... dTiiii=−−⎡⎣⎤⎦ˆˆ (11. 3-24) and vvas bs==0 (11. 3-25) Algebraically manipulating (11. 2-2) , (11. 3-1) , (11. 3-2) , (11. 3-13) , (11. 3-14) , (11. 3-24) , and (11. 3-25) , it is possible ... dcdd=+ + (11. 3-22) Combining (11. 3-21) and (11. 3-22) yields didtErlieLlddc c g d ddc cˆcosˆ=−+⎛⎝⎜⎞⎠⎟−+36 32παπω (11. 3-23) 452 SEMI- CONTROLLED BRIDGE CONVERTERS ... ˆaqgvˆaqgiˆgqgiEˆdiˆdiˆdiˆdiˆadgvˆadgiˆgdgi (11. 3-10) (11. 3-9) (11. 3-51) (11. 3-37) (11. 3-46) (11. 3-47) (11. 3-49) (11. 3-50) (11. 3-40) (11. 3-41)ˆdiˆdpiˆde (11. 3-23)1pa* (11. 3-28)gaaaqgaCONCLUSIONS AND EXTENSIONS 457 converters to synchronous...