CAJ | 학술논문

已有研究指出基于测量不确定度的测点正常率是真值未知情况下可信的状态估计结果评价指标，进而提出了以测点正常率最大为目标的抗差状态估计新方法。该方法通过整数测点评价函数的连续近似，建立了状态估计的非线性连续变量优化模型，并采用内点法求解该模型，获取近似优化的估计结果。在上述研究基础上，文中提出了一种改进算法：通过对异常测点进行相容性校验，以获得测点正常率更高的估计结果；通过考虑不等式约束的最小二乘估计对正常测点进行滤波，以获得精度更高的估计结果。算例表明该改进算法可有效提高估计结果的抗差性和准确性，且增加的计算量能够满足应用要求。
이유연구지출기우측량불학정도적측점정상솔시진치미지정황하가신적상태고계결과평개지표，진이제출료이측점정상솔최대위목표적항차상태고계신방법。해방법통과정수측점평개함수적련속근사，건립료상태고계적비선성련속변량우화모형，병채용내점법구해해모형，획취근사우화적고계결과。재상술연구기출상，문중제출료일충개진산법：통과대이상측점진행상용성교험，이획득측점정상솔경고적고계결과；통과고필불등식약속적최소이승고계대정상측점진행려파，이획득정도경고적고계결과。산례표명해개진산법가유효제고고계결과적항차성화준학성，차증가적계산량능구만족응용요구。
Previous work has shown that the normal measurement rate based on measurement uncertainty is a credible evaluation index for state estimation when the true state is unknown.Then a new robust state estimation algorithm based on maximum normal measurement rate is proposed.By approximating the evaluation function,a nonlinearly continuous variable optimal model is developed,and the interior point algorithm is used to solve this model to obtain approximate results.Based on the above study,this paper proposed an improved algorithm by checking the consistency of abnormal measurements to obtain solutions with a higher normal measurement rate,and filtering the noise of normal measurements based on least square estimation with inequality constraints to obtain a more accurate solution.Numerical tests on different systems show the proposed algorithm is efficient for obtaining robust and accurate results,while the increased computing time is acceptable.