battery cell, and a calculation formula of the total projection area E of the battery cell is deduced according to the structural characteristics of the battery pack, wherein the calculation formula is as follows:
(3);
in theory, when the total projection area E of the battery cells is maximum, the electric quantity of the battery pack reaches the maximum, so that the optimal electric quantity matching scheme can be obtained by solving the maximum value of the total projection area E of the battery cells. By combining the formulas (1) to (3), according to the property of the rounding function, adopting a function derivation method to carry out reasoning and demonstration, when C W And C T The larger the cell total projected area E is, the larger. The specific reasoning process is as follows:
s21, the simultaneous formulas (1) to (3) can be obtained:
as can be seen from the above formula,and->And the maximum values of the two parts can be respectively obtained, so that the maximum value of the total projection area E of the battery cell is calculated.
And the nature of the rounding function is known:
for any one,/>。
Thus aim atMaximum value is found, which can be according to +.>The maximum value is obtained. For->Maximum value is obtained according to the followingThe maximum value is obtained.
S22, aboutConsidering the general layout design conditions of the outer boundary and the internal parts of the battery pack, P W 、S L 、P d3 、P d4 、P d5 、M d2 The adjustable space is smaller and can be regarded as constant term, C W Viewed as variables, composition is about C W Function of->The method comprises the following steps:
the derivative method is adopted to conduct the above-mentioned steps to obtain:
it is known from the analysis that, for any C W ,Constant is established, thus, it is known that +.>Is a monotonically increasing function, thus C W The bigger the->The larger.
S23, aboutConsidering the general arrangement design condition of the external boundary and internal parts of the battery pack, P L 、S W 、P d1 、P d2 、M T 、M d1 、M d3 、M d4 The adjustable space is smaller and can be regarded as constant term, C T Viewed as variables, composition is about C T Function of->The method comprises the following steps:
the derivative method is adopted to conduct the above-mentioned steps to obtain:
it is known from the analysis that, for any C T ,Constant is established, thus, it is known that +.>Is a monotonically increasing function, thus C T The bigger the->The larger
S24, summarizing reasoning, the width C of the cell w And cell thickness C T The larger the cell total projected area E is, the larger.
S3, introducing a difference parameter delta 1 And delta 2 Calculating the difference between the number of battery modules m and the number of electric cores n before and after rounding, and adjusting the parameter [ P ] W ,S L ,P d3 ,P d4 ,P d5 ,M d2 ,C W ]And [ P ] L ,S W ,P d1 ,P d2 ,M T ,M d1 ,M d3 ,M d4 ,C T ]So that the difference parameter delta 1 And delta 2 All are zero, thus preliminarily obtaining an electric quantity matching scheme matrix V P =[m,n,C W ,C T ]:
(4)
(5)。
Specifically, as can be seen from the definition of the rounding function, for any of,/>Thus when the difference parameter delta 1 And delta 2 Smaller this means less space is wasted in the battery case, and when delta 1 And delta 2 When the total projection area E of the battery cell is zero, the space of the battery box body is maximized and fully utilized, so that the value of the total projection area E of the battery cell tends to be maximum.
S4, distributing the electric quantity obtained initiallyGroup plan matrix V P C is selected out W And C T The scheme when taking the maximum value is used as the optimal power distribution scheme V Pmax =[m max ,n max ,C Wmax ,C Tmax ]. Meanwhile, the related performance parameters and the safety parameters of the battery pack can be comprehensively considered, and then an electric quantity optimal allocation scheme V is selected Pmax =[m max ,n max ,C Wmax ,C Tmax ]。
Referring to fig. 5, the above calculation process is designed into an algorithm mode, and when the optimal power distribution scheme is solved, the calculation can be automatically operated and solved by a computer only by inputting the required battery pack parameters according to prompts, so that the operation is simple and convenient, and the universality is strong.
The foregoing is merely illustrative of specific embodiments of the present invention, but the design concept of the present invention is not limited thereto, and any insubstantial modification of the present invention by using the design concept shall fall within the scope of the present invention.
