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Modelling and Simulation in Engineering

Modelling and Simulation in Engineering / 2011 / Article / Tab 1

Research Article

Performances Comparison for a Rotating Shaft Suspended by 4-Axis Radial Active Magnetic Bearings via πœ‡ -Synthesis, Loop-Shaping Design, and Sub ( 𝐻 ) ∞ with Uncertainties

Table 1

Data for simulation.
SymbolDescriptionS.I.
π‘š mass of rotor2.3 Kg
𝐼 𝑃 polar moment of inertia 8 Γ— 1 0 βˆ’ 4  KgΒ·m2
𝐼 𝑇 transverse moment of inertia 6 Γ— 1 0 βˆ’ 2  KgΒ·m2
𝑙 𝑏 𝐴 distance bearing 𝐴 from centre of mass 𝐺 0.241 m
𝑙 𝑏 𝐡 distance bearing 𝐡 from centre of mass 𝐺 0.139 m
𝑙 𝑠 𝐴 distance sensor 𝐴 from centre of mass 𝐺 0.241 m
𝑙 𝑠 𝐡 distance sensor 𝐡 from centre of mass 𝐺 0.119 m
𝐴 𝑔 ( 𝐴 , 𝐡 ) pole surface 6 . 6 Γ— 1 0 βˆ’ 5  m2
𝑔 0 ( 𝐴 , 𝐡 ) nominal gap 3 . 8 1 Γ— 1 0 βˆ’ 4  m
𝛼 slope of bearings axis45Β°
𝛽 angle of two electromagnet poles45Β°
𝛼 slope of bearings axis45Β°
𝑃 π‘š , 𝐼 𝑇 , 𝐼 𝑃 uncertainties percentage 1 0 %
𝛿 π‘š , 𝐼 𝑇 , 𝐼 𝑃 range of uncertainties [ βˆ’ 1 , 1 ]
π‘˜ ( π‘₯ , 𝑦 ) ( 𝐴 , 𝐡 ) displacement gain144000 N/m
π‘˜ ( 𝑖 π‘₯ , 𝑖 𝑦 ) ( 𝐴 , 𝐡 ) current gain38 N/A