Analytic solutions to state space equations equations of a system, SISO and MIMO sinusoidal steady state Storing amplitude and phase of a signal in a complex number finding sinusoidal solutions impedance and admittance root mean square in signals
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James W. Nilsson, Susan A. Riedel - Electric Circuits (2023, Pearson) - libgen.li.pdf
1. Mathematical Systems Theory
- Linear State Equations
- Distinct Eigenvalues
- Series Expansion of Homogeneous Solution
- State Transition Matrix
- Properties of State Transition Matrix
- Non-Homogeneous State Equations
- Controllability
- Observability
2. Sinusoidal Steady-State Analysis
- Phasor Analysis
- Properties of Phasors
- Representation of State-Space Equations
- Transfer Function
- Kirchhoff’s Laws in the Frequency Domain
- The Passive Circuit Elements in the Frequency Domain
- The Concept of Impedance and Admittance
3. Sinusoidal Steady-State Analysis
- Sinusoidal Steady-State Power Calculation
- Average Power
- Complex, Real, and Reactive Powers
- Tellegen’s Theorem
- Maximum Power Transfer
4. Sinusoidal Steady-State Analysis
- Mesh-Current Method in the Frequency Domain
- Node-Voltage Method in the Frequency Domain
- Network Functions
- Superposition of Sinusoidal Steady States
- Thevenin-Norton Equivalent Circuits
5. Three-Phase Systems
- Y-Connected Source
- Line-to-Line Voltage
- Delta-Connected Source
- Load in Three-Phase Circuit (Delta-to-Y)
- Power Calculation in Balanced Three-Phase Circuits
6. Laplace Transform in Circuit Analysis
- Laplace Transform
- Inverse Laplace Transform
- Analysis of State-Space Equations
- Characteristic Polynomial
- Stability and the Routh-Hurwitz Criterion
- Routh-Hurwitz Criterion
- Circuit Elements in the s-Domain
- Network Parameters
- Combinations of Two-Port Networks
- Reciprocal Networks
- Thevenin-Norton Equivalent Circuits
7. Laplace Transform in Circuit Analysis
- Circuit Elements in the s-Domain
- Circuit Analysis in the s-Domain
- Network Parameters
- Combinations of Two-Port Networks
- Reciprocal Networks
- Thevenin-Norton Equivalent Circuits
8. Block Diagrams and Signal-Flow Graphs
- Block Diagrams
- Block Diagram Reduction
- Feedback
- Example
- Signal-Flow Graphs
9. Bode Plot
- Bode Plot