Marine power system land supportability index quantitative calculation design method

Abstract

The invention discloses a marine power system land supportability index quantitative calculation design method, which comprises the following steps: step 1, determining and integrating spare part types and basic data, and preliminarily setting a spare part number configuration scheme; 2, setting a spare part configuration scheme and calculating a satisfaction rate and a utilization rate; and step 3, performing iterative updating on the spare part scheme according to a calculation result to form a spare part configuration scheme which simultaneously meets the index requirements of the satisfaction rate and the utilization rate. The method is applied to the supportability design of the marine power system, a set of effective supportability quantitative index optimization design method for the marine power system is formed, the supportability design level of the general quality characteristics of the marine power system in China is improved, and the successful implementation of the supportability design of the marine power system is practically guided.

Description

Technical Field

[0001] The present invention belongs to the field of general quality characteristics and comprehensive security of power systems, and specifically relates to a quantitative calculation and optimization design method for land security indicators of marine power systems. Background Art

[0002] Supportability, a universal quality characteristic, refers to the ability of equipment design features and planned support resources to meet both peacetime and wartime operational requirements. Its quantitative parameters, including spare parts fill rate and utilization rate, serve as quantitative indicators for measuring system supportability design. Currently, relevant standards and research papers only provide formulas for calculating the fill rate of individual spare parts. In the marine industry, there is no effective method for calculating system-level supportability quantitative indicators encompassing multiple spare parts. Therefore, quantitative design of system supportability is difficult. Summary of the Invention

[0003] To solve the above technical problems, the present invention provides a method for quantitative calculation and design of onshore supportability indicators of a marine power system. The system supportability design is optimized according to the quantitative calculation results, thereby forming a power system supportability spare parts configuration plan that meets the design requirements.

[0004] The object of the present invention is achieved through the following technical solution: a method for quantitative calculation and design of land supportability indicators of a marine power system, comprising the following steps:

[0005] Step 1: Determine the types and basic data of spare parts and integrate them, and preliminarily set the spare parts quantity configuration plan;

[0006] Step 2: Set up spare parts configuration plan and calculate satisfaction rate and utilization rate;

[0007] Step 3: Iteratively update the spare parts plan based on the calculation results to form a spare parts configuration plan that meets the requirements of both satisfaction rate and utilization rate.

[0008] Preferably, step 1 specifically includes the following steps:

[0009] Step 1.1: Collect the types and reliability λ of all onboard spare parts of the power system, the number of spare parts n in the equipment, and the accumulated operating time T;

[0010] Step 1.2: Integrate the same components of different devices and arrange them in descending order according to λnT;

[0011] Step 1.3: Set the number of spare parts s for each component. The larger the λnT, the larger the number of spare parts.

[0012] Preferably, step 2 specifically includes the following steps:

[0013] Step 2.1: Assume that there are n components in the system or equipment, and construct an expression for the probability of k failures of the component;

[0014] Step 2.2: Assume there are s spare parts in total. Calculate the probability that the number of failures of the part is no more than s. Assume there are M types of parts in the system or equipment. Calculate the satisfaction rate at the system or equipment level.

[0015] Step 2.3: Calculate the spare parts utilization rate using the expected value based on the probability of failure.

[0016] Step 2.4: Assume that the system or equipment has M types of components. Take the weighted average of the utilization rates of the M types of spare parts to obtain the total utilization rate at the system or equipment level.

[0017] Preferably, in step 2.1, the probability P(k) that n components have k failures within the cumulative operating time T is expressed by the following formula:

[0018]

[0019] Where λnT represents the inherent characteristic parameters of the current component.

[0020] Preferably, in step 2.2, the satisfaction rate P of the system or device level a Calculated by the following formula:

[0021]

[0022] Preferably, in step 2.3, the spare parts utilization rate P um Use the following formula to calculate:

[0023]

[0024] In step 2.4, the total utilization P at the system or device level u Calculated by the following formula:

[0025]

[0026] Where M represents the type of component.

