An intensive research interest in the field of matrix converter started with the
publishing of the paper about matrix converter by alesia and venturini in 1981.In
this paper they proposed a duty cycle approach towards the matrix converter problem.
Initially the problem of the papers it has only limited voltage transfer ratio of 0.5. The
aim when using the Alesina and Venturini modulation method is to find a modulation
matrix which satisfies the following set of equations.
v0 (t) = m(t).vi (t) (2.4)
ii (t) = m(t)T .i0 (t) (2.5)
The elements of m(t) that satisfies the above two equations are
mij (t) = 1/3 ∗ α1 {1 + q ∗ cos[(ω0 − ωi ) + 2/3 ∗ π ∗ (i − j)]}+
1/3*α2 {1 + q ∗ cos[(ω0 − ωi ) + 2/3 ∗ π ∗ (2 − i − j)]}(2.6)
where
α1 = 1/2[1 + (tan(φi )/tan(φ0 ))] (2.7)
α2 = 1 − α1 (2.8)
q = V0 /Vi (2.9)
In 1989 both the anthers proposed a new optimum AV method with improved
voltage transfer ratio of 0.866. In addition to this using this method we can improve the input power factor control.
publishing of the paper about matrix converter by alesia and venturini in 1981.In
this paper they proposed a duty cycle approach towards the matrix converter problem.
Initially the problem of the papers it has only limited voltage transfer ratio of 0.5. The
aim when using the Alesina and Venturini modulation method is to find a modulation
matrix which satisfies the following set of equations.
v0 (t) = m(t).vi (t) (2.4)
ii (t) = m(t)T .i0 (t) (2.5)
The elements of m(t) that satisfies the above two equations are
mij (t) = 1/3 ∗ α1 {1 + q ∗ cos[(ω0 − ωi ) + 2/3 ∗ π ∗ (i − j)]}+
1/3*α2 {1 + q ∗ cos[(ω0 − ωi ) + 2/3 ∗ π ∗ (2 − i − j)]}(2.6)
where
α1 = 1/2[1 + (tan(φi )/tan(φ0 ))] (2.7)
α2 = 1 − α1 (2.8)
q = V0 /Vi (2.9)
In 1989 both the anthers proposed a new optimum AV method with improved
voltage transfer ratio of 0.866. In addition to this using this method we can improve the input power factor control.
good work
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