A novel three-phase AC-DC-AC Sparse Matrix Converter (SMC) having no energy storage elements in the DC link and employing only 15 IGBTs as opposed to 18 IGBTs of a functionally equivalent conventional AC-AC matrix converter (CMC) is proposed. It is shown that the realization effort could be further reduced to only 9 IGBTs (Ultra Sparse Matrix Converter, USMC) in case the phase displacement of the fundamentals of voltage and current at the input and at the output is limited to ±π/6. The dependency of the voltage and current transfer ratios of the systems on the operating parameters is analyzed and a space vector modulation scheme is described in combination with a zero current commutation procedure. Furthermore, a safe multi-step current commutation concept is treated briefly. Conduction and switching losses of the SMC and USMC are calculated in analytically closed form. Finally, the theoretical results are verified in Part II of the paper by digital simulations and results of a first experimental investigation of a 10kW/400V SMC prototype are given. 5 b c c 0 1 0 0 0 1 0 0 1 u bc 0 -u bc 0 i A -i A 6 b a a 0 1 0 1 0 0 1 0 0 -u ab 0 u ab -i A i A 0 7 c a a 0 0 1 1 0 0 1 0 0 u ca 0 -u ca -i A 0 i A 8 c b b 0 0 1 0 1 0 0 1 0 -u bc 0 u bc 0 -i A i A 9 a b b 1 0 0 0 1 0 0 1 0 u ab 0 -u ab i A -i A 0 10 c a c 0 0 1 1 0 0 0 0 1 u ca -u ca 0 i B 0 -i B 11 c b c 0 0 1 0 1 0 0 0 1 -u bc u bc 0 0 i B -i B 12 a b a 1 0 0 0 1 0 1 0 0 u ab -u ab 0 -i B i B 0 13 a c a 1 0 0 0 0 1 1 0 0 -u ca u ca 0 -i B 0 i B 14 b c b 0 1 0 0 0 1 0 1 0 u bc -u bc 0 0 -i B i B 15 b a b 0 1 0 1 0 0 0 1 0 -u ab u ab 0 i B -i B 0 16 c c a 0 0 1 0 0 1 1 0 0 0 u ca -u ca i C 0 -i C 17 c c b 0 0 1 0 0 1 0 1 0 0 -u bc u bc 0 i C -i C 18 a a b 1 0 0 1 0 0 0 1 0 0 u ab -u ab -i C i C 0 19 a a c 1 0 0 1 0 0 0 0 1 0 -u ca u ca -i C 0 i C 20 b b c 0 1 0 0 1 0 0 0 1 0 u bc -u bc 0 -i C i C 21 b b a 0 1 0 0 1 0 1 0 0 0 -u ab u ab i C -i C 0 22 a b c 1 0 0 0 1 0 0 0 1 u ab u bc u ca i A i B i C 23 a c b 1 0 0 0 0 1 0 1 0 -u ca -u bc -u ab i A i C i B 24 b a c 0 1 0 1 0 0 0 0 1 -u ab -u ca -u bc i B i A i C 25 b c a 0 1 0 0 0 1 1 0 0 u bc u ca u ab i C i A i B 26 c a b 0 0 1 1 0 0 0 1 0 u ca u ab u bc i B i C i A 27 c b a 0 0 1 0 0 1 1 0 0 -u bc -u ab -u ca i C i B i A

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Small amphiphilic peptides are attractive building blocks to design biocompatible supramolecular structures via self-assembly, with applications in, for example, drug delivery, tissue engineering, and nanotemplating. We address the influence of systematical changes in the amino acid sequence of such peptides on the self-assembled macromolecular structures. For cationic-head surfactant-like eight-residue peptides, the apolar tail amino acids were chosen to systematically vary the propensity to form an alpha-helical secondary structure while conserving the overall hydrophobicity of the sequence. Characterization of the supramolecular structures indicates that for short peptides a beta-sheet secondary structure correlates with ribbonlike assemblies while random-coil and alpha-helical secondary structures correlate with assembly of rods.