[0027] Preferably, in step 2, Matlab is used to batch calculate the satisfaction rate and utilization rate of each component to obtain the total satisfaction rate and utilization rate of the system or equipment, specifically as follows: read the data, set the number of component types to be calculated, and for each component, perform the following process: obtain the inherent characteristic parameter λnT and the number of spare parts s of the current component, and then use the loop statement to calculate the satisfaction rate and utilization rate of the current component according to the above formula, output the satisfaction rate and utilization rate of the current component, and then calculate the next component.

[0028] Preferably, step 3 at least includes the following steps:

[0029] Step 3.1: Determine whether the satisfaction rate and utilization rate calculated in step 2 meet the design requirements. If so, generate and output a spare parts configuration plan.

[0030] Step 3.2: If the satisfaction rate and utilization rate calculated in step 2 do not meet the design requirements, adjust the spare parts configuration plan and return to step 2 for calculation until the calculation results meet the design requirements. Output the corresponding spare parts configuration plan at this time.

[0031] Preferably, in step 3.1, when the satisfaction rate does not meet the design requirements, the spare parts configuration plan is adjusted by increasing the number of spare parts with too low a satisfaction rate.

[0032] Preferably, in step 3.2, when the utilization rate does not meet the design requirements, the spare parts configuration plan is adjusted by reducing the number of spare parts with excessive satisfaction rates.

[0033] Compared with the prior art, the present invention has the following advantages:

[0034] The present invention provides a quantitative calculation and design method for land-based security indicators of marine power systems, which is applied to the security design of marine power systems, forming a set of effective optimization design methods for quantitative security indicators of marine power systems, improving the security design level of the general quality characteristics of my country's marine power systems, and effectively guiding the smooth implementation of the security design of marine power systems.

[0035] Marine power systems are complex, with hundreds of spare parts types. This paper constructs formulas and derivations for spare parts satisfaction and utilization rates, and uses Matlab to develop a program for calculating these rates. This program can batch calculate the satisfaction and utilization rates for multiple spare parts types, forming a fast and effective system-level quantitative indicator calculation method for supportability that can be practically applied in engineering projects. This method also establishes a process for optimizing the design of power system supportability quantitative indicators. Based on the quantitative calculation results, the system supportability design is optimized, resulting in a power system supportability spare parts configuration plan that meets design requirements.

[0036] The present invention provides a fast and effective batch calculation method for spare parts satisfaction rate and utilization rate and security optimization design, forming a set of marine power system security quantitative design process, which has great application value for the design of power system spare parts configuration scheme. BRIEF DESCRIPTION OF THE DRAWINGS

[0037] Figure 1 The figure is a flow chart for designing quantitative indicators of the marine power system security in an embodiment of the present invention. DETAILED DESCRIPTION

[0038] The present invention will be further described in detail below with reference to the accompanying drawings and examples. It will be understood that the specific embodiments described herein are intended only to illustrate the present invention and are not intended to limit the present invention. It should also be noted that, for ease of description, the accompanying drawings only illustrate portions relevant to the present invention, not all structures.

[0039] The technical solution of the present invention provides a method for quantitative calculation and design of land supportability indicators of a marine power system, comprising the following steps:

[0040] Step 1: Determine the types and basic data of spare parts and integrate them, and preliminarily set the spare parts quantity configuration plan;

[0041] Step 2: Set up spare parts configuration plan and calculate satisfaction rate and utilization rate;

[0042] Step 3: Iteratively update the spare parts plan based on the calculation results to form a spare parts configuration plan that meets the requirements of both satisfaction rate and utilization rate.

[0043] like Figure 1 As shown, in one embodiment of the present invention, step 1 specifically includes the following steps:

[0044] Step 1.1: Collect the types and reliability λ of all onboard spare parts of the power system, the number of spare parts n in the equipment, and the accumulated operating time T;

[0045] Step 1.2: Integrate the same components of different devices and arrange them in descending order according to λnT;

[0046] Step 1.3: Set the number of spare parts s for each component. The larger the λnT, the larger the number of spare parts.

