1. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Virtual variable displacement pump using a three-way on/off valve Figure Legend:

2. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Three-way circuit with split tank and load valves, check valve, and soft switch Figure Legend:

3. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Area profiles for 1 PWM period Figure Legend:

4. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Inlet pressure profile for a three-way circuit with a relief valve Figure Legend:

5. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Diagram of the soft switch chamber Figure Legend:

6. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Power loss over 1 PWM period for a system with a relief valve Figure Legend:

7. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Power loss over 1 PWM period for a system with a check-valve-only Figure Legend:

8. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Pressure profile for a system with soft switching Figure Legend:

9. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Flow rates in a soft switching system Figure Legend:

10. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Position of the soft switch piston over 1 PWM period Figure Legend:

11. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Power loss over 1 PWM period for a system with soft switching Figure Legend:

12. Date of download: 5/30/2016 Copyright © ASME. All rights reserved. From: Soft Switching Approach to Reducing Transition Losses in an On/Off Hydraulic Valve J. Dyn. Sys., Meas., Control. 2012;134(6):064501-064501-6. doi:10.1115/1.4006620 Reduction in energy lost/switch (J) from the check valve to the soft switching case Figure Legend: