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基于积分原理的储油罐变位识别与罐容表标定
发表时间：2011-03-31 浏览量：1809 下载量：857
| 全部作者： | 樊宇，王宇楠，王俊杰，曹奇 |
| 作者单位： | 河海大学土木与交通学院；河海大学港口海岸与近海工程学院；河海大学地球科学与工程学院 |
| 摘 要： | 针对储油罐的变位识别与罐容表标定问题，建立椭圆形平头储油罐计算模型、圆形球缺顶储油罐计算模型和最小二乘法搜索模型3个计算模型。首先，对截面进行积分，给出当纵向倾斜角α取0～4.1°时平头罐内油位高度h与储油量V的函数关系式。再者，为计算圆形球缺顶罐头体积，采用化斜为正和拆左补右的方法，求出倾斜时的球缺体积并最终得到V关于参数α，β，h的表达式。在最小二乘法搜索模型中，提出总偏差F（α， β）的概念，将参数α，β的求解问题转化为最优化问题，通过逐步缩小参数范围提高其精度并得最优解。最后，通过Matlab拟合得到3个模型的误差校正函数，经过误差分析发现：误差校正函数主要与油液度数h、参数α及β有关，此外，在油液体积较大且温度较高时，还受温度T影响。 |
| 关 键 词： | 能源计算与测量；微积分；罐容表；最小二乘法；变位识别；误差分析 |
| Title： | Displacements recognition of storage tank and calibration of tank capacity charts based on integration |
| Author： | FAN Yu, WANG Yunan, WANG Junjie, CAO Qi |
| Organization： | College of Civil and Transportation Engineering, Hohai University; College of Harbour, Coastal and Offshore Engineering, Hohai University |
| Abstract： | In this paper, to identify the displacements and tank capacity charts calibration, the oval crew-cut oiltank computing model, round ball top oiltank computing model and least-square searching model are established. By integrating the section, the paper is first concerned with the function expression of oil level height h and storage volume V in the crew-cut oil tank, when longitudinal angle α varies from 0 to 4.1 °. When the round ball top is sloped, this paper utilizes two special ideas to compute the volume of round ball top and finally to obtain the expression V with respect to parameter α and parameter β and h. In least-square searching model, the paper introduces the concept of the total deviation F (α, β), in which the solving problem of the parameter α and β becomes an optimization problem. By gradually narrowing parameter scope, the accuracy can be improved and the optimal solution can furthermore be presented. With the aid of Matlab, this paper finally presents error correction function of three models. Error analyses indicate that error correction function is mainly related with oil height h, parameter α and parameter β. In addition, it is influenced by temperature T, as the oil volume is larger and the temperature is higher. |
| Key words： | energy calculation and measurement; integration; tank capacity charts; least-square method; displacements recognition; error analysis |
| 发表期数： | 2011年3月第6期 |
| 引用格式： | 樊宇，王宇楠，王俊杰，等. 基于积分原理的储油罐变位识别与罐容表标定[J]. 中国科技论文在线精品论文，2011，4（6）：512-525. |
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