[0047] like Figure 1 As shown, in one embodiment of the present invention, step 2 specifically includes the following steps:

[0048] Step 2.1: Assume that there are n components in the system or equipment, and construct an expression for the probability of k failures of the component;

[0049] Step 2.2: Assume there are s spare parts in total. Calculate the probability that the number of failures of the part is no more than s. Assume there are M types of parts in the system or equipment. Calculate the satisfaction rate at the system or equipment level.

[0050] Step 2.3: Calculate the spare parts utilization rate using the expected value based on the probability of failure.

[0051] Step 2.4: Assume that the system or equipment has M types of components. Take the weighted average of the utilization rates of the M types of spare parts to obtain the total utilization rate at the system or equipment level.

[0052] In one embodiment of the present invention, a batch calculation program is written using Matlab to implement calculations based on spare parts satisfaction and utilization. Matlab is used to batch calculate the satisfaction and utilization of each component to obtain the total satisfaction and utilization of the system or equipment. Specifically, the program reads data, sets the number of component types to be calculated, and performs the following process for each component: obtains the inherent characteristic parameter λnT and the number of spare parts s of the current component, then uses a loop statement to calculate the satisfaction and utilization of the current component according to the above formula, outputs the satisfaction and utilization of the current component, and then calculates the next component. The specific steps are as follows:

[0053] Step 2.1: For a component with an exponentially distributed lifetime, the number of failures within the considered time range T follows a Poisson distribution. Suppose there are n such components in the system or equipment. The probability of k failures of such a component in the system or equipment is:

[0054]

[0055] Where λnT represents the inherent characteristic parameters of the current component.

[0056] Step 2.2: The spare parts satisfaction rate refers to the probability that the number of spare parts available can meet the replacement demand when the component fails. That is, assuming there are s spare parts in total, the probability that the number of failures of the component is not greater than s. Assuming that the system or equipment has M types of components, the satisfaction rate P at the system or equipment level can be calculated. a for

[0057]

[0058] Step 2.3: Spare parts utilization refers to the ratio of the number of spare parts actually used to the number of spare parts prepared. Assume there are s spare parts and x are ultimately used. Since x is the number of actual component failures, the expected value can be used for calculation based on the probability of failure, that is:

[0059]

[0060] Step 2.4: Assuming that the system or device has M components, the weighted average utilization can be calculated as the total utilization at the system or device level as follows:

[0061]

[0062] Where M represents the type of component. Since a marine power system has a large number of components, manually calculating the system-level spare parts satisfaction rate and utilization rate based on the above formula is difficult and not conducive to practical engineering application. Therefore, Matlab can be used to batch calculate the satisfaction rate and utilization rate of each component, thereby calculating the overall satisfaction rate and utilization rate of the system or equipment. The specific code is as follows:

[0063] clear;

[0064] clc;

[0065] RY=xlsread('D:\Security Calculation','Sheet2','E2:G182'); %%Call data and fill in the table file name and address correctly

[0066] n=M;%%M is the number of spare parts

[0067] P=zeros(n,2); %% Initialize the matrix

[0068] syms k

[0069] for i=1:n

[0070] a=RY(i,1)

[0071] s=RY(i,2)

[0072] pa = 0;

[0073] pb=0;

[0074] for k=0:s

[0075] p=a^k / factorial(k)*exp(-a)

[0076] pa=pa+p

[0077] p1=a^k / factorial(k)*exp(-a)*k / s

[0078] pb=pb+p1

[0079] pu=1-pa+pb

[0080] end

[0081] P(i,1)=pa;% satisfaction rate

[0082] end;

[0083] like Figure 1 As shown, in one embodiment of the present invention, in step 3, the marine power system security design simultaneously sets design requirements for spare parts satisfaction rate and utilization rate. As can be seen from the above formula, the spare parts satisfaction rate and utilization rate are negatively correlated, that is, for the same component, the greater the satisfaction rate, the lower the utilization rate. Therefore, if the number of spare parts is simply increased or decreased, it is difficult to simultaneously meet the design requirements of both rates. Therefore, it is necessary to continuously iteratively update the number of spare parts for each component based on the calculation results, and finally form a spare parts configuration plan that meets the requirements of both satisfaction rate and utilization rate. The specific design steps are as follows:

