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- Overview of the course
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- How to use this course
Control analysis with Python for grid connected converters
Quick Facts
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Medium of instructions
English
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Mode of learning
Self study
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Mode of Delivery
Video and Text Based
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Course and certificate fees
Fees information
₹ 499 ₹2,499
certificate availability
Yes
certificate providing authority
Udemy
The syllabus
Introduction
Grid Basics
- Introduction
- An overview of power system grids
- Grid voltage waveforms
- Downloading Python Power Electronics
- Videos on installing Python Power Electronics
- Installing Python Power Electronics
- Simulating a single phase voltage source
- Modeling the grid feeder
- Calculating the feeder impedance
- Simulating a grid with a feeder
- Conclusions
Grid computations
- Introduction
- Peak and RMS calculation concept
- Implementation of peak calculation
- Peak calculation during grid events
- Implementation of RMS calculation
- RMS calculation on non-sinusoidal waveform
- The need for frequency estimation
- Simulation of a system with multiple frequencies
- Introduction to Phase Locked Loop
- Coding the simplified PLL logic
- Performance of the basic PLL
- Frequency response characteristics of the PLL PI controller
- Improved performance of the PLL
- Offsets during numerical integration
- Simulating the integration offset
- Removal of the integration offset
- Design of a Low Pass Filter
- Coding the low pass filter
- Performance of the low pass filter in a simulation
- Operation of the PLL with the low pass filter
- PLL operation when grid frequency changes
- PLL operation when grid voltage has harmonics
- Summing up the PLL control loop
- Conclusions
Introduction to control systems
- Introduction
- Control basics
- Control definitions
- Control objectives in grid connected systems
- System representation of a grid connected converter
- Model of the plant
- Linear time invariant systems
- LTI systems and controllability
- Conclusions
Getting started with system analysis
- Introduction
- Laplace transform and frequency domain representation
- Basics of stability
- Characteristic equation of a system
- Examples of stability
- Installing the python-control package
- Creating transfer functions in Python
- The transfer function object produced by python-control
- Transfer functions in series
- Transfer functions in parallel
- Calculating the transfer function of the closed loop system
- Synthesizing a non-standard transfer function
- Impulse response of a system
- Convolution integral
- Bode plots
- Generating Bode plots using Python
- Using Bode plots to predict simulation results
- Analyzing the simulation results with Bode plots
- Summing up with Bode plots
- Conclusions
Design and analysis of controllers
- Introduction
- Approach to control
- Setting up the simulation
- Converter as a controllable voltage source
- Open loop regulation of converter voltage
- Closing the loop with a unity gain controller
- Analyzing the performance of the unity gain controller
- Bringing in the proportional (P) controller
- Requirements of a controller
- Analyzing the forward transfer function with the proportional controller
- Discrete-time control
- Mathematical model of sampling
- Modified transfer functions with sampling delay
- Bode plots with sampling delay
- Simulating the discrete-time controller
- Coding the transfer function between grid voltage and current
- Analyzing the impact of the grid voltage
- Effect of proportional controller gains on control performance
- Verifying analytical results in a simulation
- Poles of the closed loop system
- Gain margin and phase margin
- Stability margins on a Bode plot
- Analytical design process for the proportional controller
- Design and analysis of a Proportional-Integral controller
- Simulation of the PI controller
- Summing up the control design effort
- Conclusions
Synchronous transformations
- Introduction
- Definition of a moving reference frame
- Example of the use of a moving reference frame
- Rotating reference frame in electrical engineering
- Theory of synchronously rotating reference frame transformation
- Setting up a simulation to implement transformations
- Transformed grid voltages
- Explaining the errors in the simulation
- Transformation with a non synchronous rotating reference frame
- Another look at the PLL control strategy
- System model in the rotating reference frame
- Control approach in the rotating reference frame
- Impact of the rotating reference frame on system transfer functions
- Coding the rotating frame transfer functions in Python
- Computing closed loop system poles
- Plotting closed loop poles for arrays of controller gains
- Dividing the plot into separate Python objects
- Defining user events on the plot window
- Interpreting data related to a mouse moving over the plot
- Mapping controller gains to a particular pole on the plot
- Displaying controller gains on the plot next to a pole
- Using the plot to understand how controller gains affect system stability
- Analyzing system stability
- Setting up simulation for verifying control analysis
- Transforming ac variables to the rotating reference frame in the simulation
- Implementing the PI controller in the rotating reference frame
- Connecting the PI controller to the circuit voltage source
- Analyzing controller variables
- Debugging the controller
- Basic current tracking performance of the controller
- Improving the performance of the controller
- Suggestions for examining performance of the control system
- Conclusions
Simulating the power converter
- H-bridge converter topology
- Connecting a LC filter and load to converter output
- Editing the parameters of the converter and test circuit
- Generating the carrier waveform for Pulse Width Modulation (PWM)
- Sine triangle comparison in PWM
- Open loop operation of the H bridge converter
- Redesigning control gains for converter interconnection to grid
- Setting up the simulation with converter and grid
- Analyzing simulation of grid connected converter
- Examining oscillations in the waveforms
- Adjusting the filter of the power converter
- Concluding remarks and suggestions
Conclusions
Conclusions
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