{"title":"两种蒸汽压缩循环模型的分析与定性可观测性","authors":"Ricus Husmann, H. Aschemann","doi":"10.1109/ICSTCC55426.2022.9931863","DOIUrl":null,"url":null,"abstract":"In this paper, a physically-oriented vapor compression cycle model is analyzed regarding different measures of the degree of observability. The high-dimensional nonlinear model employs pressures and enthalpies as state variables and involves two control inputs. A set of equilibrium points is determined over a grid of both input variables, and corresponding Taylor linearizations are performed. After an analysis of the eigenvalue locations, the observability properties are investigated using two alternative approaches: the first is based on the observability Gramians, the second on a stationary Kalman Filter. The analysis of the Gramians provides a deeper insight into the interconnections of states and individual measured outputs, whereas the Kalman Filter indicates the achievable estimation quality which is related to the variances. Moreover, a direct way to include equality constraints related to the overall mass conservation and its impact on the observability is discussed in detail.","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"277 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Analysis and Qualitative Observability of Two Vapor Compression Cycle Models\",\"authors\":\"Ricus Husmann, H. Aschemann\",\"doi\":\"10.1109/ICSTCC55426.2022.9931863\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a physically-oriented vapor compression cycle model is analyzed regarding different measures of the degree of observability. The high-dimensional nonlinear model employs pressures and enthalpies as state variables and involves two control inputs. A set of equilibrium points is determined over a grid of both input variables, and corresponding Taylor linearizations are performed. After an analysis of the eigenvalue locations, the observability properties are investigated using two alternative approaches: the first is based on the observability Gramians, the second on a stationary Kalman Filter. The analysis of the Gramians provides a deeper insight into the interconnections of states and individual measured outputs, whereas the Kalman Filter indicates the achievable estimation quality which is related to the variances. Moreover, a direct way to include equality constraints related to the overall mass conservation and its impact on the observability is discussed in detail.\",\"PeriodicalId\":220845,\"journal\":{\"name\":\"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)\",\"volume\":\"277 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICSTCC55426.2022.9931863\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSTCC55426.2022.9931863","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis and Qualitative Observability of Two Vapor Compression Cycle Models
In this paper, a physically-oriented vapor compression cycle model is analyzed regarding different measures of the degree of observability. The high-dimensional nonlinear model employs pressures and enthalpies as state variables and involves two control inputs. A set of equilibrium points is determined over a grid of both input variables, and corresponding Taylor linearizations are performed. After an analysis of the eigenvalue locations, the observability properties are investigated using two alternative approaches: the first is based on the observability Gramians, the second on a stationary Kalman Filter. The analysis of the Gramians provides a deeper insight into the interconnections of states and individual measured outputs, whereas the Kalman Filter indicates the achievable estimation quality which is related to the variances. Moreover, a direct way to include equality constraints related to the overall mass conservation and its impact on the observability is discussed in detail.