[0084] Step 3.1: Determine whether the satisfaction and utilization rates calculated in Step 2 meet the design requirements. If so, generate and output a spare parts configuration plan. Preliminarily set the spare parts configuration plan and calculate the satisfaction and utilization rates. Preliminarily determine the number of spare parts (s) for each component based on the system and component characteristics. Use the calculation procedure in Step 2 to calculate the system, satisfaction, and utilization rates for the preliminary spare parts configuration plan.

[0085] Step 3.2, iteratively update the spare parts plan based on the calculation results, and finally form a spare parts configuration plan that meets the requirements of both satisfaction rate and utilization rate. If the calculation result of step (2) does not meet the design requirements, it is necessary to adjust the number of spare parts for each component and recalculate the new spare parts plan. According to the above formula, the satisfaction rate and utilization rate of the component are mainly related to its inherent attribute λnT in addition to the number of spare parts s. After analysis, it can be found that when s is the same, the larger λnT is, the lower the satisfaction rate and the higher the utilization rate. Therefore, the s value of the component can be appropriately selected based on this feature. Since the satisfaction rate of the system is a multiplication relationship, the satisfaction rate of each component needs to reach a higher value, and the utilization rate is a weighted average relationship. Therefore, by adjusting the number of spare parts s of different components m In total spare parts , thereby maximizing system utilization while meeting system satisfaction requirements. For components with larger λnT, the demand for spare parts increases, and therefore the required number of spare parts s is also larger. Furthermore, calculations show that their utilization rate is more likely to meet design requirements. Therefore, the number of spare parts s for components with larger λnT can be appropriately increased, while the number of spare parts for components with smaller λnT can be minimized.

[0086] In this embodiment, spare part types and basic data are determined and integrated. Because different devices may have similar components, when calculating the fulfillment rate and utilization rate at the system level involving multiple devices, similar components from different devices can be integrated and calculated uniformly to meet spare part requirements while improving overall operational effectiveness.

[0087] The following is a detailed description of a method for quantitatively calculating and designing the land-based security indicators of a marine power system provided in an embodiment of the present invention through a specific example:

[0088] Taking a certain type of marine power control system as an example, its spare parts configuration scheme is designed, requiring that the system-level spare parts satisfaction rate and utilization rate are both greater than 85% within a cumulative operating time of 4,000 hours. The system has a total of 24 devices, and a total of 284 types of spare parts are required to be replaced for each device. Among them, many devices also have spare parts such as power modules, indicator lights, keyboards, and mice. The same spare parts of different devices are merged and integrated. The entire power control system has a total of 183 types of spare parts, among which the inherent parameter value λnt of the light-emitting board is the largest, which is 26.268, and the λnt value of the single-line electric terminal module is the smallest, which is 0.041. According to the λnt value of each type of spare part, its configuration number s is preliminarily set. The larger the λnt value, the larger the number of spare parts s is set. Using the program in the above embodiment to calculate the spare parts satisfaction rate of the power control system under the preliminary configuration scheme is 93%, and the utilization rate is 82%. Under this solution, the temperature sensor had the highest spare parts satisfaction rate for a single component, at 99.99%. This reduced the number of temperature sensor spare parts and increased their utilization. At the same time, the number of spare parts for components with a smaller λnt value than the temperature sensor remained smaller than the number of spare parts for the temperature sensor. The power control system's satisfaction and utilization rates were recalculated, and the new spare parts configuration resulted in a satisfaction rate of 90% and a utilization rate of 84%. The number of spare parts for each component was further adjusted. After four iterations, the final spare parts configuration resulted in a satisfaction rate of 88.7% and a utilization rate of 86.6% for the power control system, meeting design requirements.

[0089] The above is a preferred embodiment of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements and modifications can be made without departing from the principles of the present invention. These improvements and modifications should also be regarded as the scope of protection of the present invention.