Claims (5)
1. A solving method of an ultra-thin battery pack electric quantity optimal matching scheme is characterized by comprising the following steps of: the battery pack comprises a battery box body and a plurality of battery modules which are longitudinally arranged in the battery box body, wherein a plurality of battery cores are transversely arranged in each battery module, and end plates for fixing the battery cores are arranged at the front end and the rear end of each battery module; the solving method comprises the following steps:
s1, deducing calculation formulas (1) and (2) of the number m of the battery modules and the number n of the electric cores in the single battery module according to the structural characteristics of the battery pack:
wherein: p (P) L The length of the battery box body is the length; p (P) W The width of the battery box body is the width; s is S L The width of the sealing gasket in the length direction of the battery box body is the width of the sealing gasket in the length direction of the battery box body; s is S w The width of the sealing gasket in the width direction of the battery box body; c (C) w The width of the battery cell; c (C) T The thickness of the battery cell is; m is M T Is the thickness of the end plate; p (P) d1 Is the distance between the front end of the inner side of the battery box body and the front end of the outer side of the battery module; p (P) d2 Is the distance between the inner rear end of the battery box body and the outer rear end of the battery module; p (P) d3 The distance between the right side and the rightmost battery module in the battery box body; p (P) d4 The distance between the left side and the leftmost battery module in the battery box body; p (P) d5 Is the distance between two adjacent battery modules; m is M d1 The required installation space distance for the end plate; m is M d2 Is the distance between the outer side surface of the battery cell and the inner side surface of the battery module; m is M d3 The distance between the end plate and the front end or the rear end battery cell; m is M d4 Is the distance between two adjacent electric cores;
s2, the electric quantity of the battery pack is represented by utilizing the total projection area E of the battery cell, and a calculation formula of the total projection area E of the battery cell is deduced according to the structural characteristics of the battery pack, wherein the calculation formula is as follows:
E=mnC W C T (3);
s3, introducing a difference parameter delta 1 And delta 2 Calculating the difference between the number of battery modules m and the number of electric cores n before and after rounding, and adjusting the parameter [ P ] W ,S L ,P d3 ,P d4 ,P d5 ,M d2 ,C W ]And
[P L ,S W ,P d1 ,P d2 ,M T ,M d1 ,M d3 ,M d4 ,C T ]so that the difference parameter delta 1 And delta 2 All are zero, thus preliminarily obtaining an electric quantity matching scheme matrix V P =[m,n,C W ,C T ]:
In step (1), the width P of the battery box is firstly deduced according to the structural characteristics of the battery pack W Calculation formula (1.1) of (2) and battery module width M w And (2) and (1.1) and (1.2) are combined to derive a calculation formula (1) of the number m of the battery modules:
P W =2S L +P d3 +P d4 +mM W +(m-1)P d5 (1.1)
M W =C W +2M d2 (1.2)
in the step (1), the length P of the battery box is firstly deduced according to the structural characteristics of the battery pack L Calculation formula (2.1) of (2) and battery module length M L In the calculation formula (2.2) of the number n of the electric cells in the single battery module is deduced by combining the calculation formulas (2.1) and (2.2):
P L =P d1 +M L +2S W +P d2 (2.1)
M L =2M d1 +2M T +2M d3 +nC T +(n-1)M d4 (2.2)。
2. the method for solving the optimal power distribution scheme of the ultra-thin battery pack according to claim 1, wherein the method comprises the following steps: in step S2, in combination with formulas (1) to (3), according to the properties of the rounding function, the reasoning and argumentation are performed by using the function derivative method, when C W And C T The larger the cell total projected area E is, the larger.
3. The method for solving the optimal power distribution scheme of the ultra-thin battery pack according to claim 2, wherein the method comprises the following steps: the method also comprises the following steps: s4, obtaining an electric quantity matching scheme matrix V in the preliminary P
C is selected out W And C T Taking the scheme of maximum value as the optimal power distribution scheme
V Pmax =[m max ,n max ,C Wmax ,C Tmax ]。
4. The method for solving the optimal power distribution scheme of the ultra-thin battery pack according to claim 3, wherein the method comprises the following steps: the related performance parameters and the safety parameters of the battery pack are comprehensively considered, and then an optimal electric quantity matching scheme V is selected Pmax =[m max ,n max ,C Wmax ,C Tmax ]。
5. The method for solving the optimal power distribution scheme of the ultra-thin battery pack according to claim 1, wherein the method comprises the following steps: in step S3, it is known from the definition of the rounding function that, for any x e R,
thus when the difference parameter delta 1 And delta 2 The smaller the battery case, the less space is wasted, and when delta 1 And delta 2 When the total projection area E of the battery cell is zero, the space of the battery box body is maximized and fully utilized, so that the value of the total projection area E of the battery cell tends to be maximum.
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