Uploaded by Jorge Barajas

Electrical & Mechanical Systems Reference Sheet

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Resistor
Electrical Systems and motors
𝑒𝑅 = 𝑖 ∗ 𝑅
Inductor
Back-EMF
𝑑𝑖
𝑑𝑑
𝑑𝑒𝑐 𝑖
=
𝑑𝑑
𝐢
𝑒𝑏 = πΎπ‘š ∗ πœ”π‘š
Electromagnetic Torque
πœπ‘š = πΎπ‘š ∗ 𝑖
Capacitor
DC-Motor Scheme
𝑒𝐿 = 𝐿 ∗
𝑒𝑖𝑛 − π‘’π‘Ÿ − 𝑒𝐿 − 𝑒𝐡 = 0
Thermal Systems
Thermal Capacity
𝐢 = 𝜌 ∗ ∀ ∗ 𝐢𝑝
1
π‘žπ‘œπ‘’π‘‘ (wall)
(𝑇 − π‘‡π‘Ž )
𝑅
R (flat wall)
𝑑
𝐴∗π‘˜
Rotational Systems
No-slip wheel on flat
No-slip wheel on wheel
π‘₯ = πœƒ∗π‘Ÿ
πœƒ1 ∗ π‘Ÿ1 = πœƒ2 ∗ π‘Ÿ2
Transient Response to a 2nd order system
Settling Time (Below)
Break away point: K = ….
π‘‘π‘˜
= 0, 𝑠 π‘£π‘Žπ‘™π‘’π‘’π‘  π‘’π‘žπ‘’π‘Žπ‘™π‘  π‘π‘Ÿπ‘’π‘Žπ‘˜π‘Žπ‘€π‘Žπ‘¦ π‘π‘œπ‘–π‘›π‘‘
𝑑𝑠
Block Diagram Simplification (Closed feedback
loop)
Routh’s Conditions: All coefficients the same sign and no coefficient is zero.
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