Claims

1. A method for quantitative calculation and design of land-based supportability indicators of a marine power system, characterized by: The method comprises the following steps: Step 1: Determine the types and basic data of spare parts and integrate them, and preliminarily set the spare parts quantity configuration plan; Step 2: Set up spare parts configuration plan and calculate satisfaction rate and utilization rate; Step 3: Iteratively update the spare parts plan based on the calculation results to form a spare parts configuration plan that meets the requirements of both satisfaction rate and utilization rate.

2. The method for quantitative calculation and design of land supportability indicators of a marine power system according to claim 1, characterized in that: The step 1 specifically includes the following steps: Step 1.1: Collect the types and reliability λ of all onboard spare parts of the power system, the number of spare parts n in the equipment, and the accumulated operating time T; Step 1.2: Integrate the same components of different devices and arrange them in descending order according to λnT; Step 1.3: Set the number of spare parts s for each component. The larger the λnT, the larger the number of spare parts.

3. The method for quantitative calculation and design of land supportability indicators of a marine power system according to claim 2, characterized in that: The step 2 specifically includes the following steps: Step 2.1: Assume that there are n components in the system or equipment, and construct an expression for the probability of k failures of the component; Step 2.2: Assume there are s spare parts in total. Calculate the probability that the number of failures of the part is no more than s. Assume there are M types of parts in the system or equipment. Calculate the satisfaction rate at the system or equipment level. Step 2.3: Calculate the spare parts utilization rate using the expected value based on the probability of failure. Step 2.4: Assume that the system or equipment has M types of components. Take the weighted average of the utilization rates of the M types of spare parts to obtain the total utilization rate at the system or equipment level.

4. A method for quantitative calculation and design of land supportability indicators of a marine power system according to claim 3, characterized in that: In step 2.1, the probability P(k) that n components will fail k times within the cumulative operating time T is expressed as follows: Where λnT represents the inherent characteristic parameters of the current component.

5. The method for quantitative calculation and design of land supportability indexes of a marine power system according to claim 4, characterized in that: In step 2.2, the satisfaction rate P of the system or device level a Calculated by the following formula:

6. A method for quantitative calculation and design of land supportability indicators of a marine power system according to claim 5, characterized in that: In step 2.3, the spare parts utilization rate P um Use the following formula to calculate: In step 2.4, the total utilization P at the system or device level u Calculated by the following formula: Where M represents the type of component.

7. A method for quantitative calculation and design of land supportability indicators of a marine power system according to claim 6, characterized in that: In step 2, Matlab is used to batch calculate the satisfaction rate and utilization rate of each component to obtain the total satisfaction rate and utilization rate of the system or equipment. Specifically, the following steps are performed: data is read, the number of component types to be calculated is set, and for each component, the following process is performed: the inherent characteristic parameter λnT and the number of spare parts s of the current component are obtained, and then the satisfaction rate and utilization rate of the current component are calculated according to the above formula using a loop statement, the satisfaction rate and utilization rate of the current component are output, and then the next component is calculated.

8. The method for quantitative calculation and design of land supportability indicators of a marine power system according to claim 7, characterized in that: The step 3 at least includes the following steps: Step 3.1: Determine whether the satisfaction rate and utilization rate calculated in step 2 meet the design requirements. If so, generate and output a spare parts configuration plan. Step 3.2: If the satisfaction rate and utilization rate calculated in step 2 do not meet the design requirements, adjust the spare parts configuration plan and return to step 2 for calculation until the calculation results meet the design requirements. Output the corresponding spare parts configuration plan at this time.

9. A method for quantitative calculation and design of land supportability indicators of a marine power system according to claim 8, characterized in that: In step 3.1, when the satisfaction rate does not meet the design requirements, the spare parts configuration plan is adjusted by increasing the number of spare parts with too low a satisfaction rate.

10. A method for quantitative calculation and design of land supportability indicators of a marine power system according to claim 9, characterized in that: In step 3.2, when the utilization rate does not meet the design requirements, the spare parts configuration plan is adjusted by reducing the number of spare parts with an excessively large utilization rate.

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