• Title/Summary/Keyword: Observability

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Complete and Incomplete Observability Analysis by Optimal PMU Placement Techniques of a Network

  • Krishna, K. Bala;Rosalina, K. Mercy;Ramaraj, N.
    • Journal of Electrical Engineering and Technology
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    • v.13 no.5
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    • pp.1814-1820
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    • 2018
  • State estimation of power systems has become vital in recent days of power operation and control. SCADA and EMS are intended for the state estimation and to communicate and monitor the systems which are operated at specified time. Although various methods are used we can achieve the better results by using PMU technique. On placing the PMU, operating time is reduced and making the performance reliable. In this paper, PMU placement is done in two ways. Those are 'optimal technique with pruning operation' and 'depth of unobservability' considering incomplete and complete observability of a network. By Depth of Unobservability Number of PMUs are reduced to attain Observability of the network. Proposed methods are tested on IEEE 14, 30, 57, SR-system and Sub systems (1, 2) with bus size of 270 and 444 buses. Along with achieving complete observability analysis, single PMU loss condition is also achieved.

Observability Analysis of Alignment Errors in GPS/INS

  • Lee Mun Ki;Hong Sinpyo;Lee Man Hyung;Kwon Sun-Hong;Chun Ho-Hwan
    • Journal of Mechanical Science and Technology
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    • v.19 no.6
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    • pp.1253-1267
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    • 2005
  • Misalignment can be an important problem in the integration of GPS/INS. Observability analysis of the alignment errors in the integration of low-grade inertial sensors and multi-antenna GPS is presented in this paper. A control-theoretic approach is adopted to study the observability of time-varying error dynamics models. The relationship between vehicle motions and the observability of the errors in the lever arm and relative attitude between GPS antenna array and IMU is given. It is shown that alignment errors can be made observable through maneuvering. The change of acceleration makes the components of the relative attitude error that are orthogonal to the direction of the acceleration change observable. The change of angular velocity makes the components of the lever arm error that are orthogonal to the direction of the angular velocity observable. The motion of constant angular velocity has no influence on the estimation of the lever arm.

Controllability and Observability of Sylvester Matrix Dynamical Systems on Time Scales

  • Appa Rao, Bhogapurapu Venkata;Prasad, Krosuri Anjaneya Siva Naga Vara
    • Kyungpook Mathematical Journal
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    • v.56 no.2
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    • pp.529-539
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    • 2016
  • In this paper, we obtain solution for the first order matrix dynamical system and also we provide set of necessary and sufficient conditions for complete controllability and complete observability of the Sylvester matrix dynamical system.

A Balanced Model Reduction for Fuzzy Systems with Time Varying Delay

  • Yoo, Seog-Hwan;Park, Byung-Jae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.4 no.1
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    • pp.1-6
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    • 2004
  • This paper deals with a balanced model reduction for T-S(Takagi-Sugeno) fuzzy systems with time varying state delay. We define a generalized controllability gramian and a generalized observability gramian for a stable T-S fuzzy delayed systems. We obtain a balanced state space realization using the generalized controllability and observability gramian and obtain a reduced model by truncating states from the balanced state space realization. We also present an upper bound of the approximation error. The generalized controllability gramian and observability gramian can be computed from solutions of linear matrix inequalities. We demonstrate the efficacy of the suggested method by illustrating a numerical example.

Study on the Observability of a Calibration System for a Parallel Tilting Table with Measuerment Operator (측정연산자에 의한 병렬기구 틸팅 테이블의 관측성에 관한 연구)

  • Park Kun Woo;Lee Min Ki;Kim Tae Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.6 s.237
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    • pp.795-803
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    • 2005
  • This paper studies the observability of calibration system with a measurement operator. The calibration system needs a simple digital indicator to measure the mobile table movements with respect to the MC coordinate. However, it yields the concern about the poor parameter observability due to measuring only a part of the movements. We uses the QR-decomposition to find the optimal calibration configurations maximizing the linear independence of rows of an observation matrix. The number of identifiable parameter is examined by the rank of the observation matrix, which represents the parameter observability. The method is applied to a 6-axis MC with parallel tilting table and the calibration results are presented. These results verify that all necessary kinematic parameters are observable and the calibration system has robustness to the noise using optimal calibration configurations.

Study on the Observability of Calibration System with a Constraint Oprerator (구속연산자에 의한 보정 시스템의 관측성에 관한 연구)

  • Lee, Min-Ki;Kim, Tae-Sung;Park, Kun-Woo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.4
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    • pp.647-655
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    • 2003
  • This paper studies the observability of calibration system with a constraint movement by a constraint operator. The calibration system with the constraint movement need only simple sensing device to check whether the constraint movements are completed within an established range. However, it yields the concern about the poor parameter observability due to the constraint movements. This paper uses the QR-decomposition to find the optimal calibration configurations maximizing the linear independence of rows of a observation matrix. The number of identifiable parameters are examined by the rank of the observation matrix, which represents the parameter observability. The method is applied to a parallel typed machining center and the calibration results are presented. These results verify that the calibration system with low-cost indicators and simple planar table is accurate as well as reliable.

Reliability Analysis of Measurement System by Observability Identification technique (기관측성 판정기법에 의한 측정시스템의 신뢰도분석)

  • Lee, Eung-Hyuk;Hong, Kwak-No;Hyun, Moon-Young
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.125-128
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    • 1987
  • This paper deals with the topological observability analysis and the derivation of a reliability evaluation formula of a measurement system for state estimation. An analogy of the DC power flow method to the DC circuit analysis is introduced, and all the relationship between power flows and phase angles are replaced by the corresponding current-voltage relation. As a result, a set of topological measurement equation expressed in the form of the incidence matrix is derived for the topological analysis, and the observability test is carried out by examining the rank of the measurement matrix. The reliability evaluation formula was derived experimentally by testing the observability of sample systems of IEEE-14, IEEE-3.0, IEEE-57.

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Monte-Carlo Simulation and measuring for Error Analysis of 3-axis SCARA Robot using Observability (관측성을 이용한 3축 SCARA Robot의 오차분석을 위한 Monte-Carlo simulation 및 측정)

  • Ju, Ji-Hun;Chung, Won-Jee;Kim, Jung-Hyun
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.4
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    • pp.8-14
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    • 2008
  • This paper aims at finding out dominant robot configurations with maximal position errors, which can be attributed to the parameter errors, by using Monte-Carlo simulation for error analysis of a 3-axis SCARA(Selective Compliance Assembly Robot Arm) type robot. In particular, the Monte-Carlo simulation is used for virtually measuring on the position errors, instead of physical measurement. In order to measure the observability of the model parameters with respect to a set of robot configurations, we propose the observability index which is defined as the product of singular values for error propagation matrices. Thus the index can be used for discriminating dominant robot configurations from a set of simulated ones in conjunction with standard deviation of positional errors, This paper analyzed error by robot positional error.

Hierarchical Decentralized Supervisory Control of Discrete Event Systems

  • Kim, Seong-Gyu;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.73.6-73
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    • 2001
  • In this paper, we consider a hierarchical decentralized supervisory control of discrete event systems underpartial observation in two-level hierarchical structure since the observability is a practical and general property in modeling of real systems. Hierarchical consistencies of controllability and observability on the hierarchical decentralized supervisory control are investigated and relevant conditions are proposed to ensure such hierarchical consistencies.

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