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Luiz Fernando Lavado Villa, 2019-02-28 14:48

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h1. Hardware
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{{>toc}}
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The hardware of the single-phase project consists of a 10cm by 10cm printed circuit board that hosts 5 electronics blocks. 
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These blocks all fulfill functions which are necessary to the proper operation of any power electronics converter. 
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Figure 1 illustrates these blocks. 
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p=. {{thumbnail(theory_power_converter_1.png, size=350, title=General overview of a power electronics converter)}}
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_Figure 1 - General overview of a power electronics converter_
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Each block is explained in detail in the sections below. 
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h2. Power Block
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To better explain the Power Block, this page splits its presentation in theory and practice.
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h3. Theory 
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The Power Block is the part that manages input/output power within the board. 
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It consists of a single inverter leg, as illustrated in the figure below. 
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p=. {{thumbnail(single_phase_topology.png, size=350, title=The power topology of the single-phase board)}}
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_Figure 2 - The power topology of the single-phase board_
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Figure 2 shows a Vlow, VHigh, T1, T2, D1, D2 and L. 
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Vlow is the low-side voltage, VHigh is the high-side voltage, T1 and T2 are two transistors, D1 and D2 are two diodes and L is an inductor. 
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This topology is current bi-directional. 
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This means that its input can be either on the high-side or on the low-side. 
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If the input is on the high-side, the circuit acts as a buck or step-down converter.
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If the input is on the low-side, the circuit acts as a boost or step-up converter.
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This topology allows the control of the current in the inductor L by controlling its charge and discharge using the switches. 
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The figure below shows the switching and the current flow within the inductor. 
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p=. {{thumbnail(states_converter_1.png, size=700, title=Current flow during switching)}}
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_Figure 3 - The power topology of the single-phase board_
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The switching leads to an average current flow between its input and output as shown in the image below.
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p=. {{thumbnail(switching_states_1.png, size=700, title=Current flow during switching)}}
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_Figure 4 - Left: average current in the inductor increases_
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_Center: average current in the inductor stable_
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_Right: average current in the inductor decreases_
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As figure 4 shows, the key to control the current in the power converter is to control the duration of the signal that is sent to the transistors. 
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This duration is called *duty cycle* .
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A longer duty cycle will lead to a increase in current, while a shorter duty cycle will lead to a decrease in current. 
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The duty cycle is the single most important control variable in a power converter. 
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The presentation above is, obviously, not complete since there are further phenomena to be taken into account.
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The instantaneous rise and fall in current will lead to abrupt variations in voltage at both the high and low sides. 
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To filter these variations, power converters are equipped with capacitors in both sides, which effectively provide the instantaneous current needed by the converter. 
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The relationship between high and low side voltages, high and low side currents, and the duty cycle is given by the equations below.
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p=. !http://www.codecogs.com/eq.latex?\dfrac{V_{High}}{V_{Low}}=\dfrac{I_{Low}}{I_{High}}=\dfrac{1}{1-D}!
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_Equation 1 - Relation between High and Low variables, and the duty cycle for a Boost Mode operation_
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p=. !http://www.codecogs.com/eq.latex?\dfrac{V_{High}}{V_{Low}}=\dfrac{I_{Low}}{I_{High}}=\dfrac{1}{D}! [1]
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_Equation 2 - Relation between High and Low variables, and the duty cycle for a Buck Mode operation_
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The required condition for these equations to 
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All the other blocks exist to provide stable operation conditions that   
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h3. Practice 
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h2. Measurement Block
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h2. Control Block
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h2. Driver Block
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h2. Feeder Block