Наблюдаемость электроэнергетических систем - Гамм А.З.
ISBN 5-02-006643-5
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Заключение............................................................... 191
Литература .............................................................. 193
CONTENTS
Preface
Chapter I. Introduction............................................................ 3
1.1. Generalproblem of observability.......................................... 4
1.2. Introduction into the concept of observability........................... 7
1.3. Stateoftheartofpowersystemobservabilitystudy............................. 9
Cbaptei 2. Tffpologfcal observability and related problems......................... 17
2.1. Topological observability of a linear electric circuit.................... 17
2.2. Algorithms of topological observability test and choice of a basic set of
a basic set of measurements.............................................. 25
2.3. Algorithms of distinguishing observable and unobservable islands in unobservable power systems 31
2.4. Other algorithms of topological observability test....................... 32
2.5. Detection of critical and поп-critical measurements...................... 45
2.6. Determination of area of liad-data effect................................ 49
2.7. Devising of test equations according to the groups of non-ciitical measurements ......................................................................... 54
2.8. Synthesis of data acquisition system providing bad-data identification .... 55
2.9. Measurementredundancyforreliabilityofobservability....................... 58
2.10. Measurement redundancy with retianslation in the intermediate dispatching
point.................................................................... 65
2.11. Choice of the basis providing calculation of the state of network graph
subsystems without solution of a system of equations..................... 69
2.12. Algorithm for finding the minimal connected components of network
graph.................................................................... 73
Chapter 3. Linearized model observability.......................................... 77
3.1. Topologically undiscovered unobservability............................... 77
3.2. Estimation of state parameters of unobservable systems by the Gams
method................................................................... 83
3.3. Estimation by the Cholesky method........................................ 86
3.4. Equivalentingofunobservablesubsystems.................................... 88
3.5. Dependence of observability on state vector and transformation of equations.......................................................................... 94
3.6. Test equations and their connection with observability................... 99
3.7. Problems solved by test equations........................................ 103
3.8. Applicationofbasicmeasurementsystemforstateestimation.................... 106
Chapter 4. Nonlinear system observability.......................................... 109
4.1. Effectofnonlinearity..................................................... 109
4.2. Redundancyasameansofnonlinearobservability............................... 112
4.3. Provisionoffullnonlinearobservabilitybythebasicsetofmeasurements . . 115
4.4. Uniqueness of state estimation problem solution.......................... 116
Chapter 5. Quantitative assessment of observability................................ 118
5.1. Conditionnumber.......................................................... 118
5.2. Orthogonality.........................................-................... 120
199
5.3. Matrixdeterminant........................................................ 121
5.4. Matrixtracc.............................................................. 122
5.5. Interconnection of observability quality criteria........................ 123
5.6. Optimization algorithms of the basic set of measurements................. 127
5.7. Algorithmsofchoosingtheredundantsetofnieasmements........................ 132
5.8. Estimation accuracy of controlled state parameters....................... 135
5.9. Criterion of maximum probability of bad-data detection................... 136
Chapter 6. e-observability and є-equivalenting..................................... 138
6.1. Concenpt of e-observability.............................................. 138
6.2. e-estimation with e-unobservability...................................... 140
6.3. е-equivalenting.......................................................... 142
Chapter 7. Information value and observability..................................... 144
7.1. Interconnectionofobservabilityandinformationvalue........................ 144
7.2. Criteria of control and information value................................ 145
7.3. Information value for N-criteria......................................... 146
7.4. Information value for some L-criteria.................................... 155
